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Paper Citation Record · LEDGER

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws

As of 19 August 2026, this Paper Citation Record lists 100 of 131 outbound references and 1 inbound Pith citation observation for arXiv:2607.27049.

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2607.27049 v1

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measured 100 of 131 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: pith, observed 2026-08-10T04:16:34.526216Z

Reference resolution

100 of 131 outbound references displayed

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Outbound references

Observation 8133d7eb-f668-4b5b-bfd8-52fa33fa2564 · outbound

This paper cites A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes

Reference 1

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Observation c9562c16-9073-4db9-85dc-9b7b942474fa · outbound

This paper cites Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems

Reference 2

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Observation 76ca98bf-d9bf-46b4-8fad-edb94e7ca096 · outbound

This paper cites Reinterpretation and Extension of Entropy Correc- tion Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Reinterpretation and Extension of Entropy Correc- tion Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization

Reference 3

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Observation c536a526-522b-481f-a8b1-433f7c7e2fa3 · outbound

This paper cites A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

Reference 4

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Observation 4ae06f53-004f-4e64-bb79-4569f3f79e01 · outbound

This paper cites Encapsulated high order difference operators on curvilinear non-conforming grids.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Encapsulated high order difference operators on curvilinear non-conforming grids

Reference 5

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Observation 132f2fb8-ad69-4844-ac15-82ad2945c270 · outbound

This paper cites Error analysis of an asymptotic-preserving, energy-stable finite volume method for barotropic Euler equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Error analysis of an asymptotic-preserving, energy-stable finite volume method for barotropic Euler equations

Reference 6

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Observation 6d6a68e1-0760-4b0c-847d-e6a3f78a44b5 · outbound

This paper cites Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws

Reference 7

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Observation b7005e2b-0bec-4d64-adf7-f9cb583bec6c · outbound

This paper cites An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws An entropy-stable and kinetic energy-preserving macro-element HDG method for compressible flows

Reference 8

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This paper cites Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators

Reference 9

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Observation 52c30cb7-fdf8-4203-91db-a778dd5eff9b · outbound

This paper cites Numerical methods for gasdynamic systems on unstructured meshes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Numerical methods for gasdynamic systems on unstructured meshes

Reference 10

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Observation 7c94d319-f4bb-49a9-9f4d-e8abbf6b5a9d · outbound

This paper cites Julia: A Fresh Approach to Numerical Computing.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Julia: A Fresh Approach to Numerical Computing

Reference 11

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Observation b8a77048-3ddd-4767-b88d-a37e0707204b · outbound

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Boyd and L

Reference 12

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws

Reference 13

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Superconvergence of discontinuous Galerkin methods for linear hyperbolic equations

Reference 14

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This paper cites Efficient Compressible Turbulent Flow Simulations: Entropy Projection and Correction for an ILES in a Discontinuous Galerkin solver.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Efficient Compressible Turbulent Flow Simulations: Entropy Projection and Correction for an ILES in a Discontinuous Galerkin solver

Reference 15

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This paper cites Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces

Reference 16

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This paper cites Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Reference 17

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Observation a72f49da-ab7e-4df1-9271-ad086080f4b5 · outbound

This paper cites An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods

Reference 18

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Unresolved cited work

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Observation 73be8fed-5bdd-44cc-8c64-4ceae16b3e3e · outbound

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Ontheentropy projectionandtherobustnessofhighorderentropystablediscontinuousGalerkinschemes for under-resolved flows

Reference 21

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This paper cites Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes forCompressibleEulerandNavier-StokesEquations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes forCompressibleEulerandNavier-StokesEquations

Reference 22

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Means Generated by an Integral

Reference 23

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Reference 24

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Review of Entropy Stable Discontinuous Galerkin Methods for Systems of Conservation Laws on Unstructured Simplex Meshes

Reference 25

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This paper cites Superconvergence of discontinuous Galerkin and local discon- tinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Superconvergence of discontinuous Galerkin and local discon- tinuous Galerkin schemes for linear hyperbolic and convection-diffusion equations in one space dimension

