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

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

MathSciNet review:
0251931

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References | Similar Articles | Additional Information

**[1]**S. Z. Burstein, "Numerical calculations of multidimensional shocked flows,"*AIAA J.*, v. 2, 1964, pp. 2111-2117. MR**31**#4304. MR**0180067 (31:4304)****[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 & J. Ll. Morris, "Finite-difference methods for nonlinear hyperbolic systems,"*Math. Comp.*, v. 22, 1968, pp. 28-39. MR**0223114 (36:6163)****[4]**P. D. Lax & B. Wendroff, "Difference schemes for hyperbolic equations with high order of accuracy,"*Comm. Pure Appl. Math.*, v. 17, 1964, pp. 381-398. MR**30**#722. MR**0170484 (30:722)****[5]**R. D. Richtmyer,*A Survey of Difference Methods for Non-Steady Fluid Dynamics*, N.C.A.R. Tech. Notes 63--2, 1963.**[6]**W. G. Strang, "Accurate partial difference methods. I: Linear Cauchy problems,"*Arch. Rational Mech. Anal.*, v. 12, 1963, pp. 392-402. MR**26**#4489. MR**0146970 (26:4489)****[7]**W. G. Strang, "Accurate partial difference methods. II: Nonlinear problems,"*Numer. Math.*, v. 6, 1964, pp. 37-46. MR**29**#4215. MR**0166942 (29:4215)****[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