FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION

Brian Hamilton; Stefan Bilbao

FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper investigates some fourth-order accurate explicit finite
difference schemes for the 2-D wave equation obtained using 13-,
17-, 21-, and 25-point discrete Laplacians. Optimisation is conducted
in order to minimise numerical dispersion and computational
costs. New schemes are presented that are more computationally
efficient than nine-point explicit schemes at maintaining
less than one percent wave speed error up to some critical frequency.
Simulation results are presented.

Original language	English
Title of host publication	Proceedings of the 16th International Conference on Digital Audio Effects
Place of Publication	Maynooth, Ireland
Number of pages	8
Publication status	Published - Sept 2013

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Fourth-Order and Optimised Finite Different Schemes for the 2-D Wave Equation
© Hamilton, B., & Bilbao, S. (2013). FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION. In Proceedings of the 16th International Conference on Digital Audio Effects. Maynooth, Ireland.
Final published version, 1.72 MB

http://dafx13.nuim.ie/papers/23.dafx2013_submission_64.pdf

NESS - Listening to the future: Next-generation Sound Synthesis through Simulation
Bilbao, S. (Principal Investigator)
EU government bodies
1/01/12 → 31/12/16
Project: Research

Cite this

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title = "FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION",

abstract = "This paper investigates some fourth-order accurate explicit finite difference schemes for the 2-D wave equation obtained using 13-, 17-, 21-, and 25-point discrete Laplacians. Optimisation is conducted in order to minimise numerical dispersion and computational costs. New schemes are presented that are more computationally efficient than nine-point explicit schemes at maintaining less than one percent wave speed error up to some critical frequency. Simulation results are presented.",

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N2 - This paper investigates some fourth-order accurate explicit finite difference schemes for the 2-D wave equation obtained using 13-, 17-, 21-, and 25-point discrete Laplacians. Optimisation is conducted in order to minimise numerical dispersion and computational costs. New schemes are presented that are more computationally efficient than nine-point explicit schemes at maintaining less than one percent wave speed error up to some critical frequency. Simulation results are presented.

AB - This paper investigates some fourth-order accurate explicit finite difference schemes for the 2-D wave equation obtained using 13-, 17-, 21-, and 25-point discrete Laplacians. Optimisation is conducted in order to minimise numerical dispersion and computational costs. New schemes are presented that are more computationally efficient than nine-point explicit schemes at maintaining less than one percent wave speed error up to some critical frequency. Simulation results are presented.

M3 - Conference contribution

BT - Proceedings of the 16th International Conference on Digital Audio Effects

CY - Maynooth, Ireland

ER -

FOURTH-ORDER AND OPTIMISED FINITE DIFFERENCE SCHEMES FOR THE 2-D WAVE EQUATION

Abstract

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Projects

NESS - Listening to the future: Next-generation Sound Synthesis through Simulation

Cite this