Haar wavelet approach to linear stiff systems

Mathematics and Computers in Simulation

Volumn 64, Issue 5, 2004, Pages 561-567

  Hsiao, C H ^a  

^a ALETHEIA UNIVERSITY   (Taiwan)

Author keywords

Haar wavelet; Linear; Stiff systems

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ERROR ANALYSIS; INTEGRATION; MATRIX ALGEBRA; PROBLEM SOLVING; RUNGE KUTTA METHODS;

HAAR WAVELETS; STIFF SYSTEMS;

LINEAR SYSTEMS;

EID: 1242276106     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2003.11.011     Document Type: Article

References (17)

1. Alt R., A-stable one-step methods with step-size control for stiff systems of ordinary differential equations. J. Comput. Appl. Math. 4:1978;29-35.
2. Carroll J., A matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems. Comput. Math. Appl. 26:1993;57-64.
3. Chen C.F., Hsiao C.H., Haar wavelet method for solving lumped and distributed-parameter systems. IEE Proc. Pt. D Control Theory Appl. 144:1997;87-94.
4. Chen C.F., Hsiao C.H., Wavelet approach to optimising dynamic systems. IEE Proc. Pt. D Control Theory Appl. 146:1999;213-219.
5. E. Hairer, G. Wanner, Solving ordinary differential equations II, stiff and differential-algebraic problems, Springer-Verlag, New York, 1996.
6. Hsiao C.H., State analysis of linear time delayed systems via Haar wavelets. Math. Comput. Simul. 44:1997;457-470.
7. Hsiao C.H., Wang W.J., State analysis and optimal control of linear time-varying systems via Haar wavelets. Optimal Control Appl. Methods. 19:1998;423-433.
8. Hsiao C.H., Wang W.J., Optimal control of linear time-varying systems via Haar wavelets. J. Optim. Theory Appl. 103:1999;641-655.
9. Hsiao C.H., Wang W.J., State analysis of time-varying singular nonlinear systems via Haar wavelets. Math. Comput. Simul. 51:1999;91-100.
10. Hsiao C.H., Wang W.J., State analysis of time-varying singular bilinear systems via Haar wavelets. Math. Comput. Simul. 52:2000;11-20.
11. Hsiao C.H., Wang W.J., State analysis and parameter estimation of bilinear systems via Haar wavelets. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 47:2000;246-250.
12. L. Lapidus, W.E. Schiesser, Numerical Methods for Differential Systems, Academic Press, New York, 1976.
13. Pavlov B.V., Rodionova O.E., The method of local linearization in the numerical solution of stiff systems of ordinary differential equations. Comput. Math. Math. Phys. 27:1987;30-41.
14. Pavlov B.V., Rodionova O.E., Numerical solution of systems of linear ordinary differential equations with constant coefficients. Comput. Math. Math. Phys. 34:1994;535-539.
15. Rao G.P., Palanisamy K.R., Srinivasan T., Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems. IEEE Trans. Automat. Control. 25:1980;317-319.
16. Regalia P.A., Mitra S.K., Kronecker products, unitary matrices and signal processing applications. SIAM Rev. 31:1989;586-613.
17. H.H. Rosenbrock, C. Storey, Computational Techniques for Chemical Engineers, Pergamon Press, New York, 1966.