Zobrazeno 1 - 10
of 8 164
pro vyhledávání: '"Olver, A"'
Autor:
Olver, Sheehan
A little utilised but fundamental fact is that if one discretises a partial differential equation using a symmetry-adapted basis corresponding to so-called irreducible representations, the basic building blocks in representational theory, then the re
Externí odkaz:
http://arxiv.org/abs/2411.07365
Autor:
Chen, James, Olver, Sheehan
The Stieltjes (or sometimes called the Cauchy) transform is a fundamental object associated with probability measures, corresponding to the generating function of the moments. In certain applications such as free probability it is essential to comput
Externí odkaz:
http://arxiv.org/abs/2410.16178
Modern archaeological methods increasingly utilize 3D virtual representations of objects, computationally intensive analyses, high resolution scanning, large datasets, and machine learning. With higher resolution scans, challenges surrounding computa
Externí odkaz:
http://arxiv.org/abs/2410.07385
We develop a sparse hierarchical $hp$-finite element method ($hp$-FEM) for the Helmholtz equation with rotationally invariant variable coefficients posed on a two-dimensional disk or annulus. The mesh is an inner disk cell (omitted if on an annulus d
Externí odkaz:
http://arxiv.org/abs/2402.12831
We show, in one dimension, that an $hp$-Finite Element Method ($hp$-FEM) discretisation can be solved in optimal complexity because the discretisation has a special sparsity structure that ensures that the \emph{reverse Cholesky factorisation} -- Cho
Externí odkaz:
http://arxiv.org/abs/2402.11299
We consider a dynamic model of traffic that has received a lot of attention in the past few years. Infinitesimally small agents aim to travel from a source to a destination as quickly as possible. Flow patterns vary over time, and congestion effects
Externí odkaz:
http://arxiv.org/abs/2402.04935
Exceptionally elegant formulae exist for the fractional Laplacian operator applied to weighted classical orthogonal polynomials. We utilize these results to construct a solver, based on frame properties, for equations involving the fractional Laplaci
Externí odkaz:
http://arxiv.org/abs/2311.12451
We discuss computing with hierarchies of families of (potentially weighted) semiclassical Jacobi polynomials which arise in the construction of multivariate orthogonal polynomials. In particular, we outline how to build connection and differentiation
Externí odkaz:
http://arxiv.org/abs/2310.07541
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profiles are investigated. Firstly, we study the periodi
Externí odkaz:
http://arxiv.org/abs/2309.14890
Emerging optical and virtualization technologies enable the design of more flexible and demand-aware networked systems, in which resources can be optimized toward the actual workload they serve. For example, in a demand-aware datacenter network, freq
Externí odkaz:
http://arxiv.org/abs/2308.10579