Paper Citation Record · LEDGER

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation

As of 12 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2505.18321.

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pith.paper-citation-record.v1
2505.18321 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T14:51:01.899364Z

measured 35 of 35 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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verified fuzzy26
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Outbound references

Observation 2a7dc12a-d943-4ef6-8f37-dc68a9d36e9d · outbound

This paper cites Unified analy- sis of discontinuous galerkin methods for elliptic problems.SIAM journal on numerical analysis, 39(5):1749–1779, 2002.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Unified analy- sis of discontinuous galerkin methods for elliptic problems.SIAM journal on numerical analysis, 39(5):1749–1779, 2002

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:07.634506Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08f5a607-4372-4f53-b7c8-e32436a52971 · outbound

This paper cites an unresolved cited work.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:51:07.477902Z

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Observation 292ebbf4-aed4-4aec-aa06-4dec72978fab · outbound

This paper cites The relativistic kinetic equation.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation The relativistic kinetic equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:07.233879Z

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Observation b845126d-48fe-4b3a-b5a4-c9a7695a9ae7 · outbound

This paper cites Boltzmann’s equation for electron gas in which collisions are infrequent.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Boltzmann’s equation for electron gas in which collisions are infrequent

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:07.020950Z

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Observation cad87940-d13e-49c6-afd0-a60c864f6fa8 · outbound

This paper cites Fast algorithms for numerical, conservative, and entropy approximations of the fokker–planck–landau equation.Journal of Com- putational Physics, 133(2):310–322, 1997.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Fast algorithms for numerical, conservative, and entropy approximations of the fokker–planck–landau equation.Journal of Com- putational Physics, 133(2):310–322, 1997

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:06.810524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea9186d5-8926-4715-b874-ef88bd50c208 · outbound

This paper cites A particle method for the homogeneous landau equation.Journal of Computational Physics: X, 7:100066, 2020.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A particle method for the homogeneous landau equation.Journal of Computational Physics: X, 7:100066, 2020

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:50:59.276431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd3f40a6-543a-4d9e-8f0f-894ad1bd5b2b · outbound

This paper cites An a priori error analysis of the local discontinuous galerkin method for elliptic problems.SIAM Journal on Numerical Analysis, 38(5):1676–1706, 2000.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation An a priori error analysis of the local discontinuous galerkin method for elliptic problems.SIAM Journal on Numerical Analysis, 38(5):1676–1706, 2000

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:06.582252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dd366960-bce7-4272-a718-0a5e7a250206 · outbound

This paper cites Some extensions of the local discontinuous galerkin method for convection-diffusion equations in multidimensions.Mathematics of Finite Elements and Appli- cations, 10:225–238, 1999.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Some extensions of the local discontinuous galerkin method for convection-diffusion equations in multidimensions.Mathematics of Finite Elements and Appli- cations, 10:225–238, 1999

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:06.344889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c95808ac-377b-4988-b9bc-357dd59b683c · outbound

This paper cites Superconvergence of the local discontinuous galerkin method for elliptic problems on cartesian grids.SIAM Journal on Numerical Analysis, 39(1):264–285, 2001.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Superconvergence of the local discontinuous galerkin method for elliptic problems on cartesian grids.SIAM Journal on Numerical Analysis, 39(1):264–285, 2001

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:06.153762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a3305f13-7c5b-4466-89e7-a8b2b2f19de0 · outbound

This paper cites The local discontinuous galerkin method for time-dependent convection-diffusion systems.SIAM journal on numerical analysis, 35(6):2440–2463, 1998.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation The local discontinuous galerkin method for time-dependent convection-diffusion systems.SIAM journal on numerical analysis, 35(6):2440–2463, 1998

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:05.959604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8700c279-2f91-46b3-ad5d-45d4a2fab9f3 · outbound

This paper cites Runge–kutta discontinuous galerkin methods for convection- dominated problems.Journal of scientific computing, 16:173–261, 2001.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Runge–kutta discontinuous galerkin methods for convection- dominated problems.Journal of scientific computing, 16:173–261, 2001

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:05.691766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38c8c76e-6f45-4f38-91f4-5ddfad9aa085 · outbound

This paper cites A fully implicit, scalable, conservative nonlinear relativistic fokker–planck 0d-2p solver for runaway electrons.Computer Physics Communications, 254:107361, 2020.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A fully implicit, scalable, conservative nonlinear relativistic fokker–planck 0d-2p solver for runaway electrons.Computer Physics Communications, 254:107361, 2020

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:05.516719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d8c2b647-a3e1-448a-ac61-cafb4e619dfe · outbound

This paper cites An entropy scheme for the fokker-planck collision operator of plasma kinetic theory.Numerische Mathematik, 68(2):239–262, 1994.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation An entropy scheme for the fokker-planck collision operator of plasma kinetic theory.Numerische Mathematik, 68(2):239–262, 1994

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:05.288759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9134fb58-216f-4ad0-9509-544175258c66 · outbound

This paper cites Numerical methods for plasma physics in collisional regimes.Journal of Plasma Physics, 81(1):305810106, 2015.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Numerical methods for plasma physics in collisional regimes.Journal of Plasma Physics, 81(1):305810106, 2015

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:05.116306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8ae89397-f846-4d88-9576-a6b25518cbf7 · outbound

This paper cites Numerical methods for kinetic equations.Acta Numerica, 23:369–520, 2014.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Numerical methods for kinetic equations.Acta Numerica, 23:369–520, 2014

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:04.895505Z

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Observation 59f2fb1d-be67-4a22-94be-c05a7b8970fb · outbound

