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Informationen zum Autor 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. Graham W. Griffiths is a visiting professor in the School of Engineering and Mathematical Sciences of City University, London, having previously been a senior visiting Fellow. He is also a founder of Special Analysis and Simulation Technology Ltd and has worked extensively in, and researched into, the field of dynamic simulation of chemical processes. Klappentext Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion. Zusammenfassung Explains numerical methods! and associated computer codes in Matlab! for the solution of a spectrum of models expressed as ordinary and partial differential equations. The authors focus on the well-established method of lines! making the code easy to understand! implement! and modify. Inhaltsverzeichnis 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....
