Paper Citation Record · LEDGER

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications

As of 9 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.15086.

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

pith.paper-citation-record.v1
2607.15086 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:19:07.808710Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

29 of 29 outbound references displayed

verified exact2
verified fuzzy0
unresolved20
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a77e90c-7091-4f8d-b518-e526e1486f6c · outbound

This paper cites Fisher information and shape-morphing modes for solving the Fokker-Planck equation in higher dimensions.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Fisher information and shape-morphing modes for solving the Fokker-Planck equation in higher dimensions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.136626Z

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Unavailable: canonical work link unavailable.

Observation 1911a6f2-27b2-4397-9287-c94a7293e6a9 · outbound

This paper cites Stable Nonlinear Dynamical Approximation with Dynamical Sampling.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Stable Nonlinear Dynamical Approximation with Dynamical Sampling

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.238060Z

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Observation d36add45-2e51-4a0d-bfb7-ddad1365bd17 · outbound

This paper cites Neural Galerkin schemes with active learning for high-dimensional evolution equations.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Neural Galerkin schemes with active learning for high-dimensional evolution equations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.369648Z

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Observation f6c08054-966b-4c6e-8bbd-f3a1f7f42334 · outbound

This paper cites Sparse quadrature for high-dimensional integration with Gaussian measure.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Sparse quadrature for high-dimensional integration with Gaussian measure

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.543221Z

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Observation ebab25c9-943d-459d-864b-6d4c367780b9 · outbound

This paper cites Sharp error bounds for the trapezoidal rule and Simpson’s rule.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Sharp error bounds for the trapezoidal rule and Simpson’s rule

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.756160Z

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Observation bdb5f904-5f47-439c-8360-f8cfcdeb7bca · outbound

This paper cites Fast training of accurate physics-informed neural networks without gradient descent.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Fast training of accurate physics-informed neural networks without gradient descent

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:04.925450Z

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Observation fa1e8c12-ed96-41d8-b31d-fb6d7d1baa5a · outbound

This paper cites Davis and Philip Rabinowitz.Methods of numerical integration.English.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Davis and Philip Rabinowitz.Methods of numerical integration.English

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:05.087087Z

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Observation 46455c96-39b2-4354-a5cd-c04892d236e1 · outbound

This paper cites an unresolved cited work.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:05.203785Z

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Observation c23c83d9-b5cc-4ba8-8a74-cc7624d03eab · outbound

This paper cites to appear at Num.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications to appear at Num

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:05.323564Z

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Observation 27662caf-077b-4143-b4c0-da757308db5e · outbound

This paper cites Folland.Harmonic analysis in phase space.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Folland.Harmonic analysis in phase space

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:05.473955Z

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Observation e10c060f-126f-4c0f-83af-aaf29ee599ec · outbound

This paper cites Real time evolution with neural-network quantum states.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Real time evolution with neural-network quantum states

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:05.635219Z

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Observation 8d48cb30-fb7b-44cd-8cd0-da021221be43 · outbound

This paper cites Raising and lowering operators for semiclassical wave packets.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Raising and lowering operators for semiclassical wave packets

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:05.764143Z

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Observation b15751ef-039f-4f80-9566-7d8a70b657cd · outbound

This paper cites Time dependent variational approach to semiclassical dynamics.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Time dependent variational approach to semiclassical dynamics

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:05.859982Z

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Observation d1652ddc-b885-4530-8961-7c2a1150ecef · outbound

This paper cites Variational Approach for Linearly Dependent Moving Bases in Quan- tum Dynamics: Application to Gaussian Functions.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Variational Approach for Linearly Dependent Moving Bases in Quan- tum Dynamics: Application to Gaussian Functions

Reference 14

Resolution: verified exact; doi, observed 2026-08-02T00:24:21.966897Z

Source-reported events for the cited work

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Observation 664269e0-f58f-4043-9f1f-936911778818 · outbound

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Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:06.136512Z

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Observation 0c6ec517-31d1-40c3-8436-c94482ff283e · outbound

This paper cites The matrix singularity problem in the time-dependent variational method.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications The matrix singularity problem in the time-dependent variational method

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:06.286149Z

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Observation bea0241f-9e5a-4357-af43-e779adb59f47 · outbound

This paper cites No need for a grid: Adaptive fully-flexible gaussians for the time-dependent Schr\"odinger equation.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications No need for a grid: Adaptive fully-flexible gaussians for the time-dependent Schr\"odinger equation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:06.438288Z

Source-reported events for the cited work

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Observation 9160b668-d94f-4d40-b18f-b249ef3854de · outbound

This paper cites Computing quantum dynamics in the semiclassical regime.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Computing quantum dynamics in the semiclassical regime

Reference 18

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:06.584444Z

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Observation c19951a0-0cb0-4e9c-8a12-b4eb1c588f02 · outbound

This paper cites Various variational approximations of quantum dynam- ics.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Various variational approximations of quantum dynam- ics

Reference 19

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:06.730924Z

Source-reported events for the cited work

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Observation 3f3cad4b-2ace-4992-9efc-fd4005f45ccb · outbound

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Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Unresolved cited work

Reference 20

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:06.881937Z

Source-reported events for the cited work

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Observation d421f1da-8b87-4d32-8501-892aead9fe07 · outbound

This paper cites On variational approximations in quantum molecular dynamics.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications On variational approximations in quantum molecular dynamics

Reference 21

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Observation 8005cd5e-c3b7-420a-b183-a7cf5d739e8c · outbound

This paper cites Regularized dynamical parametric approximation of stiff evolution problems.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Regularized dynamical parametric approximation of stiff evolution problems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.146954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c79cd67-dfcd-4612-92a9-be26441c6032 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial dif- ferential equations.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial dif- ferential equations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.258282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fb4be0c-627a-4b3f-9f36-333f09387984 · outbound

This paper cites Quantum dynamics simulations using Gaussian wavepackets: the vMCG method.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Quantum dynamics simulations using Gaussian wavepackets: the vMCG method

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.380797Z

Source-reported events for the cited work

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Observation 5d96ac10-6fdf-4603-9ceb-efa9df4c0288 · outbound

This paper cites Simulation of a hydrogen atom in a laser field using the time-dependent variational principle.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Simulation of a hydrogen atom in a laser field using the time-dependent variational principle

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-02T00:19:07.500806Z

Source-reported events for the cited work

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Observation dab0d994-a9a1-4fe6-8177-087b5f15d101 · outbound

This paper cites Rothe's Method for Quantum Dynamics in Atoms and Molecules with Gaussian Wavepackets.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Rothe's Method for Quantum Dynamics in Atoms and Molecules with Gaussian Wavepackets

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.630392Z

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Observation 8efc08fa-0ee0-45ba-abe2-099d404f9167 · outbound

This paper cites Time evolution as an optimization problem: The hydrogen atom in strong laser fields in a basis of time-dependent Gaussian wave packets.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Time evolution as an optimization problem: The hydrogen atom in strong laser fields in a basis of time-dependent Gaussian wave packets

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.696044Z

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Observation 8493792e-9969-4677-9eb9-0ad1c97337ef · outbound

This paper cites On Hagedorn wavepackets associated with different Gaussians.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications On Hagedorn wavepackets associated with different Gaussians

Reference 28

Resolution: verified exact; doi, observed 2026-08-02T00:24:21.874052Z

Source-reported events for the cited work

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Observation fde3d496-4d2d-4c6b-bb59-406fb3ae45f0 · outbound

This paper cites Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations.

Residual-Based Time Discretization on Nonlinear Approximation Manifolds: Analysis and Gaussian Applications Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T00:19:07.808710Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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