Finite-difference methods for one-dimensional hyperbolic conservation laws

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100207 ◽

1994 ◽

Vol 10 (2) ◽

pp. 225-269 ◽

Author(s):

A. C. Berkenbosch ◽

E. F. Kaasschieter ◽

J. H. M. ten Thije Boonkkamp

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Finite Difference Methods ◽

One Dimensional ◽

Hyperbolic Conservation ◽

Difference Methods

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The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299529347x ◽

1997 ◽

Vol 34 (6) ◽

pp. 2306-2318 ◽

Author(s):

Florin Sabac

Keyword(s):

Finite Difference ◽

Convergence Rate ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Finite Difference Methods ◽

Optimal Convergence Rate ◽

Hyperbolic Conservation ◽

Optimal Convergence ◽

Difference Methods

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A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/0021-9991(78)90023-2 ◽

1978 ◽

Vol 27 (1) ◽

pp. 1-31 ◽

Cited By ~ 1525

Author(s):

Gary A Sod

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Finite Difference Methods ◽

Hyperbolic Conservation ◽

Difference Methods ◽

Nonlinear Hyperbolic Conservation Laws

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Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation

10.1063/1.5114131 ◽

2019 ◽

Author(s):

Gianluca Frasca-Caccia

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Kdv Equation ◽

Finite Difference Methods ◽

Local Conservation ◽

Modified Kdv Equation ◽

Difference Methods

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Numerical solution of the one-dimensional Burgers’ equation: Implicit and fully implicit exponential finite difference methods

Pramana ◽

10.1007/s12043-013-0599-z ◽

2013 ◽

Vol 81 (4) ◽

pp. 547-556 ◽

Author(s):

BILGE INAN ◽

AHMET REFIK BAHADIR

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Burgers Equation ◽

Finite Difference Methods ◽

One Dimensional ◽

Fully Implicit ◽

Difference Methods ◽

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Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws

Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) ◽

10.1515/9781400827794.43 ◽

2009 ◽

pp. 43-54

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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FINITE-DIFFERENCE METHODS FOR ONE-DIMENSIONAL UNSTEADY FLOW

Numerical Solution of Ordinary and Partial Differential Equations ◽

10.1016/b978-0-08-009660-5.50030-0 ◽

1962 ◽

pp. 339-365 ◽

Author(s):

L. FOX

Keyword(s):

Finite Difference ◽

Unsteady Flow ◽

Finite Difference Methods ◽

One Dimensional ◽

Difference Methods

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Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.023 ◽

2006 ◽

Vol 182 (1) ◽

pp. 607-609 ◽

Author(s):

J.I. Ramos

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Damping Characteristics ◽

Difference Methods

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Comparison Studies on the Method of Characteristics and Finite Difference Methods for One-Dimensional Gas Flow through IC Engine Manifold

10.4271/960078 ◽

1996 ◽

Author(s):

Jingping Liu ◽

Norbert Schorn ◽

Christof Schernus ◽

Lixin Peng

Keyword(s):

Finite Difference ◽

Gas Flow ◽

Method Of Characteristics ◽

Finite Difference Methods ◽

Ic Engine ◽

One Dimensional ◽

The Method Of Characteristics ◽

Flow Through ◽

Difference Methods

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Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey’s Boxplot Method

Journal of Scientific Computing ◽

10.1007/s10915-017-0465-0 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 736-752 ◽

Author(s):

Zhen Gao ◽

Xiao Wen ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Multi Resolution Analysis ◽

Resolution Analysis

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A high order approximation of hyperbolic conservation laws in networks: Application to one-dimensional blood flow

Journal of Computational Physics ◽

10.1016/j.jcp.2015.07.056 ◽

2015 ◽

Vol 300 ◽

pp. 423-437 ◽

Author(s):

Lucas O. Müller ◽

Pablo J. Blanco

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Order Approximation ◽

High Order Approximation ◽

One Dimensional ◽

Hyperbolic Conservation

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