A FOURTH ORDER ACCURATE FAST DIRECT METHOD FOR THE HELMHOLTZ EQUATION

Elliptic Problem Solvers ◽

10.1016/b978-0-12-100560-3.50008-1 ◽

1984 ◽

pp. 35-44 ◽

Author(s):

Ronald F. Boisvert

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Direct Method ◽

Fast Direct Method

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A fast direct method for solving the two-dimensional Helmholtz equation, with Robbins boundary conditions

Fast Algorithms for Structured Matrices: Theory and Applications - Contemporary Mathematics ◽

10.1090/conm/323/05704 ◽

2003 ◽

pp. 187-204 ◽

Author(s):

Jef Hendrickx ◽

Raf Vandebril ◽

Marc Van Barel

Keyword(s):

Boundary Conditions ◽

Helmholtz Equation ◽

Direct Method ◽

Two Dimensional ◽

Fast Direct Method

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A fast direct method of solving hermitian fourth-order finite-element schemes for the poisson equation

Journal of Mathematical Sciences ◽

10.1007/bf02367727 ◽

1995 ◽

Vol 74 (6) ◽

pp. 1371-1376 ◽

Author(s):

S. I. Solov’ev

Keyword(s):

Finite Element ◽

Poisson Equation ◽

Fourth Order ◽

Direct Method ◽

The Poisson Equation ◽

Finite Element Schemes ◽

Fast Direct Method

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Iterative vs. a direct method for solving fourth order elliptic difference equations

Communications of the ACM ◽

10.1145/365719.366373 ◽

1966 ◽

Vol 9 (7) ◽

pp. 475

Author(s):

Louis W. Ehrlich

Keyword(s):

Fourth Order ◽

Difference Equations ◽

Direct Method ◽

Elliptic Difference ◽

A Direct Method

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A Fast Direct Method for the Least Squares Solution of Slightly Overdetermined Sets of Linear Equations

IMA Journal of Applied Mathematics ◽

10.1093/imamat/24.2.149 ◽

1979 ◽

Vol 24 (2) ◽

pp. 149-156 ◽

Author(s):

L. M. Delves ◽

I. BARRODALE

Keyword(s):

Least Squares ◽

Direct Method ◽

Linear Equations ◽

Least Squares Solution ◽

Fast Direct Method

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A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions

ACM Transactions on Mathematical Software ◽

10.1145/29380.29863 ◽

1987 ◽

Vol 13 (3) ◽

pp. 221-234 ◽

Author(s):

Ronald F. Boisvert

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Fourier Method ◽

Three Dimensions

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A more accurate direct method for the solution of boundary problems for the Helmholtz equation on a net of points in a rectangle

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90017-5 ◽

1964 ◽

Vol 4 (4) ◽

pp. 208-211

Author(s):

S.V. Nemchinov ◽

S.L. Libov

Keyword(s):

Helmholtz Equation ◽

Direct Method ◽

Boundary Problems

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A fourth-order numerical method for the one-dimensional nonlinear Helmholtz equation with multilayered material

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.03.020 ◽

2010 ◽

Author(s):

Shenggao Zhou ◽

Xiaoliang Cheng

Keyword(s):

Helmholtz Equation ◽

Numerical Method ◽

Fourth Order ◽

One Dimensional ◽

Multilayered Material ◽

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ANOVA Model Fitting via Sparse Matrix Computations: A Fast Direct Method

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0910006 ◽

1989 ◽

Vol 10 (1) ◽

pp. 58-71

Author(s):

George Ostrouchov

Keyword(s):

Sparse Matrix ◽

Direct Method ◽

Model Fitting ◽

Matrix Computations ◽

Anova Model ◽

Fast Direct Method

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A single-level implementation for a fast direct method of moments solver on electrically large scattering problems using a GPU based Reduced Singular Value Decomposition block LU factorization

2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2015.7303430 ◽

2015 ◽

Author(s):

M. Horn ◽

T. Killian ◽

D. Faircloth

Keyword(s):

Singular Value Decomposition ◽

Method Of Moments ◽

Direct Method ◽

Singular Value ◽

Lu Factorization ◽

Scattering Problems ◽

Single Level ◽

Block Lu Factorization ◽

Value Decomposition ◽

Fast Direct Method

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Fourth‐order compact schemes for the Helmholtz equation

10.1190/1.1817064 ◽

2002 ◽

Author(s):

Seongjai Kim

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Compact Schemes

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