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Unconditionally stable explicit methods for parabolic equations. (English) Zbl 0454.65052


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65L20 Stability and convergence of numerical methods for ordinary differential equations
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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References:

[1] Hindmarsh, A.C., Byrne, G.D.: Applications of EPISODE. In: Numerical methods for differential systems. L. Lapidus, W.E. Schiesser (eds.), New York: Academic Press, 1976
[2] Wambecq, A.: Rational Runge-Kutta method for solving systems of ordinary differential equations. Computing20, 333-342 (1978) · Zbl 0395.65036 · doi:10.1007/BF02252381
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