This paper cites Model fokker-planck equation for a plasma and its solution.The Physics of Fluids, 7(11):1788–1799, 1964.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Model fokker-planck equation for a plasma and its solution.The Physics of Fluids, 7(11):1788–1799, 1964

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:04.674101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3f05d8a0-62e3-4725-ad8c-d4cd88dc1de9 · outbound

This paper cites Electron and ion runaway in a fully ionized gas.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Electron and ion runaway in a fully ionized gas

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:04.415601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d75c5bb7-22a2-4491-b533-50e5b251e541 · outbound

This paper cites The Landau equation does not blow up.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation The Landau equation does not blow up

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:51:00.549795Z

Source-reported events for the cited work

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Observation 5a40fc39-5c9a-467f-86d2-6d1f39db9690 · outbound

This paper cites Collisional transport in plasma.Handbook of Plasma Physics, 1(147):331, 1983.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Collisional transport in plasma.Handbook of Plasma Physics, 1(147):331, 1983

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:04.229155Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 217fc3d1-9f6c-4a12-be21-002bdda245e4 · outbound

This paper cites Conservative finite-element method for the relativistic Coulomb collision operator.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Conservative finite-element method for the relativistic Coulomb collision operator

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:51:02.346333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 00651fd0-7c17-4a5a-abe6-ec624649928b · outbound

This paper cites Conservative discretization of the landau collision integral.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Conservative discretization of the landau collision integral

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:04.037281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 130eb996-5c00-4dcd-9781-31f8b61c5655 · outbound

This paper cites A conservative galerkin solver for the quasilinear diffusion model in magnetized plasmas.Journal of Computational Physics, 488:112220, 2023.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A conservative galerkin solver for the quasilinear diffusion model in magnetized plasmas.Journal of Computational Physics, 488:112220, 2023

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.904054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86a5e43c-111b-49cc-a4d9-3b9923b8c8ee · outbound

This paper cites Nonlinear fokker- planck collision operator in rosenbluth form for gyrokinetic simulations using discontinuous galerkin method.Computer Physics Communications, 279:108459, 2022.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Nonlinear fokker- planck collision operator in rosenbluth form for gyrokinetic simulations using discontinuous galerkin method.Computer Physics Communications, 279:108459, 2022

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.730472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 49443d5e-56a7-4977-acbf-6b0194ac3e0c · outbound

This paper cites Pergamon Press, 1981.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Pergamon Press, 1981

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.620556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 846c1d6c-0773-49f1-84ae-b3fef6c4580c · outbound

This paper cites Decay of entropy from a conservative spectral method for fokker-planck-landau type equations.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Decay of entropy from a conservative spectral method for fokker-planck-landau type equations

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.485003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b9f2d4bc-8e9d-4a42-963b-679192fc40b1 · outbound

This paper cites Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:51:02.228023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4937a45-7c1f-478f-b243-3ad32b60da14 · outbound

This paper cites Convergence and Error Estimates for the Conservative Spectral Method for Fokker-Planck-Landau Equations.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Convergence and Error Estimates for the Conservative Spectral Method for Fokker-Planck-Landau Equations

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:51:02.089323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3fb06644-8f09-4ebb-80f0-469279bef68c · outbound

This paper cites A mass-energy- conserving discontinuous galerkin scheme for the isotropic multispecies rosenbluth–fokker–planck equation.Journal of Computational Physics, 449:110813, 2022.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A mass-energy- conserving discontinuous galerkin scheme for the isotropic multispecies rosenbluth–fokker–planck equation.Journal of Computational Physics, 449:110813, 2022

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.321544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b6c5ed9-d1ca-4fab-97f0-9e6918e6882e · outbound

This paper cites Structure-preserving strategy for conservative simulation of the relativistic nonlinear landau-fokker-planck equation.Physical Review E, 99(5):053309, 2019.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Structure-preserving strategy for conservative simulation of the relativistic nonlinear landau-fokker-planck equation.Physical Review E, 99(5):053309, 2019

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T14:51:01.475856Z

Source-reported events for the cited work

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Observation 8861e464-d898-4dc5-b2bb-7f65b24b617e · outbound

This paper cites Entropy dissipation estimates for the relativistic landau equa- tion, and applications.Journal of Functional Analysis, 277(4):1139–1201, 2019.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Entropy dissipation estimates for the relativistic landau equa- tion, and applications.Journal of Functional Analysis, 277(4):1139–1201, 2019

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.168002Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e184f51c-35e5-419f-b255-5aafa601e280 · outbound

This paper cites Variational crimes in the finite element method.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Variational crimes in the finite element method

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:03.036677Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 77bbd5a6-eabd-4afb-9388-134577a9d569 · outbound

This paper cites an unresolved cited work.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:51:02.870349Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b6dd9b45-8142-4607-9dcc-a92b812daf7d · outbound

This paper cites Springer Berlin Heidelberg New York, 1996.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation Springer Berlin Heidelberg New York, 1996

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T14:51:01.742280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fde4845a-e85f-43b0-9de7-bf9e318d76fe · outbound

This paper cites A conservative scheme for vlasov poisson landau modeling collisional plasmas.Journal of Computational Physics, 340:470–497, 2017.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A conservative scheme for vlasov poisson landau modeling collisional plasmas.Journal of Computational Physics, 340:470–497, 2017

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:02.675225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation df42d937-70e8-44ca-acfd-7a2eca2efe8b · outbound

This paper cites A conservative discontinuous galerkin solver for the space homogeneous boltzmann equation for binary interactions.SIAM Journal on Numerical Analysis, 56(5):3040–3070, 2018.

A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation A conservative discontinuous galerkin solver for the space homogeneous boltzmann equation for binary interactions.SIAM Journal on Numerical Analysis, 56(5):3040–3070, 2018

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:51:02.506491Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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