Global error estimation for linear ordinary differential equations and their numerical optimal solutions

Scientia Sinica Mathematica ◽

10.1360/ssm-2019-0313 ◽

2020 ◽

Vol 51 (1) ◽

pp. 239

Author(s):

Wu Wenyuan ◽

Yang Wenqiang

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Global Error ◽

Optimal Solutions ◽

Linear Ordinary Differential Equations ◽

Global Error Estimation

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Generalizing global error estimation for ordinary differential equations by using coupled time-stepping methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.05.012 ◽

2018 ◽

Vol 332 ◽

pp. 140-158 ◽

Author(s):

Emil M. Constantinescu

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Global Error ◽

Time Stepping ◽

Global Error Estimation

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Numerical investigations on global error estimation for ordinary differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00079-4 ◽

1997 ◽

Vol 82 (1-2) ◽

pp. 21-39 ◽

Author(s):

René Aïd ◽

Laurent Levacher

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Global Error ◽

Numerical Investigations ◽

Global Error Estimation

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Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D]

ACM Transactions on Mathematical Software ◽

10.1145/355681.355690 ◽

1976 ◽

Vol 2 (2) ◽

pp. 200-203 ◽

Author(s):

L. F. Shampine ◽

H. A. Watts

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Global Error ◽

Global Error Estimation

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Implicit Runge-Kutta Methods with a Global Error Estimation for Stiff Differential Equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19890690805 ◽

1989 ◽

Vol 69 (8) ◽

pp. 253-257 ◽

Author(s):

S. Scholz

Keyword(s):

Differential Equations ◽

Error Estimation ◽

Global Error ◽

Stiff Differential Equations ◽

Runge Kutta ◽

Global Error Estimation

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On Stetter's global error estimation in the smooth phase of stiff differential equations

Computing ◽

10.1007/bf02238191 ◽

1986 ◽

Vol 36 (1-2) ◽

pp. 43-55 ◽

Author(s):

S. Scholz

Keyword(s):

Differential Equations ◽

Error Estimation ◽

Global Error ◽

Stiff Differential Equations ◽

Global Error Estimation

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Error estimation for collocation solution of linear ordinary differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(86)90230-0 ◽

1986 ◽

Vol 12 (5-6) ◽

pp. 1053-1059 ◽

Author(s):

A.H. Ahmed ◽

K. Wright

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Linear Ordinary Differential Equations ◽

Collocation Solution

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Global error estimation in the numerical solution of retarded differential equations by Euler's method

Applications of Mathematics ◽

10.21136/am.1983.104024 ◽

1983 ◽

Vol 28 (3) ◽

pp. 177-185

Author(s):

Zdzisław Jackiewicz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimation ◽

Global Error ◽

Euler’S Method ◽

Global Error Estimation ◽

Retarded Differential Equations

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Error Estimation of Numerical Solvers for Linear Ordinary Differential Equations

DEStech Transactions on Computer Science and Engineering ◽

10.12783/dtcse/cmsms2018/25204 ◽

2018 ◽

Author(s):

WEN-YUAN WU ◽

WEN-QIANG YANG

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Estimation ◽

Linear Ordinary Differential Equations

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Global error estimation in the numerical solution of integro-differential equations by Euler's method

Applicationes Mathematicae ◽

10.4064/am-18-3-487-501 ◽

1984 ◽

Vol 18 (3) ◽

pp. 487-501

Author(s):

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimation ◽

Global Error ◽

Euler’S Method ◽

Global Error Estimation

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NUMERICAL TREATMENT AND GLOBAL ERROR ESTIMATION OF NATURAL CONVECTIVE EFFECTS ON GLIDING MOTION OF BACTERIA ON A POWER-LAW NANOSLIME THROUGH A NON-DARCY POROUS MEDIUM

Journal of Porous Media ◽

10.1615/jpormedia.2015012459 ◽

2015 ◽

Vol 18 (11) ◽

pp. 1091-1106 ◽

Author(s):

Mohamed Abou-zeid ◽

Abeer A. Shaaban ◽

Muneer Y. Alnour

Keyword(s):

Porous Medium ◽

Error Estimation ◽

Power Law ◽

Global Error ◽

Numerical Treatment ◽

Global Error Estimation

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