Search Results - Runge-Kutta numerical integration algorithm

A computational approach to developing two-derivative ODE-solving formulations: γβI-(2+3)P method.

Authors: Babaei, Mehdi¹ (AUTHOR) m.babaei@ubonab.ac.ir

Source: Journal of Computational Science. Oct2025, Vol. 91, pN.PAG-N.PAG. 1p.

Subject Terms: Ordinary differential equations, Runge-Kutta formulas, Interpolation, Algorithms, Swarm intelligence, Numerical analysis, Numerical integration, Time integration scheme

Parallelization of Runge–Kutta Methods for Hardware Implementation.

Authors: Fedoseev, Petr Zhukov, Konstantin Kaplun, Dmitry et al.

Source: Computation; Dec2022, Vol. 10 Issue 12, p215, 15p

Subject Terms: RUNGE-Kutta formulas, INITIAL value problems, NUMERICAL integration, GATE array circuits, PARALLEL computers

Block Runge-Kutta Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations Part I. The Nonstiff Case

Authors: Cash, J. R.

Source: Mathematics of Computation, 1983 Jan 01. 40(161), 175-191.

Access URL: https://www.jstor.org/stable/2007368

Block Runge-Kutta Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations Part II. The Stiff Case

Authors: Cash, J. R.

Source: Mathematics of Computation, 1983 Jan 01. 40(161), 193-206.

Access URL: https://www.jstor.org/stable/2007369

Efficient Numerical Integration Algorithm of Probabilistic Risk Assessment for Aero-Engine Rotors Considering In-Service Inspection Uncertainties.

Authors: Li, Guo Liu, Junbo Zhou, Huimin et al.

Source: Aerospace (MDPI Publishing); Sep2022, Vol. 9 Issue 9, p525-525, 18p

Subject Terms: ENGINEERING inspection, NUMERICAL integration, MONTE Carlo method, RISK assessment, FAILURE analysis, ALGORITHMS

An Efficient Numerical Scheme for Precise Time Integration of a Diffusion-Dissolution/Precipitation Chemical System

Source: Mathematics of Computation, 2006 Jan 01. 75(253), 209-222.

Access URL: https://www.jstor.org/stable/4100150

Rapid numerical integration algorithm for finding the equilibrium state of a system of coupled binding reactions

Authors: Dennis Bray Steven Lay

Source: Bioinformatics. 10:471-476

Subject Terms: Solutions, 0301 basic medicine, 0303 health sciences, 03 medical and health sciences, Proteins, Reproducibility of Results, Computer Simulation, Programming Languages, Mathematical Computing, Models, Biological, Algorithms, Software, Signal Transduction

Access URL: https://pubmed.ncbi.nlm.nih.gov/7828061
https://www.ncbi.nlm.nih.gov/pubmed/7828061
https://dblp.uni-trier.de/db/journals/bioinformatics/bioinformatics10.html#BrayL94
https://academic.oup.com/bioinformatics/article/10/5/471/237997

A new dynamic model for gear systems incorporating the sliding friction and time-varying pressure angle.

Authors: Liu, Hao Zhang, Dayi Wang, Jianjun

Source: Journal of Vibration & Control; Jul2024, Vol. 30 Issue 13/14, p3154-3167, 14p

Subject Terms: LAGRANGE equations, TRANSLATIONAL motion, EQUATIONS of motion, SPUR gearing, NUMERICAL integration

Embedded implicit Runge-Kutta Nyström method for solving second-order differential equations.

Authors: Imoni, S.O. Otunta, F.O. Ramamohan, T.R.

Source: International Journal of Computer Mathematics. Nov2006, Vol. 83 Issue 11, p777-784. 8p. 1 Chart.

Subject Terms: *Algorithms, Numerical integration, Initial value problems, Differential equations, Definite integrals, Numerical analysis

A Second-order Diagonally-Implicit-Explicit Multi-Stage Integration Method

Authors: Zhang, Hong Sandu, Adrian

Source: Procedia Computer Science. Jun2012, Vol. 9 Issue 2, p1039-1046. 8p.

