ROW methods adapted to electric circuit simulation packages

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:82

Article; Proceedings Paper

Gunther, M ; Hoschek, M

关键词: chip design;    numerical integration of stiff ODEs;    cheap Jacobian information;    ROW methods;    order conditions;    butcher series;    stability;    ring oscillator benchmark circuit;   

DOI  :  10.1016/S0377-0427(97)00043-5

来源: Elsevier

【 摘 要 】

Many packages for time-domain simulation of electric circuits supply the Jacobian with every function evaluation at very low additional costs. We adapt ROW (Rosenbrock-Wanner) methods to use this additional information more efficiently. The order conditions are derived by techniques of Butcher series with special regard to the different stability behaviour of the new class of methods. Numerical results for the ring oscillator benchmark example are discussed for an embedded method of order (3)4 with only three stages and two function/Jacobian evaluations.

【 授权许可】

Free