Rouben Rostamian is a Professor of Mathematics at University of Maryland, Baltimore County (UMBC), where he has been since 1985. Over the years he has served as Department Chair at UMBC and as Program Director of the Applied Mathematics Program at the National Science Foundation. He has published numerous articles on the analysis of linear and nonlinear partial differential equations with applications to homogenization, flow in porous media, elasticity, and computational mathematics.
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Description
Chapter interdependencies; Preface; Part I. A Common Background: 1. Introduction; 2. File organization; 3. Streams and the Unix shell; 4. Pointers and arrays; 5. From strings to numbers; 6. Make; Part II. Projects: 7. Allocating memory: xmalloc(); 8. Dynamic memory allocation for vectors and matrices: array.h; 9. Reading lines: fetch_lines(); 10. Generating random numbers; 11. Storing sparse matrices; 12. Sparse systems: the UMFPACK library; 13. Haar wavelets; 14. Image I/O; 15. Image analysis; 16. Linked lists; 17. The evolution of species; 18. The Nelder-Mead downhill simplex; 19. Trusses; 20. Finite difference schemes for the heat equation in one dimension; 21. The porous medium equation; 22. Gaussian quadrature; 23. Triangulation with the Triangle library; 24. Integration on triangles; 25. Finite elements; 26. Finite elements: nonzero boundary data; A. Barycentric coordinates; Bibliography; Index.