Namely, we first examine the use of FFT in approximating polynomials with sines and cosines (also known as Fast Fourier Fit or FFF) and then derive and solve the heat and wave equations.doi:10.1142/9789812776006_0014ALKIVIADIS G. AKRITAS...
His topics include wave equations, the heat equation, properties of the Fourier transform, and conservation laws and shocks. A Course on Partial Differential Equations Some of these theoretical models were numerically validated by providing the solution of wave equations. Seismic numerical modeling techni...
The source and recorder positions are lowered by means of a phase shift, or a rotation of the phase angle of the Fourier coefficients. For applications with laterally invariant velocities, the equations governing the migration process are solved very accurately by the phase-shift method. The ...
Multigrid methods for two- and three-dimensional Poisson-type equations on the sphere The efficient solution of two- and three-dimensional Poisson- and Helmholtz-type equations on the sphere with multigrid methods is the subject of this work. The strong anisotropic behavior of the Laplacian in ...
Stability of the determination of a coefficient for wave equations in an infinite waveguide We consider the stability in the inverse problem consisting in the determination of an electric potential $q$, appearing in a Dirichlet initial-boundary va... Y Kian - 《Inverse Problems & Imaging》 被引...
Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed For a simple model of a scalar wave equation with a random wave speed, Gottlieb and Xiu [Commun. Comput. Phys., 3 (2008), pp. 505-518] employed the gen-era... T Tao,Z Tao -...
Practical, Theoretical or Mathematical/ cellular radio electromagnetic wave diffraction electromagnetic wave reflection electromagnetic wave scattering Fourier transforms parabolic equations radiowave propagation wave equations/ built-up terrain wave propagation FSS Fourier split-step solution PWE parabolic wave equat...
A 4脳4-system of integral equations for the Fourier transformed boundary values of the normal derivatives of the wave functions defined in the four quadran... Prof. Dr.,RNE Meister - 《Mathematical Methods in the Applied Sciences》 被引量: 16发表: 1986年 Long-time asymptotics of solutions ...
Bourgain, J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations. Geom. Funct. Anal.3(2), 107–156 (1993) MathSciNetGoogle Scholar Bourgain, J.: Periodic nonlinear Schrödinger equation and invariant measu...
Plane waves are satisfying wave equations in homogeneous media or in free space; therefore, one can say that plane waves are free-space modes.A monochromatic plane wave is most easily characterized by a wave vector, with which the wave field can be described as the complex amplitude...