The Numerical Solution of Nonlinear Stiff Initial Value Problems: An Analysis of One-Step Methods.

Mathematics of Computation ◽

10.2307/2008194 ◽

1986 ◽

Vol 47 (176) ◽

pp. 756

Author(s):

Kenneth R. Jackson ◽

W. H. Hundsdorfer

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

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Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0804930-8 ◽

1985 ◽

Vol 45 (172) ◽

pp. 377-377 ◽

Author(s):

M. N. Spijker

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

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On a new one-step method for numerical solution of initial-value problems in ordinary differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160108805078 ◽

2001 ◽

Vol 77 (3) ◽

pp. 457-467 ◽

Author(s):

P. Kama ◽

E.A. Ibijola

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

Step Method ◽

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An MEBDF package for the numerical solution of large sparse systems of stiff initial value problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(01)00137-7 ◽

2001 ◽

Vol 42 (1-2) ◽

pp. 121-129 ◽

Author(s):

T.J. Abdulla ◽

J.R. Cash ◽

M.T. Diamantakis

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Sparse Systems ◽

Large Sparse Systems

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Inexact Methods in the Numerical Solution of Stiff Initial Value Problems

Computing ◽

10.1007/s006070050034 ◽

1999 ◽

Vol 63 (3) ◽

pp. 265-281 ◽

Author(s):

B. Morini ◽

M. Macconi

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Inexact Methods

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Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00463-5 ◽

2000 ◽

Vol 125 (1-2) ◽

pp. 117-130 ◽

Author(s):

J.R. Cash

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Backward Differentiation Formulae

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An improved version of the reduction to scalar CDS method for the numerical solution of separably stiff initial value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0521274-x ◽

1979 ◽

Vol 33 (146) ◽

pp. 535-535

Author(s):

Peter Alfeld

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems

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The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/14.2.183 ◽

1994 ◽

Vol 14 (2) ◽

pp. 183-209 ◽

Author(s):

J. L. M. van DORSSELAER ◽

M. N. SPIJKER

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Newton Iteration ◽

Initial Value ◽

Stiff Initial Value Problems

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Biconvergence, Bistability and Consistency of One-Step Methods for the Numerical Solution of Initial Value Problems in Ordinary Differential Equations

Topics in Numerical Analysis II ◽

10.1016/b978-0-12-496952-0.50024-6 ◽

1975 ◽

pp. 197-211 ◽

Author(s):

Friedrich Stummel

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

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Optimal extended one-step schemes of exponential type for stiff initial-value problems

International Journal of Computer Mathematics ◽

10.1080/00207160412331286860 ◽

2004 ◽

Vol 81 (11) ◽

pp. 1363-1379

Author(s):

A. A. Salama ◽

S. A. Bakr

Keyword(s):

Exponential Type ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

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AN IMPLICIT ONE-STEP THIRD DERIVATIVE HYBRID BLOCK METHOD FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS.

IARJSET ◽

10.17148/iarjset.2021.8825 ◽

2021 ◽

Vol 8 (8) ◽

Author(s):

Ononogbo , .C. B. ◽

Julia , .U. E. ◽

Ishie, .I.H.

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Block Method ◽

Initial Value ◽

First Order ◽

One Step ◽

Third Derivative

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