Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems  

作　　者：Justin Steven Calder Prentice 

机构地区：[1]不详

出　　处：《Applied Mathematics》2011年第6期711-717,共7页应用数学（英文）

摘　　要：We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, and is based on a pair of semicircles that enclose the boundary of the stability region in the left half of the complex plane. The algorithm includes an error control device. We describe a vectorized form of the algorithm, and present a corresponding MATLAB code. Numerical examples for Runge-Kutta methods of third and fourth order demonstrate the properties and capabilities of the algorithm.We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, and is based on a pair of semicircles that enclose the boundary of the stability region in the left half of the complex plane. The algorithm includes an error control device. We describe a vectorized form of the algorithm, and present a corresponding MATLAB code. Numerical examples for Runge-Kutta methods of third and fourth order demonstrate the properties and capabilities of the algorithm.

关 键 词：Moderately STIFF Problems RUNGE-KUTTA Stepsize JACOBIAN Stability Region 

分 类 号：O1[理学—数学]