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FAST MULTISCALE GAUSSIAN WAVEPACKET TRANSFORMS AND MULTISCALE GAUSSIAN BEAMS FOR THE WAVE EQUATION
ast multiscale Gaussian wavepacket transforms multiscale Gaussian beams wave equations
2015/7/14
We introduce a new multiscale Gaussian beam method for the numerical solution of the wave equation with smooth variable coefficients. The first computational question addressed in this paper is how to...
A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation
Multiscale Gaussian beams Multiscale Gaussian wave packets Phase space transform Wave equations
2015/7/14
The Gaussian beam method is an asymptotic method for wave equations with highly oscillatory data. In a recent published paper by two of the authors, a multiscale Gaussian beam method was first propose...
Asymptotics of the solutions of the stochastic lattice wave equation
solutions stochastic lattice wave equation
2015/7/14
We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-...
Numerical solution of regularized long wave equation by reduced differential transform method
Reduced differential transform method Adomian decomposition method Variational iteration method
2010/9/25
In this paper, a general framework of the reduced differential transform method is presented for solving the regularized long wave (RLW) equation. In this method, the solution is calculated in the for...
Exponential fitting of the damped wave equation
damped wave equation exponential fitting stability analysis
2010/9/26
Herein, the Control Region Approximation [1, 2] is applied to the damped wave equation both with and without exponential fitting [3]. It is shown that exponential fitting is advantageous as regards th...
An inverse problem for the wave equation with one measurement and the pseudorandom noise
the wave equation measurement the pseudorandom noise
2010/11/18
We consider the wave equation $(\p_t^2-\Delta_g)u(t,x)=f(t,x)$, in $\R^n$, $u|_{\R_-\times \R^n}=0$, where the metric $g=(g_{jk}(x))_{j,k=1}^n$ is known outside an open and bounded set $M\subset \R^n...
Energy Decay of Solutions of a Wave Equation of $p$-Laplacian Type with a Weakly Nonlinear Dissipation
Wave equation of $p$-Laplacian type Decay rate
2008/7/1
In this paper we study decay properties of the solutions to the wave equation of p-Laplacian type with a weak nonlinear dissipative.
An alternative exact solution method for the reduced wave equation with a variable coefficient
Helmholtz equation Differential equation
2010/9/16
In this paper we present the exact solution of reduced wave equation with a variable coefficient Δu(x) + k2n(x)u(x) = 0 for n(x) = n(r) ,r = |x| by the solution of a classic Riccati differential equat...
Linearization Ill-Posedness for 2.5-D Wave Equation Inversion Model
Linearization inversion integral geometry
2007/12/11
0}, we consider the inverse problem of determining the density function p(x, y). The inversion input for our inverse problem is the wave field given on a line. We get an integral equation for the 2-D ...
Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation
multisymplectic structure multisymplectic schemes
2007/12/11
The multisymplectic structure of the nonlinear wave wquation is derived directly from the variational principle. In the numerical aspect, we present a multisymplectic nine points scheme which is equiv...