Experiments with direct integration algorithms for ordinary differential equations in structural dynamics

Computers & Structures ◽

10.1016/0045-7949(81)90112-7 ◽

1981 ◽

Vol 13 (1-3) ◽

pp. 91-96 ◽

Author(s):

Jon Braekhus ◽

Jan Ole Aasen

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Structural Dynamics ◽

Direct Integration ◽

Integration Algorithms

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EXPERIMENTS WITH DIRECT INTEGRATION ALGORITHMS FOR ORDINARY DIFFERENTIAL EQUATIONS IN STRUCTURAL DYNAMICS

Computational Methods in Nonlinear Structural and Solid Mechanics ◽

10.1016/b978-0-08-027299-3.50013-3 ◽

1981 ◽

pp. 91-96

Author(s):

JON BRAEKHUS ◽

JAN OLE AASEN

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Structural Dynamics ◽

Direct Integration ◽

Integration Algorithms

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Stability Analysis of Direct Integration Algorithms Applied to MDOF Nonlinear Structural Dynamics

Journal of Engineering Mechanics ◽

10.1061/(asce)em.1943-7889.0000083 ◽

2010 ◽

Vol 136 (4) ◽

pp. 485-495 ◽

Author(s):

Cheng Chen ◽

James M. Ricles

Keyword(s):

Stability Analysis ◽

Structural Dynamics ◽

Direct Integration ◽

Nonlinear Structural Dynamics ◽

Nonlinear Structural ◽

Integration Algorithms

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Stability and accuracy of the generalized Euler method for ordinary differential equations, with reference to structural dynamics problems

Engineering Structures ◽

10.1016/0141-0296(79)90019-1 ◽

1979 ◽

Vol 1 (2) ◽

pp. 99-108 ◽

Author(s):

Andrew G. Collings ◽

Garry J. Tee

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Structural Dynamics ◽

Euler Method ◽

Generalized Euler Method ◽

Stability And Accuracy ◽

Dynamics Problems

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A stopping criterion for the Newton-Raphson method in implicit multistep integration algorithms for nonlinear systems of ordinary differential equations

Communications of the ACM ◽

10.1145/362663.362745 ◽

1971 ◽

Vol 14 (9) ◽

pp. 600-601 ◽

Author(s):

W. Liniger

Keyword(s):

Nonlinear Systems ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Stopping Criterion ◽

Integration Algorithms ◽

Multistep Integration ◽

Newton Raphson ◽

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Development of Direct Integration Algorithms for Structural Dynamics Using Discrete Control Theory

Journal of Engineering Mechanics ◽

10.1061/(asce)0733-9399(2008)134:8(676) ◽

2008 ◽

Vol 134 (8) ◽

pp. 676-683 ◽

Author(s):

Cheng Chen ◽

James M. Ricles

Keyword(s):

Control Theory ◽

Structural Dynamics ◽

Discrete Control ◽

Direct Integration ◽

Integration Algorithms

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Derivation of Block Methods for Solving Second Order Ordinary Differential Equations Directly using Direct Integration and Collocation Approaches

Indian Journal of Science and Technology ◽

10.17485/ijst/2015/v8i12/70646 ◽

2015 ◽

Vol 8 (12) ◽

Author(s):

Z. Omar ◽

J. O. Kuboye

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Direct Integration ◽

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The explicit computation of integration algorithms and first integrals for ordinary differential equations with polynomial coefficients using trees

Papers from the international symposium on Symbolic and algebraic computation - ISSAC '92 ◽

10.1145/143242.143277 ◽

1992 ◽

Author(s):

P. E. Crouch ◽

R. L. Grossman

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

First Integrals ◽

Explicit Computation ◽

Polynomial Coefficients ◽

Integration Algorithms

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Discussion of paper ‘Development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation’ by Chinmoy Kolay and James M. Ricles, Earthquake Engineering and Structural Dynamics 2014; 43:136

Earthquake Engineering & Structural Dynamics ◽

10.1002/eqe.2514 ◽

2014 ◽

Vol 44 (2) ◽

pp. 325-328 ◽

Author(s):

Shuenn-Yih Chang

Keyword(s):

Energy Dissipation ◽

Structural Dynamics ◽

Earthquake Engineering ◽

Direct Integration ◽

Unconditionally Stable ◽

Integration Algorithms

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A Family of Cubic B-Spline Direct Integration Algorithms with Controllable Numerical Dissipation and Dispersion for Structural Dynamics

Iranian Journal of Science and Technology Transactions of Civil Engineering ◽

10.1007/s40996-017-0083-y ◽

2017 ◽

Vol 42 (1) ◽

pp. 17-32 ◽

Author(s):

S. Rostami ◽

S. Shojaee

Keyword(s):

Structural Dynamics ◽

Numerical Dissipation ◽

Direct Integration ◽

B Spline ◽

Integration Algorithms

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A Symmetric $k$-Step Method for Direct Integration of Second Order Initial Value Problems of Ordinary Differential Equations

Missouri Journal of Mathematical Sciences ◽

10.35834/mjms/1369746399 ◽

2013 ◽

Vol 25 (1) ◽

pp. 76-87 ◽

Author(s):

K. M. Owolabi

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Second Order ◽

Direct Integration ◽

Initial Value ◽

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