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Paper Citation Record · LEDGER

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$

As of 22 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:1908.02456.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02456 v2

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:52:28.249596Z

measured 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

73 of 73 outbound references displayed

  • verified exact0
  • verified fuzzy57
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed88a649-63a4-4390-85ae-fb0d998fc60f · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:29.371139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6c94ac2d-ad74-4b22-9c6c-d05af18a5e32 · outbound

This paper cites Molecular electronic-structure theory.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Molecular electronic-structure theory

Reference 2

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2ef68f6b-c859-4059-856d-80751dafe4d0 · outbound

This paper cites One should notice that the difference between the analytical so lution and the exact solution of the discrete model might not be small due to th e large grid spacing.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ One should notice that the difference between the analytical so lution and the exact solution of the discrete model might not be small due to th e large grid spacing

Reference 3

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 35b3d498-2aab-487b-9b6c-bb7688213008 · outbound

This paper cites Complex absorbing potential based Lorentzian fitting scheme and time dependen t quantum transport.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Complex absorbing potential based Lorentzian fitting scheme and time dependen t quantum transport

Reference 4

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b8b87999-ffed-4733-8b33-3e91ae5c54f2 · outbound

This paper cites Yabana, T.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Yabana, T

Reference 5

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Observation d477bbe9-985d-40c9-a7c7-61cd9e89ef14 · outbound

This paper cites Hellums and William R.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Hellums and William R

Reference 6

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d5309aa-a5cf-4a4b-a7a1-9331839a54ae · outbound

This paper cites Scrinzi, H.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Scrinzi, H

Reference 7

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verified fuzzy
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bbd6d7c0-55e2-4153-8545-815d456deb51 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-08-14T14:52:29.281456Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 11b680fd-081c-43e9-8b14-40b87feae4b9 · outbound

This paper cites The definition of molecular resonance curve s by the method of exterior complex scaling.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ The definition of molecular resonance curve s by the method of exterior complex scaling

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1e49e4b4-6119-48ae-87d5-9a76aeda227b · outbound

This paper cites Solving the thr ee-body Coulomb breakup problem using exterior complex scaling.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Solving the thr ee-body Coulomb breakup problem using exterior complex scaling

Reference 10

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Observation fece2e8f-2b63-4eee-8545-de1e3bc631d1 · outbound

This paper cites octopus: a first-principles tool for excited electron–ion dynamics.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ octopus: a first-principles tool for excited electron–ion dynamics

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ec39ec59-2d68-408e-bfed-35a9bb2ddc72 · outbound

This paper cites A general and efficien t pseudopotential Fourier fil- tering scheme for real space methods using mask functions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ A general and efficien t pseudopotential Fourier fil- tering scheme for real space methods using mask functions

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 5c777036-f065-4ec7-b556-ac786a152caf · outbound

This paper cites Mask-function real-space implementat ions of nonlocal pseudopotentials.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Mask-function real-space implementat ions of nonlocal pseudopotentials

Reference 13

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Observation b3364f9f-5de1-4c39-8f29-ac89c7aea03e · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 14

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation df626ca7-6f6b-4807-ab46-28fae411d52f · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 15

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unresolved
raw_fallback, observed 2026-08-14T14:52:29.178941Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 138c4a24-dc3e-4216-a34f-60b7ad45d2db · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 16

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unresolved
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4431f146-86d0-453b-b56b-25c0fe950583 · outbound

This paper cites Suitable coordinates for t he three-body problem in the adiabatic representation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Suitable coordinates for t he three-body problem in the adiabatic representation

Reference 17

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ddc9f5ac-f09f-4823-880b-5afa06f02375 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 18

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unresolved
raw_fallback, observed 2026-08-14T14:52:29.134167Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 828c3431-0802-45fe-8e9f-9042236459a5 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 19

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unresolved
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 968be7be-bdcb-47dd-97e1-2e3dd32da419 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 20

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unresolved
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2a8a80d4-ee4a-419d-a91e-eb212eec9963 · outbound