Reference 26

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Berlin Heidelberg: Springer, 2016.doi:10

Reference 28

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This paper cites TheSecondLawofThermodynamicsandStability.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws TheSecondLawofThermodynamicsandStability

Reference 29

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A posteriori analysis of fully discrete method of lines DG schemes for systems of conservation laws

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This paper cites Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

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This paper cites Two methods of Galerkin type achieving optimum𝐿2 rates of convergence for first order hyperbolics.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Two methods of Galerkin type achieving optimum𝐿2 rates of convergence for first order hyperbolics

Reference 32

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Uniqueness of Solutions to Hyperbolic Conservation Laws

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Doehring, J

Reference 34

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This paper cites Galerkin methods for first order hyperbolics: An example.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Galerkin methods for first order hyperbolics: An example

Reference 35

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Observation a444d8b8-00fc-4f52-b66e-cd3b2d2e6b42 · outbound

This paper cites Conservative correction procedures utilizing artificial dissipation operators.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Conservative correction procedures utilizing artificial dissipation operators

Reference 36

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Unresolved cited work

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This paper cites High-order entropy stable finite difference schemes for nonlinearconservationlaws:Finitedomains.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws High-order entropy stable finite difference schemes for nonlinearconservationlaws:Finitedomains

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This paper cites Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws

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Observation b1705617-d3f4-4bac-9856-889e30dccaad · outbound

This paper cites EnergyPreservingandEnergyStableSchemes for the Shallow Water Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws EnergyPreservingandEnergyStableSchemes for the Shallow Water Equations

Reference 40

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This paper cites Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

Reference 41

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Observation cb811fa5-7dc9-4673-9caf-c7978ff483cc · outbound

This paper cites ArbitrarilyHigh-OrderAccurateEntropyStable Essentially Nonoscillatory Schemes for Systems of Conservation Laws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws ArbitrarilyHigh-OrderAccurateEntropyStable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

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This paper cites Systems of Conservation Equations with a Convex Ex- tension.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Systems of Conservation Equations with a Convex Ex- tension

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This paper cites Error estimates for a numerical ap- proximation to the compressible barotropic Navier-Stokes equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Error estimates for a numerical ap- proximation to the compressible barotropic Navier-Stokes equations

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Observation 111e7239-18b8-40cc-b540-d9c3e21a3ec3 · outbound

This paper cites Stability issues of entropy-stable and/or split-form high-order schemes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Stability issues of entropy-stable and/or split-form high-order schemes

Reference 45

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Observation e813df60-748b-4e47-ae7c-2f133aa008e2 · outbound

This paper cites A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where?.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where?

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Observation 63b43d8c-1c20-47e5-af94-8daa47785945 · outbound

This paper cites Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

Reference 47

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This paper cites ASkew-SymmetricDiscontinuousGalerkinSpectralElementDiscretization and Its Relation to SBP-SAT Finite Difference Methods.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws ASkew-SymmetricDiscontinuousGalerkinSpectralElementDiscretization and Its Relation to SBP-SAT Finite Difference Methods

Reference 48

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This paper cites Awellbalancedandentropyconservative discontinuous Galerkin spectral element method for the shallow water equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Awellbalancedandentropyconservative discontinuous Galerkin spectral element method for the shallow water equations

Reference 49

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws RelativeentropybasederrorestimatesfordiscontinuousGalerkinschemes

Reference 50

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Observation a2fc4e37-1bc5-4753-9052-8931b179209e · outbound

This paper cites A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws

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Observation 97e3b17d-37d7-48e2-aa1c-8b2d9fe02b2a · outbound

This paper cites Convergence of hyperbolic approximations to higher- order PDEs for smooth solutions.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Convergence of hyperbolic approximations to higher- order PDEs for smooth solutions

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This paper cites Glaubitz, A.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Glaubitz, A

