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A-stable Runge-Kutta processes. (German) Zbl 0265.65035

##### MSC:
 65L05 Numerical methods for initial value problems
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##### References:
 [1] O. Axelsson,A Class of A-stable Methods, BIT 9 (1969), 185–199. · Zbl 0208.41504 · doi:10.1007/BF01946812 [2] J. C. Butcher,Implicit Runge-Kutta Integration Processes, Math. Comp. 18 (1964). 50–64. · Zbl 0123.11701 · doi:10.1090/S0025-5718-1964-0159424-9 [3] J. C. Butcher,Integration Processes Based on Radau Quadrature Formulas, Math. Comp. 18 (1964), 233–244. · Zbl 0123.11702 · doi:10.1090/S0025-5718-1964-0165693-1 [4] F. H. Chipman,Numerical Solution of Initial Value Problems using A-stable Runge-Kutta Processes, Research Report CSRR 2042, Dept. of AACS, University of Waterloo. [5] G. Dahlquist,A Special Stability Problem for Linear Multistep Methods, BIT 3 (1963), 27–43. · Zbl 0123.11703 · doi:10.1007/BF01963532 [6] B. L. Ehle,On Padé Approximation to the Exponential Function and A-stable Methods for the Numerical Solution of Initial Value Problems, Research Report CSRR 2010, Dept. AACS, University of Waterloo. [7] K. Wright,Some Relationships Between Implicit Runge-Kutta, Collocation and Lanczos $$\tau$$ Methods, and their Stability Properties, BIT 10 (1970), 217–227. · Zbl 0208.41602 · doi:10.1007/BF01936868
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