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- Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Dmitri E. Kvasov, Daniela Lera
- J. Optimization Theory and Applications
- 2016

- Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov
- Advances in Stochastic and Deterministic Global…
- 2016

- Ya. D. Sergeyev, Marat S. Mukhametzhanov, Dmitri E. Kvasov
- 2015

where the function f(x, y) in (1) has an unknown for the user analytical representation, i.e., is a “Black-box” function, very often can be found in practice. In the literature, there exist numerous numerical methods proposed to solve (1) (see, e.g., [1,2,5,6,10]). Usually, the accuracy of methods depends on the value of the integration step h. Since… (More)

- Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov
- Mathematics and Computers in Simulation
- 2017

- Manlio Gaudioso, Giovanni Giallombardo, Marat S. Mukhametzhanov
- Applied Mathematics and Computation
- 2018

- Pierluigi Amodio, Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
- Mathematics and Computers in Simulation
- 2017

- Dmitri E. Kvasov, Marat S. Mukhametzhanov
- Applied Mathematics and Computation
- 2018

New algorithms for the numerical solution of Ordinary Differential Equations (ODEs) with initial condition are proposed. They are designed for work on a new kind of a supercomputer – the Infinity Computer, – that is able to deal numerically with finite, infinite and infinitesimal numbers. Due to this fact, the Infinity Computer allows one to calculate the… (More)

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