Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Waters, Alden"'
Autor:
Waters, Alden, Fang, Yan-Long
The goal of this article is to establish general principles for high frequency dispersive estimates for Maxwell's equation in the exterior of a perfectly conducting ball. We construct entirely new generalized eigenfunctions for the corresponding Maxw
Externí odkaz:
http://arxiv.org/abs/2308.00536
We study the water hammer problem in the case of a sudden closing of a valve upstream, and we consider a Lax-Wendroff finite difference scheme in order to obtain a numerical solution of this problem. In order to establish the approximation of this sc
Externí odkaz:
http://arxiv.org/abs/2212.00112
Autor:
Fang, Yan-long, Waters, Alden
Publikováno v:
In Journal of Differential Equations 15 January 2025 415:855-885
Autor:
Strohmaier, Alexander, Waters, Alden
This paper establishes trace-formulae for a class of operators defined in terms of the functional calculus for the Laplace operator on divergence-free vector fields with relative and absolute boundary conditions on Lipschitz domains in $\mathbb{R}^3$
Externí odkaz:
http://arxiv.org/abs/2111.15331
Autor:
Strohmaier, Alexander, Waters, Alden
We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean near infinity. Allowing for compact boundaries of low regularity we prove a Birman-Krein formula on the space of co-closed
Externí odkaz:
http://arxiv.org/abs/2104.13589
Autor:
Waters, Alden
We consider time dependent harmonic oscillators and construct a parametrix to the corresponding Schr\"odinger equation using Gaussian wavepackets. This parametrix of Gaussian wavepackets is precise and tractable. Using this parametrix we prove $L^2$
Externí odkaz:
http://arxiv.org/abs/2011.10777
Autor:
Strohmaier, Alexander, Waters, Alden
There recently has been some interest in the space of functions on an interval satisfying the heat equation for positive time in the interior of this interval. Such functions were characterised as being analytic on a square with the original interval
Externí odkaz:
http://arxiv.org/abs/2006.05762
We consider the case of scattering of several obstacles in $\mathbb{R}^d$ for $d \geq 2$. In this setting the absolutely continuous part of the Laplace operator $\Delta$ with Dirichlet boundary conditions and the free Laplace operator $\Delta_0$ are
Externí odkaz:
http://arxiv.org/abs/2002.07291
Autor:
Strohmaier, Alexander, Waters, Alden
We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean at infinity. The manifold may have several boundary components caused by obstacles at which relative boundary conditions a
Externí odkaz:
http://arxiv.org/abs/1907.01444
Autor:
Waldspurger, Irène, Waters, Alden
When solving large scale semidefinite programs that admit a low-rank solution, an efficient heuristic is the Burer-Monteiro factorization: instead of optimizing over the full matrix, one optimizes over its low-rank factors. This reduces the number of
Externí odkaz:
http://arxiv.org/abs/1812.03046