A fast implicit variable speed 2D wave equation solver

2016 ◽  
Author(s):  
M. Thavappiragasam ◽  
A. Viswanathan ◽  
A. Christlieb
Keyword(s):  
Wave Equation ◽  
Variable Speed

Isospectral sets for transmission eigenvalue problem

2020 ◽  
Vol 28 (1) ◽  
pp. 63-69 ◽  
Author(s):  
Chuan-Fu Yang ◽  
Sergey A. Buterin
Keyword(s):  
Wave Equation ◽  
Eigenvalue Problem ◽  
Wave Speed ◽  
Spherically Symmetric ◽  
Variable Speed ◽  
Transmission Eigenvalues ◽  
Constructive Methods ◽  
Transmission Eigenvalue ◽  
Symmetric Variable ◽  
Transmission Eigenvalue Problem

AbstractWe consider the boundary value problem {R(a,q)}: {-y^{\prime\prime}(x)+q(x)y(x)=\lambda y(x)} with {y(0)=0} and {y(1)\cos(a\sqrt{\lambda})=y^{\prime}(1)\frac{\sin(a\sqrt{\lambda})}{\sqrt{% \lambda}}}. Motivated by the previous work [T. Aktosun and V. G. Papanicolaou, Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation, Inverse Problems 29 2013, 6, Article ID 065007], it is natural to consider the following interesting question: how does one characterize isospectral sets corresponding to problem {R(1,q)}? In this paper applying constructive methods we answer the above question.

Homogenization of the variable-speed wave equation

Wave Motion ◽  
2010 ◽  
Vol 47 (8) ◽  
pp. 496-507 ◽  
Author(s):  
Roger Grimshaw ◽  
Dmitry Pelinovsky ◽  
Efim Pelinovsky
Keyword(s):  
Wave Equation ◽  
Variable Speed
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