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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Direct sampling method to inverse wave-number-dependent source problems: determination of the support of a stationary source
反波数 相关源问题 直接采样 固定源
2023/11/29
This talk is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term is given by the Fourie...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Space-time finite and boundary element methods for the wave equation
波动方程 时空有限元 边界元方法
2023/4/21
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problems for stochastic wave equations
随机波动方程 反问题 随机偏微分方程
2023/4/25
Stochastic wave equations describe wave motion in random environments that is common in realistic situations. In this talk, I will present our recent studies on the inverse source and potential proble...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The N-periodic wave solutions of some coupled bilinear equations
耦合 双线性方程 N周期波解
2023/4/26
In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-...
The Sino-French International Associated Laboratory for Applied Mathematics (LIASFMA) is pleased to announce the School and Workshop on Harmonic Analysis and Wave Equations at Fudan University, Shangh...
Workshop on Harmonic Analysis and Wave Equations
Workshop Harmonic Analysis and Wave Equations
2017/1/10
The Sino-French International Associated Laboratory for Applied Mathematics (LIASFMA) is pleased to announce the School and Workshop on Harmonic Analysis and Wave Equations at Fudan University, Shangh...
Curvelets and Wave Atoms for Mirror-Extended Images
Curvelets Wave Atoms Mirror-Extended Images
2015/7/15
We present variants of both the digital curvelet transform, and the digital wave atom transform, which handle the image boundaries by mirror extension. Previous versions of these transforms treated im...
Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
Scattering in Flatland: Efficient Representations via Wave Atoms
Fast algorithm Wave propagation Boundary integral equation Computational harmonic analysis
2015/7/14
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis ...
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...
FAST WAVE COMPUTATION VIA FOURIER INTEGRAL OPERATORS
Wave equations Fourier integral operators discrete symbol calculus random sampling separated approximation multiscale computations
2015/7/14
This paper presents a numerical method for “time upscaling” wave equations, i.e., performing time steps not limited by the Courant-FriedrichsLewy (CFL) condition. The proposed method leverages recent ...
We consider the problem of constructing a wave extrapolation operator in a variable and possibly anisotropic medium. Our construction involves Fourier transforms in space combined with the help of a l...
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...