Waveform relaxation of nonlinear second-order differential equations

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 48, Issue 11, 2001, Pages 1344-1347

  Jiang, Yao Lin ^a,b   Chen, Richard M M ^b   Wing, Omar ^c  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Circuit simulation; Parallel processing; Second order differential equations; Waveform relaxation

Indexed keywords

EULER METHOD; SECOND-ORDER DIFFERENTIAL EQUATIONS; VAN DER POL COEFFICIENT; WAVEFORM RELAXATION;

ALGORITHMS; INTEGRATION; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; THEOREM PROVING;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0035507442     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.964425     Document Type: Article

References (12)

1. The waveform relaxation method for time-domain analysis of large scale integrated circuits
2. Parallel implementation of dynamic equations for solving eigenvalue problems of complex matrices
3. Waveform iteration and the shifted picard splitting
4. Convergence of dynamic iteration methods for initial value problems
5. Convergence-theoretics of classical and Krylov waveform relaxation methods for differential-algebraic equations
6. Convergence properties of waveform relaxation circuit simulation methods
7. Convergence analysis of waveform relaxation for nonlinear differential-algebraic equations of index one
8. Space-time continuous analysis of waveform relaxation for the heat equation
9. Acceleration of convergence of waveform relaxation iterations for second order linear system