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math.NA2010★ 7 cited
A numeric-analytical method for solving the Cauchy problem for ordinary differential equations
Volodymyr Makarov, Denis Dragunov
In the paper we offer a functional-discrete method for solving the Cauchy problem for the first order ordinary differential equations (ODEs). This method (FD-method) is in some sen…
math.NA2010
Approximate solution to abstract differential equations with variable domain
T. Ju. Bohonova, I. P. Gavrilyuk, V. L. Makarov +1
A new exponentially convergent algorithm is proposed for an abstract the first order differential equation with unbounded operator coefficient possessing a variable domain. The alg…