Results 51 to 60 of about 1,700 (198)

Implicit one-step optimized fourth-derivative hybrid block method for directly solving general third-order IVPs

Recent Advances in Natural Sciences
This paper introduces a single-step optimized fourth-derivative block hybrid method specifically designed to solve general third-order initial value problems directly.
S. D. Yakubu, P. Sibanda
doaj   +1 more source

Semi-Implicit Multistep Extrapolation ODE Solvers

Mathematics, 2020
Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov, Aleksandra Tutueva, Petr Fedoseev, Artem Terentev, Artur Karimov   +4 more
doaj   +1 more source

A New Method for Numerical Integration of Higher-Order Ordinary Differential Equations Without Losing the Periodic Responses

Frontiers in Built Environment, 2021
A new numerical method is presented for the solution of initial value problems described by systems of N linear ordinary differential equations (ODEs). Using the state-space representation, a differential equation of order n > 1 is transformed into a ...
John T. Katsikadelis
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CHEMSODE: a stiff ODE solver for the equations of chemical kinetics [PDF]

Computer Physics Communications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs

Journal of Algorithms & Computational Technology, 2013
In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equations (ODEs).
R. I. Okuonghae, M. N. O. Ikhile, S. O. Ogunleye   +2 more
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Gradient boosted decision trees for combustion chemistry integration

Applications in Energy and Combustion Science, 2022
This study introduces the gradient boosted decision tree (GBDT) as a machine learning approach to circumvent the need for a direct integration of the typically stiff system of ordinary differential equations that govern the temporal evolution of ...
S. Yao, A. Kronenburg, A. Shamooni, O.T. Stein, W. Zhang   +4 more
doaj   +1 more source

Construction of high-order multirate Rosenbrock methods for stiff ODEs [PDF]

, 2007
Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components.
Savcenco, V. (Valeriu), Savcenco, V., Savcenco, Valeriu   +2 more
core  

Falkner hybrid block methods for second-order IVPs: A novel approach to enhancing accuracy and stability properties

Journal of Numerical Analysis and Approximation Theory
Second-order initial value problems (IVPs) in ordinary differential equations (ODEs) are ubiquitous in various fields, including physics, engineering, and economics.
Robert I. Okuonghae, Joshua K. Ozobokeme
doaj   +1 more source

Adaptive Step Size Control of Extended/Unscented Kalman Filter Using Event Handling Concept

Frontiers in Mechanical Engineering, 2020
This paper presents a novel (Extended/Unscented) Kalman Filter by augmenting the event handling procedure of Ordinary Differential Equation (ODE) solvers with the predictor-corrector scheme of Extended/Unscented discrete Kalman Filter (EKF/UKF ...
Fateme Bakhshande, Dirk Söffker
doaj   +1 more source

Benchmarking of numerical integration methods for ODE models of biological systems

Scientific Reports, 2021
Ordinary differential equation (ODE) models are a key tool to understand complex mechanisms in systems biology. These models are studied using various approaches, including stability and bifurcation analysis, but most frequently by numerical simulations.
Philipp Städter, Yannik Schälte, Leonard Schmiester, Jan Hasenauer, Paul L. Stapor   +4 more
doaj   +1 more source