High-order accurate and high-speed calculation system of 1D Laplace and Poisson equations using the interpolation finite difference method

Tsugio Fukuchi

doi:10.1063/1.5096395

High-order accurate and high-speed calculation system of 1D Laplace and Poisson equations using the interpolation finite difference method

AIP Advances ◽

10.1063/1.5096395 ◽

2019 ◽

Vol 9 (5) ◽

pp. 055312 ◽

Cited By ~ 2

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Speed ◽

High Order ◽

Poisson Equations ◽

Calculation System

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High-Order Accurate and High-Speed Calculation System of 1D Laplace and Poisson Equations Using the Interpolation Finite Difference Method

Prime Archives in Physical Sciences ◽

10.37247/paphys.1.2020.7 ◽

2020 ◽

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Speed ◽

High Order ◽

Poisson Equations ◽

Calculation System

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Modelling Seismic Wave Propagation in Heterogeneous Poroelastic Media Using a High-Order Staggered Finite-Difference Method

Chinese Journal of Geophysics ◽

10.1002/cjg2.441 ◽

2003 ◽

Vol 46 (6) ◽

pp. 1206-1217 ◽

Cited By ~ 12

Author(s):

Xiuming WANG ◽

Hailan ZHANG ◽

Dong WANG

Keyword(s):

Wave Propagation ◽

Finite Difference ◽

Finite Difference Method ◽

Seismic Wave ◽

Difference Method ◽

Seismic Wave Propagation ◽

High Order ◽

Poroelastic Media

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Numerical Solutions to Poisson Equations Using the Finite-Difference Method [Education Column]

IEEE Antennas and Propagation Magazine ◽

10.1109/map.2014.6931698 ◽

2014 ◽

Vol 56 (4) ◽

pp. 209-224 ◽

Cited By ~ 13

Author(s):

James R. Nagel

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Numerical Solutions ◽

Poisson Equations ◽

The Finite Difference Method

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Staggered-Grid High-Order Finite-Difference Method in Elastic Wave Simulation with Variable Grids and Local Time-Steps

Chinese Journal of Geophysics ◽

10.1002/cjg2.1457 ◽

2009 ◽

Vol 52 (6) ◽

pp. 1324-1333 ◽

Cited By ~ 9

Author(s):

Chao HUANG ◽

Liang-Guo DONG

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Elastic Wave ◽

Local Time ◽

Difference Method ◽

High Order ◽

Staggered Grid ◽

Wave Simulation ◽

High Order Finite Difference

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Axial vibration analysis of nanorods with variable density based on nonlocal elastic theory and high-order finite difference method

Journal of Computational Science ◽

10.1016/j.jocs.2021.101452 ◽

2021 ◽

pp. 101452

Author(s):

Y.P. Zhang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Vibration Analysis ◽

Variable Density ◽

High Order ◽

Elastic Theory ◽

Axial Vibration ◽

High Order Finite Difference ◽

Nonlocal Elastic Theory

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A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model

SIAM Journal on Scientific Computing ◽

10.1137/18m1172739 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3322-A3343 ◽

Cited By ~ 3

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

High Order ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

CALCOLO ◽

10.1007/s10092-021-00443-4 ◽

2021 ◽

Vol 58 (4) ◽

Author(s):

Fazlollah Soleymani ◽

Shengfeng Zhu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

High Order ◽

Radial Basis

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An Immersed Boundary Method for Shock Wave-solid Body Interactions using a High-order Finite Difference Method

Proceedings of the 32nd International Symposium on Shock Waves (ISSW32 2019) ◽

10.3850/978-981-11-2730-4_0309-cd ◽

2019 ◽

Author(s):

B. J. Olson

Keyword(s):

Shock Wave ◽

Finite Difference ◽

Finite Difference Method ◽

Solid Body ◽

Difference Method ◽

Immersed Boundary Method ◽

High Order ◽

Immersed Boundary ◽

Boundary Method ◽

High Order Finite Difference

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A New High Order Accurate, Finite Difference Method on Quasi-variable Meshes for the Numerical Solution of Three Dimensional Poisson Equation

Differential Equations and Dynamical Systems ◽

10.1007/s12591-019-00475-x ◽

2019 ◽

Author(s):

Neelesh Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Poisson Equation ◽

Difference Method ◽

Three Dimensional ◽

High Order

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Solving the linearized forward-speed radiation problem using a high-order finite difference method on overlapping grids

Applied Ocean Research ◽

10.1016/j.apor.2017.11.001 ◽

2017 ◽

Vol 69 ◽

pp. 220-244 ◽

Cited By ~ 2

Author(s):

Mostafa Amini-Afshar ◽

Harry B. Bingham

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

High Order ◽

Forward Speed ◽

Radiation Problem ◽

Overlapping Grids ◽

High Order Finite Difference

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