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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On difference approximations with wrong boundary values
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by Heinz-Otto Kreiss and Einar Lundqvist PDF
Math. Comp. 22 (1968), 1-12 Request permission
References
  • Seymour V. Parter, Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem, Numer. Math. 4 (1962), 277–292. MR 148232, DOI 10.1007/BF01386319
  • Peter D. Lax, On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients, Comm. Pure Appl. Math. 14 (1961), 497–520. MR 145686, DOI 10.1002/cpa.3160140324
  • Gilbert Strang, Wiener-Hopf difference equations, J. Math. Mech. 13 (1964), 85–96. MR 0160335
  • Heinz-Otto Kreiss, Difference approximations for the initial-boundary value problem for hyperbolic differential equations, Numerical Solutions of Nonlinear Differential Equations (Proc. Adv. Sympos., Madison, Wis., 1966) John Wiley & Sons, Inc., New York, N.Y., 1966, pp. 141–166. MR 0214305
  • M. Y. T. Apelkranz, "On difference schemes for hyperbolic equations with discontinuous initial values." (To appear.)
  • Herbert B. Keller and Vidar Thomée, Unconditionally stable difference methods for mixed problems for quasi-linear hyperbolic systems in two dimensions, Comm. Pure Appl. Math. 15 (1962), 63–73. MR 158555, DOI 10.1002/cpa.3160150105
  • P. D. Lax and L. Nirenberg, On stability for difference schemes: A sharp form of Gȧrding’s inequality, Comm. Pure Appl. Math. 19 (1966), 473–492. MR 206534, DOI 10.1002/cpa.3160190409
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 1-12
  • MSC: Primary 65.65
  • DOI: https://doi.org/10.1090/S0025-5718-1968-0228193-X
  • MathSciNet review: 0228193