Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts

Journal of Scientific Computing ◽

10.1007/s10915-021-01463-6 ◽

2021 ◽

Vol 87 (2) ◽

Author(s):

Philippe G. LeFloch ◽

Hendrik Ranocha

Keyword(s):

Entropy Stability ◽

Summation By Parts

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Correction: High-Order Artificial Dissipation Operators Possessing the Summation-By-Parts Property

2018 Fluid Dynamics Conference ◽

10.2514/6.2018-4165.c1 ◽

2018 ◽

Author(s):

David Craig Penner ◽

David W. Zingg

Keyword(s):

Summation By Parts ◽

Artificial Dissipation

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Summation by parts and formal solutions of differential equations

Journal d Analyse Mathématique ◽

10.1007/bf02787677 ◽

1968 ◽

Vol 21 (1) ◽

pp. 415-422

Author(s):

John Abramowich

Keyword(s):

Differential Equations ◽

Summation By Parts ◽

Formal Solutions

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Generalised summation-by-parts operators and variable coefficients

Journal of Computational Physics ◽

10.1016/j.jcp.2018.02.021 ◽

2018 ◽

Vol 362 ◽

pp. 20-48 ◽

Author(s):

Hendrik Ranocha

Keyword(s):

Variable Coefficients ◽

Summation By Parts

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Analysis and Entropy Stability of the Line-Based Discontinuous Galerkin Method

Journal of Scientific Computing ◽

10.1007/s10915-019-00942-1 ◽

2019 ◽

Vol 80 (1) ◽

pp. 376-402 ◽

Author(s):

Will Pazner ◽

Per-Olof Persson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Entropy Stability

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Entropy-Stable, High-Order Discretizations Using Continuous Summation-By-Parts Operators

AIAA Aviation 2019 Forum ◽

10.2514/6.2019-3206 ◽

2019 ◽

Author(s):

Jason E. Hicken

Keyword(s):

Summation By Parts ◽

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Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-016-0297-3 ◽

2016 ◽

Vol 71 (1) ◽

pp. 219-245 ◽

Author(s):

Siyang Wang ◽

Gunilla Kreiss

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Methods ◽

Summation By Parts ◽

Difference Methods

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Summation-by-parts in time

Journal of Computational Physics ◽

10.1016/j.jcp.2013.05.042 ◽

2013 ◽

Vol 251 ◽

pp. 487-499 ◽

Author(s):

Jan Nordström ◽

Tomas Lundquist

Keyword(s):

Summation By Parts

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Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements

Journal of Computational Physics ◽

10.1016/j.jcp.2017.12.015 ◽

2018 ◽

Vol 356 ◽

pp. 410-438 ◽

Author(s):

Jared Crean ◽

Jason E. Hicken ◽

David C. Del Rey Fernández ◽

David W. Zingg ◽

Mark H. Carpenter

Keyword(s):

Euler Equations ◽

Summation By Parts ◽

Curved Elements ◽

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Simultaneous Approximation Terms for Multidimensional Summation-by-parts Operators

46th AIAA Fluid Dynamics Conference ◽

10.2514/6.2016-3971 ◽

2016 ◽

Author(s):

Jason E. Hicken ◽

David C. Del Rey Fernández ◽

David W. Zingg

Keyword(s):

Simultaneous Approximation ◽

Summation By Parts ◽

Simultaneous Approximation Terms

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Correction Procedure via Reconstruction Using Summation-by-Parts Operators

Theory, Numerics and Applications of Hyperbolic Problems II - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-91548-7_37 ◽

2018 ◽

pp. 491-501

Author(s):

Philipp Öffner ◽

Hendrik Ranocha ◽

Thomas Sonar

Keyword(s):

Correction Procedure ◽

Summation By Parts

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