Difference schemes for hyperbolic equations with high order of accuracy † Peter D. Lax. Search for more papers by this author. Burton Wendroff. Search for more papers by this author. Peter D. Lax. Search for more papers by this author. Burton Wendroff. Search for more papers by this author. Request PDF On Jan 1, 2005, Peter D. Lax and others published Difference Schemes for Hyperbolic Equations with High Order of Accuracy Find, read and. P. D. Lax & B. Wendroff, Difference Schemes with High Order of Accuracy for Solving Hyperbolic Systems, Report NYO-9759, A.E.C. Computing and Applied Math. Center, New York University, 1962. Robert D. Richtmyer, Difference methods for initial-value problems, Interscience tracts in pure and applied mathematics.

Difference schemes for hyperbolic equations with high order of accuracy. Peter D. Lax; Burton Wendroff;. Compared with the high-order finite-difference scheme using the same new stencil.

Abstract: An explicit algorithm that yields finite difference schemes of aly desired order of accuracy for solving quasi-linear hyperbolic systems of partial differential equations in several space dimensions is presented. These schemes are shown to be stable under certain conditions. Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws. Authors:. Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 1965. Peter Lax and Burton Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 1960. Some remarks on the Lax-Wendroff finite-difference scheme for nonsymmetric hyperbolic systems. Author: Masaya Yamaguti. Peter D. Lax and Burton Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Comm. Pure Appl. Math. 17 1964. hyperbolic system 1.1.6 reduces to a set of independent scalar hyperbolic equations. If B is not zero, then in general the resulting system of equations is coupled together, but only in the undifferentiated terms. The effect of the lower order term, Bu,is to cause. The scheme is of second-order accuracy and requires knowledge of only seven mesh points. A stability condition is obtained and is utilized in numerical computations. Peter D. Lax and Burton Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Comm. Pure Appl. Math. 17 1964, 381–398.

Jun 15, 2012 · Ashyralyev, A., Sobolevskii, P.E.: Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Discrete Dynamics Nature and Society 21, 183–213 2005 MathSciNet CrossRef Google Scholar. Two explicit finite difference schemes of fourth order accuracy in space and time are presented for the numerical solution of quasi-linear divergence free one dimensional hyperbolic systems. Both.

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