نتایج جستجو برای: semi discretization

تعداد نتایج: 162675  

2010
D. DOYEN

A new space semi-discretization for the dynamic Signorini problem, based on a modification of the mass term, has been recently proposed. We prove the convergence of the space semi-discrete solutions to a solution of the continuous problem in the case of a visco-elastic material.

2012
Thuy Nguyen Thuy N.T. Nguyen

In the discrete setting of one-dimensional finite-differences we prove a Carleman estimate for a semi-discretization of the parabolic operator ∂t − ∂x(c∂x) where the diffusion coefficient c has a jump. As a consequence of this Carleman estimate, we deduce consistent nullcontrollability results for classes of semi-linear parabolic equations.

2008
Xing-Biao Hu Guo-Fu Yu

In this paper, semi-discretizations and full-discretization of the Leznov lattice are investigated via Hirota’s bilinear formalism. As a result, two integrable semi-discrete versions and one fully discrete version for the Leznov lattice are found. Bäcklund transformations, nonlinear superposition formulae and Lax pairs for these discrete versions are presented. Mathematics Subject Classificatio...

Journal: :J. Computational Applied Mathematics 2016
Francis Filbet Charles Prouveur

We introduce different high order time discretization schemes for backward semi-Lagrangian methods. These schemes are based on multi-step schemes like AdamsMoulton and Adams-Bashforth schemes combined with backward finite difference schemes. We apply these methods to transport equations for plasma physics applications and for the numerical simulation of instabilities in fluid mechanics. In the ...

2004
J. Frank S. Reich A. Staniforth

A key aspect of the recently proposed Hamiltonian Particle-Mesh (HPM) method is its time-staggered discretization combined with a regularization of the continuous governing equations. In this paper, the time discretization aspect of the HPM method is analysed for the linearized, rotating, shallow-water equations with orography and the combined effect of time-staggering and regularization is com...

2009
D. DOYEN

A new space semi-discretization for the dynamic Signorini problem, based on a modification of the mass term, has been recently proposed. We prove the convergence of the space semi-discrete solutions to a solution of the continuous problem in the case of a visco-elastic material.

Journal: :J. Optimization Theory and Applications 2012
Johannes O. Royset E. Y. Pee

Discretization algorithms for solving semi-infinite minimax problems replace the original problem by an approximation involving the maximization over a finite number of functions and then solve the resulting approximate problem. The approximate problem gives rise to a discretization error and its solution results in an optimization error as a minimizer of that problem is rarely achievable with ...

Journal: :Mathematical Methods of Operations Research 2022

Abstract The proof of convergence adaptive discretization-based algorithms for semi-infinite programs (SIPs) usually relies on compact host sets the upper- and lower-level variables. This assumption is violated in some applications, we show that indeed problems can arise when are applied to SIPs with unbounded To mitigate these problems, first examine underlying assumptions algorithms. We do th...

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