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 …
computationally intensive and time consuming. In recent years, several techniques have …
Machine learning for many-body physics: The case of the Anderson impurity model
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 …
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
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 …
and the first author's PhD dissertation. The second author developed much of the theory in …
Fast algorithms using orthogonal polynomials
We review recent advances in algorithms for quadrature, transforms, differential equations
and singular integral equations using orthogonal polynomials. Quadrature based on …
and singular integral equations using orthogonal polynomials. Quadrature based on …
Chebyshev polynomial representation of imaginary-time response functions
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 …
imaginary (Euclidean)-time Green's functions and self-energies. In the context of realistic …
Fast polynomial transforms based on Toeplitz and Hankel matrices
Many standard conversion matrices between coefficients in classical orthogonal polynomial
expansions can be decomposed using diagonally-scaled Hadamard products involving …
expansions can be decomposed using diagonally-scaled Hadamard products involving …
Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: mathematical analysis and derivations
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 …
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 …
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 …
perturbed samples from an equally spaced grid on [-1, 1]. For a function f on [-1, 1] that is …