Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics-Reference-Cited by-同舟云学术

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Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics

Published:2009-01 Issue:4 Volume:47 Page:2752-2781
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Antonopoulou D. C.,Dougalis V. A.,Zouraris G. E.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/070710858

Reference14 articles.

1. The initial boundary value problem for the Schröudinger equation

2. Boundary conditions for the parabolic equation in a range‐dependent duct

3. On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation

4. Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition

5. Parabolic Wave Equation Approximations in Heterogenous Media

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1. A stochastic nonlinear differential propagation model for underwater acoustic propagation: Theory and solution;Chaos, Solitons & Fractals;2021-09

2. A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain;ESAIM: Mathematical Modelling and Numerical Analysis;2019-03

3. Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrodinger Equation on the Rectangular Mesh;Advances in Applied Mathematics and Mechanics;2018-06

4. Computing a numerical solution of two dimensional non-linear Schrödinger equation on complexly shaped domains by RBF based differential quadrature method;Journal of Computational Physics;2016-10

5. Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions;ESAIM: Mathematical Modelling and Numerical Analysis;2015-06-30

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