High-Order Schemes for Acoustic Waveform Simulation

  title={High-Order Schemes for Acoustic Waveform Simulation},
  author={Seongjai Kim},
This article introduces a new fourth-order implicit time-stepping scheme for the numerical solution of the acoustic wave equation, as a variant of the conventional modified equation method. For an efficient simulation, the scheme incorporates a locally onedimensional (LOD) procedure having the splitting error of O( t4). Its stability and accuracy are compared with those of the standard explicit fourth-order scheme. It has been observed from various experiments for 2D problems that (a) the… CONTINUE READING
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Numerical-analytical algorithm of seismic wave propagation in inhomogeneous media

  • G. Konyukh, Y. Krivtsov, B. Mikhailenko
  • Appl. Math. Lett. 11
  • 1998

Dispersion analysis of numerical wave propagation and its computational consequences

  • A. Sei, W. Symes
  • J. Sci. Comput. 10
  • 1995

Construction and analysis of higher order finite elements with mass lumping for the wave equation

  • G. Cohen, P. Joly, N. Tordjman
  • in: R. Kleinman, T. Angell, D. Colton, F. Santosa…
  • 1993
1 Excerpt

Fourth order schemes for the heterogeneous acoustics equation

  • G. Cohen, P. Joly
  • Comput. Methods Appl. Mech. Engrg. 80
  • 1990

A modified equation approach to construction fourth order methods for acoustic wave equations

  • G. Shubin, J. Bell
  • SIAM J. Sci. Statist. Comput. 8
  • 1987

Current development in the numerical treatment of ocean acoustic propagation

  • W. Ames, D. Lee
  • Appl. Numer. Math. 3
  • 1987

Numerical Solutions of Partial Differential Equations by the Finite Element Method

  • C. Johnson
  • Cambridge University Press, New York
  • 1987
1 Excerpt

A review of numerical methods in acoustic wave propagation

  • S. Candel
  • in: A. Krothapalli, C.A. Smith (Eds.), Recent…
  • 1986

On the numerical integration of ∂ 2u ∂x2 + ∂2u ∂y2 = ∂u ∂t by implicit methods

  • J. Douglas
  • J. Soc. Indust. Appl. Math. 3
  • 1955

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