This paper cites Vanroose, B.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Vanroose, B

Reference 21

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 116c6083-b395-4396-bbfc-c31b11e3e938 · outbound

This paper cites Infinite-range exterior complex scalin g as a perfect absorber in time-dependent problems.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Infinite-range exterior complex scalin g as a perfect absorber in time-dependent problems

Reference 22

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verified fuzzy
raw_fallback, observed 2026-08-14T14:52:29.075863Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4178345d-ca9d-44ca-93bf-a93be9c5bbee · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:29.059239Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7afaf8a6-8e92-4006-882d-c931c6d109e4 · outbound

This paper cites Absorbing boundary conditions for time-de pendent schr¨ odinger equations: A density-matrix formulation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Absorbing boundary conditions for time-de pendent schr¨ odinger equations: A density-matrix formulation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:29.044035Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.028308Z digest=sha256:2ba3b5cf8238deb48b2f5c46f40ca2e3be84b55f6f1f0c149e8eb29e898f2447

Observation e656fd77-a1c3-476a-9896-323052689d34 · outbound

This paper cites A Review of artificial boundary conditions for the Schr¨ oding er equation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ A Review of artificial boundary conditions for the Schr¨ oding er equation

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:29.028092Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.032515Z digest=sha256:f9dc8ab992a1a1b6d0fca123cf486138f58a9b4584bb8f2449f5e2c9357efc01

Observation 078dac30-3a0d-4545-90c6-215f76a2c272 · outbound

This paper cites Artificial boundary method.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Artificial boundary method

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:29.012225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.036992Z digest=sha256:c76d9ac5a373d1ea5aded6b30f35a5d9e5762e6c1f6d451d3a69a8ae5b272db6

Observation b6a3a2f9-23d0-42a7-a6b9-3824052009fe · outbound

This paper cites An analysis of the finite-diffe rence method for one-dimensional Klein-Gordon equation on unbounded domain.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ An analysis of the finite-diffe rence method for one-dimensional Klein-Gordon equation on unbounded domain

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.997631Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.041721Z digest=sha256:2410b5d95df10298804bb3e4d3a29b15f05c5b477638305af761562b10e47d24

Observation ceb0daf8-3c79-4d37-b663-88ff874bbce7 · outbound

This paper cites Antoine and C.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Antoine and C

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.983202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.046239Z digest=sha256:0f967b18e3e0270061a4995fe9015fd5e016ae034c6e109e5ecd64f7cea4fdeb

Observation c2f601b7-b5d7-4074-9eea-da2a750fbb80 · outbound

This paper cites Weak Ill-Posed ness of Spatial Discretizations of Ab- sorbing Boundary Conditions for Schr¨ odinger-Type Equations.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Weak Ill-Posed ness of Spatial Discretizations of Ab- sorbing Boundary Conditions for Schr¨ odinger-Type Equations

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.968123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.050874Z digest=sha256:010043ae85e93f9e8d365a01e08473ebc06e69751c4fa30b89baec003e807fca

Observation 6040b139-71aa-4482-9f03-716b7614adae · outbound

This paper cites Alonso-Mallo and N.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Alonso-Mallo and N

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.952560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.056129Z digest=sha256:2b9dc1a8628509f830112fcfcd129eb77ccdc097dcf41afd403795a0fe68ae0f

Observation 86109b9e-cad3-4003-8881-c417f689d1fd · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.936793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.061191Z digest=sha256:32974f48d001cad329d23f45fe38275b30566606e101faa4e2de68deccc95487

Observation bd840253-5ba9-4e23-80e0-783f286879ae · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.922418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.066207Z digest=sha256:97bfa1dd06d74de8b34441a06e5ca21d33ac20ab101d336b47232618f9051e53

Observation 16e8d957-e9ae-4a4e-a289-ab83cd4801b2 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.908676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.070647Z digest=sha256:4310ea2fda94f4cfea0d14d2e814e6774b9ed8cb70c2971c3aaec586f3e91019

