A recipe for stability of finite-difference wave-equation computations

被引：44

作者：

Lines, LR

Slawinski, R

Bording, RP

机构：

[1] Univ Calgary, Dept Geol & Geophys, Calgary, AB T2N 1N4, Canada

[2] PGS SERES Inc, Houston, TX 77079 USA

来源：

GEOPHYSICS | 1999年 / 64卷 / 03期

关键词：

D O I：

10.1190/1.1444605

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

An account is given of a convenient recipe for insuring stability in finite-difference solutions to the wave equation. Along with a criterion for avoiding grid dispersion, this stability recipe allows to choose proper space and time sampling for the finite-difference computations used in seismic modeling and imaging.

引用

页码：967 / 969

页数：3

共 50 条

[1] FINITE-DIFFERENCE SOLUTION TO THE PARABOLIC WAVE-EQUATION
LEE, D
BOTSEAS, G
PAPADAKIS, JS
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1981, 70 (03): : 795 - 800
[2] THE CONVERGENCE OF FINITE-DIFFERENCE SCHEMES FOR THE WAVE-EQUATION
JOVANOVIC, BS
IVANOVIC, LD
SULI, EE
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (05): : T308 - T309
[3] STABILITY AND ACCURACY OF A FINITE-DIFFERENCE SCHEME FOR ELASTIC WAVE-EQUATION MODELING
NICOLETIS, L
BAMBERGER, A
DAUDIER, S
GOSSELIN, O
LAILLY, P
[J]. GEOPHYSICS, 1985, 50 (02) : 357 - 357
[4] EXACT FINITE-DIFFERENCE SCHEME FOR A SPHERICAL WAVE-EQUATION
MICKENS, RE
[J]. JOURNAL OF SOUND AND VIBRATION, 1995, 182 (02) : 342 - 344
[5] AN IMPLICIT FINITE-DIFFERENCE FORMULATION OF THE ELASTIC WAVE-EQUATION
EMERMAN, SH
SCHMIDT, W
STEPHEN, RA
[J]. GEOPHYSICS, 1982, 47 (11) : 1521 - 1526
[6] AN EXPLICIT FINITE-DIFFERENCE SOLUTION TO THE WAVE-EQUATION WITH VARIABLE VELOCITY
BENSON, AK
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 87 (01) : 47 - 60
[7] ACCURATE FINITE-DIFFERENCE OPERATORS FOR MODELING THE ELASTIC WAVE-EQUATION
JASTRAM, C
BEHLE, A
[J]. GEOPHYSICAL PROSPECTING, 1993, 41 (04) : 453 - 458
[8] APPLICATIONS OF ENERGY METHODS TO FINITE-DIFFERENCE SOLUTIONS OF THE PARABOLIC WAVE-EQUATION
MCDANIEL, ST
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1985, 11 (7-8) : 823 - 829
[9] AN EXPLICIT FINITE-DIFFERENCE SCHEME FOR SOLVING THE OCEAN ACOUSTIC PARABOLIC WAVE-EQUATION
PEGGION, G
OBRIEN, JJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1985, 11 (09) : 937 - 942
[10] A FINITE-DIFFERENCE TREATMENT OF INTERFACE CONDITIONS FOR THE PARABOLIC WAVE-EQUATION - THE HORIZONTAL INTERFACE
MCDANIEL, ST
LEE, D
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1982, 71 (04): : 855 - 858

← 1 2 3 4 5 →