Zobrazeno 1 - 10
of 72 836
pro vyhledávání: '"Numerical Schemes"'
Autor:
Li, Pansheng, Wang, Dongling
In the recent breakthrough work \cite{xu2023lack}, a rigorous numerical analysis was conducted on the numerical solution of a scalar ODE containing a cubic polynomial derived from the Allen-Cahn equation. It was found that only the implicit Euler met
Externí odkaz:
http://arxiv.org/abs/2411.06943
This short note introduces a novel diagnostic tool for evaluating the convection boundedness properties of numerical schemes across discontinuities. The proposed method is based on the convection boundedness criterion and the normalised variable diag
Externí odkaz:
http://arxiv.org/abs/2411.06152
Autor:
Das, Arijit, Tran, Minh-Binh
This article introduces a novel numerical approach, based on Finite Volume Techniques, for studying fully nonlinear coagulation-fragmentation models, where both the coagulation and fragmentation components of the collision operator are nonlinear. The
Externí odkaz:
http://arxiv.org/abs/2412.05402
Autor:
Crozon, Thomas
The present document corresponds to the 4 th chapter of my thesis, the problem setting is not definitive, what matters most here are the mathematical results and the methodology of the existence proofs. In this work, we propose a framework and some t
Externí odkaz:
http://arxiv.org/abs/2411.09285
Autor:
Gilles, Jerome
Publikováno v:
Advances in Imaging and Electron Physics, Chapter 3, Vol.158, 2009
This paper describes the many image decomposition models that allow to separate structures and textures or structures, textures, and noise. These models combined a total variation approach with different adapted functional spaces such as Besov or Con
Externí odkaz:
http://arxiv.org/abs/2411.05265
Autor:
Han, Daozhi, Wang, Xiaoming
We propose a novel second-order accurate, long-time unconditionally stable time-marching scheme for the forced Navier-Stokes equations. A new Forced Scalar Auxiliary Variable approach (FSAV) is introduced to preserve the underlying dissipative struct
Externí odkaz:
http://arxiv.org/abs/2410.06362
In this work, we focus on the development of high-order Implicit-Explicit (IMEX) finite volume numerical methods for plasmas in quasineutral regimes. At large temporal and spatial scales, plasmas tend to be quasineutral, meaning that the local net ch
Externí odkaz:
http://arxiv.org/abs/2409.04807
We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Further
Externí odkaz:
http://arxiv.org/abs/2406.12652
Autor:
de la Riva, Álvaro Pé, Gaspar, Francisco J., Hu, Xiaozhe, Adler, James, Rodrigo, Carmen, Zikatanov, Ludmil
In this work, we present a new stabilization method aimed at removing spurious oscillations in the pressure approximation of Biot's model for poroelasticity with low permeabilities and/or small time steps. We consider different finite-element discret
Externí odkaz:
http://arxiv.org/abs/2407.19599
Autor:
Žáková, Dagmar, Frolkovič, Peter
This paper deals with the numerical solution of conservation laws in the two dimensional case using a novel compact implicit time discretization that enable applications of fast algebraic solvers. We present details for the second order accurate para
Externí odkaz:
http://arxiv.org/abs/2407.05275