Reference 53

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This paper cites An interesting class of quasi-linear systems.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws An interesting class of quasi-linear systems

Reference 54

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Observation 5f4d6230-d6d1-4bd8-aa06-499e698c3083 · outbound

This paper cites Theconvergenceratefordifferenceapproximationstomixedinitialbound- ary value problems.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Theconvergenceratefordifferenceapproximationstomixedinitialbound- ary value problems

Reference 55

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Observation 9c67aadb-3c43-4858-8f41-62bd3b0952ab · outbound

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Gustafsson, H.-O

Reference 56

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Observation 3a2ceda6-02f0-4b82-802d-01945cf1aefc · outbound

This paper cites On the symmetric form of systems of conservation laws with entropy.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws On the symmetric form of systems of conservation laws with entropy

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Observation 8ae9a334-1a8e-41de-9a62-ff7ed289b393 · outbound

This paper cites A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations

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Observation 746a2506-54b4-4b1a-a0b3-62efa2b82b6a · outbound

This paper cites Constructing stable, high-order finite-difference operators on point clouds over complex geometries.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Constructing stable, high-order finite-difference operators on point clouds over complex geometries

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Observation 3e9a577a-ac10-4069-b612-3cefc50db448 · outbound

This paper cites Entropy-stable, high-order summation-by-parts discretizations without in- terfacepenalties.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Entropy-stable, high-order summation-by-parts discretizations without in- terfacepenalties

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Observation 89f589d6-d2e5-4f61-862c-edeed5f5ddd7 · outbound

This paper cites MultidimensionalSummation-By- Parts Operators: General Theory and Application to Simplex Elements.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws MultidimensionalSummation-By- Parts Operators: General Theory and Application to Simplex Elements

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This paper cites Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier–Stokes equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier–Stokes equations

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Observation 6408c5df-04a0-458c-b94b-513b10803ed0 · outbound

This paper cites Entropy stable shock capturing space-time discontinuous Galerkinschemesforsystemsofconservationlaws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Entropy stable shock capturing space-time discontinuous Galerkinschemesforsystemsofconservationlaws

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Observation 027db58d-f945-4711-b512-4eccced94d68 · outbound

This paper cites Error estimates to smooth solutions of semi-discrete discontin- uous Galerkin methods with quadrature rules for scalar conservation laws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Error estimates to smooth solutions of semi-discrete discontin- uous Galerkin methods with quadrature rules for scalar conservation laws

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Observation b4273996-24b4-4538-9f19-7008a367d9f3 · outbound

This paper cites A new finite element formulation for compu- tational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A new finite element formulation for compu- tational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics

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Observation 3580aa64-551d-4eb1-9f8b-9123197cd2ac · outbound

This paper cites A Flux Reconstruction Approach to High-Order Schemes Including Dis- continuous Galerkin Methods.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A Flux Reconstruction Approach to High-Order Schemes Including Dis- continuous Galerkin Methods

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Observation 565af070-e46a-42b0-aa59-6cd02ada11c5 · outbound

This paper cites Affordable, entropy-consistent Euler flux functions II: Entropy productionatshocks.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Affordable, entropy-consistent Euler flux functions II: Entropy productionatshocks

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Observation 913d2cb4-d63d-4f96-9723-4ec79dbef1b2 · outbound

This paper cites On a cell entropy inequality for discontinuous Galerkin meth- ods.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws On a cell entropy inequality for discontinuous Galerkin meth- ods

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Observation 53cf54f1-8c63-4be7-a50d-de2ab82e0cf7 · outbound

This paper cites An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation

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Observation 247cfd98-fd41-4886-8ae6-f81a29f8e90b · outbound

This paper cites ErrorEstimatesforFiniteVolumeApproximationsofClassical SolutionsforNonlinearSystemsofHyperbolicBalanceLaws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws ErrorEstimatesforFiniteVolumeApproximationsofClassical SolutionsforNonlinearSystemsofHyperbolicBalanceLaws

