mplementation solve blackboard homework understan Kernel-free writing plus problems by grading boundary method homework ntegral method demonstration computer lectured mplementation solve blackboard homework understand Finite volume writing plus problems by he method fo hand and method homework hyperbolic PDEs demonstration lectured implementation solve blackboard Total variation writing plus problems by grading diminishing computer hand and schemes demonstration lectured mplementation 考核方式 (Assessment seven homework assignment and one semester project methods and Grading 1. Finite difference schemes for PDEs, John Striwerda, SIAM 2004 2. Numerical solution of PDEs, Morton and Mayers, Cambridge 2005 教材或参考资料 3. Finite elements: theory, fast solvers and applications in solid mechanics, Dietrich Braess, Cambridge 2007. Other Reading 4. Iterative methods for sparse linear systems, Yousef Saad, SIAM 2003. Materials) 5. Selected topics in finite element methods, Z. Chen and H. Wu Beijing, 2010 6. The numerical solution of integral equations of the second kind, K. E. Atkinson, Cambridge 1997. 备注 (Notes)implementation Kernel-free boundary integral method 2 blackboard writing plus computer demonstration solve homework problems by hand and computer implementation understand the method lectured grading homework Finite volume method for hyperbolic PDEs 3 blackboard writing plus computer demonstration solve homework problems by hand and computer implementation understand the method lectured grading homework Total variation diminishing schemes 2 blackboard writing plus computer demonstration solve homework problems by hand and computer implementation understand the method lectured grading homework 考核方式 (Assessment methods and Grading) seven homework assignment and one semester project 教材或参考资料 (Textbooks & Other Reading Materials) 1. Finite difference schemes for PDEs, John Striwerda, SIAM 2004. 2. Numerical solution of PDEs, Morton and Mayers, Cambridge 2005. 3. Finite elements: theory, fast solvers and applications in solid mechanics, Dietrich Braess, Cambridge 2007. 4. Iterative methods for sparse linear systems, Yousef Saad, SIAM 2003. 5. Selected topics in finite element methods, Z. Chen and H. Wu, Beijing, 2010. 6. The numerical solution of integral equations of the second kind, K. E. Atkinson, Cambridge 1997. 备注 （Notes）