Wavelet-like collocation method for finite-dimensional reduction of distributed systems

Computers and Chemical Engineering

Volumn 24, Issue 12, 2000, Pages 2687-2703

  Adrover, A ^a   Continillo, G ^b   Crescitelli, S ^c   Giona, M ^a   Russo, L ^c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF SANNIO   (Italy)

^c UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Chaos; Modal reduction; Nonlinear dynamics; Simulation

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; COMPUTER SIMULATION; DIFFUSION IN GASES; FUNCTIONS; INTERPOLATION; MATHEMATICAL MODELS; MODAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS;

INERTIAL MANIFOLD THEORY; WAVELET-LIKE COLLOCATION METHOD;

IGNITION;

ARTICLE; CHEMICAL REACTION; DIFFUSION; MATHEMATICAL ANALYSIS; MODEL; NONLINEAR SYSTEM; REACTION ANALYSIS; TEMPERATURE;

EID: 0034423525     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(00)00621-9     Document Type: Article

References (48)

1. Effect of natural convection on spontaneous combustion of coal stockpiles
2. Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns
3. Two-dimensional spatiotemporal thermal dynamics on nonuniform catalytic surfaces
4. On the numerical simulation of chaotic behavior of some distributedparameter systems
5. Characterization of strange attractors in the autoignition of coal stockpiles
6. Non-linear dynamics of a self-ignited reaction-diffusion system
7. Nonlinear control of diffusion-convection-reaction processes
8. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
9. Mathematical analysis and numerical methods for science and technology
10. AUTO: A software for continuation and bifurcation problems in ordinary differential equations
11. Crisis-induced intermittent bursting in reaction-diffusion chemical systems
12. Construction of inertial manifolds by elliptic regularization
13. On the computation Of inertial manifolds
14. Construction of approximate inertial manifolds using wavelets
15. Alternative approaches to the Karhunen-Loeve decomposition for model reduction and data analysis
16. Crises, sudden changes in chaotic attractors, and transient chaos
17. The Kuramoto-Sivashinsky equation: A bridge between PDEs and dynamical systems
18. Approximate inertial manifolds for the Kuramoto-Sivashinski equation: Analysis and computations
19. Minimal dynamical Systems from PDEs using sobolev eigenfunctions
20. On the dimensions of the compact invariant sets of certain non-linear maps
21. Convergence of the sinc method for fourth-order ordinary differential equation with an application
22. Controlling spatiotemporal patterns on a catalytic wafer
23. A concise proof of the 'geometric' construction of inertial manifolds
24. Finite-dimensional behavior in dissipative partial differential equations
25. Arbitrarily accurate approximate inertial manifolds in fixed dimension
26. Nonlinear Galerkin methods for 3D magnetohydrodynamic equations
27. Inertial manifolds: The non-self-adjoint case
28. Nonlinear Galerkin method using Chebyshev and Legendre polynomials I. The one-dimensional case
29. Chaotic dynamics of coherent structures
30. Trends and perspectives in applied mathematics
31. Optimal low-dimensional dynamical approximations
32. Numerical methods based on Whittaker cardinal, or Sinc functions
33. Inertial manifolds and multigrid methods
34. Applications of inertial manifolds to scientific computing: A new insight in multilevel methods
35. A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
36. A multilevel wavelet collocation method for solving partial differential equations in a finite domain