Wave-Form Relaxation Techniques For Linear And Nonlinear Diffusion-Equations
Abbreviated Journal Title
J. Comput. Appl. Math.
NONLINEAR DIFFUSION; MULTIRATE BEHAVIOR; SPATIAL BLOCKING; WAVE-FORM; RELAXATION; SIMULATION; Mathematics, Applied
A recent class of multirate numerical algorithms, collectively referred to as waveform relaxation methods, is applied to the one-dimensional diffusion equation. The methods decouple different parts or blocks of the system in the time domain, effectively allowing each block to take the largest time-step consistent with its accuracy requirements. Significant speedup is obtained over the results using a composite Crank-Nicholson/second-order backward Euler time-stepping scheme. Possible implementation strategies for the waveform relaxation schemes to the diffusion equation in two dimensions are considered briefly.
Journal of Computational and Applied Mathematics
"Wave-Form Relaxation Techniques For Linear And Nonlinear Diffusion-Equations" (1992). Faculty Bibliography 1990s. 419.