High Order Numerical Methods for Discontinuous or High Gradient Problems.
Abstract
This project is about the design, analysis and application of high order accurate and nonlinearly stable finite difference (including finite volume), finite element and spectral algorithms for computing solutions of partial differential equations which are either discontinuous or with sharp gradients. Algorithm development, theoretical study about stability and convergence of the algorithms, investigation about efficient implementation including parallel implementations, and applications in compressible and incompressible gas dynamics and in semiconductor device simulations, are performed. The achievement strengthens our objective to obtain powerful and reliable high order numerical algorithms and use them to solve problems containing discontinuous solutions, especially those of army interest.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 09, 1998
- Accession Number
- ADA344382
Entities
People
- Chi-Wang Shu
Organizations
- Brown University