Observation b8b28018-271f-4e9b-9868-b65bbd9cc57c · outbound

This paper cites Di screte transparent boundary condi- tions for the Schr¨ odinger equation: fast calculation, app roximation, and stability.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Di screte transparent boundary condi- tions for the Schr¨ odinger equation: fast calculation, app roximation, and stability

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.894033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.075073Z digest=sha256:499285bbdb5aa5c58b9b55ba5c65be3a30581f2a9d697c3d9f1220dfe2a5ca5a

Observation 7badff2f-3206-406e-99ef-37fcf86910a4 · outbound

This paper cites Fast evaluation of nonre flecting boundary conditions for the Schr¨ odinger equation in one dimension.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Fast evaluation of nonre flecting boundary conditions for the Schr¨ odinger equation in one dimension

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.879640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.079503Z digest=sha256:810ee0225d3bfd3651936b72f911e4c0ab7453758c3f4aac33f103df6b6b6fde

Observation 5911b198-523b-4916-ab61-7b349a673c29 · outbound

This paper cites Absorbing Boundary Condi tions for the Schr¨ odinger Equa- tion.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Absorbing Boundary Condi tions for the Schr¨ odinger Equa- tion

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.864776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.083736Z digest=sha256:9c19ec33eee3959a60f0b07a4471269d43f909bba3c53c2e58fc20280b39bb6a

Observation 1b35ba4c-7da3-47ba-9147-c2e24ef11e5f · outbound

This paper cites Absorbing boundary conditions fo r the finite-difference time-domain calculation of the one-dimensional Schr¨ odinger equation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Absorbing boundary conditions fo r the finite-difference time-domain calculation of the one-dimensional Schr¨ odinger equation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.848243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.088462Z digest=sha256:6455e31dd8e4f05ef017575d20733873620e495c3bcd2f96aaecfc71d1617cab

Observation 65bb37f5-1574-4060-b0e0-1800922a4f3d · outbound

This paper cites Design of Absorbing Boundary Condi tions for Schr¨ odinger Equations in Rd.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Design of Absorbing Boundary Condi tions for Schr¨ odinger Equations in Rd

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.832993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.092731Z digest=sha256:23c551ab533c1187e4ad7925cf6da68ef8026307dd7f3a646f157954fb5154cb

Observation cb3efffe-c434-4d11-af3f-b5a2d9bbceea · outbound

This paper cites Absorbing boundary conditions for nonlinear Schr¨ odinger equa- tions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Absorbing boundary conditions for nonlinear Schr¨ odinger equa- tions

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.817796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.097141Z digest=sha256:baf477d379bfaf3cdac52300510f4b9b337d4e8b84abaf815f868d3444b9a7d5

Observation e56c3ee2-a9b5-4727-a840-6b346b19f68b · outbound

This paper cites Efficient represent ation of nonreflecting boundary con- ditions for the time-dependent Schr¨ odinger equation in tw o dimensions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Efficient represent ation of nonreflecting boundary con- ditions for the time-dependent Schr¨ odinger equation in tw o dimensions

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.801777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.101547Z digest=sha256:220db8574971a2a939305fb03226f5d8beecaa3d85d8ac5e1e2b8ea24ee66e6d

Observation bc2b79a0-87f9-4379-8fb5-195c6fa6e917 · outbound

This paper cites Numerical schemes for the simu- lation of the two-dimensional Schr¨ odinger equation using non-reflecting boundary conditions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Numerical schemes for the simu- lation of the two-dimensional Schr¨ odinger equation using non-reflecting boundary conditions

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.786647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.105840Z digest=sha256:8e525b4a5ecabdff20a8a0cce34be94764bdcb2f14f08ca2d085e9ddb9e65535

Observation 7ec30178-405b-47a9-affc-84996c43e9ff · outbound

This paper cites Nonreflecting boundary conditions for the time-dependent wave equation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Nonreflecting boundary conditions for the time-dependent wave equation

