Keywords
- Wave Equation
- Heat Equation
- Finite Difference Scheme
- Stable Scheme
- Solution Operator
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References
Brenner, P.; 1966, Math. Scand., V.19, 27–37.
Courant, R., Friedrichs, K. and Lewy, H.; 1928, Math. Annal., V.100, 32–74 also; 1967, IBM J. of Research and Development, V.11, 213–247.
Dahlquist, G.; 1956, Math. Scand., V.4, 33–53.
Dahlquist, G.; 1963, Proc. Sympos. Appl. Math., V.15, 147–158.
Friedman, A.; 1964, Partial Differential Equations of Parabolic Type. Prentice-Hall.
Garabedian, P.; 1964, Partial Differential Equations. Wiley.
Gelfand, I.M., Shilov, G.E., 1967, Generalized Functions, V.3 Academic Press.
Hadamard, J.; 1921, Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press.
Johansson, O., Kreiss, H.O.; 1963, BIT, V.3, 97–107.
John, F.; 1952, Comm. Pure. Appl. Math., V.5, 155–211.
Kreiss, H.O.; 1959, Math. Scand., V.7 71–80.
Kreiss, H.O.; 1962, BIT, V.2, 153–181
Kreiss, H.O.; 1963, Math. Scand., V.13, 109–128.
Kreiss, H.O.; 1963, Numer. Math., V.5, 27–77.
Kreiss, H.O., Widlund, O.; 1967, Report, Computer Science Department, Uppsala, Sweden.
Lax, P.D.; 1957, Duke Math. J., V.24
Lax, P.D.; 1963, Lectures on hyperbolic partial differential equations, Stanford University (lecture notes).
Littman, W.; 1963, J. Math. Mech., V.12, 55–68.
Richtmyer, R.D.; 1957, Difference methods for initial-value problems. Wiley Interscience.
Richtmyer, R.D., Morton, K.W.; 1967, Difference methods for initial-value problems. 2nd Edition Wiley Interscience.
Strang, W.G.; 1960, Duke Math. J., V.27, 221–231.
Strang, W.G.; 1966, J. Diff. Eq., V.2, 107–114.
Strang, W.G.; 1968, SIAM J. Numer. Anal., V.5, 506–617.
Thomée, V.; 1962, J. SIAM, V.10, 229–245.
Thomée, V.; 1969, SIAM Review, V.11, 152–195.
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© 1971 Springer-Verlag
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Widlund, O. (1971). Introduction to finite difference approximations to initial value problems for partial differential equations. In: Morris, J.L. (eds) Symposium on the Theory of Numerical Analysis. Lecture Notes in Mathematics, vol 193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060345
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DOI: https://doi.org/10.1007/BFb0060345
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