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Observation eb41e22c-6d38-4bf8-b2d9-9a5ff0eae85b · outbound

This paper cites Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Unresolved cited work

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This paper cites MetricIdentitiesandtheDiscontinuousSpectralElementMethodonCurvi- linear Meshes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws MetricIdentitiesandtheDiscontinuousSpectralElementMethodonCurvi- linear Meshes

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This paper cites FiniteElementandFiniteDifferenceMethodsforHyperbolic PartialDifferentialEquations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws FiniteElementandFiniteDifferenceMethodsforHyperbolic PartialDifferentialEquations

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Unresolved cited work

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This paper cites A robust first order meshfree method for time-dependent nonlinear conservationlaws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A robust first order meshfree method for time-dependent nonlinear conservationlaws

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This paper cites FullyDiscrete,EntropyConservativeSchemes of Arbitrary Order.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws FullyDiscrete,EntropyConservativeSchemes of Arbitrary Order

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This paper cites Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Conditional a priori error estimates of finite volume and Runge-Kutta discontinuous Galerkin methods with abstract limiting for hyperbolic systems of conservation laws in 1D

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This paper cites On the order of accuracy of finite difference operatorsondiagonalnormbasedsummation-by-partsform.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws On the order of accuracy of finite difference operatorsondiagonalnormbasedsummation-by-partsform

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This paper cites Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations

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This paper cites ConvergenceofDiscontinuousGalerkinSchemesfor the Euler Equations via Dissipative Weak Solutions.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws ConvergenceofDiscontinuousGalerkinSchemesfor the Euler Equations via Dissipative Weak Solutions

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This paper cites Error Estimates of the Godunov Method fortheMultidimensionalCompressibleEulerSystem.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Error Estimates of the Godunov Method fortheMultidimensionalCompressibleEulerSystem

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This paper cites Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Systemsofconservationlawsofmixedtype

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Finite volume approximations and strict stability for hyper- bolic problems

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This paper cites EntropyStableStaggeredGrid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier- Stokes Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws EntropyStableStaggeredGrid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier- Stokes Equations

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws OnpositivitypreservingfinitevolumeschemesforEulerequa- tions

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A note on the convergence of the discontinuous Galerkin method for a scalarhyperbolicequation

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Petri, S

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This paper cites DifferentialEquations.jl–aperformantandfeature-richecosys- temforsolvingdifferentialequationsinJulia.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws DifferentialEquations.jl–aperformantandfeature-richecosys- temforsolvingdifferentialequationsinJulia

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This paper cites ANoteonNumericalFluxesConservingaMemberofHarten’sOne-Parameter Family of Entropies for the Compressible Euler Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws ANoteonNumericalFluxesConservingaMemberofHarten’sOne-Parameter Family of Entropies for the Compressible Euler Equations

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This paper cites Comparison of some Entropy Conservative Numerical Fluxes for the Euler Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Comparison of some Entropy Conservative Numerical Fluxes for the Euler Equations

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This paper cites Convergence of entropy-conservative summation-by- partsdiscretizationstosmoothsolutionsofhyperbolicconservationlaws.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Convergence of entropy-conservative summation-by- partsdiscretizationstosmoothsolutionsofhyperbolicconservationlaws

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This paper cites Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods

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This paper cites SummationByPartsOperators.jl: A Julia library of provably stable discretiza- tion techniques with mimetic properties.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws SummationByPartsOperators.jl: A Julia library of provably stable discretiza- tion techniques with mimetic properties

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This paper cites Optimized Runge-Kutta meth- ods with automatic step size control for compressible computational fluid dynamics.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Optimized Runge-Kutta meth- ods with automatic step size control for compressible computational fluid dynamics

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This paper cites Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes

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This paper cites General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes

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This paper cites A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

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This paper cites Summation-by-parts operators for correction procedure via reconstruction.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Summation-by-parts operators for correction procedure via reconstruction

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This paper cites Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.

Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

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Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws

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The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws cites this paper.

The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws

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