Continuous two-step Runge–Kutta methods for ordinary differential equations

Abstract  New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived.
These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability
properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated.

• Content Type Journal Article
• Category Original Paper
• DOI 10.1007/s11075-009-9329-5
• Authors
  
  
  • Raffaele D’Ambrosio, Universitá degli Studi di Salerno Dipartimento di Matematica e Informatica Fisciano (SA) 84084 Italy
  • Zdzislaw Jackiewicz, Arizona State University Department of Mathematics and Statistics Tempe AZ 85287 USA
  
  

• Journal Numerical Algorithms
• Online ISSN 1572-9265
• Print ISSN 1017-1398

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Original source : http://www.springerlink.com/content/f6228520840626...