Modeling Stiff Hybrid Systems of High Dimension in ISMA

Yu.V. Shornikov, E.A. Novikov, M.S. Denisov, I.N. Tomilov, and D.N. Dostovalov (Russia)


Hybrid systems, stiff and high dimension ODE system, stability control, (m,k)-methods.


Special algorithms for solving Cauchy stiff problems of high dimensions are suggested. These algorithms are based on explicit schemes with stability control and semi-explicit (m,k)-methods with the possibility of freezing and numerical approximation of Jacobi matrix. The comparative analysis of methods suggested is performed on ODE systems of high dimensions.

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