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.770942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.110183Z digest=sha256:70571c340a3718299ad7521b3b6770d2cfe3ec8d66d556fe413eaddede0bbfa1

Observation a843cf6b-e92f-4fbd-be17-027d3583393c · outbound

This paper cites Exact artificial boundary c onditions for the Schr¨ odinger equation in R2.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Exact artificial boundary c onditions for the Schr¨ odinger equation in R2

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.755575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.114783Z digest=sha256:11f586711c3e2cdbc050725d3fd41a6f27ad0bc4d6ea6a09d772568b660c7e1c

Observation 1b926f45-6791-468d-8462-03b3ebbffd24 · outbound

This paper cites Adaptive absorbin g boundary conditions for Schr¨ odinger-type equations: Application to nonlinear and multi-dimensional problems.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Adaptive absorbin g boundary conditions for Schr¨ odinger-type equations: Application to nonlinear and multi-dimensional problems

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.740541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.119154Z digest=sha256:972a9a43c40d875ff38a3054f40b324fe9fa87ca2b6d2dbe685367c27faf81cd

Observation e6f23465-1bef-4867-b296-4bc2420ab44e · outbound

This paper cites A perfectly matched layer for the absorption of electromagnetic waves.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ A perfectly matched layer for the absorption of electromagnetic waves

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.725376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.123975Z digest=sha256:2ebcf3c7247d96c228f2070185bd336ccec61c6dce41054bb19f17f2572ee000

Observation 4a8fd7c2-52fb-4372-a765-8b654de8b68c · outbound

This paper cites A perfectly matched layer approach to the nonlinear Schr¨ odinger wave equations.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ A perfectly matched layer approach to the nonlinear Schr¨ odinger wave equations

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.709462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.128197Z digest=sha256:c9f888261db4a6f5a67c3483ba08a639c0ee4968dc791833108cd0a1c62112db

Observation 9cf0cbb0-0541-4eab-a790-f4069d6d41d0 · outbound

This paper cites Radiation boundary condi tions for wave-like equations.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Radiation boundary condi tions for wave-like equations

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.694816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.132352Z digest=sha256:cdeb7c32f945b11ae01a11675293f40cb36c463fcd297e2106283f7462acb4d3

Observation c814adef-abbf-4d54-ae9c-3dba90e5fe17 · outbound

This paper cites Absorbing boundary conditions for diffe rence approximations to the mul- tidimensional wave equation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Absorbing boundary conditions for diffe rence approximations to the mul- tidimensional wave equation

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.679119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.136692Z digest=sha256:5b81149b974bbfd7292a2b028bb64c24047826db913fce6a431d54ffd94107d7

Observation 9814f7d8-fc12-4073-aac6-1f65b3a8fbd1 · outbound

This paper cites Artificial boundary conditions for one-dimensional cubic nonlinear Schr¨ odinger equations.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Artificial boundary conditions for one-dimensional cubic nonlinear Schr¨ odinger equations

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.663688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.140899Z digest=sha256:fdf1d5cfb783d998e4009fedc6bfc7d9da761eb9e0d4c82969eb312f8a0d98b1

Observation d2c29e61-2f5a-48ac-a114-9f053a3c5275 · outbound

This paper cites An atomistic-based boundary element metho d for the reduction of molecular statics models.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ An atomistic-based boundary element metho d for the reduction of molecular statics models

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.648434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.145220Z digest=sha256:6d7b2fd54aa7e9f90f248394ef9e88891d459fcbd4f4404ac43c1276e5a82523

Observation 9a5c8e4f-bcdb-4862-85b5-15a2a89dde7e · outbound

This paper cites Ellis, and P.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Ellis, and P

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.632373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.149624Z digest=sha256:8e2b3f250fde90457bd73e6761a2a8a8da6af47da80fb54d29443793ce257893

Observation e0fd065e-308b-47a7-a3d7-3892ffe4ca85 · outbound

This paper cites Time-dependent density functional theory , volume 706.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Time-dependent density functional theory , volume 706

