Dynamical Low Rank approximation of PDEs with random parameters
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In this paper we introduce the framework of Partial difference Equations (PdEs) over graphs for analyzing the behavior of multiple agent formations equipped with decentralized control schemes. PdEs mimic Partial Differential Equations (PDEs) on graphs and ...
Mathematical and numerical aspects of free surface flows are investigated. On one hand, the mathematical analysis of some free surface flows is considered. A model problem in one space dimension is first investigated. The Burgers equation with diffusion ha ...
In order to better understand the sources of numerical instabilities occurring in the simulation of time-dependent flows of viscoelastic fluids at high Weissenberg numbers, we have used various types of linear stability analyses. In complement to the limit ...
This paper presents an application of the general sample-to-object approach to the problem of invariant image classification. The approach results in defining new SVM kernels based on tangent vectors that take into account prior information on known invari ...
We examine the merits of using prolate spheroidal wave functions (PSWFs) as basis functions when solving hyperbolic PDEs using pseudospectral methods. The relevant approximation theory is reviewed and some new approximation results in Sobolev spaces are es ...
Society for Industrial and Applied Mathematics2005
In this technical report the Discrete Wavelet Frames are build on the already existing Spherical Continuous Wavelet Transform. The spherical half-continuous frames are explored, i.e when the position on the sphere is kept continuous variable. Then, the con ...
We present a numerically feasible semiclassical (SC) method to evaluate quantum fidelity decay (Loschmidt echo) in a classically chaotic system. It was thought that such evaluation would be intractable, but instead we show that a uniform SC expression not ...
We discuss projection based Pad ́e-Jacobi approximants in general and present in particular an exact rational approximation to the Sign function. This serves as vehicle to analyze the behavior of Pad ́e-Jacobi approximants for discontinuous functions. The ...
This paper presents an application of the general sample-to-object approach to the problem of invariant image classification. The approach results in defining new SVM kernels based on tangent vectors that take into account prior information on known invari ...