Bulletin of the American Mathematical Society

MathSciNet review: 1567211
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Book Information:

Author: R. Ansorge
Title: Differenzenapproximationen partieller Anfangswertaufgaben
Additional book information: Leitfäden der angewandten Mathematik und Mechanik (LAMM), Volume 45, B. G. Teubner, Stuttgart, 1978, 298 pp., DM 29.80.

R. Courant, K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann. 100 (1928), no. 1, 32–74 (German). MR 1512478, DOI 10.1007/BF01448839

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

P. D. Lax and R. D. Richtmyer, Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math. 9 (1956), 267–293. MR 79204, DOI 10.1002/cpa.3160090206

4.

L. F. Richardson, The approximate arithmetic solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam, Philos. Trans. Roy. Soc. London Ser. A 210 (1910), 307-357.

5.

L. F. Richardson, Weather prediction by numerical process, Cambridge Univ. Press, 1922, 236 pp.

Robert D. Richtmyer and K. W. Morton, Difference methods for initial-value problems, 2nd ed., Interscience Tracts in Pure and Applied Mathematics, No. 4, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1967. MR 0220455

1.

R. Courant, K. Friedrichs, and H. Lewy, Über die partiellen Differenzengleichungen der mathematischen Physik, Math. Ann. 100 (1928), 32-74. MR 1512478

2.

G. E. Forsythe and W. Wasow, Finite difference methods for partial differential equations, Wiley, New York, 1960, 444 pp. MR 130124

3.

P. D. Lax and R. D. Richtmyer, Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math. 9 (1956), 267-293. MR 79204

4.

L. F. Richardson, The approximate arithmetic solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam, Philos. Trans. Roy. Soc. London Ser. A 210 (1910), 307-357.

5.

L. F. Richardson, Weather prediction by numerical process, Cambridge Univ. Press, 1922, 236 pp.

6.

R. D. Richtmyer and K. W. Morton, Difference methods for initial value problems, Interscience-Wiley, New York, 1967, 405 pp. MR 220455