Title :
Research on stepsize control in the BDF method for solving differential-algebraic equations
Author :
Zhuang, M. ; Mathis, W.
Author_Institution :
Dept. of Electr. Eng., Wuppertal Univ., Germany
fDate :
30 May-2 Jun 1994
Abstract :
A proportional-integral-differential (PID) stepsize control with variable setpoint and prediction in the backward differentiation formulas (BDF) method is proposed for the numerical solution of stiff and differential-algebraic equation (DAE) problems. General analysis and numerical tests indicate that the stepsize controller improves the properties of the BDF algorithm considerably. The implementation of the proposed stepsize control is simple. The numerical test results of two nonlinear circuits are included
Keywords :
differential equations; differentiation; nonlinear network analysis; BDF algorithm; backward differentiation formulas; differential-algebraic equation; nonlinear circuits; numerical method; proportional-integral-differential stepsize control; stiff equation; Circuit testing; Control systems; Differential algebraic equations; Differential equations; Error correction; Error correction codes; Nonlinear equations; Pi control; Proportional control; Three-term control;
Conference_Titel :
Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on
Conference_Location :
London
Print_ISBN :
0-7803-1915-X
DOI :
10.1109/ISCAS.1994.409346
