Results 11 to 20 of about 39,621 (275)
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
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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
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Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions [PDF]
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
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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
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Modeling and analysis of adipocytes dynamic with a differentiation process [PDF]
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
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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
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Dynamics of shell with destructive heat-protective coating under running load [PDF]
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
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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
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Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
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
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Algorithms and Data Structures for Multi-Adaptive Time-Stepping [PDF]
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
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