Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

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HARDWARE-DIRECTED METHODS OF ODE NUMERIC INTEGRATION

Butusov D.N. 1 Karimov A.I. 1 Karimov T.I. 1 Dolgushin G.K. 1
1 Saint-Petersburg State Electrotechnical University
The article describes a family of new modifications of the serial ordinary differential equations integration method. This new methods are very suitable for hardware implementation in parallel computing systems. The description is given for the higher order serial methods, based on Richardson extrapolation rule. New accuracy correction, based on Taylor series, is introduced. Analysis of the numeric efficiency and accuracy for new ODE integration methods is performed, based on numerous series of computer experiments. Possible performance growth for the new ordinary differential equations solver comparing to the well-known recurrent solvers, based on the implicit Runge - Kutta methods, is shown.