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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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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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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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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Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms

Nonlinear Analysis ◽

10.1016/j.na.2005.06.009 ◽

2006 ◽

Vol 64 (1) ◽

pp. 69-91 ◽

Author(s):

L. Liu ◽

M. Wang

Keyword(s):

Global Existence ◽

Blow Up ◽

Hyperbolic Systems ◽

Source Terms ◽

Damping And Source Terms

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High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Journal of Scientific Computing ◽

10.1007/s10915-005-9027-y ◽

2005 ◽

Vol 27 (1-3) ◽

pp. 477-494 ◽

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Source Terms ◽

Weno Schemes ◽

Finite Difference Weno Schemes

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High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2005.10.005 ◽

2006 ◽

Vol 214 (2) ◽

pp. 567-598 ◽

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

Galerkin Methods ◽

Source Terms ◽

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Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms

Journal of Differential Equations ◽

10.1006/jdeq.1998.3584 ◽

1999 ◽

Vol 155 (1) ◽

pp. 89-132 ◽

Author(s):

Wen-An Yong

Keyword(s):

Singular Perturbations ◽

Hyperbolic Systems ◽

Source Terms ◽

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