Results 81 to 90 of about 5,333 (191)

Dynamical determinants and their applications [PDF]

This thesis is concerned with situations where we can define trace-class transfer oper- ators, and extract useful information from their determinants. The first topic is on Lyapunov exponents of random products of matrices.
Felton, Philip
core  

A Spectral Method with Harmonic Map for Elliptic PDEs on General Two-Dimensional Domains

Journal of Scientific Computing
Abstract In this paper, we develop an efficient Fourier-Legendre spectral-Galerkin method for solving elliptic partial differential equations on general two-dimensional domains. A key core of our approach is employing a harmonic map to handle the general physical domains.
Shan Shi, Xiaoyun Jiang, Fanhai Zeng, Hui Zhang   +3 more
openaire   +1 more source

Neural Spectral Methods: Self-supervised learning in the spectral domain

We present Neural Spectral Methods, a technique to solve parametric Partial Differential Equations (PDEs), grounded in classical spectral methods. Our method uses orthogonal bases to learn PDE solutions as mappings between spectral coefficients.
Du, Yiheng, Chalapathi, Nithin, Krishnapriyan, Aditi   +2 more
core  

Recovering differential pencils on compact graphs

, 2008
We study boundary value problems on compact graphs without circles (i.e. on trees) for second-order ordinary differential equations with nonlinear dependence on the spectral parameter.
Yurko, V.
core   +1 more source

Finite Difference Methods, Hermite Interpolation and a Quasi-Uniform Spectral Scheme (QUSS). [PDF]

, 2013
This thesis discusses finite difference approximations, Hermite interpolation and Quasi-Uniform Spectral Schemes. In the discussion of finite difference approximations, an explicit algebraic condition on the grid points is given that explains when a ...
Sadiq, Burhan A.
core  

Spectral generalized multi-dimensional scaling

, 2013
Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the map-ping attempts to preserve the distances between each pair
Yonathan Aflalo, Ron Kimmel, Anastasia Dubrovina   +2 more
core  

An Efficient Image to Sound Mapping Method Preserving Speech Spectral Envelope

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2020
HOSODA, Yuya, KAWAMURA, Arata, IIGUNI, Youji   +2 more
openaire   +1 more source

Computing leaky Lamb waves for waveguides between elastic half-spaces using spectral collocation

In non-destructive evaluation guided wave inspections, the elastic structure to be inspected is often embedded within other elastic media and the ensuing leaky waves are complex and non-trivial to compute; we consider the canonical example of an elastic ...
Craster, Richard V., Lowe, Michael JS, Lowe, Michael J. S., Georgiades, Evripides, Craster, Richard V   +4 more
core   +1 more source

Constrained parameterization with applications to graphics and image processing.

Surface parameterization is to establish a transformation that maps the points on a surface to a specified parametric domain. It has been widely applied to computer graphics and image processing fields.
Yu, Hongchuan
core  

Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme

We present a quantitative assessment of the impact of high-order mappings on the simulation of flows over complex orography. Curved boundaries were not used in early numerical methods, whereas they are employed to an increasing extent in state of the art
Bonaventura, Luca, Benacchio, Tommaso, Orlando, Giuseppe   +2 more
core   +1 more source