Results 251 to 260 of about 63,372 (284)

The modified jump problem for the Helmholtz equation

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Let \(\Gamma\) be a set of a finite number of simple open curves in the plane. (A non-closed smooth arc of finite length without self-intersections is called simple open curve). \(\Gamma\) is considered as a set of cuts. The author considers the Helmholtz equation \(\Delta u+k^2u=0\) \((k=\text{const}\neq 0\), \(0\leq\arg ...
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Meshless method with ridge basis functions for modified Helmholtz equations

2010 Sixth International Conference on Natural Computation, 2010
A meshless method for modified Helmholtz equations has been developed by utilizing the collocation method and the ridge basis function interpolation. This method is a truly meshless technique without mesh discretization: it neither needs the computation of integrals, nor requires a partition of the region and its boundary.
Xinqiang Qin, Zhigang Wang, Baoshan Miao, Faning Dang   +3 more
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A wavelet collocation method for boundary integral equations of the modified Helmholtz equation

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiangling Chen, Ziqing Xie, Jianshu Luo
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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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Modified Helmholtz integral equation for bodies sitting on an infinite plane

The Journal of the Acoustical Society of America, 1989
This article presents a modified version of the Helmholtz integral equation for bodies sitting on an infinite plane. By using dummy integration elements on the bottom surface, the coefficient C(P) of the Helmholtz integral equation can be evaluated by a closed contour.
A. F. Seybert, T. W. Wu
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Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations

Engineering Analysis with Boundary Elements, 1995
Abstract The higher order 3-D fundamental solutions to the Helmholtz and the modified Helmholtz equations have been derived. The Lth order fundamental solution for the 3-D Helmholtz equation has the form of a spherical Bessel function multiplied by a distance to the power L.
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On modified Green functions in exterior problems for the Helmholtz equation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1982
The question of non-uniqueness in boundary integral equation formu­lations of exterior problems for the Helmholtz equation has recently been resolved with the use of additional radiating multipoles in the definition of the Green function. The present note shows how this modification may be included in a rigorous formalism and presents an explicit ...
Kleinman, R. E., Roach, G. F.
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A Fourth-Order Kernel-Free Boundary Integral Method for the Modified Helmholtz Equation

Journal of Scientific Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaning Xie, Wenjun Ying
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Chimeric antigen receptor T‐cell therapy in multiple myeloma: A comprehensive review of current data and implications for clinical practice

Ca-A Cancer Journal for Clinicians, 2023

exaly  

Emerging exciton physics in transition metal dichalcogenide heterobilayers

Nature Reviews Materials, 2022
Emma C Regan, Yongxin Zeng, Long Zhang
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