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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows

As of 7 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2605.24898.

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2605.24898 v1

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measured 44 of 44 reference resolution

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Outbound references

Observation 6e53078a-b41f-4229-b76d-1731e0dd6601 · outbound

This paper cites On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions.Math.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions.Math

Reference 1

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Observation c379b4c5-f71a-4bd3-813f-8e510a1ebbe9 · outbound

This paper cites The coupling of homogeneous models for two-phase flows.International Journal on Finite Volumes, 4:1–39, 2007.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows The coupling of homogeneous models for two-phase flows.International Journal on Finite Volumes, 4:1–39, 2007

Reference 2

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Unresolved cited work

Reference 3

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This paper cites Discontinuous Galerkin methods for the complete stochastic Euler equations.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Discontinuous Galerkin methods for the complete stochastic Euler equations

Reference 4

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Observation 5a31ca82-ee68-414c-a6a5-f9948408ec91 · outbound

This paper cites Measure-valued solutions to the complete Euler system.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Measure-valued solutions to the complete Euler system

Reference 5

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Observation ffd12306-22cf-4719-8a31-20b9fa6e9503 · outbound

This paper cites Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations.Trans.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations.Trans

Reference 6

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Observation 86c5330f-1206-4c4d-bd51-e1fbebccc3d9 · outbound

This paper cites Global ill-posedness of the isentropic system of gas dynamics.Commun.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Global ill-posedness of the isentropic system of gas dynamics.Commun

Reference 7

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Observation 526b2b9f-efe8-4e1b-b4c6-28c47a73f355 · outbound

This paper cites Dafermos.Hyperbolic conservation laws in continuum physics, volume 325 ofGrundlehren Math.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Dafermos.Hyperbolic conservation laws in continuum physics, volume 325 ofGrundlehren Math

Reference 8

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Observation 2b694eee-f14c-4b70-803f-a0992cfa3dbd · outbound

This paper cites Sz´ ekelyhidi.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Sz´ ekelyhidi

Reference 9

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Unresolved cited work

Reference 10

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Observation c1f2120a-2d33-46fc-b45a-0f6f76a73ef8 · outbound

This paper cites Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations

Reference 11

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Observation 507254ff-f1be-4b91-9df1-335520913c2a · outbound

This paper cites On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics

Reference 12

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Observation 3450c4c1-2593-4d3e-abdf-a97d31c08626 · outbound

This paper cites On uniqueness of dissipative solutions to the isentropic Euler system.Commun.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On uniqueness of dissipative solutions to the isentropic Euler system.Commun

Reference 13

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Observation e3986a55-6f10-4687-8f8d-a50cc5edd6db · outbound

This paper cites Dissipative measure-valued solutions to the compressible Navier-Stokes system.Calc.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Dissipative measure-valued solutions to the compressible Navier-Stokes system.Calc

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Observation cd0586a2-7cd2-4f23-a4d0-4746ac48b666 · outbound

This paper cites On oscil- latory solutions to the complete Euler system.J.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On oscil- latory solutions to the complete Euler system.J

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Observation e5e218ce-004e-4c28-a04d-b9cdf94012ef · outbound

This paper cites Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions.Found.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions.Found

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Observation 4cfc337e-5f14-4464-ae72-a951f92039a4 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Unresolved cited work

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Observation ed623bd6-9b01-4f4d-a473-158c9e85ece8 · outbound

This paper cites Fisher, Mark H.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Fisher, Mark H

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Observation f754ba73-387b-4280-82a9-e6332dbc9402 · outbound

This paper cites Fjordholm, Roger K¨ appeli, Siddhartha Mishra, and Eitan Tadmor.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Fjordholm, Roger K¨ appeli, Siddhartha Mishra, and Eitan Tadmor

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Observation 51b9857c-8a86-4c12-a38d-ffac97a6d105 · outbound

This paper cites Gassner, Andrew R.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Gassner, Andrew R

