Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:43:58.350592Z
Paper Citation Record · LEDGER
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation
As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.21424.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-16T21:39:57.247741Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T21:41:17.597586Z
Reference resolution
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy19
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 455b315e-51b8-45cf-964f-e1eb484303f2 · outbound
This paper cites Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations.Applied Numerical Mathematics, 25(2):151–167, 1997.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations.Applied Numerical Mathematics, 25(2):151–167, 1997
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:05.015237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9d69f0a4-946a-41f5-83a6-8e9cd725e5a4 · outbound
This paper cites Perfectly matched layers methods for mixed hyperbolic–dispersive equations.Water Waves, 4(3):313–343, 2022.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Perfectly matched layers methods for mixed hyperbolic–dispersive equations.Water Waves, 4(3):313–343, 2022
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:04.811388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0aebbebe-5308-4e83-8cbe-d171a312f0e6 · outbound
This paper cites Multiple-relaxation Runge-Kutta methods for conservative dynamical systems.Journal of Scientific Computing, 97(1):4, 2023.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Multiple-relaxation Runge-Kutta methods for conservative dynamical systems.Journal of Scientific Computing, 97(1):4, 2023
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:04.639990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 656fc0f3-4684-4182-86e6-fc33cbd9443a · outbound
This paper cites Accurate solution of the nonlinear Schr¨ odinger equa- tion via conservative multiple-relaxation ImEx methods.SIAM Journal on Scientific Computing, 46(6):A3827–A3848, 2024.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Accurate solution of the nonlinear Schr¨ odinger equa- tion via conservative multiple-relaxation ImEx methods.SIAM Journal on Scientific Computing, 46(6):A3827–A3848, 2024
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:04.212128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55ac172e-85d8-4359-8731-8583b1247ac7 · outbound
This paper cites Ketcheson, Hendrik Ranocha, and Jochen Sch¨ utz.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Ketcheson, Hendrik Ranocha, and Jochen Sch¨ utz
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:03.780807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 51a80608-7870-4469-8b82-d0208dce798e · outbound
This paper cites SIAM, 2024.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation SIAM, 2024
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:03.346057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3255f4ca-91b0-424b-a1ec-0496d1146986 · outbound
This paper cites Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review.SeMA, 81(3):3–49, 2024.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review.SeMA, 81(3):3–49, 2024
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:02.944470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 85da9c6b-1a69-4024-97b4-759dcc3588e4 · outbound
This paper cites Hyperbolic model for free surface shallow water flows with effects of dispersion, vorticity and topography.Computers & Fluids, 189:13–23, 2019.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Hyperbolic model for free surface shallow water flows with effects of dispersion, vorticity and topography.Computers & Fluids, 189:13–23, 2019
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:02.558184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55d17d15-9082-4421-bd9f-7cd1891b881d · outbound
This paper cites Extended Lagrangian approach for the defocusing nonlinear Schr¨ odinger equation.Studies in Applied Mathematics, 142(3):336–358, 2019.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Extended Lagrangian approach for the defocusing nonlinear Schr¨ odinger equation.Studies in Applied Mathematics, 142(3):336–358, 2019
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:02.158945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2b627df3-7acc-421a-93ba-f50d036a166b · outbound
This paper cites The numerical integration of relative equilibrium solu- tions.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation The numerical integration of relative equilibrium solu- tions
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:01.761398Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c60a4fd7-28ca-4afd-b34d-5814dc62e489 · outbound
This paper cites Hyperbolic approximation of the BBM equation.Nonlin- earity, 35(3):1447, 2022.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Hyperbolic approximation of the BBM equation.Nonlin- earity, 35(3):1447, 2022
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:01.412225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 918cfd45-3f37-4d2b-92c4-0032f29cb799 · outbound
This paper cites Asymptotic-preserving (AP) schemes for multiscale kinetic equations: A unified approach.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Asymptotic-preserving (AP) schemes for multiscale kinetic equations: A unified approach
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:01.218999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d8d72b79-1694-4e3a-9e55-61b89c1a2bec · outbound
This paper cites an unresolved cited work.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:44:00.970245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 53d251c2-6795-4a38-9580-88b29435b2fe · outbound
This paper cites Ketcheson.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Ketcheson
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:00.767599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b705c6e4-ba8d-43a9-8d49-c0188020fe2f · outbound
This paper cites Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation.Nonlinearity, 38(5):055002, 2025.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation.Nonlinearity, 38(5):055002, 2025
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:44:00.538862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d6263303-10bb-4f8e-8a43-f30eb6448d92 · outbound
This paper cites an unresolved cited work.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:44:00.207980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6fa5981a-6eda-4792-8173-4f3e4e212b6e · outbound
This paper cites A first-order hyperbolic system approach for dispersion.J.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation A first-order hyperbolic system approach for dispersion.J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:43:59.947912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6f6a1cb2-3fa4-46d2-8318-3622feaa05b2 · outbound
This paper cites Ketcheson.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Ketcheson
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:43:59.593142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 54c90338-4e39-4a09-863b-c7484effbc6f · outbound
This paper cites Ketcheson.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Ketcheson
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:43:59.300086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7a4c78a2-3030-471b-98ad-f6f4ce57d6a9 · outbound
This paper cites Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations.SIAM Journal on Scientific Computing, 36(5):A2423–A2457, 2014.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation Advection-diffusion-reaction equations: hyperbolization and high-order ADER discretizations.SIAM Journal on Scientific Computing, 36(5):A2423–A2457, 2014
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:43:59.032385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation daf6a69b-2044-47c7-aecd-6f382d9e254e · outbound
This paper cites SIAM, 2010.
A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation SIAM, 2010
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:43:58.649455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation 9c834279-78f6-4d2f-a471-46ad42541820 · inbound
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations cites this paper.
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T21:41:17.599652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.