Differential quadrature domain decomposition method for a class of parabolic equations

Computers and Mathematics with Applications

Volumn 48, Issue 12, 2004, Pages 1819-1832

  Xionghua, Wu ^a   Shen, Ye ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

Boundary reduction; Differential quadrature; Discontinuity; Domain decomposition; Parabolic equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DECOMPOSITION; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; POLYNOMIALS; PROBLEM SOLVING;

BOUNDARY REDUCTION; DIFFERENTIAL QUADRATURE; DISCONTINUITY; DOMAIN DECOMPOSITION; PARABOLIC EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 15344346085     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.08.008     Document Type: Article

References (14)

1. W. Chen Differential quadrature method and its applications in engineering-applying special matrix product to nonlinear computations Ph.D. Thesis 1996 Shanghai Jiao Tong University New York
2. C.W. Bert, and M. Malik Differential quadrature method in computational mechanics: A review Appl. Mech. Rev. 49 1996 1 28
3. R.E. Bellman, and J. Casti Differential quadrature and long-term integration J. Math. Anal. Appl. 34 1971 235 238
4. F. Civan, and C.M. Sliepcevich Differential quadrature for multi-dimensional problems J. Math. Anal. Appl. 101 1984 423 443
5. C.W. Bert, S.K. Jang, and A.G. Striz Application of differential quadrature to static analysis of structural components Int. J. Numer. Methods Eng. 28 1989 561 577
6. L.S. Kang, and K.J. Evans Strategies of domain decomposition for designing parallel algorithms Proceeding of Parallel Computing 89 1989
7. P. Lancaster, and M. Timenetsky The Theory of Matrices with Applications Second Edition 1985 Academic Press P.R. China
8. W. Paul Derivatives - The Theory and Practice of Financial Engineering 1998 John Wiley and Sons Ltd Orlando, FL
9. D. Davydov, and V. Linetsky Structuring, pricing and hedging double-barrier step options Journal of Computational Finance 5 2001 55 87
10. P. Wilmott, J. Dewynne, and S. Howison Option Pricing: Mathematical Models and Computation 1993 Oxford Financial Press England
11. V. Linetsky Step options Mathematical Finance 9 1999 55 96
12. J.P. Boyd A numerical comparison of seven grids for polynomial interpolation on the interval Computers Math. Applic. 38 3/4 1999 35 50
13. W. Chen, and M. Tanaka A study on time schemes for DRBEM analysis of elastic impact wave Computational Mechanics 28 2002 331 338
14. G.A. Dahlquist Special stability problem for linear multistep methods BIT 3 1963 27 43