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Observation 0b801fdf-9a6e-4a94-8609-f802686c8781 · outbound

This paper cites Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions

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Observation 94d0ea45-ac09-4d51-89d7-5f98cdbfd964 · outbound

This paper cites Multicomponent flow modeling.Sci.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Multicomponent flow modeling.Sci

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Unresolved cited work

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Observation 0d11fdb7-24b8-4d17-a835-13b192c86c45 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Dissipative measure- valued solutions for general conservation laws.Ann

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Observation 0c79cf72-e119-4905-9708-5995e3c089dc · outbound

This paper cites Weak-strong uniqueness for measure-valued solutions of some compressible fluid models.Nonlinearity, 28(11):3873–3890, 2015.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Weak-strong uniqueness for measure-valued solutions of some compressible fluid models.Nonlinearity, 28(11):3873–3890, 2015

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Observation 1c3e27f3-b972-4a4f-8187-bd0728bb03a3 · outbound

This paper cites Rueda-Ram´ ırez, Florian J.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Rueda-Ram´ ırez, Florian J

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Observation 8122408d-0364-4082-89d5-8a820d92f035 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Unresolved cited work

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Observation 29842032-aa37-4f4a-b454-522321e01f9d · outbound

This paper cites Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids

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Observation 58d42aaa-50bc-4922-b622-8cb17149ce2c · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Kennedy and Mark H

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Observation 1ffece60-b077-4613-87ee-5e5c28ea8c44 · outbound

This paper cites Low-storage, explicit runge–kutta schemes for the compressible navier–stokes equations.Applied numerical math- ematics, 35(3):177–219, 2000.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Low-storage, explicit runge–kutta schemes for the compressible navier–stokes equations.Applied numerical math- ematics, 35(3):177–219, 2000

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Observation cb8c0293-bea4-470c-9741-323c6b8e169c · outbound

This paper cites Consistency and con- vergence of flux-corrected finite element methods for nonlinear hyperbolic problems.J.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Consistency and con- vergence of flux-corrected finite element methods for nonlinear hyperbolic problems.J

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Observation 20a4cdbe-001d-49f5-82a9-2c9ca54eae77 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On convergence of numerical solutions for the compressible MHD system with exactly divergence-free magnetic field.SIAM J

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Observation a82d771c-6c43-436f-b9d1-e738f41e71c5 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions.Appl

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Observation d7f66f7c-bf7f-4c20-b22d-a5f03ed635c4 · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport.J

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Observation e95dffa0-4bdb-4b91-8e50-8acdd52dec6a · outbound

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows What is a limit of structure- preserving numerical methods for compressible flows? InNumerical mathematics and advanced applications., pages 17–33

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Observation ca309db1-3ac3-4792-9600-cf4b78ab3d6f · outbound

This paper cites Convergence of first-order finite volume method based on exact Riemann solver for the complete compressible Euler equations.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Convergence of first-order finite volume method based on exact Riemann solver for the complete compressible Euler equations

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This paper cites Weak solutions for some compressible multicompo- nent fluid models.Arch.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Weak solutions for some compressible multicompo- nent fluid models.Arch

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Wiesbaden: Springer Spektrum, 2023

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Comparison of some entropy conservative numerical fluxes for the Euler equations.J

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This paper cites Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing

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This paper cites Entropy stable, robust and high-order DGSEM for the compressible mul- ticomponent Euler equations.J.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Entropy stable, robust and high-order DGSEM for the compressible mul- ticomponent Euler equations.J

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Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Trixi.jl: Adaptive high-order numerical simula- tions of hyperbolic PDEs in Julia, 2025

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This paper cites Entropy stability theory for difference approximations of nonlinear conser- vation laws and related time-dependent problems.Acta Numerica, 12:451–512, 2003.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows Entropy stability theory for difference approximations of nonlinear conser- vation laws and related time-dependent problems.Acta Numerica, 12:451–512, 2003

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This paper cites On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes.J.

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes.J

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