New Runge–Kutta Based Schemes for ODEs with Cheap Global Error Estimation

BIT Numerical Mathematics ◽

10.1023/b:bitn.0000007056.32638.fb ◽

2003 ◽

Vol 43 (3) ◽

pp. 595-610 ◽

Author(s):

J. Makazaga ◽

A. Murua

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation

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Global error estimation with runge-kutta triples

Computers & Mathematics with Applications ◽

10.1016/0898-1221(89)90181-8 ◽

1989 ◽

Vol 18 (9) ◽

pp. 835-846 ◽

Author(s):

J.R. Dormand ◽

M.A. Lockyer ◽

N.E. McGorrigan ◽

P.J. Prince

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

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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Cheap global error estimation in some Runge-Kutta pairs

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr060 ◽

2012 ◽

Vol 33 (1) ◽

pp. 136-163 ◽

Author(s):

G. Y. Kulikov

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation

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3-Stage Implicit Runge-Kutta Methods with Global Error Estimation for Stiff Problems

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

10.1002/zamm.19930731217 ◽

1993 ◽

Vol 73 (12) ◽

pp. 386-388

Author(s):

S. Scholz ◽

J. Mohnhaupt

Keyword(s):

Error Estimation ◽

Stiff Problems ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation

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Global error estimation with adaptive explicit Runge-Kutta methods

IMA Journal of Numerical Analysis ◽

10.1093/imanum/16.1.47 ◽

1996 ◽

Vol 16 (1) ◽

pp. 47-63 ◽

Author(s):

M Calvo

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation

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Global error estimation based on the tolerance proportionality for some adaptive Runge–Kutta codes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.02.034 ◽

2008 ◽

Vol 218 (2) ◽

pp. 329-341 ◽

Author(s):

M. Calvo ◽

S. González-Pinto ◽

J.I. Montijano

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation ◽

Tolerance Proportionality

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Global Error Estimation with Runge—Kutta Methods II

IMA Journal of Numerical Analysis ◽

10.1093/imanum/5.4.481 ◽

1985 ◽

Vol 5 (4) ◽

pp. 481-497 ◽

Author(s):

J. R. DORMAND ◽

P. J. PRINCE

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

Global Error Estimation

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Global Error Estimation with Runge--Kutta Methods

IMA Journal of Numerical Analysis ◽

10.1093/imanum/4.2.169 ◽

1984 ◽

Vol 4 (2) ◽

pp. 169-184 ◽

Author(s):

J. R. DORMAND ◽

R. R. DUCKERS ◽

P. J. PRINCE

Keyword(s):

Error Estimation ◽

Global Error ◽

Runge Kutta ◽

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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Global error estimation for explicit second derivative general linear methods

Numerical Algorithms ◽

10.1007/s11075-021-01211-9 ◽

2021 ◽

Author(s):

Ali Abdi ◽

Gholamreza Hojjati ◽

Giuseppe Izzo ◽

Zdzislaw Jackiewicz

Keyword(s):

Error Estimation ◽

General Linear Methods ◽

Global Error ◽

General Linear ◽

Second Derivative ◽

Global Error Estimation

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