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

