Convergence of a semi-discrete scheme for the stochastic Korteweg-de Vries equation
Discrete & Continuous Dynamical Systems - B, 2006 In this article, we prove the convergence of a semi-discrete scheme applied to the stochastic Korteweg--de Vries equation driven by an additive and localized noise. It is the Crank--Nicholson scheme for the deterministic part and is implicit. This scheme was used in previous numerical experiments on the influence of a noise on soliton propagation [
Debussche, Arnaud, Printems, Jacques
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Semi-Discrete Scheme for the Solution of Flow in River Tinnelva [PDF]
Linköping Electronic Conference Proceedings, 2018 Susantha Dissanayake +2 more
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Classification and image processing with a semi‐discrete scheme for fidelity forced Allen–Cahn on graphs [PDF]
GAMM-Mitteilungen, 2020 This paper introduces a semi‐discrete implicit Euler (SDIE) scheme for the Allen‐Cahn equation (ACE) with fidelity forcing on graphs. The continuous‐in‐time version of this differential equation was pioneered by Bertozzi and Flenner in 2012 as a method ...
J. Budd, Y. Gennip, J. Latz
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E S A I M: Control, Optimisation and Calculus of Variations, 2023 In this paper, we consider uniformly exponential approximation for a vibrating cable with tip mass under a non-collocated output stabilizing feedback control.
B. Guo, Xi Zhao
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A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model
Mathematics, 2020 We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach.
Xiaowei Chen, Mingzhan Song, Songhe Song
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Fast Compact Difference Scheme for Solving the Two-Dimensional Time-Fractional Cattaneo Equation
Fractal and Fractional, 2022 The time-fractional Cattaneo equation is an equation where the fractional order α∈(1,2) has the capacity to model the anomalous dynamics of physical diffusion processes.
Lijuan Nong +3 more
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Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids [PDF]
Discrete Dynamics in Nature and Society, 2021 Reaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. This paper studies second-order semi-discretizations for the numerical solution of reaction-diffusion-advection equations modeling quenching types of singularities occurring in numerous ...
Nina Garcia-Montoya +3 more
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An H1 -Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation
Mathematical Modelling and Analysis, 2017 In this paper we investigate a semi-discrete H1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string.
Fengxin Chen, Zhaojie Zhou
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A Second Order Fully-discrete Linear Energy Stable Scheme for a Binary Compressible Viscous Fluid Model [PDF]
, 2018 We present a linear, second order fully discrete numerical scheme on a staggered grid for a thermodynamically consistent hydrodynamic phase field model of binary compressible fluid flow mixtures derived from the generalized Onsager Principle.
Wang, Qi, Zhao, Xueping
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Analysis of algebraic flux correction schemes for semi-discrete advection problems
BIT Numerical Mathematics, 2023 AbstractBased on recent developments regarding the analysis of algebraic flux correction schemes, we consider a locally bound-preserving discretization of the time-dependent advection equation. Specifically, we analyze a monolithic convex limiting scheme based on piecewise (multi-)linear continuous finite elements in the semi-discrete formulation.
Hajduk, Hennes, Rupp, Andreas
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