Paper Citation Record · LEDGER

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2608.04283.

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pith.paper-citation-record.v1
2608.04283 v1

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measured 43 of 43 reference resolution

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43 of 43 outbound references displayed

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Outbound references

Observation 75d69cf8-5165-4c75-ac8b-9511bcf0d4c0 · outbound

This paper cites Onlatticeboltzmannmethodsbasedonvector-kineticmodelsforhyperbolicpartialdifferentialequa- tions.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Onlatticeboltzmannmethodsbasedonvector-kineticmodelsforhyperbolicpartialdifferentialequa- tions

Reference 1

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Observation 3283980a-3b5f-4fb0-b5e2-26e8400e8051 · outbound

This paper cites Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:49:11.967391Z

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Observation 87bf8d1d-5222-4fd8-8fde-8825e4171d0f · outbound

This paper cites Discrete kinetic schemes for multidimensional systems of conservation laws.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Discrete kinetic schemes for multidimensional systems of conservation laws

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:49:11.950049Z

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Observation 31b8aa94-8e84-4ea7-bd45-b852e982da7a · outbound

This paper cites A robust and efficient solver based on kinetic schemes for magnetohydrodynamics (mhd) equations.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A robust and efficient solver based on kinetic schemes for magnetohydrodynamics (mhd) equations

Reference 4

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Observation 861a7a28-5985-4de3-baaa-998796a6c862 · outbound

This paper cites Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:49:11.880606Z

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Observation b8c57f8a-5625-4bf0-af24-f593dc9e772d · outbound

This paper cites Phys.Rev.94,511–525.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Phys.Rev.94,511–525

Reference 6

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Observation dc7ce6d5-be6a-499e-9407-c8020611e208 · outbound

This paper cites Lattice boltzmann for linear elastodynamics: Periodic problems and dirichlet boundary conditions.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Lattice boltzmann for linear elastodynamics: Periodic problems and dirichlet boundary conditions

Reference 7

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Observation 139680cb-979e-4f5d-9cd5-95199592be0f · outbound

This paper cites A novel second-order flux splitting for ideal magnetohydrodynamics.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A novel second-order flux splitting for ideal magnetohydrodynamics

Reference 8

Resolution: verified exact; doi, observed 2026-08-15T14:49:11.085358Z

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Observation 831d826f-fe98-4f5d-aac7-c844a1e70695 · outbound

This paper cites Construction of BGK models with a family of kinetic entropies for a given system of conservation laws.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Construction of BGK models with a family of kinetic entropies for a given system of conservation laws

Reference 9

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Observation 3f0b2801-ce39-4859-8499-724d2011ae70 · outbound

This paper cites Lattice boltzmann method for fluid flows.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Lattice boltzmann method for fluid flows

Reference 10

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Observation 16df090f-2fad-4185-9404-1bf2b1c5ff00 · outbound

This paper cites High-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws High-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:49:11.794147Z

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Observation e0c90d85-acf1-4dfd-a693-4ede489ef9e3 · outbound

This paper cites Therunge-kuttalocalprojectiondiscontinuousgalerkinfiniteelementmethodforconservationlaws.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Therunge-kuttalocalprojectiondiscontinuousgalerkinfiniteelementmethodforconservationlaws

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:49:11.776344Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b0c4a1be-5f6e-4c03-ae06-0db6f850314c · outbound

This paper cites Hyperbolic divergence cleaning for the mhd equations.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Hyperbolic divergence cleaning for the mhd equations

Reference 13

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Observation b63032c6-0b89-476d-a1b1-956588c8475f · outbound

This paper cites Lattice kinetic schemes for magnetohydrodynamics.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Lattice kinetic schemes for magnetohydrodynamics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T14:49:10.797627Z

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Observation b5f0fdd8-fb0e-4651-aeba-7007cf1b0ff6 · outbound

This paper cites Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Simulation of strong nonlinear waves with vectorial lattice Boltzmann schemes

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:49:11.551280Z

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Observation 821aee19-89f4-44cb-bdaf-ca5b3fc702f5 · outbound

This paper cites Theory and practice of finite elements.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Theory and practice of finite elements

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:49:12.133426Z

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Observation 4fe9e63b-ba4e-4996-a28e-e9f6f66df4be · outbound

This paper cites Principles of Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Principles of Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:49:12.121411Z

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Observation 513458f8-aa98-4c3b-a455-a3514d7b6eae · outbound

This paper cites Second-order invariant domain preserving approximation of the euler equations using convex limiting.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Second-order invariant domain preserving approximation of the euler equations using convex limiting

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:49:12.108411Z

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Observation 169c4787-0284-456b-b381-deec3f3c9fb6 · outbound

This paper cites Stability analysis of the vectorial lattice-boltzmann method.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Stability analysis of the vectorial lattice-boltzmann method

Reference 19

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Observation 98d5c7b6-605f-431e-a29d-874a6efe8a8e · outbound

This paper cites A novel thermal model for the lattice boltzmann method in incompressible limit.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A novel thermal model for the lattice boltzmann method in incompressible limit

Reference 20

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Observation 1269a47a-78cd-4f61-acbe-b2e99037180f · outbound

This paper cites Characteristic boundary conditions in the lattice boltzmann method for fluid and gas dynamics.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Characteristic boundary conditions in the lattice boltzmann method for fluid and gas dynamics

Reference 21

Resolution: verified exact; doi, observed 2026-08-15T14:49:11.060403Z

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Observation 3516b25d-70a2-4e5d-b658-9aaa133abbff · outbound

