Solution of nonlinear problems in applied sciences by generalized collocation methods and mathematica

Computers and Mathematics with Applications

Volumn 41, Issue 10-11, 2001, Pages 1343-1363

  Bellomo, N ^a   De Angelis, E ^a   Graziano, L ^b   Romano, A ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Collocation; Evolution equations; Interpolation; Nonlinear problems; Nonlinear sciences; Sinc functions; Spectral methods

Indexed keywords

INITIAL VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

GENERALIZED COLLOCATION METHODS; NONLINEAR PROBLEMS;

NONLINEAR EQUATIONS;

EID: 0035341579     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00101-8     Document Type: Article

References (35)

1. Casti Differential quadrature and long term integration
2. Differential quadrature: Solution of nonlinear partial differential equations
3. Differential quadrature method in computational mechanics
4. Nonlinear models and problems in applied sciences: From differential quadrature to generalized collocation methods
5. A new explicit method for the solution of parabolic differential equations
6. Stochastic partial differential equations in continuum physics
7. Nonlinear bending analysis for orthotropic rectangular plates by the method of differential quadrature
8. A nonlinear inverse phase transition problem for the heat equation
9. Time evolution of random fields in stochastic continuum mechanics
10. Static and free vibrational analysis of beam and plates by the method of differential quadrature
11. Numerical methods based on Whittaker cardinal or Sinc functions
12. Solution of nonlinear initial-boundary value problems by Sinc collocation-interpolation methods
13. Discretization of nonlinear models by Sine colloca- tion-interpolation methods
14. Solution of nonlinear evolution problems by parallelized collocation interpolation methods
15. Invariant difference schemes for parabolic equations with transformation of the independent variables
16. Adaptative finite element methods for reactive compressible flow
17. A posteriori error estimates for the finite element method of lines solution of parabolic equations
18. On particles weighted methods and smooth particle hydrodynamics
19. The nonlinear Galerkin method applied to shallow water equations
20. Quasi trefftz spectral method for stokes problem
21. Mathematical models for vehicular traffic
22. Micro- and macro-simulation of freeway traffic
23. Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
24. Wavelets on the interval with optimal localization