journal6 ›› 2004, Vol. 25 ›› Issue (4): 1-3.

• Results of NSFC •     Next Articles

Nonlinear Numerical Stability of  θ-One-Leg Methods


  1. (Department of  Mathematics,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2004-12-15 Published:2012-09-22

Abstract:  According to   algebraic stability and (k,p,q)-algebraic stability of general linear methods, the algebraic conditions of mumerical stability of θ-one-leg methods are obtained,i.e.,θ-one-leg methods is  algebraically  stable and diagonally stable under the constraint  θ≥1/2,and  θ-one-leg methods is  (1,0,2θ -1-ε)-algebraically  stable for any constant ε ≥ 0.

Key words: &theta, -one-leg methods;general linear methods;algebraic stability;diagonal stability

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