[图书][B] Numerical fourier analysis

G Plonka, D Potts, G Steidl, M Tasche - 2018 - Springer
The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the
engineering, mathematical, and scientific communities with significant developments in …

Heterodyned likelihood for rapid gravitational wave parameter inference

NJ Cornish - Physical Review D, 2021 - APS
Inferring the source properties of a gravitational wave signal has traditionally been very
computationally intensive and time consuming. In recent years, several techniques have …

Machine learning for many-body physics: The case of the Anderson impurity model

LF Arsenault, A Lopez-Bezanilla, OA Von Lilienfeld… - Physical Review B, 2014 - APS
Machine learning methods are applied to finding the Green's function of the Anderson
impurity model, a basic model system of quantum many-body condensed-matter physics …

[图书][B] Riemann–Hilbert problems, their numerical solution, and the computation of nonlinear special functions

T Trogdon, S Olver - 2015 - SIAM
This book grew out of the collaboration of the authors, which began in the Spring of 2010,
and the first author's PhD dissertation. The second author developed much of the theory in …

Fast algorithms using orthogonal polynomials

S Olver, RM Slevinsky, A Townsend - Acta Numerica, 2020 - cambridge.org
We review recent advances in algorithms for quadrature, transforms, differential equations
and singular integral equations using orthogonal polynomials. Quadrature based on …

Chebyshev polynomial representation of imaginary-time response functions

E Gull, S Iskakov, I Krivenko, AA Rusakov, D Zgid - Physical Review B, 2018 - APS
Problems of finite-temperature quantum statistical mechanics can be formulated in terms of
imaginary (Euclidean)-time Green's functions and self-energies. In the context of realistic …

Fast polynomial transforms based on Toeplitz and Hankel matrices

A Townsend, M Webb, S Olver - Mathematics of Computation, 2018 - ams.org
Many standard conversion matrices between coefficients in classical orthogonal polynomial
expansions can be decomposed using diagonally-scaled Hadamard products involving …

Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: mathematical analysis and derivations

GM Vasil, D Lecoanet, KJ Burns, JS Oishi… - Journal of Computational …, 2019 - Elsevier
This paper presents a method for accurate and efficient computations on scalar, vector and
tensor fields in three-dimensional spherical polar coordinates. The method uses spin …

Computing with functions in two dimensions

A Townsend - 2014 - ora.ox.ac.uk
New numerical methods are proposed for computing with smooth scalar and vector valued
functions of two variables defined on rectangular domains. Functions are approximated to …

Stable extrapolation of analytic functions

L Demanet, A Townsend - Foundations of Computational Mathematics, 2019 - Springer
This paper examines the problem of extrapolation of an analytic function for x> 1 given N+ 1
perturbed samples from an equally spaced grid on [-1, 1]. For a function f on [-1, 1] that is …