| A Class of Mixed Type Methods for Solving Stiff ODEs and Their Parallel Implementation |
| |
| 作者姓名： | 廖文远 李庆扬 |
| |
| 作者单位： | Liao Wenyuan，Li Qingyang |
| |
| 基金项目： | Supported by the National Natural Science Foundationof China(No.195 710 4 6 ) |
| |
| 摘 要： | IntroductionWeconsidertheinitialvalueproblemofNstiffdifferentialequations:y′=f(y)y(t0)=y0(1)withasufficientlysmoothfunctionf:RN→RN.Sincethefunctionfisindependentoft,system(1)wascalledautonomoussystem.Becausesystem(1)isastiffsystem,usuallyweuseimplicitmethodstosolvethem.ImplicitRunge-Kuttamethodandimplicitlinearmultistepmethodarewidelyusedtosolveproblemslikesystem(1),butbothofthemhavetheirowndrawbacks:implicitlinearmultistepmethodcan'tkeepgoodstabilitywhileitsorderbecomehigh(thehighestorde…
|
A Class of Mixed Type Methods for Solving Stiff ODEs and Their Parallel Implementation |
| |
| Liao Wenyuan,Li Qingyang.A Class of Mixed Type Methods for Solving Stiff ODEs and Their Parallel Implementation[J].Tsinghua Science and Technology,1998(4). |
| |
| Authors: | Liao Wenyuan Li Qingyang |
| |
| Institution: | Liao Wenyuan,Li Qingyang)Department of Applied Mathematics,Tsinghua University,Beijing 100084 |
| |
| Abstract: | This paper presents a class of methods with high order, good stability, and complete parallelism.This paper first puts the conception of free parameter with which we can choose some parameters in these methods to make these methods more useable. For several cases, we give concrete formulas and obtain numerical results for several methods. Numerical experiments show that these methods are efficient in solving stiff ODEs with high dimension. |
| |
| Keywords: | mixed\|type\|method Runge\|Kutta stiff\|ODEs parallel |
| 本文献已被 CNKI 等数据库收录！ |