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.615936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.154227Z digest=sha256:5fbf1e60a29226ec6a30cf882bf127783f89024f920bfbbd11165a3fce0ba66e

Observation 88e988b1-b0aa-41d7-ab19-d3fecb76a1db · outbound

This paper cites Implementation of transparent boundaries for numerical solution of the Schr¨ odinger equation.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Implementation of transparent boundaries for numerical solution of the Schr¨ odinger equation

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.600750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.159023Z digest=sha256:3130be2981278aaad249c07f7a4c174d7b7dcc9d8e08250215eb78c7e9ae08ce

Observation c54ceecc-c6d9-44ea-8ac0-6d6f400f14cc · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.585249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.163603Z digest=sha256:267efbb1a9e00c4b5dfa19b145b645fcddf796931b4fd988541e77fc6c30ef42

Observation c4d41bcf-eaee-43c3-aa61-98fc6a1de8bc · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.570323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.168245Z digest=sha256:f9876075baba7c74682b78125e3cd0ca2a29db6cd92d73e03de42bd10d3ed11d

Observation 18eea11d-194c-4129-844d-150bab5e5bce · outbound

This paper cites Higher-order adaptive finite-element methods for Kohn–Sha m density functional theory.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Higher-order adaptive finite-element methods for Kohn–Sha m density functional theory

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.555983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.172735Z digest=sha256:f60cad5434294851ff33e36bd0c3a40ee54945063f0f5ba62f756f70099858d5

Observation 2fd30e1c-ef87-41ce-94df-1513d6922e10 · outbound

This paper cites Real-space mesh techniques in density-f unctional theory.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Real-space mesh techniques in density-f unctional theory

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.539895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.177411Z digest=sha256:1074b5d1f5df91348995e44ce9f942da8fe2024da46d6d7b5639de68803d1dd5

Observation b657a6db-59e6-448b-ae25-0bff3615ec0d · outbound

This paper cites Quarteroni and A.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Quarteroni and A

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.525251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.182185Z digest=sha256:a77ba3d45e3a7122d1d61f05756413ebc6e686fd53980fa47c03b3098764b4c8

Observation 0396caff-468f-48c0-b689-088f024557c2 · outbound

This paper cites Meza, Jianfeng Lu, Lexing Yin g, and Weinan E.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Meza, Jianfeng Lu, Lexing Yin g, and Weinan E

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.509462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.187097Z digest=sha256:3fa701698655579b025ab190b5b1964789a7eae509b396fb7295ddd2bf8e906b

Observation 86a473ea-397e-4dbd-8c22-13cd119cb3ea · outbound

This paper cites Krylov subspace techniques for reduced-o rder modeling of large-scale dynamical systems.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Krylov subspace techniques for reduced-o rder modeling of large-scale dynamical systems

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.495654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.191492Z digest=sha256:cf4370888f653d0200bea7b21ed6b8d99a179e46ad8b5fcd951028d6c2cb2178

Observation c27c446c-7594-4557-9327-d5333397172f · outbound

This paper cites A sur vey of projection-based model reduction methods for parametric dynamical systems.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ A sur vey of projection-based model reduction methods for parametric dynamical systems

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.480359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.196124Z digest=sha256:71d3bbd391aa91c33024e72f34d3b8ec28a694ae2746a74a3550b5b3f7f788c5

Observation 077868c2-ae13-4bd4-95f2-29659776255d · outbound

This paper cites Pad´ e approximants, volume 59.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Pad´ e approximants, volume 59

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.465599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.200392Z digest=sha256:863bcc5e69d36131a8bc199745e39b6642ac990927a2d4d74db3af9660319385

Observation 9eb1e382-0d46-482e-9525-f06f3b8ab654 · outbound

This paper cites On the stability of boundary conditions for molecular dynamics.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ On the stability of boundary conditions for molecular dynamics

