High-order doubly asymptotic open boundaries for scalar wave equation

2009 ◽  
Vol 79 (3) ◽  
pp. 340-374 ◽  
Author(s):  
Suriyon Prempramote ◽  
Chongmin Song ◽  
Francis Tin-Loi ◽  
Gao Lin
Keyword(s):  
Wave Equation ◽  
High Order ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
Open Boundaries

A stability formula for Lax-Wendroff methods with fourth-order in time and general-order in space for the scalar wave equation

Geophysics ◽  
2011 ◽  
Vol 76 (2) ◽  
pp. T37-T42 ◽  
Author(s):  
Jing-Bo Chen
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Fourth Order ◽  
Second Order ◽  
High Order ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
General Order ◽  
Second Order In Time ◽  
Spatial Derivatives

Based on the formula for stability of finite-difference methods with second-order in time and general-order in space for the scalar wave equation, I obtain a stability formula for Lax-Wendroff methods with fourth-order in time and general-order in space. Unlike the formula for methods with second-order in time, this formula depends on two parameters: one parameter is related to the weights for approximations of second spatial derivatives; the other parameter is related to the weights for approximations of fourth spatial derivatives. When discretizing the mixed derivatives properly, the formula can be generalized to the case where the spacings in different directions are different. This formula can be useful in high-accuracy seismic modeling using the scalar wave equation on rectangular grids, which involves both high-order spatial discretizations and high-order temporal approximations. I also prove the instability of methods obtained by applying high-order finite-difference approximations directly to the second temporal derivative, and this result solves the “Bording’s conjecture.”

Seismic scalar wave equation with variable coefficients modeling by a new convolutional differentiator

2010 ◽  
Vol 181 (11) ◽  
pp. 1850-1858 ◽  
Author(s):  
Xiaofan Li ◽  
Tong Zhu ◽  
Meigen Zhang ◽  
Guihua Long
Keyword(s):  
Wave Equation ◽  
Variable Coefficients ◽  
Scalar Wave ◽  
Scalar Wave Equation

scholarly journals MOTION OF MASSIVE AND MASSLESS TEST PARTICLES IN DYADOSPHERE GEOMETRY

2009 ◽  
Vol 24 (16) ◽  
pp. 1277-1287 ◽  
Author(s):  
B. RAYCHAUDHURI ◽  
F. RAHAMAN ◽  
M. KALAM ◽  
A. GHOSH
Keyword(s):  
Wave Equation ◽  
Test Particle ◽  
Massless Particle ◽  
Jacobi Method ◽  
Scalar Wave ◽  
Scalar Wave Equation ◽  
Test Particles

Motion of massive and massless test particle in equilibrium and nonequilibrium case is discussed in a dyadosphere geometry through Hamilton–Jacobi method. Scalar wave equation for massless particle is analyzed to show the absence of superradiance in the case of dyadosphere geometry.

Modal methods for the scalar wave equation

1983 ◽  
pp. 640-655 ◽  
Author(s):  
Allan W. Snyder ◽  
John D. Love
Keyword(s):  
Wave Equation ◽  
Scalar Wave ◽  
Scalar Wave Equation
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