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Error of One-leg Methods for Singular Perturbation Problems with Delays 被引量：1

Error of One-leg Methods for Singular Perturbation Problems with Delays
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摘要 This paper is concerned with the error behaviour of one-leg methods applied to some classes of one-parameter multiple stiff singularly perturbed problems with delays. We derive the global error estimates of A-stable one-leg methods with linear interpolation procedure. This paper is concerned with the error behaviour of one-leg methods applied to some classes of one-parameter multiple stiff singularly perturbed problems with delays. We derive the global error estimates of A-stable one-leg methods with linear interpolation procedure.
作者 Si-qing Gan, Geng SunDepartment of Computer Science and Technology, Tsinghua University, Beijing 100084, ChinaAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2002年第4期629-640,共12页 应用数学学报（英文版）
基金 the National Natural Science Fundation of China (No.19871086&10101027) China Postdoctoral Science Foundationa.
关键词 Singular perturbation problems DELAYS INTERPOLATION one-leg methods CONVERGENCE Singular perturbation problems, delays, interpolation, one-leg methods, convergence
分类号 O19 [理学—基础数学]
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参考文献6

  • 1K. J. In ’t Hout.Convergence of Runge-Kutta Methods for Delay Differential Equations[J].Bit Numerical Mathematics.2001(2)
  • 2Stefan Schneider.Convergence results for general linear methods on singular perturbation problems[J].BIT.1993(4)
  • 3K. Strehmel,R. Weiner,I. Dannehl.On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems[J].BIT.1990(2)
  • 4E. Hairer,Ch. Lubich,M. Roche.Error of rosenbrock methods for stiff problems studied via differential algebraic equations[J].BIT.1989(1)
  • 5E. Hairer,Ch. Lubich,M. Roche.Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations[J].BIT.1988(3)
  • 6Alfredo Bellen,Marino Zennaro.Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method[J].Numerische Mathematik.1985(2)

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Acta Mathematicae Applicatae Sinica
2002年 第4期

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