Results 1 to 10 of about 334 (91)

Semidiscrete Shocks for the Full Velocity Difference Model

Applied Mathematics & Optimization, 2023
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Nader El Khatib, Nicolas Forcadel, Mamdouh Zaydan   +2 more
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Translationally invariant nonlinear Schrodinger lattices

, 2006
Persistence of stationary and traveling single-humped localized solutions in the spatial discretizations of the nonlinear Schrodinger (NLS) equation is addressed.
Berger A, Dmitriev S V, Dmitriev S V, Dmitry E Pelinovsky, Eilbeck J C Johansson M Vázquez L, Friesecke G, Oxtoby O F, Pankov A, Roy I Dmitriev S V Kevrekidis P G Saxena A, Speight J M, Speight J M, Tovbis A   +11 more
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Semidiscretization for a nonlocal parabolic problem [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
A time discretization technique by Euler forward scheme is proposed to deal with a nonlocal parabolic problem. Existence and uniqueness of the approximate solution are proved.
Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi   +1 more
openaire   +3 more sources

A generalization of flatness to nonlinear systems of partial differential equations. Application to the command of a flexible rod [PDF]

, 2001
We introduce a concept of differential flatness for systems described by nonlinear partial differential equations. It generalizes the now classical notion of differential flatness for finite differential systems and its recent extensions to linear ...
Ollivier, Francois, Sedoglavic, Alexandre   +1 more
core   +2 more sources

Improvement of accuracy of the spectral element method for elastic wave computation using modified numerical integration operators

, 2019
We introduce new numerical integration operators which compose the mass and stiffness matrices of a modified spectral element method for simulation of elastic wave propagation.
Fuji, Nobuaki, Hasegawa, Kei, Konishi, Kensuke   +2 more
core   +1 more source

Stability of flat interfaces during semidiscrete solidification [PDF]

ESAIM: Mathematical Modelling and Numerical Analysis, 2002
Summary: The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs-Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained
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Finite and Infinitesimal Flexibility of Semidiscrete Surfaces [PDF]

Arnold Mathematical Journal, 2015
In this paper we study infinitesimal and finite flexibility for generic semidiscrete surfaces. We prove that generic 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of existence.
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Weak convergence for a spatial approximation of the nonlinear stochastic heat equation

, 2015
We find the weak rate of convergence of the spatially semidiscrete finite element approximation of the nonlinear stochastic heat equation. Both multiplicative and additive noise is considered under different assumptions. This extends an earlier result of
Andersson, Adam, Larsson, Stig
core   +1 more source

Conservation laws of semidiscrete canonical Hamiltonian equations [PDF]

Journal of Physics A: Mathematical and General, 2001
19 pages, 2 ...
openaire   +3 more sources

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method

, 2012
We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their energy exactly. The same method, applied to PDEs with constant dissipative structure, also preserves
Celledoni, E., Grimm, V., McLachlan, R. I., McLaren, D. I., O'Neale, D., Owren, B., Quispel, G. R. W.   +6 more
core   +1 more source