On Runge-Kutta methods for parabolic problems with time-dependent coefficients
DOI: 10.2307/2008083
关键词:
摘要: Analyse des approximations completement discretes de Galerkin pour les equations paraboliques a coefficients dependant du temps. Utilisation methodes Runge-Kutta implicites
ams.org
jstor.org
sci-hub.se 参考文章(15)
Owe Axelsson, Solution of linear systems of equations: Iterative methods Springer Berlin Heidelberg. pp. 1- 51 ,(1977) , 10.1007/BFB0116614
Jacques Louis Lions, Enrico Magenes, Non-homogeneous boundary value problems and applications ,(1972)
J. C. Butcher, A stability property of implicit Runge-Kutta methods Bit Numerical Mathematics. ,vol. 15, pp. 358- 361 ,(1975) , 10.1007/BF01931672
S. P. Nørsett, G. Wanner, The real-pole sandwich for rational approximations and oscillation equations Bit Numerical Mathematics. ,vol. 19, pp. 79- 94 ,(1979) , 10.1007/BF01931224
Jim Douglas, Jr., Todd Dupont, Richard E. Ewing, Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem SIAM Journal on Numerical Analysis. ,vol. 16, pp. 503- 522 ,(1979) , 10.1137/0716039
James H. Bramble, Peter H. Sammon, Efficient Higher Order Single Step Methods for Parabolic Problems. Part I. Mathematics of Computation. ,vol. 35, pp. 655- 677 ,(1980) , 10.1090/S0025-5718-1980-0572848-X
J. C. Butcher, On the implementation of implicit Runge-Kutta methods Bit Numerical Mathematics. ,vol. 16, pp. 237- 240 ,(1976) , 10.1007/BF01932265
J. C. Butcher, Implicit Runge-Kutta processes Mathematics of Computation. ,vol. 18, pp. 50- 64 ,(1964) , 10.1090/S0025-5718-1964-0159424-9
Laurence A. Bales, Semidiscrete and single step fully discrete approximations for second order hyperbolic equations with time-dependent coefficients Mathematics of Computation. ,vol. 43, pp. 383- 414 ,(1984) , 10.1090/S0025-5718-1984-0758190-6
Garth A. Baker, James H. Bramble, Vidar Thom{ée, Single step Galerkin approximations for parabolic problems Mathematics of Computation. ,vol. 31, pp. 818- 847 ,(1977) , 10.1090/S0025-5718-1977-0448947-X