Results 21 to 30 of about 9,010,138 (290)

Convergence and Order of the 2-Point Diagonally Implicit Block Backward Differentiation Formula with Two Off-Step Points

open access: yesUMYU Scientifica Journal, 2022
The development and formulation of a most reliable and efficient numerical schemes for the integration of stiff systems of ordinary differential equations in terms of order, convergence, stability requirements, accuracy, and computational expense has ...
Buhari Alhassan   +2 more
doaj   +1 more source

Exponential Euler-Maruyama scheme for simulation of stiff biochemical reaction systems [PDF]

open access: yes, 2013
In order to simulate stiff biochemical reaction systems, an explicit exponential Euler-Maruyama scheme is derived for multi-dimensional, non-commutative stochastic differential equations with a semilinear drift term.
コモリ, ヨシオ   +10 more
core   +1 more source

Finite element solutions to boundary value problems [PDF]

open access: yes, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core   +7 more sources

Stiff systems of ordinary differential equations [PDF]

open access: yesThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981
AbstractSolutions of the stiff system of linear differential equationsare obtained in a form yielding tight estimates of their properties, and conditions are obtained under which the operator norm of the map from r to the solution x does not become exponentially large for small values of ε.
Mahony, J. J., Shepherd, J. J.
openaire   +2 more sources

Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems [PDF]

open access: yesThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981
AbstractFor the completely stiff real homogeneous systemwhere e is a small positive parameter, a method is given for the construction of a basis for the solution space.If A has n linearly independent eigenvector functions, then there exists a choice of these, {si}, with corresponding eigenvalue functions {λi}, such that there is a local basis for ...
J. J. Mahony, J. J. Shepherd
openaire   +1 more source

Integración por cuantificación de sistemas stiff

open access: yesRevista Iberoamericana de Automática e Informática Industrial RIAI, 2007
Resumen: Este artículo presenta un nuevo método de integración numérica de ecuaciones diferenciales ordinarias basado en la cuantificación de las variables de estado.
Gustavo Migoni   +2 more
doaj   +1 more source

Geometric Numerical Integration of Liénard Systems via a Contact Hamiltonian Approach

open access: yesMathematics, 2021
Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on the paradigmatic example of the van der Pol oscillator, we demonstrate that
Federico Zadra   +2 more
doaj   +1 more source

A High Precision Direct Integration Scheme Based on Variational Principle and Its Applications

open access: yesMATEC Web of Conferences, 2016
Dynamics response of systems to impact or loading may be effectively treated by direct integration. However, it is often difficult to select the time-step of integration properly, especially in the case which the system is badly stiff.
Zhu Shuai   +3 more
doaj   +1 more source

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

open access: yesFrontiers 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

Femtosecond laser programmed artificial musculoskeletal systems

open access: yesNature Communications, 2020
Musculoskeletal systems are recognized as a model for designing robust yet flexible microbots but the development of artificial musculoskeletal systems at nanoscale currently remains challenging.
Zhuo-Chen Ma   +6 more
doaj   +1 more source

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