An additive third order method for solving rigid nonautonomous problems

E. A. Novikov

Institute of Numerical Modeling, SB RAS, Krasnoyarsk

Abstract: We construct an additive method of the third order of accuracy for solving rigid nonautonomous problems. We obtain inequalities for controlling the precision of calculations and stability of the numerical algorithm. We include the results of some simulations.

Keywords: rigid problems, additive method, control of precision and stability.

UDC: 519.622

Received: 04.05.2009

 English version: Journal of Applied and Industrial Mathematics, 2010, 4:4, 539–548

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