On certain finite difference schemes for hyperbolic systems

Author:
John Gary

Journal:
Math. Comp. **18** (1964), 1-18

MSC:
Primary 65.67

MathSciNet review:
0158553

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References | Similar Articles | Additional Information

**[1]**R. Courant and K. O. Friedrichs,*Supersonic Flow and Shock Waves*, Interscience Publishers, Inc., New York, N. Y., 1948. MR**0029615****[2]**George E. Forsythe and Wolfgang R. Wasow,*Finite-difference methods for partial differential equations*, Applied Mathematics Series, John Wiley & Sons, Inc., New York-London, 1960. MR**0130124****[3]**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.**[4]**Robert D. Richtmyer,*Difference methods for initial-value problems*, Interscience tracts in pure and applied mathematics. Iract 4, Interscience Publishers, Inc., New. York, 1957. MR**0093918****[5]**Samuel Schechter,*Quasi-tridiagonal matrices and type-insensitive difference equations.*, Quart. Appl. Math.**18**(1960/1961), 285–295. MR**0114309****[6]**Peter Lax and Burton Wendroff,*Systems of conservation laws*, Comm. Pure Appl. Math.**13**(1960), 217–237. MR**0120774****[7]**Peter D. Lax,*Weak solutions of nonlinear hyperbolic equations and their numerical computation*, Comm. Pure Appl. Math.**7**(1954), 159–193. MR**0066040****[8]**L. Filler and H. F. Ludloff,*Stability analysis and integration of the viscous equations of motion.*, Math. Comp.**15**(1961), 261–274. MR**0129556**, 10.1090/S0025-5718-1961-0129556-7**[9]**Samuel Z. Burstein, Peter D. Lax, and Gary A. Sod (eds.),*Lectures on combustion theory*, New York University, Courant Mathematics and Computing Laboratory, New York, 1978. Lectures given in a Seminar held during spring semester at the Courant Institute, New York University, New York, 1977. MR**522091****[10]**Jim Douglas Jr. and B. F. Jones Jr.,*On predictor-corrector methods for nonlinear parabolic differential equations*, J. Soc. Indust. Appl. Math.**11**(1963), 195–204. MR**0153123**

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1964-0158553-3

Article copyright:
© Copyright 1964
American Mathematical Society