A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain

Journal Article · Wed May 01 00:00:00 EDT 1996 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1996.0111· OSTI ID:274255

Valilyev, O V; Paolucci, S ^[1]

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1. Univ. of Notre Dame, IN (United States)

A dynamically adaptive multilevel structure of the algorithm provides a simple way to adapt computational refinements to local demands of the solution. High resolution computations are performed only in regions where sharp transitions occur. The scheme handles general boundary conditions. The method is applied to the solution of the one-dimensional Burgers equation with small viscosity, a moving shock problem, and a nonlinear thermoacoustic wave problem. The results indicate that the method is very accurate and efficient. 16 refs., 9 figs., 2 tab.

• Sponsoring Organization: USDOE
• OSTI ID: 274255
• Journal Information: Journal of Computational Physics, Vol. 125, Issue 2; Other Information: PBD: May 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
SOUND WAVES
SHOCK WAVES
INTERPOLATION