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Exponential Fitting on a Class of AStable Diagonallyimplicit RungeKutta Method

CHEN Quanfa1, XIAO Aiguo2   

  1. 1. Department of Mathematics, Xiangnan University, Chenzhou 423000, Hunan Province, China;2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China
  • Received:2007-12-17 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: CHEN Quanfa

Abstract: The onepoint exponentialfitting of threestage diagonallyimplicit Runge-Kutta method with an A-stableand explicit stage was studied, a corresponding exponentialfitting formula of A-stable was constructed, choosing the best frequency and controlling the length were also discussed.

Key words: A-stability, diagonallyimplicit, Runge-Kutta method, exponentialfitting

CLC Number: 

  • O241.81