Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Timón S"'
We summarise and implement a numerical method for evaluating a numerical method for modelling the frequency dependent power-law absorption within ultrasound using the first order linear wave equations with a loss taking the form of a fractional time
Externí odkaz:
http://arxiv.org/abs/2408.02541
We introduce and analyze numerical companion matrix methods for the reconstruction of hypersurfaces with crossings from smooth interpolants given unordered or, without loss of generality, value-sorted data. The problem is motivated by the desire to m
Externí odkaz:
http://arxiv.org/abs/2407.03731
The Atomic Cluster Expansion (ACE) (Drautz, Phys. Rev. B 99, 2019) has been widely applied in high energy physics, quantum mechanics and atomistic modeling to construct many-body interaction models respecting physical symmetries. Computational effici
Externí odkaz:
http://arxiv.org/abs/2401.01550
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 prove and collect numerous explicit and computable results for the fractional Laplacian $(-\Delta)^s f(x)$ with $s>0$ as well as its whole space inverse, the Riesz potential, $(-\Delta)^{-s}f(x)$ with $s\in\left(0,\frac{1}{2}\right)$. Choices of $
Externí odkaz:
http://arxiv.org/abs/2311.10896
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
Autor:
Gutleb, Timon S., Carrillo, José A.
We introduce a method which provides accurate numerical solutions to fractional-in-time partial differential equations posed on $[0,T] \times \Omega$ with $\Omega \subset \mathbb{R}^d$ without the excessive memory requirements associated with the non
Externí odkaz:
http://arxiv.org/abs/2304.06855
We describe fast algorithms for approximating the connection coefficients between a family of orthogonal polynomials and another family with a polynomially or rationally modified measure. The connection coefficients are computed via infinite-dimensio
Externí odkaz:
http://arxiv.org/abs/2302.08448
We present a numerical approach for computing attractive-repulsive power law equilibrium measures in arbitrary dimension. We prove new recurrence relationships for radial Jacobi polynomials on $d$-dimensional ball domains, providing a substantial gen
Externí odkaz:
http://arxiv.org/abs/2109.00843
Autor:
Jhajj, Harkamal S., Schardt, John S., Khalasawi, Namir, Yao, Emily L., Lwo, Timon S., Kwon, Na-Young, O’Meara, Ryen L., Desai, Alec A., Tessier, Peter M.
Publikováno v:
In Cell Chemical Biology 16 May 2024 31(5):944-954
