登入選單

返回Google圖書搜尋

The Application of Sparse Matrix Methods to the Numerical Solution of Nonlinear Elliptic Partial Differential Equations

S. C. EisenstatM. H. SchultzA. H. Sherman

出版	Yale University, Department of Computer Science, 1973
URL	http://books.google.com.hk/books?id=a51GHAAACAAJ&hl=&source=gbs_api

註釋

The authors present a new algorithm for solving general semilinear, elliptic partial differential equations. The algorithm is based on Newton's Method but uses an approximate iterative method to solve the linear systems that arise at each step of Newton's Method. The authors show that the algorithm can maintain the quadratic convergence of Newton's Method and that it may be substantially faster than other available methods for semilinear or nonlinear partial differential equations.