Numerical analytic continuation

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AAA Rational Approximation on a Continuum

Cites Work

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Quadrature by expansion: a new method for the evaluation of layer potentials
The analogue for maximally convergent polynomials of Jentzsch's theorem
Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
Tracing complex singularities with spectral methods
Minimal metrics in a space of random vectors with fixed one-dimensional marginal distributions
Numerical methods for analytic continuation and mesh generation
On the zeros and poles of Padè approximants to $e^z$. III
Numerical computation of an analytic singular value decomposition of a matrix valued function
Double exponential formulas for numerical integration
Spurious poles in Padé approximation
Padé approximants and noise: Rational functions
Optimality of the double exponential formula -- functional analysis approach
The convergence of Padé approximants to functions with branch points
Padé approximants and noise: A case of geometric series
A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion
Representation of conformal maps by rational functions
On best rational approximation of analytic functions
Froissart doublets in Padé approximation in the case of polynomial noise
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
Partition of unity extension of functions on complex domains
Quantifying the ill-conditioning of analytic continuation
Numerical conformal mapping with rational functions
Unique continuation for the Helmholtz equation using stabilized finite element methods
Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method
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Rational approximation to $|x|$
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Rational approximation and $n$-dimensional diameter
Padé approximants and convergence in capacity
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AAA interpolation of equispaced data
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Singularities in the complex physical plane for deep water waves
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Distribution of the zeros of Padé polynomials and analytic continuation
Visual Complex Functions
Continuous dependence on data for solutions of partial differential equations with a prescribed bound
Complex Singularities and the Lorenz Attractor
Super-identical pseudospectra
Multivariate Rational Approximation
Extrapolating a band-limited function from its samples taken in a finite interval
EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
ESTIMATES OF THE SINGULAR NUMBERS OF THE CARLESON IMBEDDING OPERATOR
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
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GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
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Dynamics and Condensation of Complex Singularities for Burgers' Equation II
New Computations of the Riemann Zeta Function on the Critical Line
Stable soft extrapolation of entire functions
Green's Functions for Multiply Connected Domains via Conformal Mapping
Computing the Dynamics of Complex Singularities of Nonlinear PDEs
Robust Padé Approximation via SVD
The Blasius Function in the Complex Plane
Vandermonde with Arnoldi
Two-Dimensional Fourier Continuation and Applications
The AAAtrig Algorithm for Rational Approximation of Periodic Functions
Reciprocal-Log Approximation and Planar PDE Solvers
The Riemann Zeta Function on Arithmetic Progressions
Complex Variables and Analytic Functions: An Illustrated Introduction
An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
Computing the Gamma Function Using Contour Integrals and Rational Approximations
BEST LINEAR APPROXIMATIONS OF FUNCTIONS ANALYTICALLY CONTINUABLE FROM A GIVEN CONTINUUM INTO A GIVEN REGION
ZOLOTAREV PROBLEMS CONNECTED WITH RATIONAL FUNCTIONS
Some Problems in Numerical Analytic Continuation
On Quadratic Approximation
A LOCAL CONDITION OF SINGLE-VALUEDNESS OF ANALYTIC FUNCTIONS
The AAA Algorithm for Rational Approximation
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Geometry of the Phase Retrieval Problem
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions
Scattered Data Approximation
The double-exponential transformation in numerical analysis
Burgers' equation in the complex plane
Practical algorithms for multivariate rational approximation

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