Results 11 to 20 of about 39,621 (275)

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

open access: yesAin Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

On the Existence and Uniqueness of the ODE Solution and Its Approximation Using the Means Averaging Approach for the Class of Power Electronic Converters

open access: yesMathematics, 2021
Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
doaj   +1 more source

Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions [PDF]

open access: yes, 2010
In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order.
Aubin J.-P.   +5 more
core   +1 more source

A Novel Robust Strategy for Discontinuous Galerkin Methods in Computational Fluid Mechanics: Why? When? What? Where?

open access: yesFrontiers in Physics, 2021
In this paper we will review a recent emerging paradigm shift in the construction and analysis of high order Discontinuous Galerkin methods applied to approximate solutions of hyperbolic or mixed hyperbolic-parabolic partial differential equations (PDEs)
Gregor J. Gassner, Andrew R. Winters
doaj   +1 more source

Modeling and analysis of adipocytes dynamic with a differentiation process [PDF]

open access: yesESAIM: Proceedings and Surveys, 2020
We propose in this article a model describing the dynamic of a system of adipocytes, structured by their sizes. This model takes into account the differentiation of a population of mesenchymal cells into preadipocytes and of preadipocytes into adipocytes;
Gilleron Jérôme   +7 more
doaj   +1 more source

Superconvergence Analysis of Discontinuous Galerkin Methods for Systems of Second-Order Boundary Value Problems

open access: yesComputation, 2023
In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
doaj   +1 more source

Dynamics of shell with destructive heat-protective coating under running load [PDF]

open access: yesINCAS Bulletin, 2019
The problem of dynamic deformation of a plate with a two-layer composite shell with a heat-shattering coating collapsing in time under the action of a running load is solved approximately.
Boris A. ANTUFEV   +3 more
doaj   +1 more source

Mild solutions, variation of constants formula, and linearized stability for delay differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
doaj   +1 more source

Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]

open access: yes, 2006
The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg   +8 more
core   +1 more source

Algorithms and Data Structures for Multi-Adaptive Time-Stepping [PDF]

open access: yes, 2008
Multi-adaptive Galerkin methods are extensions of the standard continuous and discontinuous Galerkin methods for the numerical solution of initial value problems for ordinary or partial differential equations.
Jansson, Johan, Logg, Anders
core   +2 more sources

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