Numerical algorithms for the Camassa-Holm equation and its higher dimensional extensions
Prof. Long LeeDepartment of Mathematics, University of Wyoming 下午 3:00–3:50 鴻經館 107 室We give a brief introduction of the development of the particle algorithms and the dispersion-relation-preserving algorithms for a class of Helmholtz regularization equations. In particular, we focus on the Camassa-Holm equation and the regularized Burgers equation. We will discuss the extensions of the one-dimensional algorithms to solve the Euler-Poincare equations and the regularization-based subgrid-scale turbulence models, which are the higher dimensional extensions of the Camassa-Holm equation.