A steady-state capturing method for hyperbolic systems with geometrical source terms

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2001130 ◽

2001 ◽

Vol 35 (4) ◽

pp. 631-645 ◽

Author(s):

Shi Jin

Keyword(s):

Steady State ◽

Hyperbolic Systems ◽

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A Steady-State Capturing Method for Hyperbolic Systems with Geometrical Source Terms

Transport in Transition Regimes - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-0017-5_10 ◽

2004 ◽

pp. 177-183 ◽

Author(s):

Shi Jin

Keyword(s):

Steady State ◽

Hyperbolic Systems ◽

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A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations

Journal of Computational Physics ◽

10.1016/j.jcp.2006.03.019 ◽

2006 ◽

Vol 219 (1) ◽

pp. 322-390 ◽

Author(s):

Xin Wen

Keyword(s):

Steady State ◽

Hyperbolic Systems ◽

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Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms

Journal of Evolution Equations ◽

10.1007/s00028-018-0449-z ◽

2018 ◽

Vol 18 (3) ◽

pp. 1471-1500 ◽

Author(s):

Martin Gugat ◽

Vincent Perrollaz ◽

Lionel Rosier

Keyword(s):

Exponential Decay ◽

Hyperbolic Systems ◽

Balance Laws ◽

Source Terms ◽

Boundary Stabilization ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Balance Laws

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Far field boundary conditions for steady state solutions to hyperbolic systems

Lecture Notes in Mathematics - Nonlinear Hyperbolic Problems ◽

10.1007/bfb0078332 ◽

1987 ◽

pp. 238-252 ◽

Author(s):

Bertil Gustafsson

Keyword(s):

Steady State ◽

Boundary Conditions ◽

Hyperbolic Systems ◽

Far Field ◽

Field Boundary ◽

Steady State Solutions

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Adaptation and Assessment of a High Resolution Semi-Discrete Numerical Scheme for Hyperbolic Systems with Source Terms and Stiffness

Lecture Notes in Computer Science - Computational Science — ICCS 2002 ◽

10.1007/3-540-46080-2_47 ◽

2002 ◽

pp. 452-460

Author(s):

R. Naidoo ◽

S. Baboolal

Keyword(s):

High Resolution ◽

Numerical Scheme ◽

Hyperbolic Systems ◽

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Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109828 ◽

2020 ◽

Vol 423 ◽

pp. 109828

Author(s):

Weifeng Zhao ◽

Juntao Huang

Keyword(s):

Hyperbolic Systems ◽

Kutta Method ◽

Source Terms ◽

Runge Kutta Method ◽

Boundary Treatment ◽

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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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Exact solution of some hyperbolic systems with source terms

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2002.0987 ◽

2003 ◽

Vol 459 (2029) ◽

pp. 263-271 ◽

Author(s):

M.E. Vázquez-Cendón ◽

E.F. Toro

Keyword(s):

Exact Solution ◽

Hyperbolic Systems ◽

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A comprehensive explanation and exercise of the source terms in hyperbolic systems using Roe type solutions. Application to the 1D-2D shallow water equations

Advances in Water Resources ◽

10.1016/j.advwatres.2016.10.019 ◽

2016 ◽

Vol 98 ◽

pp. 70-96 ◽

Author(s):

J. Murillo ◽

A. Navas-Montilla

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Hyperbolic Systems ◽

Source Terms ◽

2D Shallow Water Equations

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Modifications to the Lax?Wendroff scheme for hyperbolic systems with source terms

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19990110)44:1<27::aid-nme485>3.0.co;2-0 ◽

1999 ◽

Vol 44 (1) ◽

pp. 27-40 ◽

Author(s):

Yuangao Zhang ◽

Behrouz Tabarrok

Keyword(s):

Hyperbolic Systems ◽

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