A multistep formulation of the optimized Lax-Wendroff method for nonlinear hyperbolic systems in two space variables

Authors:
A. R. Gourlay and J. Ll. Morris

Journal:
Math. Comp. **22** (1968), 715-719

MSC:
Primary 65.67

MathSciNet review:
0251931

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References | Similar Articles | Additional Information

**[1]**Samuel Z. Burstein,*Numerical methods in multidimensional shocked flows*, AIAA J.**2**(1964), 2111–2117. MR**0180067****[2]**S. Z. Burstein, "Finite difference calculations for hydrodynamic flows containing discontinuities,"*J. Computational Phys.*, v. 1, 1966, pp. 198-222.**[3]**A. R. Gourlay and J. Ll. Morris,*Finite difference methods for nonlinear hyperbolic systems*, Math. Comp.**22**(1968), 28–39. MR**0223114**, 10.1090/S0025-5718-1968-0223114-8**[4]**Peter D. Lax and Burton Wendroff,*Difference schemes for hyperbolic equations with high order of accuracy*, Comm. Pure Appl. Math.**17**(1964), 381–398. MR**0170484****[5]**R. D. Richtmyer,*A Survey of Difference Methods for Non-Steady Fluid Dynamics*, N.C.A.R. Tech. Notes 63--2, 1963.**[6]**Gilbert Strang,*Accurate partial difference methods. I. Linear Cauchy problems*, Arch. Rational Mech. Anal.**12**(1963), 392–402. MR**0146970****[7]**Gilbert Strang,*Accurate partial difference methods. II. Non-linear problems*, Numer. Math.**6**(1964), 37–46. MR**0166942****[8]**H. V. Thommen,*A Method for the Numerical Solution of the Complete Navier-Stokes Equations for Steady Flows*, General Dynamics/Astronautics GDC-ERR-AN 733, April 1965.

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DOI:
https://doi.org/10.1090/S0025-5718-1968-0251931-7

Article copyright:
© Copyright 1968
American Mathematical Society