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Scientific computing with ordinary differential equations. Transl. from the German by Werner C. Rheinboldt. (English) Zbl 1001.65071
Texts in Applied Mathematics. 42. New York, NY: Springer. xix, 485 p. (2002).
Translation of the German original (1994; Zbl 0856.65080)].

MSC:
65L05 Numerical methods for initial value problems
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65L50 Mesh generation, refinement, and adaptive methods for ordinary differential equations
65L80 Numerical methods for differential-algebraic equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
34A34 Nonlinear ordinary differential equations and systems, general theory
34E13 Multiple scale methods for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
Software:
COLNEW; LSODE; NewtonLib; VODE
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