Subject Terms: Implicit functions, Numerical integration, Problem solving, Runge-Kutta formulas, Linear systems, Matching theory, Algorithms

A ninth-order first derivative method for numerical integration.

Authors: Akinola, Richard O. Omole, Ezekiel O. Sunday, Joshua et al.

Source: Journal of Nigerian Society of Physical Sciences; Feb2025, Vol. 7 Issue 1, p1-16, 16p

Subject Terms: NUMERICAL integration, DIFFERENTIAL equations, NUMERICAL solutions to equations, STIFF equations (Differential equations), STOCHASTIC convergence

Implicit Numerical Integration for Design Sensitivity Analysis of Rigid Multibody Systems.

Authors: Wang, X. Haug, E. J. Pan, W.

Source: Mechanics Based Design of Structures & Machines. Feb2005, Vol. 33 Issue 1, p1-30. 30p. 6 Charts.

Subject Terms: *NUMERICAL integration, *ALGORITHMS, *DIFFERENTIAL-algebraic equations, *DIFFERENTIAL equations, *MATHEMATICAL models, *COORDINATES

A Method for the Numerical Integration of Coupled First-Order Differential Equations with Greatly Different Time Constants

Authors: Treanor, Charles E.

Source: Mathematics of Computation, 1966 Jan 01. 20(93), 39-45.

Access URL: https://www.jstor.org/stable/2004266

Lie derivative algorithm for preserving geometry on cylindrical manifolds.

Authors: Huang, Feilong Song, Yuhan Jiang, Wenan et al.

Source: Nonlinear Dynamics; Sep2025, Vol. 113 Issue 17, p22799-22821, 23p

Numerical Integration of Multiplicative-Noise Stochastic Differential Equations

Authors: Klauder, John R. Petersen, Wesley P.

Source: SIAM Journal on Numerical Analysis, 1985 Dec 01. 22(6), 1153-1166.

Access URL: https://www.jstor.org/stable/2157543

An efficient numerical integration algorithm for single-layer Raster cellular neural networks simulator

Authors: M. El-sayed Wahed O. H. Abdel Wahed The Pennsylvania State University CiteSeerX Archives

Contributors: M. El-sayed Wahed O. H. Abdel Wahed The Pennsylvania State University CiteSeerX Archives

Source: http://academicjournals.org/article/article1380625304_Wahed and Wahed.pdf.

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.402.3235; http://academicjournals.org/article/article1380625304_Wahed and Wahed.pdf

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.402.3235
http://academicjournals.org/article/article1380625304_Wahed and Wahed.pdf

Fifth-Order Exact Analytic Continuation Numerical Integration Algorithm

Authors: James D. Turner Manoranjan Majji John L. Junkins

Source: The International Conference on Computational & Experimental Engineering and Sciences
Volume 16
Issue 1

File Description: application/pdf

Access URL: http://www.techscience.com/doi/10.3970/icces.2011.016.009.html

Rapid numerical integration algorithm for finding the equilibrium state of a system of coupled binding reactions.

Authors: Bray, Dennis Lay, Steven

Source: Carcinogenesis; 1989, Vol. 10 Issue 5, p471-476, 6p

One-step block scheme with optimal hybrid points for numerical integration of second-order ordinary differential equations.

Authors: Akinnukawe, B. I. Okunuga, S. A.

Source: Journal of Nigerian Society of Physical Sciences; May2024, Vol. 6 Issue 2, p1-7, 7p

Subject Terms: NUMERICAL integration, ORDINARY differential equations, INITIAL value problems, APPROXIMATION theory, COLLOCATION methods

Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations

Authors: Ernst Hairer Christian Lubich Gerhard Wanner

Resource Type: eBook.

Subjects: Numerical integration, Hamiltonian systems, Differential equations--Numerical solutions

Categories: MATHEMATICS / Numerical Analysis, MATHEMATICS / Applied, MATHEMATICS / Mathematical Analysis, SCIENCE / Physics / Mathematical & Computational