Review of Numerical Integration Techniques for Stiff Ordinary Differential Equations

J. H. Seinfeld; Leon Lapidus; Myungkyu Hwang

doi:10.1021/i160034a013

Review of Numerical Integration Techniques for Stiff Ordinary Differential Equations

Industrial & Engineering Chemistry Fundamentals ◽

10.1021/i160034a013 ◽

1970 ◽

Vol 9 (2) ◽

pp. 266-275 ◽

Cited By ~ 50

Author(s):

J. H. Seinfeld ◽

Leon Lapidus ◽

Myungkyu Hwang

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations ◽

Integration Techniques

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High order formulas with second derivatives for the numerical integration of stiff ordinary differential equations

International Journal of Computer Mathematics ◽

10.1080/00207169008803866 ◽

1990 ◽

Vol 34 (1-2) ◽

pp. 95-104

Author(s):

P. C. Chakravarti ◽

M. S. Kamel

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

High Order ◽

Stiff Ordinary Differential Equations ◽

Second Derivatives

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Some A -Stable and L -Stable Methods for the Numerical Integration of Stiff Ordinary Differential Equations

Journal of the ACM ◽

10.1145/322139.322147 ◽

1979 ◽

Vol 26 (3) ◽

pp. 483-493 ◽

Cited By ~ 19

Author(s):

T. D. Bui

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations

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Numerical Integration of Systems of Stiff Ordinary Differential Equations with Special Structure

IMA Journal of Applied Mathematics ◽

10.1093/imamat/18.2.249 ◽

1976 ◽

Vol 18 (2) ◽

pp. 249-263 ◽

Cited By ~ 12

Author(s):

H. H. ROBERTSON

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Special Structure ◽

Stiff Ordinary Differential Equations

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Numerical Integration of Linearized Stiff Ordinary Differential Equations

Numerical Methods for Differential Systems ◽

10.1016/b978-0-12-436640-4.50007-1 ◽

1976 ◽

pp. 39-44 ◽

Cited By ~ 1

Author(s):

R. Leonard Brown

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations

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A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations

Journal of the ACM ◽

10.1145/321906.321915 ◽

1975 ◽

Vol 22 (4) ◽

pp. 504-511 ◽

Cited By ~ 21

Author(s):

J. R. Cash

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations ◽

Runge Kutta

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Multivalue multistep implicit second derivative methods for the numerical integration of stiff ordinary differential equations

Science Forum (Journal of Pure and Applied Sciences) ◽

10.5455/sf.amohd ◽

2022 ◽

Vol 22 (1) ◽

pp. 43

Author(s):

Abdulhameed Mohammed ◽

Garba Adamu ◽

Auwul Yakubu ◽

Isah Abdullahi

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Second Derivative ◽

Stiff Ordinary Differential Equations ◽

Second Derivative Methods

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Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.02.037 ◽

2018 ◽

Vol 340 ◽

pp. 256-275 ◽

Cited By ~ 2

Author(s):

G.Yu. Kulikov ◽

R. Weiner

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations

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NUMERICAL INTEGRATION OF STIFF ORDINARY DIFFERENTIAL EQUATIONS. Report No. 221.

10.2172/4363422 ◽

1967 ◽

Cited By ~ 41

Author(s):

C.W. Gear

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations

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A (α)-Stable Cyclic Composite Multistep Methods of Orders 6 and 7 for Numerical Integration of Stiff Ordinary Differential Equations

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

10.1002/zamm.19810610609 ◽

2008 ◽

Vol 61 (6) ◽

pp. 261-264

Author(s):

M. Mihelcié ◽

K. Wingerath

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Multistep Methods ◽

Stiff Ordinary Differential Equations

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6 Numerical Integration of Stiff Ordinary Differential Equations

Mathematics in Science and Engineering - Numerical Solution of Ordinary Differential Equations ◽

10.1016/s0076-5392(08)63013-1 ◽

1971 ◽

pp. 267-293 ◽

Cited By ~ 2

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Stiff Ordinary Differential Equations

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