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Charles L. Epstein
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34
A numerical method for scattering problems with unbounded interfaces
17 November 2024 by
Tristan Goodwill
and
Charles Epstein
Numerical Analysis
Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space
11 September 2024 by
Charles Epstein
and
others
Numerical Analysis
Envelopes of Horospheres and Weingarten Surfaces in Hyperbolic 3-Space
22 January 2024 by
Charles Epstein
Differential Geometry
,
Analysis of PDEs
Solving the Scattering Problem for Open Wave-Guides, III: Radiation Conditions and Uniqueness
9 January 2024 by
Charles Epstein
and
Rafe Mazzeo
Analysis of PDEs
,
Numerical Analysis
An accurate and efficient scheme for function extensions on smooth domains
3 December 2023 by
Charles Epstein
and
others
Numerical Analysis
Solving the Transmission Problem for Open Wave-Guides, II Outgoing Estimates
4 October 2023 by
Charles Epstein
Mathematical Physics
,
Numerical Analysis
Solving the Transmission Problem for Open Wave-Guides, I Fundamental Solutions and Integral Equations
3 October 2023 by
Charles Epstein
Mathematical Physics
Debye source representation for type-I superconductors, I
25 May 2021 by
Charles Epstein
and
Manas Rachh
Numerical Analysis
Recovering missing data in coherent diffraction imaging
2 June 2020 by
David Barmherzig
and
others
Numerical Analysis
,
Signal Processing
Geometry of the Phase Retrieval Problem
1 April 2020 by
Alexander Barnett
and
others
Numerical Analysis
,
Image and Video Processing
Explicit unconditionally stable methods for the heat equation via potential theory
16 April 2019 by
Alex Barnett
and
others
Numerical Analysis
A high-order wideband direct solver for electromagnetic scattering from bodies of revolution
21 August 2018 by
Charles Epstein
and
others
Numerical Analysis
Transition probabilities for degenerate diffusions arising in population genetics
25 July 2017 by
Charles Epstein
and
Camelia Pop
Analysis of PDEs
,
Probability
Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions
8 February 2017 by
Charles Epstein
and
Camelia Pop
Analysis of PDEs
Eigenfunctions and the Dirichlet problem for the Classical Kimura Diffusion Operator
20 October 2016 by
Charles Epstein
and
Jon Wilkening
Analysis of PDEs
,
Numerical Analysis
Smoothed corners and scattered waves
7 April 2016 by
Charles Epstein
and
Michael O'Neil
Numerical Analysis
On the stability of time-domain integral equations for acoustic wave propagation
15 April 2015 by
Charles Epstein
and
others
Numerical Analysis
,
Mathematical Physics
Harnack Inequalities and Heat-kernel Estimates for Degenerate Diffusion Operators Arising in Population Biology
11 August 2014 by
Charles Epstein
and
Rafe Mazzeo
Analysis of PDEs
,
Probability
Harnack Inequalities for Degenerate Diffusions
18 June 2014 by
Charles Epstein
and
Camelia Pop
Probability
,
Analysis of PDEs
Formal properties of the probability of fixation: identities, inequalities and approximations
28 January 2014 by
David Mccandlish
and
others
Populations and Evolution
Regularity for the supercritical fractional Laplacian with drift
24 January 2014 by
Charles Epstein
and
Camelia Pop
Analysis of PDEs
,
Probability
The inevitability of unconditionally deleterious substitutions during adaptation
17 November 2013 by
David Mccandlish
and
others
Populations and Evolution
Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields
25 August 2013 by
Charles Epstein
and
others
Numerical Analysis
,
Mathematical Physics
On the convergence of local expansions of layer potentials
22 April 2013 by
Charles Epstein
and
others
Numerical Analysis
Subelliptic SpinC Dirac Operators, IV Proof of the Relative Index Conjecture
25 March 2012 by
Charles Epstein
Complex Variables
,
Analysis of PDEs
A consistency condition for the vector potential in multiply-connected domains
18 March 2012 by
Charles Epstein
and
others
Classical Physics
,
Numerical Analysis
Degenerate Diffusion Operators Arising in Population Biology
30 September 2011 by
Charles Epstein
and
Rafe Mazzeo
Analysis of PDEs
,
Probability
Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II
16 May 2011 by
Charles Epstein
and
others
Numerical Analysis
,
Analysis of PDEs
Wright-Fisher Diffusion in One Dimension
22 July 2009 by
Charles Epstein
and
Rafe Mazzeo
Analysis of PDEs
,
Probability
Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations
3 March 2009 by
Charles Epstein
and
Leslie Greengard
Analysis of PDEs
,
Mathematical Physics
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Key points
Topics
Numerical Analysis
Analysis of PDEs
Mathematical Physics
Probability
Populations and Evolution
Complex Variables
Symplectic Geometry
Differential Geometry
Spectral Theory
Signal Processing
High Energy Physics
Image and Video Processing
Plasma Physics
Classical Physics
Classical Analysis and ODEs