A BOUNDARY INTEGRAL EQUATION FORMULATION FOR THE HELMHOLTZ EQUATION IN A LOCALLY PERTURBED HALF-PLANE SIMON N. CHANDLER–WILDE DEPARTMENT OF MATHEMATICS AND STATISTICS, BRUNEL UNIVERSITY, UXBRIDGE, MIDDLESEX, UNITED KIN

Source URL: www.personal.rdg.ac.uk

Nonlinear Analysis and Differential Equations, Vol. 4, 2016, no. 8, HIKARI Ltd, www.m-hikari.com http://dx.doi.orgnadeThe Solution of the Helmholtz Equation Using Lattice-Boltzmann Techniqu

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Simulation of Laser Beam Propagation With a Paraxial Model in a Tilted Frame Marie Doumic ∗

Source URL: www.rocq.inria.fr

• Mathematical analysis
• Mathematics
• Generalized functions
• Functional analysis
• Fourier analysis
• Elliptic partial differential equations
• Mathematical physics
• Helmholtz equation
• Differential equation
• Envelope
• Distribution
• Fourier transform

Dielectric Waveguide Peter Hertel Modes Two field components

Source URL: iap.nankai.edu.cn

• Wave mechanics
• Electromagnetic radiation
• Electrodynamics
• Optics
• Electrical components
• Helmholtz equation
• Waveguide
• Transverse mode

Linear Waveguides Peter Hertel Modes Two field components

Source URL: iap.nankai.edu.cn

• Electrodynamics
• Optics
• Wave mechanics
• Electrical components
• Mathematical physics
• Helmholtz equation
• Waveguide
• Eigenvalues and eigenvectors
• Equation solving
• Equation

Exponential Splitting for n-Dimensional Paraxial Helmholtz Equation with High Wavenumbers Qin Sheng†,1 and Hai-Wei Sun‡,2 † Department of Mathematics and Center for Astrophysics, Space Physics and

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MULTISCALE MODEL. SIMUL. Vol. 9, No. 2, pp. 686–710 © 2011 Society for Industrial and Applied Mathematics SWEEPING PRECONDITIONER FOR THE HELMHOLTZ EQUATION:

Source URL: math.stanford.edu

1 2 RECURSIVE SWEEPING PRECONDITIONER FOR THE 3D HELMHOLTZ EQUATION∗

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Sweeping Preconditioner for the Helmholtz Equation: Hierarchical Matrix Representation BJÖRN ENGQUIST Department of Mathematics and ICES, University of Texas at Austin LEXING YING

Source URL: math.stanford.edu

arXiv:1504.04058v1 [math.NA] 15 AprAdditive Sweeping Preconditioner for the Helmholtz Equation Fei Liu] and Lexing Ying†] † Department of Mathematics, Stanford University ] Institute for Computational and Math

Source URL: math.stanford.edu