Spectral Approximation of the Free-Space Heat Kernel
نویسندگان
چکیده
منابع مشابه
Spectral Approximation of the Free-Space Heat Kernel
Many problems in applied mathematics, physics, and engineering require the solution of the heat equation in unbounded domains. Integral equation methods are particularly appropriate in this setting for several reasons: they are unconditionally stable, they are insensitive to the complexity of the geometry, and they do not require the artificial truncation of the computational domain as do finit...
متن کاملParameter-Free Spectral Kernel Learning
Due to the growing ubiquity of unlabeled data, learning with unlabeled data is attracting increasing attention in machine learning. In this paper, we propose a novel semi-supervised kernel learning method which can seamlessly combine manifold structure of unlabeled data and Regularized Least-Squares (RLS) to learn a new kernel. Interestingly, the new kernel matrix can be obtained analytically w...
متن کاملDiscrete approximation of the free Fock space
We prove that the free Fock space F(R+;C), which is very commonly used in Free Probability Theory, is the continuous free product of copies of the space C2. We describe an explicit embeding and approximation of this continuous free product structure by means of a discrete-time approximation: the free toy Fock space, a countable free product of copies of C2. We show that the basic creation, anni...
متن کاملVolumetric heat Kernel: Padé-Chebyshev approximation, convergence, and computation
This paper proposes an accurate and computationally efficient solver of the heat equation (∂t +D)F(·, t) = 0, F(·,0) = f , on a volumetric domain, through the (r,r)-degree Padé-Chebyshev rational approximation of the exponential representation F(·, t) = exp( tD) f of the solution. To this end, the heat diffusion problem is converted to a set of r differential equations, which involve only the L...
متن کاملdetermination of maximal singularity free zones in the workspace of parallel manipulator
due to the limiting workspace of parallel manipulator and regarding to finding the trajectory planning of singularity free at workspace is difficult, so finding a best solution that can develop a technique to determine the singularity-free zones in the workspace of parallel manipulators is highly important. in this thesis a simple and new technique are presented to determine the maximal singula...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2000
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0310