William E. Schiesser is the Emeritus R. L. McCann Professor of Chemical Engineering and a Professor of Mathematics at Lehigh University. He is also a visiting professor at the University of Pennsylvania and the co-author of the Cambridge book Computational Transport Phenomena.
Inhaltsangabe
1. An introduction to the Method of Lines (MOL) 2. A one-dimensional, linear partial differential equation 3. Green's function analysis 4. Two nonlinear, variable coeffcient, inhomogeneous PDEs 5. Euler, Navier-Stokes and Burgers equations 6. The Cubic Schrödinger Equation (CSE) 7. The Korteweg-deVries (KdV) equation 8. The linear wave equation 9. Maxwell's equations 10. Elliptic PDEs: Laplace's equation 11. Three-dimensional PDE 12. PDE with a mixed partial derivative 13. Simultaneous, nonlinear, 2D PDEs in cylindrical coordinates 14. Diffusion equation in spherical coordinates Appendix 1: partial differential equations from conservation principles: the anisotropic diffusion equation Appendix 2: order conditions for finite difference approximations Appendix 3: analytical solution of nonlinear, traveling wave partial differential equations Appendix 4: implementation of time varying boundary conditions Appendix 5: the DSS library Appendix 6: animating simulation results.
