Results 241 to 250 of about 6,984 (280)

A Modified Method for a Cauchy Problem of the Helmholtz Equation

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Qin, Haihua, Lu, Jingmei
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A Fast Solver for Boundary Integral Equations of the Modified Helmholtz Equation

Journal of Scientific Computing, 2014
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Rui Wang, Xiangling Chen
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A Modified Fourier–Galerkin Method for the Poisson and Helmholtz Equations

Journal of Scientific Computing, 2002
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Ole F. Næss, Knut S. Eckhoff
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The modified Helmholtz equation in a semi-strip

Mathematical Proceedings of the Cambridge Philosophical Society, 2005
Summary: We study the modified Helmholtz equation in a semi-strip with Poincaré type boundary conditions. On each side of the semi-strip the boundary conditions involve two parameters and one real-valued function. Using a new transform method recently introduced in the literature we show that the above boundary-value problem is equivalent to a \(2 ...
Antipov, Y. A., Fokas, A. S.
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A regularization method for the cauchy problem of the modified Helmholtz equation

Mathematical Methods in the Applied Sciences, 2014
In the present paper, an iteration regularization method for solving the Cauchy problem of the modified Helmholtz equation is proposed. The a priori and a posteriori rule for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given.
Cheng, Hao, Zhu, Ping, Gao, Jie
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Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization

Statistics, 2015
In this paper, we deal with the Cauchy problem for the modified Helmholtz equation. We consider two models of data: the bounded variance model and the i.i.d. model. The trigonometric estimators of nonparametric regression is applied to solve the problem.
Dang Duc Trong, Nguyen Huy Tuan, Nguyen Dang Minh   +2 more
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Analysis of the method of fundamental solutions for the modified Helmholtz equation

Applied Mathematics and Computation, 2017
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Tian, Zhaolu, Li, Zi-Cai, Huang, Hung-Tsai, Chen, Ching-Shyang   +3 more
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A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation

Numerical Mathematics: Theory, Methods and Applications, 2009
This paper is concerned with the Cauchy problem for the modified Helmholtz equation in an infinite strip domain $0
Shi, R., Wei, T., Qin, H. H.
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A wavelet collocation method for boundary integral equations of the modified Helmholtz equation

Applied Mathematics and Computation, 2018
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Xiangling Chen, Ziqing Xie, Jianshu Luo
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A modified Galerkin FEM for 1D Helmholtz equations

Applied Acoustics, 2013
Abstract A method is presented that aims to eliminate the numerical errors inherent in the standard Galerkin finite element method (GFEM) for solving homogeneous Helmholtz equations. An error analysis of the standard GFEM with linear elements is first performed by using the concept of truncation error in finite difference methods, and then the ...
Hui Zheng, Richard C. Cai, L.S. Pan
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