Hexagonal vs. rectilinear grids for explicit finite difference schemes for the two-dimensional wave equation

Brian Hamilton; Stefan Bilbao

doi:10.1121/1.4806369

Hexagonal vs. rectilinear grids for explicit finite difference schemes for the two-dimensional wave equation

The Journal of the Acoustical Society of America ◽

10.1121/1.4806369 ◽

2013 ◽

Vol 133 (5) ◽

pp. 3532-3532

Author(s):

Brian Hamilton ◽

Stefan Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Explicit Finite Difference ◽

Dimensional Wave

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Hexagonal vs. rectilinear grids for explicit finite difference schemes for the two-dimensional wave equation

10.1121/1.4800308 ◽

2013 ◽

Cited By ~ 6

Author(s):

Brian Hamilton ◽

Stefan Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Explicit Finite Difference ◽

Dimensional Wave

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New explicit finite difference schemes for two-dimensional diffusion subject to specification of mass

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199907)15:4<521::aid-num7>3.0.co;2-r ◽

1999 ◽

Vol 15 (4) ◽

pp. 521-534 ◽

Cited By ~ 19

Author(s):

B. J. Noye ◽

M. Dehghan

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Dimensional Diffusion ◽

Explicit Finite Difference

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Optimised 25-point finite difference schemes for the three-dimensional wave equation

10.1121/2.0000455 ◽

2016 ◽

Cited By ~ 3

Author(s):

Brian Hamilton ◽

Stefan Bilbao

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Three Dimensional ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Dimensional Wave

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Finite difference schemes for the two‐dimensional semilinear wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22297 ◽

2018 ◽

Vol 35 (1) ◽

pp. 200-221 ◽

Cited By ~ 2

Author(s):

Talha Achouri

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Semilinear Wave Equation

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Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.04.012 ◽

2018 ◽

Vol 367 ◽

pp. 134-165 ◽

Cited By ~ 8

Author(s):

Stefan Bilbao ◽

Brian Hamilton

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

The Many ◽

Dimensional Wave

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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A Comparison of Finite Difference Schemes, Describing the Two-Dimensional Advection Equation

Air Pollution Modeling and Its Application I ◽

10.1007/978-1-4613-3344-9_27 ◽

1981 ◽

pp. 411-416 ◽

Cited By ~ 1

Author(s):

B. J. de Haan

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Equation ◽

Two Dimensional

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Unconditionally positive finite difference and standard explicit finite difference schemes for power flow equation

University thought - Publication in Natural Sciences ◽

10.5937/univtho9-23312 ◽

2019 ◽

Vol 9 (2) ◽

pp. 75-78

Author(s):

Branko Drljača ◽

Svetislav Savović

Keyword(s):

Finite Difference ◽

Power Flow ◽

Flow Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Explicit Finite Difference

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Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling

Journal of Computational Physics ◽

10.1016/j.jcp.2016.09.019 ◽

2016 ◽

Vol 326 ◽

pp. 913-930 ◽

Cited By ~ 6

Author(s):

Hongyong Yan ◽

Lei Yang ◽

Xiang-Yang Li

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Difference Schemes ◽

Staggered Grid ◽

Equation Modeling ◽

Finite Difference Schemes

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