Solution of nonlinear evolution problems by parallelized collocation-interpolation methods

Computers and Mathematics with Applications

Volumn 34, Issue 12, 1997, Pages 71-79

  Bonzani, I ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Collocation; Evolution equations; Interpolation; Nonlinear problems; Parallelization

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; INTERPOLATION; PROBLEM SOLVING;

NONLINEAR EVOLUTION PROBLEMS; PARALLELIZED COLLOCATION INTERPOLATION METHODS;

NONLINEAR EQUATIONS;

EID: 0031341247     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(97)00235-6     Document Type: Article

References (10)

1. N. Bellomo and L. Preziosi, Modelling, Mathematical Methods and Scientific Computation, CRC Press, Boca Raton, FL, (1995).
2. R. Bellman, B. Kashef and J. Casti, Differential quadrature: Solution of nonlinear partial differential equations, J. Comp. Phys. 10, 40-52, (1972).
3. A. Satofuka, A new explicit method for the solution of parabolic differential equations, In Numerical Methodologies and Properties in Heat Transfer, pp. 97-108, Hemisphere, New York, (1983).
4. F. Stenger, Numerical methods based on Wittaker cardinal or Sinc functions, SIAM Review 23, 165-224, (1983).
5. F. Stenger, Numerical Methods Based on Sinc and Analytic Functions, Springer, Berlin, (1993).
6. J. Lund and K. Bowers, Sinc Methods, SIAM, Philadelphia, PA, (1992).
7. N. Bellomo and L. Ridolfi, Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods, Computers Math. Applic. 29 (4), 15-28, (1995).
8. E. Longo, G. Teppati and N. Bellomo, Discretization of nonlinear models by sinc collocation-interpolation methods, Computers. Math. Applic. 32 (4), 65-81, (1996).
9. C. Bert and M. Malik, Differential quadrature method in computational mechanics: A review, ASME 49 (1), 1-27, (1996).
10. L. Preziosi and L. de Socio, Nonlinear inverse phase transition problems for the nonlinear heat equation, Math. Models and Meth. in Appl. Sciences 1, 167-183, (1991).