![]() ![]() Symplectic Methods for Integrating Hamiltonian systems.Wright, "Numerical Optimization" (Chapters 2, 3, 4, 5) Nonlinear conjugate gradient methods (Fletcher - Reeves, Polak - Ribiere).Trust region methods (Newton's, BFGS, SR1).Line search methods (steepest descend, Newton's, BFGS, SR1).Stewart, Afternotes on numerical analysis, SIAM 1996 (Lecture 5, Hybrid Method) Wright, "Numerical Optimization" (Chapter 11) LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM 2007, ( freely available online via the UMD library), Chapter 9, Chapter 10, Appendix E Demmel "Applied Numerical Linear Algebra" Bindel and Goodman, Principles of scientific computing, Chapter 4 and 5.Stewart, Afternotes on numerical analysis, SIAM 1996 (Lecture 7) Bindel and Goodman, Principles of scientific computing (Chapter 2).AMSC/CMSC 660: Scientific Computing I HW collection (HWs 1 - 12) Codes for HW collections: bisection.m, hybrid.m, LJ7findmin.m, LJ7_NonlinCG_random_initial_conf.m, cat.txt, symplectic_demo.m Final Exam Syllabus Introduction: Computer Arithmetic and Errors ![]()
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