The first differential approximation to finite-difference schemes for hyperbolic systems of equations

N. N. Yanenko; Yu. I. Shokin

doi:10.1007/bf00971662

The first differential approximation to finite-difference schemes for hyperbolic systems of equations

Siberian Mathematical Journal ◽

10.1007/bf00971662 ◽

1970 ◽

Vol 10 (5) ◽

pp. 868-880 ◽

Cited By ~ 2

Author(s):

N. N. Yanenko ◽

Yu. I. Shokin

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Systems Of Equations ◽

Differential Approximation ◽

Hyperbolic Systems Of Equations

Download Full-text

Chapter 9 New Developments of Difference Schemes for 2-D First-Order Hyperbolic Systems of Equations

Elsevier Oceanography Series - Shallow Water Hydrodynamics - Mathematical Theory and Numerical Solution for a Two-dimensional System of Shallow Water Equations ◽

10.1016/s0422-9894(08)70163-6 ◽

1992 ◽

pp. 334-387

Keyword(s):

Hyperbolic Systems ◽

Difference Schemes ◽

Systems Of Equations ◽

New Developments ◽

First Order ◽

Hyperbolic Systems Of Equations

Download Full-text

Numerical investigation of finite difference schemes for nonconservative hyperbolic systems

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

10.1090/psapm/067.2/2605242 ◽

2009 ◽

pp. 465-475

Author(s):

Manuel J. Castro ◽

Philippe G. LeFloch ◽

María Luz Muñoz-Ruiz ◽

Carlos Parés

Keyword(s):

Finite Difference ◽

Numerical Investigation ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Nonconservative Hyperbolic Systems

Download Full-text

On Certain Finite Difference Schemes for Hyperbolic Systems

Mathematics of Computation ◽

10.2307/2003402 ◽

1964 ◽

Vol 18 (85) ◽

pp. 1 ◽

Cited By ~ 3

Author(s):

John Gray

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

Stability Analysis of Finite Difference Schemes for Hyperbolic Systems, and Problems in Applied and Computational Linear Algebra.

10.21236/ada143537 ◽

1984 ◽

Author(s):

M. Marcus ◽

M. Goldberg

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Linear Algebra ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

Stability Analysis of Finite Difference Schemes for Hyperbolic Systems, and Problems in Applied and Computational Linear Algebra.

10.21236/ada161092 ◽

1985 ◽

Author(s):

Marvin Marcus ◽

Moshe Goldberg

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Linear Algebra ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes

Download Full-text

On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions

CALCOLO ◽

10.1007/s10092-013-0077-5 ◽

2013 ◽

Vol 51 (1) ◽

pp. 97-108 ◽

Cited By ~ 1

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Strong Stability ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Space Dimensions

Download Full-text

On the stability of finite difference schemes which approximate regularly hyperbolic systems with nearly constant coefficients

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195195260 ◽

1968 ◽

Vol 4 (1) ◽

pp. 1-12 ◽

Cited By ~ 2

Author(s):

Yoshinori Kametaka

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Constant Coefficients ◽

The Stability

Download Full-text

Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_12 ◽

2007 ◽

pp. 198-206 ◽

Cited By ~ 1

Author(s):

Pep Mulet ◽

Antonio Baeza

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Adaptive Mesh Refinement ◽

Hyperbolic Systems ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Systems Of Conservation Laws

Download Full-text

The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations

Mathematical Notes ◽

10.1007/bf01111310 ◽

1968 ◽

Vol 4 (5) ◽

pp. 787-792 ◽

Cited By ~ 1

Author(s):

Yu. I. Shokin ◽

N. N. Yanenko

Keyword(s):

Hyperbolic Systems ◽

Difference Schemes ◽

Systems Of Equations ◽

Hyperbolic Systems Of Equations ◽

Stability Of Difference Schemes ◽

The Stability

Download Full-text

Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Journal of Computational Physics ◽

10.1006/jcph.1994.1057 ◽

1994 ◽

Vol 111 (2) ◽

pp. 220-236 ◽

Cited By ~ 414

Author(s):

Mark H. Carpenter ◽

David Gottlieb ◽

Saul Abarbanel

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Hyperbolic Systems ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Schemes ◽

Systems Methodology ◽

Stable Boundary

Download Full-text