ADER Methods for Hyperbolic Equations with a Time-Reconstruction Solver for the Generalized Riemann Problem: the Scalar Case

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00040-x ◽

2019 ◽

Vol 2 (3) ◽

pp. 369-402 ◽

Author(s):

R. Demattè ◽

V. A. Titarev ◽

G. I. Montecinos ◽

E. F. Toro

Keyword(s):

Riemann Problem ◽

Hyperbolic Equations ◽

Scalar Case ◽

Generalized Riemann Problem ◽

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Solver for the Generalized Riemann Problem for Balance Laws with Stiff Source Terms: The Scalar Case

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0059 ◽

2012 ◽

pp. 576-583

Author(s):

Gino Montecinos ◽

Eleuterio Toro

Keyword(s):

Riemann Problem ◽

Scalar Case ◽

Balance Laws ◽

Source Terms ◽

Generalized Riemann Problem

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Generalized Riemann problem-based upwind scheme for the vorticity transport equations

Computers & Fluids ◽

10.1016/j.compfluid.2016.03.014 ◽

2016 ◽

Vol 132 ◽

pp. 10-18 ◽

Author(s):

Eric Parish ◽

Karthik Duraisamy ◽

Praveen Chandrashekar

Keyword(s):

Riemann Problem ◽

Transport Equations ◽

Upwind Scheme ◽

Generalized Riemann Problem ◽

Vorticity Transport

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Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem

Numerische Mathematik ◽

10.1007/s00211-007-0069-y ◽

2007 ◽

Vol 106 (3) ◽

pp. 369-425 ◽

Author(s):

Matania Ben-Artzi ◽

Jiequan Li

Keyword(s):

Riemann Problem ◽

Balance Laws ◽

Riemann Invariants ◽

Generalized Riemann Problem ◽

Hyperbolic Balance Laws

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The Generalized Riemann Problem of Linear Conjugation for Non-Homogeneous Polyanalytic Equations of Order $n$ in $W_{n,p}(D)$

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1028 ◽

2001 ◽

Vol 20 (2) ◽

pp. 513-524

Author(s):

Ali Seif Mshimba

Keyword(s):

Riemann Problem ◽

Linear Conjugation ◽

Generalized Riemann Problem ◽

Problem Of Linear Conjugation

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Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.049 ◽

2016 ◽

Vol 315 ◽

pp. 409-433 ◽

Author(s):

Christian Contarino ◽

Eleuterio F. Toro ◽

Gino I. Montecinos ◽

Raul Borsche ◽

Jochen Kall

Keyword(s):

Riemann Problem ◽

Balance Laws ◽

Generalized Riemann Problem ◽

Hyperbolic Balance Laws ◽

Implicit Solver

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Generalized Riemann problem for gas dynamic combustion

Applied Mathematics and Mechanics ◽

10.1007/s10483-011-1482-6 ◽

2011 ◽

Vol 32 (8) ◽

pp. 1079-1090 ◽

Author(s):

Yu-jin Liu ◽

Wan-cheng Sheng

Keyword(s):

Riemann Problem ◽

Generalized Riemann Problem ◽

Gas Dynamic ◽

Dynamic Combustion

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The Generalized Riemann Problem for Linear Differential Equations and the Allied Problems for Linear Difference and q-Difference Equations

Proceedings of the American Academy of Arts and Sciences ◽

10.2307/20025482 ◽

1913 ◽

Vol 49 (9) ◽

pp. 521 ◽

Author(s):

George D. Birkhoff

Keyword(s):

Differential Equations ◽

Riemann Problem ◽

Difference Equations ◽

Linear Differential Equations ◽

Generalized Riemann Problem ◽

Linear Differential

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Solution of generalized Riemann problem for hyperbolic p−system with damping

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2019.07.014 ◽

2019 ◽

Vol 117 ◽

pp. 103229 ◽

Author(s):

Rahul Kumar Chaturvedi ◽

Pooja Gupta ◽

L.P. Singh

Keyword(s):

Riemann Problem ◽

P System ◽

Generalized Riemann Problem

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Remark on the generalized Riemann problem method for compressible fluid flows

Journal of Computational Physics ◽

10.1016/j.jcp.2006.08.017 ◽

2007 ◽

Vol 222 (2) ◽

pp. 796-808 ◽

Author(s):

Jiequan Li ◽

Zhongfeng Sun

Keyword(s):

Riemann Problem ◽

Compressible Fluid ◽

Fluid Flows ◽

Generalized Riemann Problem ◽

Problem Method ◽

Compressible Fluid Flows

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Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2012.06.011 ◽

2012 ◽

Vol 231 (19) ◽

pp. 6472-6494 ◽

Author(s):

G. Montecinos ◽

C.E. Castro ◽

M. Dumbser ◽

E.F. Toro

Keyword(s):

Riemann Problem ◽

Hyperbolic Systems ◽

Source Terms ◽

Generalized Riemann Problem

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