This paper cites Characteristic boundary condition for thermal lattice boltzmann methods.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Characteristic boundary condition for thermal lattice boltzmann methods

Reference 22

Resolution: verified exact; doi, observed 2026-08-15T14:49:11.048305Z

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Observation 0b1d22e9-c723-42a8-aca6-d0e1182cb137 · outbound

This paper cites The lattice Boltzmann method.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws The lattice Boltzmann method

Reference 23

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Observation c0a6be3d-a1c4-497b-aa45-7e3757b8e082 · outbound

This paper cites Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:49:12.084489Z

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Observation 86b466c6-49fe-4eec-8f3d-1d9f48095ef1 · outbound

This paper cites Flux-corrected transport: principles, algorithms, and applications.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Flux-corrected transport: principles, algorithms, and applications

Reference 25

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Observation 87e0bc0d-7929-4cc0-b53f-c10aa4e4124c · outbound

This paper cites Finite volume methods for hyperbolic problems.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Finite volume methods for hyperbolic problems

Reference 26

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Observation 6cf3d73d-1f9e-40e0-8210-b7f337b87081 · outbound

This paper cites A linearity preserving nodal variation limiting algorithm for continuous galerkin discretization of ideal mhd equations.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A linearity preserving nodal variation limiting algorithm for continuous galerkin discretization of ideal mhd equations

Reference 27

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Observation 2291be66-445e-4d7a-be31-f99322c4fb2f · outbound

This paper cites Lattice bgk models for navier-stokes equation.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Lattice bgk models for navier-stokes equation

Reference 28

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Observation a22de774-c8c2-4602-88c3-bb71cd0a0fa5 · outbound

This paper cites Aflux-splittingsolverforshallowwaterequationswithsourceterms.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Aflux-splittingsolverforshallowwaterequationswithsourceterms

Reference 29

Resolution: verified exact; doi, observed 2026-08-15T14:49:11.029537Z

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Observation 028b1123-9a16-42be-9d8b-d5706f7a416e · outbound

This paper cites Lattice boltzmann model for simulating flows with multiple phases and components.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Lattice boltzmann model for simulating flows with multiple phases and components

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T14:49:10.864297Z

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Observation 20cb3a7d-d0e0-45c3-bbf2-9782d2fa1685 · outbound

This paper cites High order weighted essentially nonoscillatory schemes for convection dominated problems.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws High order weighted essentially nonoscillatory schemes for convection dominated problems

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T14:49:10.868239Z

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Observation 1579b0e1-a915-423b-ba20-8c059ab9f8d2 · outbound

This paper cites The athena++ adaptive mesh refinement framework: Design and magnetohydro- dynamic solvers.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws The athena++ adaptive mesh refinement framework: Design and magnetohydro- dynamic solvers

Reference 35

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Observation fc133832-8d7b-4d05-acfa-8bc233731d65 · outbound

This paper cites The Lattice Boltzmann Equation for Fluid Dynamics and Beyond.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws The Lattice Boltzmann Equation for Fluid Dynamics and Beyond

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:49:12.048522Z

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Observation 3a72f668-638b-4b27-a04d-a7688a69988c · outbound

This paper cites On the sonic point glitch.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws On the sonic point glitch

Reference 37

Resolution: verified exact; doi, observed 2026-08-15T14:49:10.995449Z

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Observation f62d0d56-79ac-4ff4-b374-531293d83ec5 · outbound

This paper cites Flux splitting schemes for the euler equations.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Flux splitting schemes for the euler equations

Reference 38

Resolution: verified exact; doi, observed 2026-08-15T14:49:10.982499Z

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Observation 30c7fbf2-f51e-4136-8a30-cab6a48f9810 · outbound

This paper cites Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

Reference 39

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Observation 019737d9-f9d2-471d-81e4-cb464055e6d7 · outbound

This paper cites A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes

Reference 40

Resolution: verified exact; doi, observed 2026-08-15T14:49:10.970010Z

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Observation 8ee666ed-af1c-41b4-baa5-34f815d68b48 · outbound

This paper cites Towards the ultimate conservative difference scheme.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Towards the ultimate conservative difference scheme

Reference 41

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Observation d024b365-3c8b-4b40-b24a-d5ba74b870c0 · outbound

This paper cites Flux-vector splitting for the Euler equations, in: Krause, E.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Flux-vector splitting for the Euler equations, in: Krause, E

Reference 42

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Observation ed1fbe11-bca3-4de6-a4da-cab3e2105d3b · outbound

This paper cites A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A new local and explicit kinetic method for linear and non-linear convection-diffusion problems with finite kinetic speeds: I

Reference 43

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Observation 49075447-5e6e-4da0-83c2-85f65531ecd1 · outbound

This paper cites A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T14:49:10.913508Z

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Observation 1ad7e4ea-6f89-4993-b733-8a9291b63931 · outbound

This paper cites Numerical solutions of euler equations by using a new flux vector splitting scheme.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws Numerical solutions of euler equations by using a new flux vector splitting scheme

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T14:49:10.917609Z

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Observation 8ccc443b-159b-45c8-84f9-4a1da4221d80 · outbound

This paper cites A novel flux splitting based on wave-particle splitting for ideal magnetohydrodynamics.

A Weighted Upwind Vector Kinetic Lattice Boltzmann Method For Hyperbolic Conservation Laws A novel flux splitting based on wave-particle splitting for ideal magnetohydrodynamics

Reference 46

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