Numerical stability in solution of ordinary differential equations. (English) Zbl 0207.16405


65L07 Numerical investigation of stability of solutions to ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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[1] I. Babuška M. Práger E. Vitásek: Numerical Processes in Differential Equations. Interscience Publishers, 1966. · Zbl 0156.16003
[2] I. Babuška: Problems of Minimization and Numerical Stability in Computations. Liblice 1967.
[3] G. Dahlquist: Convergence and Stability in the Numerical Integration of Ordinary Differential Equations. Math. Scand., 2 (1954), 91-102. · Zbl 0055.35801
[4] G. Dahlquist: Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations. Trans. Royal Inst. of Techn., Stockholm, 130 (1959). · Zbl 0085.33401
[5] R. E. Scraton: The Numerical Solution of Second-Order Differential Equations Not Containing the First Derivative Explicitly. Comp. J., 6 (1964), 368-370. · Zbl 0119.12303 · doi:10.1093/comjnl/6.4.368
[6] L. Collatz: The Numerical Treatment of Differential Equations. Springer Verlag Berlin, 1960. · Zbl 0086.32601
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