Hairer, E. Unconditionally stable explicit methods for parabolic equations. (English) Zbl 0454.65052 Numer. Math. 35, 57-68 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 27 Documents 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 Keywords:unconditionally stable explicit methods; rational Runge-Kutta methods; stiff differential equations; stability regions; error control; numerical results PDFBibTeX XMLCite \textit{E. Hairer}, Numer. Math. 35, 57--68 (1980; Zbl 0454.65052) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.