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.450227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.204888Z digest=sha256:a2485333857e1275400b86ae42489c7dd26b878f25d5d7340ab86d5d700f6c80

Observation b2f925f7-e374-4af3-95b1-0e98effb44ad · outbound

This paper cites Hartree-Fock calcula tions : Application to 16O + 16O collisions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Hartree-Fock calcula tions : Application to 16O + 16O collisions

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.433780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.209640Z digest=sha256:14725dd5a4eaa336168bb8835f5bc49b1f72e15c23d22a63cdd5c1590e106ecd

Observation 1ef073ea-c2c6-4cf1-821d-4a115c032b8d · outbound

This paper cites Pro pagators for the time-dependent Kohn–Sham equations.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Pro pagators for the time-dependent Kohn–Sham equations

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.417681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.214215Z digest=sha256:0c33bdfe7a95154d7b062ff6ec95c4f774a8266bf6b59b41b1f963e26265626e

Observation 067afd92-bc79-4021-a97e-5de1859004fa · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.402435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.218548Z digest=sha256:831c57fcc9b90108eacb041893486dda7b83ae0d422f8957a5c83c7ce598aa28

Observation 8ec6f8b2-a3e7-4a6f-a3c8-90c8b665e8a0 · outbound

This paper cites Stable absorbing boundary co nditions for molecular dynamics in general domains.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Stable absorbing boundary co nditions for molecular dynamics in general domains

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.387588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.222944Z digest=sha256:b223df77b32437c5cdbd6f47f1f583b84e1dbfc74859e992e903a13c83938b81

Observation 5dcf1d83-342f-42a6-8a49-d98970257c18 · outbound

This paper cites an unresolved cited work.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:52:28.371671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.227360Z digest=sha256:4a77f39f8727491e94682cedba79dc0e540d32d4b02146b0153d335934134468

Observation ec817889-f7ae-44dc-a311-30946eb8c727 · outbound

This paper cites Time-depe ndent Hartree-Fock calculations for 14N + 12C reactions.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Time-depe ndent Hartree-Fock calculations for 14N + 12C reactions

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.353601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.231968Z digest=sha256:8edb7d59ed887ef20d70f3ee7cf85e056086e165be392a5fd1dbd3ba6fe061fe

Observation b5e66964-66f4-472f-ad6b-1c479d13177c · outbound

This paper cites Variational boundary conditio ns for molecular dynamics simulations of solids at low temperature.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Variational boundary conditio ns for molecular dynamics simulations of solids at low temperature

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.336746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.236523Z digest=sha256:1d6d0b63e759b7066c574daff975f5d5e52925d3d9d15de5af3b2b71e59259b6

Observation 56a87e34-eefe-4459-a68e-76f4771c95a5 · outbound

This paper cites An interpolation-based approach to the weighted- H2 model reduction problem.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ An interpolation-based approach to the weighted- H2 model reduction problem

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.321163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.240917Z digest=sha256:a2d57a633f75f9a4387fb203fa4b2043464c5276e1cb1dfcb9e16d246125c1dc

Observation 8649b339-7236-433b-8750-f3e482201ab8 · outbound

This paper cites Gugercin, A.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Gugercin, A

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.305440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.245208Z digest=sha256:5f07a5425973983dfc10cb96f4756862d06559fa8b1d9b0af02fbf5440fbfd74

Observation 50138d36-de7d-49a5-bc62-b8c93b2fed9a · outbound

This paper cites Fast calculati on of energy and mass preserving solutions of Schr¨ odinger–Poisson systems on unbounded do mains.

Absorbing boundary conditions for the time-dependent Schr\"odinger-type equations in $\mathbb R^3$ Fast calculati on of energy and mass preserving solutions of Schr¨ odinger–Poisson systems on unbounded do mains

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:52:28.289804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:52:28.249596Z digest=sha256:59a3b811ed316be5f4641d29f466150f4dac271ec4f923a5bf1511317ee6c3cb

Pith citing papers

No inbound Pith citation observations are available.