Energy inequalities for the solution of differential equations
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- by Milton Lees
- Trans. Amer. Math. Soc. 94 (1960), 58-73
- DOI: https://doi.org/10.1090/S0002-9947-1960-0114045-1
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References
- 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
- Jim Douglas Jr., On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations, J. Soc. Indust. Appl. Math. 4 (1956), 20–37. MR 80368
- Jim Douglas Jr., On the errors in analogue solutions of heat conduction problems, Quart. Appl. Math. 14 (1956), 333–335. MR 88805, DOI 10.1090/S0033-569X-1956-88805-1
- K. O. Friedrichs, Symmetric hyperbolic linear differential equations, Comm. Pure Appl. Math. 7 (1954), 345–392. MR 62932, DOI 10.1002/cpa.3160070206 K. O. Friedrichs and H. Lewy, Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lsosungen beim Anfangöwertproblem linearer hyperbolischer Differentialgleichungen, Math. Ann. vol. 98 (1927) pp. 192-204.
- Fritz John, On integration of parabolic equations by difference methods. I. Linear and quasi-linear equations for the infinite interval, Comm. Pure Appl. Math. 5 (1952), 155–211. MR 47885, DOI 10.1002/cpa.3160050203
- 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
- Olga Taussky, A recurring theorem on determinants, Amer. Math. Monthly 56 (1949), 672–676. MR 32557, DOI 10.2307/2305561
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 94 (1960), 58-73
- MSC: Primary 35.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0114045-1
- MathSciNet review: 0114045