Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T04:27:36.221874Z
Paper Citation Record · LEDGER
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations
As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.10820.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
- verified exact2
- verified fuzzy28
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b8b3efe4-51ce-40e4-bf6e-a7722763f6d8 · outbound
This paper cites 50 years of time parallel time integration,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations 50 years of time parallel time integration,
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.861348Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 643f45cf-943a-4b3d-81f1-bacf80c673c3 · outbound
This paper cites Applications of time parallelization,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Applications of time parallelization,
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.844668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03baf5de-22f0-4cbb-a6ad-2fc550169e39 · outbound
This paper cites A parareal in time discretization of PDEs,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A parareal in time discretization of PDEs,
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.826098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 48f33335-e18d-4d71-86e7-5d6de5f62186 · outbound
This paper cites Stable parareal in time method for first- and second- order hyperbolic systems,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Stable parareal in time method for first- and second- order hyperbolic systems,
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.810081Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 118d7e39-f4c1-4fb7-9576-e61d43eb3d29 · outbound
This paper cites A hybrid parareal spectral deferred corrections method,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A hybrid parareal spectral deferred corrections method,
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.792991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b69fb26-3faa-40f2-8eae-f4e8391e3d25 · outbound
This paper cites On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.775492Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8d9c9a75-8869-4e3a-9378-c8325c1c3beb · outbound
This paper cites Stability of the Parareal Algorithm,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Stability of the Parareal Algorithm,
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.758237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43a47aed-cffa-4c2f-8ae5-64f6032cb6cf · outbound
This paper cites Toward parallel coarse grid correction for parareal algorithm,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Toward parallel coarse grid correction for parareal algorithm,
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.739035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b7825025-d034-4d3b-9cba-4fc2f23df113 · outbound
This paper cites A nonlinear paraexp algorithm.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A nonlinear paraexp algorithm
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.723035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 162ed467-a54e-435f-b027-f87fc0934176 · outbound
This paper cites Optimal Schwarz waveform relax- ation for the one-dimensional wave equation,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Optimal Schwarz waveform relax- ation for the one-dimensional wave equation,
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.707048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fed1a40b-2414-434b-b5d8-b8a8978c2c01 · outbound
This paper cites The parareal in time iterative solver: A further direction to parallel implementation,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations The parareal in time iterative solver: A further direction to parallel implementation,
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.686947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c07902b5-33e3-40c1-8d97-6cacd3f783fa · outbound
This paper cites Time spectral method for periodic and quasi-periodic unsteady computations on unstructured meshes,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Time spectral method for periodic and quasi-periodic unsteady computations on unstructured meshes,
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.668138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ae68d16-a000-4f92-8d79-4151eab563a3 · outbound
This paper cites Towards ef- ficient parallel-in-time simulation of periodic flows,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Towards ef- ficient parallel-in-time simulation of periodic flows,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.647115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4e276600-2ea5-4e6d-8d81-bfe71547b763 · outbound
This paper cites Parabolic multigrid methods,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Parabolic multigrid methods,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.483221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 522477bf-f206-492f-a7df-a93e3dd184d1 · outbound
This paper cites Analysis of a new space-time parallel multigrid algorithm for parabolic problems,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Analysis of a new space-time parallel multigrid algorithm for parabolic problems,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.298859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8d21204d-3ff6-42bd-84a6-d7a294fd439d · outbound
This paper cites Parallelization in time through tensor- product space–time solvers,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Parallelization in time through tensor- product space–time solvers,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:39.048442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 755051ee-d6eb-4349-b31b-167a85bb2db6 · outbound
This paper cites Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equa- tions,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equa- tions,
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:38.861720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 403805bd-4d01-46e5-9132-a863bb412c75 · outbound
This paper cites Time parallelization for nonlinear problems based on diagonalization,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Time parallelization for nonlinear problems based on diagonalization,
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:38.641409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8831922b-cc5e-457b-a60a-b9f0de03be86 · outbound
This paper cites Space-Time Methods: Fast Solvers and Applications,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Space-Time Methods: Fast Solvers and Applications,
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:38.460528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9ec8f581-645a-48d3-a51b-69ed57c6d665 · outbound
This paper cites Multigrid methods with space–time concurrency,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Multigrid methods with space–time concurrency,
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:38.238871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f3578af0-d0a9-445d-af8e-f76d4fd90bd3 · outbound
This paper cites Analysis of the parareal time-parallel time- integration method,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Analysis of the parareal time-parallel time- integration method,
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:38.051025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6f100bd0-84b0-4990-8a2f-2e64b339da73 · outbound
This paper cites Convergence analysis of the Parareal-Euler algorithm for sys- tems of ODEs with complex eigenvalues,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Convergence analysis of the Parareal-Euler algorithm for sys- tems of ODEs with complex eigenvalues,
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.879369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f360dcc-1875-476b-b095-4e8bccdf403f · outbound
This paper cites A space-time multigrid method for parabolic partial differential equations,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A space-time multigrid method for parabolic partial differential equations,
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.736961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cf2df5d4-ba7c-41c7-9011-459c02de6cc6 · outbound
This paper cites Parallel time integration with multigrid,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Parallel time integration with multigrid,
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.593126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d31711ed-80c8-4ca4-95a6-f07f7e278c6a · outbound
This paper cites ParaDiag: parallel-in-time algorithms based on the diagonalization technique.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations ParaDiag: parallel-in-time algorithms based on the diagonalization technique
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T04:27:35.653166Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1112b05-f804-4578-b437-69575bf91de4 · outbound
This paper cites Towards developing robust algorithms for solv- ing partial differential equations on MIMD machines,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Towards developing robust algorithms for solv- ing partial differential equations on MIMD machines,
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.421227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7593099c-29a9-4540-941a-2d6933755473 · outbound
This paper cites A time-stepping algorithm for parallel computers,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A time-stepping algorithm for parallel computers,
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.271899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 294091a2-12aa-4360-bfe2-71e58b9faf88 · outbound
This paper cites A rigorous analysis of time domain parallelism,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A rigorous analysis of time domain parallelism,
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:37.086309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 792e7598-05bd-48f6-9fb2-73392535c771 · outbound
This paper cites A New Parallel-in-time Direct Inverse Method for Nonlinear Differential Equations.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations A New Parallel-in-time Direct Inverse Method for Nonlinear Differential Equations
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T04:27:36.726974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3927dafd-7e9d-4f5b-9dc4-1bb65cb8a311 · outbound
This paper cites Convergence of Parareal with spatial coarsening,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Convergence of Parareal with spatial coarsening,
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T04:27:36.920745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 257fded3-a3bc-4dca-81c5-a91ce88d29e9 · outbound
This paper cites Impact of spatial coarsening on Parareal convergence,.
A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations Impact of spatial coarsening on Parareal convergence,
Reference 31
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T04:27:36.594352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.