Embedded dirk methods for the numerical integration of stiff systems of odes

International Journal of Computer Mathematics ◽

10.1080/00207168708803557 ◽

1987 ◽

Vol 21 (1) ◽

pp. 65-84 ◽

Author(s):

Ala H. Al-Rabeh

Keyword(s):

Numerical Integration ◽

Stiff Systems ◽

Systems Of Odes ◽

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A variable parameter embedded dirk algorithm for the numerical integration of stiff systems of ODEs

Computers & Mathematics with Applications ◽

10.1016/0898-1221(87)90005-8 ◽

1987 ◽

Vol 13 (4) ◽

pp. 373-379 ◽

Author(s):

A.H. Al-Rabeh

Keyword(s):

Numerical Integration ◽

Variable Parameter ◽

Stiff Systems ◽

Systems Of Odes

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Explicit difference schemes for solving stiff systems of ODEs and PDEs with complex spectrum

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1998.13.2.107 ◽

1998 ◽

Vol 13 (2) ◽

Author(s):

V. I. LEBEDEV

Keyword(s):

Difference Schemes ◽

Complex Spectrum ◽

Stiff Systems ◽

Systems Of Odes ◽

Explicit Difference Schemes

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Third Order (m, k)-Method for Solving Stiff Systems of ODEs and DAEs

2018 XIV International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE) ◽

10.1109/apeie.2018.8545974 ◽

2018 ◽

Author(s):

Alexandr I. Levykin ◽

Anton E. Novikov ◽

Eugeny A. Novikov

Keyword(s):

Stiff Systems ◽

Third Order ◽

Systems Of Odes

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On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs

SIAM Journal on Numerical Analysis ◽

10.1137/0727027 ◽

1990 ◽

Vol 27 (2) ◽

pp. 447-456 ◽

Author(s):

Kevin Burrage ◽

Linda Petzold

Keyword(s):

Order Reduction ◽

Stiff Systems ◽

Algebraic Systems ◽

Systems Of Odes ◽

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Adaptive Linear Equation Solvers in Codes for Large Stiff Systems of ODEs

SIAM Journal on Scientific Computing ◽

10.1137/0914051 ◽

1993 ◽

Vol 14 (4) ◽

pp. 800-823 ◽

Author(s):

K. R. Jackson ◽

W. L. Seward

Keyword(s):

Linear Equation ◽

Stiff Systems ◽

Systems Of Odes

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Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes

International Journal of Computer Mathematics ◽

10.1080/00207169808804644 ◽

1998 ◽

Vol 66 (3-4) ◽

pp. 325-341 ◽

Author(s):

Fudziah Bt Ismail ◽

Mohamed B. Suleman

Keyword(s):

Stiff Systems ◽

Systems Of Odes ◽

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A-EBDF: an adaptive method for numerical solution of stiff systems of ODEs

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2004.02.019 ◽

2004 ◽

Vol 66 (1) ◽

pp. 33-41 ◽

Author(s):

G. Hojjati ◽

M.Y. Rahimi Ardabili ◽

S.M. Hosseini

Keyword(s):

Numerical Solution ◽

Adaptive Method ◽

Stiff Systems ◽

Systems Of Odes

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The efficiency of second derivative multistep methods for the numerical integration of stiff systems

Journal of the Nigerian Mathematical Society ◽

10.1016/j.jnnms.2016.02.002 ◽

2016 ◽

Vol 35 (1) ◽

pp. 107-127 ◽

Author(s):

D.G. Yakubu ◽

S. Markus

Keyword(s):

Numerical Integration ◽

Multistep Methods ◽

Second Derivative ◽

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The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs

Journal of Computational Mathematics ◽

10.4208/jcm.1212-m3987 ◽

2013 ◽

Vol 31 (2) ◽

pp. 175-189 ◽

Author(s):

Elisabete Alberdi Celaya and Juan José Anza

Keyword(s):

Stiff Systems ◽

Systems Of Odes

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The use of sparse matrix technique in the numerical integration of stiff systems of linear ordinary differential equations

Computers & Chemistry ◽

10.1016/0097-8485(80)85003-0 ◽

1980 ◽

Vol 4 (1) ◽

pp. 1-12 ◽

Author(s):

Kjeld Schaumburg ◽

Jerzy Wasniewski ◽

Zahari Zlatev

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Integration ◽

Sparse Matrix ◽

Stiff Systems ◽

Linear Ordinary Differential Equations

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