Differential equations (DEs) form the basis of very many mathematical models of natural science and engineering. To investigate the predictions of DE models, it is often necessary to approximate their solution numerically. We will introduce three important issues in numerical schemes：convergence, stability, and complexity; and to solve the models of problems arising in the natural science and engineering.

Differential equations (DEs) form the basis of very many mathematical models of natural science and engineering. To investigate the predictions of DE models, it is often necessary to approximately approximate their solution numerical. We will introduce three important issues in numerical schemes:convergence, stability, and complexity; and to solve the models of problems arising in the natural science and engineering.

A few books and papers :
1. Numerical Analysis, R. L. Burden & J. D. Faires, 2005
2. Numerical Analysis of Partial Differential Equations, C. A. Hall & T. A. Porsching, 1990
3. Trefftz and Collocation Methods, Z. C. Li, T. T. Lu, H. Y. Hu & A.H. D. Cheng, 2008
4. Lecture Note on Meshfree Method, J. S. Chen, 2006

A few books and papers :
1. Numerical Analysis, R. L. Burden & J. D. Faires, 2005
2. Numerical Analysis of Partial Differential Equations, C. A. Hall & T. A. Porsching, 1990
3. Trefftz and Collocation Methods, Z. C. Li, T. T. Lu, H. Y. Hu & A. H. D. Cheng, 2008
4. Lecture Note on Meshfree Method, J. S. Chen, 2006