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Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and;

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Introduction to the Fast Multipole Method

covers the topics of Laplace's equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and;

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Introduction to the Fast Multipole Method

covers the topics of Laplace's equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and;

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Fast Multipole Boundary Element Method

, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three;

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Fast Multipole Boundary Element Method

, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three;

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The Generalized Multipole Technique for Light Scattering

solution of a boundary-value problem for a given differential equation by expanding the fields in terms of fundamental or other singular solutions;

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Strongly Elliptic Systems and Boundary Integral Equations

chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to;

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Strongly Elliptic Systems and Boundary Integral Equations

chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to;

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Integral Equation Methods for Electromagnetic and Elastic Waves

knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important;

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The Method of Moments in Electromagnetics

Multipole Method (FMM), as well as the Multi-Level Fast Multipole Algorithm (MLFMA).;

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Metaharmonic Lattice Point Theory

arbitrary lattices, the Helmholtz wave equation must be converted into an associated integral equation using Green's functions as bridging tools;

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Metaharmonic Lattice Point Theory

arbitrary lattices, the Helmholtz wave equation must be converted into an associated integral equation using Green's functions as bridging tools;

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Mathematical Methods for Physics

and Helmholtz equations in the three main coordinate systems, rectilinear, cylindrical, and spherical and develops the solution space for;

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Mathematical Methods for Physics

and Helmholtz equations in the three main coordinate systems, rectilinear, cylindrical, and spherical and develops the solution space for;

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

Methods for Solving Elliptic and Parabolic Equation is divided into three parts: Part I focuses on the application of DG methods to second order;

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Numerical Methods Think before You Comp

a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables;

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Derivation of Q-Analogs for the Radial Schrodinger-Equation in N Space-Dimensions

Derivation of Q-Analogs for the Radial Schrodinger-Equation in N Space-Dimensions;

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Think Before You Compute

a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables;

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Current Distribution on Linear Thin Wire Antenna

algorithm for solving the famous Hallen's and Pocklington's integral equations of a finite-length linear thin wire antenna which is energized by;

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Wave Propagation in Complex Media

of seismic power. Several chapters describe numerical methods, such as fast algorithms for solving electromagnetic scattering problems, and the panel;

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Cambridge Monographs on Applied and Computational Mathematics

a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and;

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Cambridge Monographs on Applied and Computational Mathematics

a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and;

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Boundary Element Methods With Applications To Nonlinear Problems (2nd Edition)

mathematical formulations of boundary integral equations (BIE) for the most important linear elliptic boundary value problems (BVP) including, the;

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Tensor Numerical Methods in Scientific Computing

computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and;

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Green's Functions with Applications

Green's functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number;

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Green'S Functions With Applications

Green's functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number;

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Computational Methods For Electromagnetics

> Open-region finite-element formulations based on the scalar and vector Helmholtz equations Finite difference time-domain methods;

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