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Upper and lower solutions method for fuzzy differential equations
Springer Science and Business Media LLC - - 2010
Galerkin mixed finite element method for parabolic p-biharmonic equation with memory term
Springer Science and Business Media LLC - - Trang 1-15 - 2023
A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to find the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which we extract convergence, existence, uniqueness and qualitative results in suitable functional spaces. A full discretization scheme using the mixed finite element method is introd......
On the weak consistency of finite volumes schemes for conservation laws on general meshes
Springer Science and Business Media LLC - Tập 76 - Trang 581-594 - 2019
The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, an analogue of the Lax–Wendroff theorem for) finite volume schemes for balance laws in the multi-dimensional case and under minimal regularity assumptions for the mesh. As in the seminal Lax–Wendroff paper, our approach relies on a discrete integration by parts of the weak formulation of the ......
The radiative transfer model for the greenhouse effectAbstract Radiative transfer is at the heart of the mechanism to explain the greenhouse effect based on the partial infrared opacity of carbon dioxide, methane and other greenhouse gases in the atmosphere. In absence of thermal diffusion, the mathematical model consists of a first order integro-differential equation coupled with an integral equation for the light int... ...
Springer Science and Business Media LLC - Tập 79 Số 3 - Trang 489-525 - 2022
A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations
Springer Science and Business Media LLC - Tập 73 - Trang 97-119 - 2016
In this paper, we study the time-dependent Darcy and Stokes equations, that model laminar fluid flow over a porous medium, in two- or three-dimensional connected open domains which are coupled via appropriate matching conditions on the interface. The problem is discretized by the backward Euler scheme in time and finite elements in space. We prove a priori error estimates as a function of the time......
Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review
Springer Science and Business Media LLC - - 2024
Hyperbolic systems with stiff relaxation constitute a wide class of evolutionary partial differential equations which describe several physical phenomena, ranging from gas dynamics to kinetic theory, from semiconductor modeling to traffic flow. Peculiar features of such systems is the presence of a small parameter that determines the smallest time scale of the system. As such parameter vanishes, t......
Mellin transform and conformable fractional operator: applications
Springer Science and Business Media LLC - Tập 76 - Trang 203-215 - 2018
A wide range of fractional differential equations in applied sciences can be solved by integral transformations. In the present work, first some new theorems related to the Mellin transform and the conformable fractional operator are established, and then a few conformable fractional equations such as wave and heat equations are solved through the use of results generated.
Recovering erasures by using MDS codes over extension alphabets
Springer Science and Business Media LLC - Tập 73 - Trang 85-95 - 2015
A new family of
$${\mathbb {F}}_{q}$$
-linear codes over
$${\mathbb {F}}_{q}^{b}$$
can be obt......
A review on sparse solutions in optimal control of partial differential equations
Springer Science and Business Media LLC - - 2017
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