Systems of difference equations with general homogeneous boundary conditions
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- by Stanley Osher PDF
- Trans. Amer. Math. Soc. 137 (1969), 177-201 Request permission
References
- 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
- Gilbert Strang, Wiener-Hopf difference equations, J. Math. Mech. 13 (1964), 85–96. MR 0160335
- Gilbert Strang, Implicit difference methods for initial-boundary value problems, J. Math. Anal. Appl. 16 (1966), 188–198. MR 205496, DOI 10.1016/0022-247X(66)90196-X
- I. C. Gohberg and M. G. Kreĭn, Systems of integral equations on a half line with kernels depending on the difference of arguments, Amer. Math. Soc. Transl. (2) 14 (1960), 217–287. MR 0113114, DOI 10.1090/trans2/014/09 R. D. Richtmyer, The stability criterion of Godunov and Ryabenkiĭ for difference schemes, A.E.C. Research and Development Report NYO-1480-4, 1964.
- Peter D. Lax and Burton Wendroff, On the stability of difference schemes, Comm. Pure Appl. Math. 15 (1962), 363–371. MR 154427, DOI 10.1002/cpa.3160150401
- Robert D. Richtmyer, Difference methods for initial-value problems, Interscience Tracts in Pure and Applied Mathematics, Tract 4, Interscience Publishers, Inc., New York, 1957. MR 0093918
- S. K. Godunov and V. S. Rjaben′kiĭ, Spectral criteria for the stability of boundary-value problems for non-selfadjoint difference equations, Uspehi Mat. Nauk 18 (1963), no. 3 (111), 3–14 (Russian). MR 0161052
- S. K. Godunov and V. S. Rjaben′kiĭ, Canonical forms of systems of linear ordinary difference equations with constant coefficients, Ž. Vyčisl. Mat i Mat. Fiz. 3 (1963), 211–222 (Russian). MR 155114 —, Theory of difference schemes, an introduction, North-Holland, Amsterdam, 1964. N. Dunford and J. T. Schwartz, Linear operators, Part 1, Interscience, New York, 1958. S. J. Osher, Systems of difference equations with general homogeneous boundary conditions, Brookhaven National Laboratory Report, BNL 11246, 1967. —, Stability of mixed implicit difference schemes, Brookhaven National Laboratory Report, BNL 11784, 1967.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 137 (1969), 177-201
- MSC: Primary 39.20
- DOI: https://doi.org/10.1090/S0002-9947-1969-0237982-4
- MathSciNet review: 0237982