Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction

Optics Letters ◽

10.1364/ol.16.000787 ◽

1991 ◽

Vol 16 (11) ◽

pp. 787 ◽

Author(s):

R. P. Ratowsky ◽

J. A. Fleck

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Accurate Numerical Solution

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Higher order accurate numerical solution of Nagumo equation

10.1063/5.0045760 ◽

2021 ◽

Author(s):

Sobin Thomas ◽

Gopika P. B. ◽

Suresh Kumar Nadupuri

Keyword(s):

Numerical Solution ◽

Higher Order ◽

Nagumo Equation ◽

Accurate Numerical Solution

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Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.013 ◽

2021 ◽

Author(s):

Olha Ivanyshyn Yaman ◽

Gazi Özdemir

Keyword(s):

Boundary Value Problem ◽

Helmholtz Equation ◽

Numerical Solution ◽

Boundary Value ◽

Two Dimensions ◽

Modified Helmholtz Equation

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Numerical solution of 3-D Neuman problem for scalar Helmholtz equation at the bodies of complex shapes

MMET 96 VIth International Conference on Mathematical Methods in Electromagnetic Theory Proceedings MMET-96 ◽

10.1109/mmet.1996.565728 ◽

2002 ◽

Author(s):

I. Lifanov ◽

I. Lifanov ◽

S. Novikov

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

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A direct numerical solution to a one-dimensional helmholtz equation

Journal of Computational Physics ◽

10.1016/0021-9991(69)90062-x ◽

1969 ◽

Vol 3 (4) ◽

pp. 544-546 ◽

Author(s):

James J O'brien

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

One Dimensional ◽

Direct Numerical Solution

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Numerical solution of iterative parabolic equations approximating the nonlinear Helmholtz equation

2018 Days on Diffraction (DD) ◽

10.1109/dd.2018.8553359 ◽

2018 ◽

Author(s):

Pavel S. Petrov ◽

Andrey G. Tyshchenko ◽

Matthias Ehrhardt

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Parabolic Equations

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Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00094-1 ◽

1996 ◽

Vol 19 (4) ◽

pp. 495-508 ◽

Author(s):

Chun-Hua Guo

Keyword(s):

Helmholtz Equation ◽

Numerical Solution ◽

Linear Systems ◽

Incomplete Block ◽

Block Factorization

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On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner

Applied Mathematics and Computation ◽

10.1016/0096-3003(86)90101-3 ◽

1986 ◽

Vol 19 (1-4) ◽

pp. 145-157 ◽

Author(s):

Kirk E. Jordan ◽

George C. Papanicolaou ◽

R. Spigler

Keyword(s):

Helmholtz Equation ◽

Numerical Solution

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GREEN FUNCTION DISCRETIZATION FOR NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION

Journal of Sound and Vibration ◽

10.1006/jsvi.1995.0544 ◽

1995 ◽

Vol 187 (4) ◽

pp. 553-568 ◽

Author(s):

J.E. Caruthers ◽

J.C. French ◽

G.K. Raviprakash

Keyword(s):

Green Function ◽

Helmholtz Equation ◽

Numerical Solution

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Accurate Numerical Solution of Charged Particle Motion in a Magnetic Field

Journal of Computational Physics ◽

10.1006/jcph.1995.1037 ◽

1995 ◽

Vol 116 (2) ◽

pp. 384-387 ◽

Author(s):

H.X. Vu ◽

J.U. Brackbill

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Numerical Solution ◽

Particle Motion ◽

Charged Particle Motion ◽

Accurate Numerical Solution

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Accurate numerical solution of initial value problems for the time dependent convection-diffusion equation

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)90027-9 ◽

2003 ◽

Vol 16 (6) ◽

pp. 981-984

Author(s):

R. Company ◽

L. Jódar ◽

E. Ponsoda

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Initial Value Problems ◽

Time Dependent ◽

Initial Value ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Accurate Numerical Solution

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