Results 31 to 40 of about 1,811,075 (266)
Partial Differential Equations in Applied Mathematics, 2023 This work presents a numerical solution to singularly perturbed Robin-type parabolic convection–diffusion problems. A hybrid method that combines the central difference scheme in the inner region and the midpoint of the upwind scheme in the outer region ...
Fasika Wondimu Gelu +1 more
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Drift-implicit Euler scheme for sandwiched processes driven by Hölder noises
Numerical Algorithms, 2022 AbstractIn this paper, we analyze the drift-implicit (or backward) Euler numerical scheme for a class of stochastic differential equations with unbounded drift driven by an arbitrary λ-Hölder continuous process, λ ∈ (0,1). We prove that, under some mild moment assumptions on the Hölder constant of the noise, the $L^{r}({\Omega };L^{\infty }([0,T]))$
Giulia Di Nunno +2 more
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On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 In this paper, we propose implicit and semi-implicit in time finite volume schemes for the barotropic Euler equations (hence, as a particular case, for the shallow water equations) and for the full Euler equations, based on staggered discretizations.
Herbin, Raphaele +2 more
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Spectral Galerkin Method in Space and Time for the 2D g-Navier-Stokes Equations
Abstract and Applied Analysis, 2013 We prove the H2-stability and L2-error analysis of the spectral Galerkin method in space and time with the implicit/explicit Euler scheme for the 2D g-Navier-Stokes equations in bounded domains when the initial data belong to H1.
Dao Trong Quyet
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The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions
Boundary Value Problems, 2020 This paper deals with the implementation of the spectral discretization of the vorticity–velocity–pressure formulation of the nonstationary Stokes problem. We use the implicit Euler scheme for the discretization in time.
Mohamed Abdelwahed +2 more
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Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods [PDF]
, 2016 International audienceSufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes.
Levant, Arie +7 more
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Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations [Elektronisk resurs] [PDF]
, 2013 We present a convergence analysis for the implicit-explicit (IMEX) Euler discretization of nonlinear evolution equations. The governing vector field of such an equation is assumed to be the sum of an unbounded dissipative operator and a Lipschitz ...
Lund University. +2 more
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Finite difference approximations for a class of non-local parabolic equations
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we study finite difference procedures for a class of parabolic equations with non-local boundary condition. The semi-implicit and fully implicit backward Euler schemes are studied.
Yanping Lin +2 more
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Advances in Difference Equations, 2020 In this article, the first part is concerned with the important questions related to the existence and uniqueness of solutions for nonlinear reaction-diffusion systems.
Nauman Ahmed +6 more
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Numerical treatment of singularly perturbed unsteady Burger-Huxley equation
Frontiers in Applied Mathematics and Statistics, 2023 This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
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