Linearization method to stability analysis for nonlinear hyperbolic systems

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(01)01866-3 ◽

2001 ◽

Vol 332 (9) ◽

pp. 809-814 ◽

Author(s):

Cheng-Zhong Xu ◽

De-Xing Feng

Keyword(s):

Stability Analysis ◽

Hyperbolic Systems ◽

Linearization Method ◽

Nonlinear Hyperbolic Systems

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Stability in the 𝐿¹ norm via a linearization method for nonlinear hyperbolic systems

Hyperbolic Problems: Theory, Numerics and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/067.1/2605226 ◽

2009 ◽

pp. 299-313

Author(s):

Philippe G. LeFloch

Keyword(s):

Hyperbolic Systems ◽

Linearization Method ◽

Nonlinear Hyperbolic Systems

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Stability Analysis of Finite Difference Approximations to Hyperbolic Systems, and Problems in Applied and Computational Matrix Theory

10.21236/ada200755 ◽

1988 ◽

Author(s):

Moshe Goldberg ◽

Marvin Marcus

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Matrix Theory ◽

Hyperbolic Systems ◽

Finite Difference Approximations ◽

Difference Approximations

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On the Convergence Rate of Vanishing Viscosity Approximations for Nonlinear Hyperbolic Systems

SIAM Journal on Mathematical Analysis ◽

10.1137/120869249 ◽

2012 ◽

Vol 44 (5) ◽

pp. 3537-3563 ◽

Author(s):

Alberto Bressan ◽

Feimin Huang ◽

Yong Wang ◽

Tong Yang

Keyword(s):

Convergence Rate ◽

Hyperbolic Systems ◽

Vanishing Viscosity ◽

Nonlinear Hyperbolic Systems

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Nonlinear hyperbolic systems with nonlocal boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90255-1 ◽

1987 ◽

Vol 121 (2) ◽

pp. 449-464 ◽

Author(s):

Eugenio Sinestrari ◽

G.F Webb

Keyword(s):

Boundary Conditions ◽

Hyperbolic Systems ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Nonlinear Hyperbolic Systems

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Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications

Lecture Notes in Mathematics - Evolutionary Equations with Applications in Natural Sciences ◽

10.1007/978-3-319-11322-7_9 ◽

2014 ◽

pp. 439-493 ◽

Author(s):

Mapundi Kondwani Banda

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Systems Of Conservation Laws ◽

Nonlinear Hyperbolic Systems

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Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving hyperbolic systems. Part I: Periodic boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.027 ◽

2019 ◽

Vol 356 ◽

pp. 67-80

Author(s):

T.I. Lakoba ◽

Z. Deng

Keyword(s):

Stability Analysis ◽

Boundary Conditions ◽

Numerical Method ◽

Method Of Characteristics ◽

Periodic Boundary ◽

Hyperbolic Systems ◽

Periodic Boundary Conditions

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On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-006-0023-4 ◽

2006 ◽

Vol 52 (2) ◽

pp. 303-315

Author(s):

Kunihiko Kajitani ◽

Yasuo Yuzawa

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

Hölder Continuous ◽

Gevrey Classes ◽

The Cauchy Problem ◽

Local Solutions ◽

Nonlinear Hyperbolic Systems

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Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems

Journal of Computational Physics ◽

10.1016/j.jcp.2010.05.007 ◽

2010 ◽

Vol 229 (18) ◽

pp. 6485-6511 ◽

Author(s):

J. Tryoen ◽

O. Le Maître ◽

M. Ndjinga ◽

A. Ern

Keyword(s):

Hyperbolic Systems ◽

Galerkin Methods ◽

Nonlinear Hyperbolic Systems

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One dimensional methods for the numerical solution of nonlinear hyperbolic systems

Lecture Notes in Mathematics - Conference on Applications of Numerical Analysis ◽

10.1007/bfb0069463 ◽

1971 ◽

pp. 290-296 ◽

Author(s):

A. R. Gourlay ◽

G. McGuire ◽

J.Ll. Morris

Keyword(s):

Numerical Solution ◽

Hyperbolic Systems ◽

One Dimensional ◽

Nonlinear Hyperbolic Systems

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Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.04.036 ◽

2005 ◽

Vol 49 (2-3) ◽

pp. 335-364 ◽

Author(s):

Tariel Kiguradze ◽

Takaŝi Kusano

Keyword(s):

Hyperbolic Systems ◽

Independent Variables ◽

Two Independent Variables ◽

Nonlinear Hyperbolic Systems

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