| Publication | Date of Publication | Type |
|---|
| A fast solver for the narrow capture and narrow escape problems in the sphere | 2024-01-09 | Paper |
| Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures | 2024-01-09 | Paper |
| An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane Using Function Extension | 2023-12-20 | Paper |
| FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions | 2023-12-13 | Paper |
| A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution | 2023-08-01 | Paper |
| Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors | 2023-06-07 | Paper |
| A new version of the adaptive fast Gauss transform for discrete and continuous sources | 2023-05-11 | Paper |
| A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions | 2023-01-11 | Paper |
| A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation | 2022-10-06 | Paper |
| Robust ab initio solution of the cryo-EM reconstruction problem at low resolution with small data sets | 2022-09-14 | Paper |
| Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform | 2022-03-18 | Paper |
| Geometry of the Phase Retrieval Problem | 2022-03-03 | Paper |
| Recovering Missing Data in Coherent Diffraction Imaging | 2021-11-19 | Paper |
| Periodic Fast Multipole Method | 2021-11-01 | Paper |
| High-order discretization of a stable time-domain integral equation for 3D acoustic scattering | 2021-01-27 | Paper |
| A high-order wideband direct solver for electromagnetic scattering from bodies of revolution | 2021-01-25 | Paper |
| A fast spectral method for electrostatics in doubly-periodic slit channels | 2021-01-18 | Paper |
| Geometry of the phase retrieval problem | 2020-09-29 | Paper |
| A Fast Boundary Integral Method for High-Order Multiscale Mesh Generation | 2020-05-29 | Paper |
| On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries | 2020-04-15 | Paper |
| A high-order integral equation-based solver for the time-dependent Schrodinger equation | 2020-01-16 | Paper |
| Explicit unconditionally stable methods for the heat equation via potential theory | 2019-12-11 | Paper |
| A New Mixed Potential Representation for Unsteady, Incompressible Flow | 2019-11-15 | Paper |
| Fast integral equation methods for linear and semilinear heat equations in moving domains | 2019-10-01 | Paper |
| Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media | 2019-09-02 | Paper |
| A fluctuating boundary integral method for Brownian suspensions | 2019-07-04 | Paper |
| Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions | 2019-06-28 | Paper |
| Fast convolution with free-space Green's functions | 2019-06-24 | Paper |
| On the efficient representation of the half-space impedance Green's function for the Helmholtz equation | 2019-02-20 | Paper |
| Transparent Boundary Conditions for the Time-Dependent Schr\"odinger Equation with a Vector Potential | 2018-12-10 | Paper |
| The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions | 2018-11-21 | Paper |
| The Mathematics of Cathleen Synge Morawetz | 2018-11-02 | Paper |
| A new hybrid integral representation for frequency domain scattering in layered media | 2018-07-30 | Paper |
| An Adaptive Fast Gauss Transform in Two Dimensions | 2018-05-18 | Paper |
| Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles | 2018-05-03 | Paper |
| Robust integral formulations for electromagnetic scattering from three-dimensional cavities | 2018-01-26 | Paper |
| Rapid Solution of the Cryo-EM Reconstruction Problem by Frequency Marching | 2018-01-26 | Paper |
| An integral equation formulation for rigid bodies in Stokes flow in three dimensions | 2018-01-22 | Paper |
| Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation | 2017-10-27 | Paper |
| Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation | 2017-09-20 | Paper |
| Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One | 2017-06-28 | Paper |
| A fast summation method for oscillatory lattice sums | 2017-03-13 | Paper |
| The solution of the scalar wave equation in the exterior of a sphere | 2016-12-20 | Paper |
| Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain | 2016-12-20 | Paper |
| A fast, high-order solver for the Grad-Shafranov equation | 2016-12-05 | Paper |
| Quadrature by expansion: a new method for the evaluation of layer potentials | 2016-12-05 | Paper |
| A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions | 2016-12-05 | Paper |
| Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions | 2016-10-06 | Paper |
| The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering | 2016-04-27 | Paper |
| On the stability of time-domain integral equations for acoustic wave propagation | 2016-03-29 | Paper |
| Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space | 2016-03-29 | Paper |
| A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress | 2016-03-02 | Paper |
| Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields | 2015-11-16 | Paper |
| Efficient sum-of-exponentials approximations for the heat kernel and their applications | 2015-07-21 | Paper |
| Randomized methods for rank-deficient linear systems | 2015-04-24 | Paper |
| A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions | 2015-03-02 | Paper |
| Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT | 2015-01-23 | Paper |
| Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case | 2015-01-09 | Paper |
| Boundary integral equation analysis on the sphere | 2014-11-14 | Paper |
| A Fast Semidirect Least Squares Algorithm for Hierarchically Block Separable Matrices | 2014-10-15 | Paper |
| A fast solver for multi-particle scattering in a layered medium | 2014-07-14 | Paper |
| Fast multi-particle scattering: a hybrid solver for the Maxwell equations in microstructured materials | 2014-07-01 | Paper |
| A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications | 2014-04-23 | Paper |
| Fast Direct Methods for Gaussian Processes | 2014-03-24 | Paper |
| On the Convergence of Local Expansions of Layer Potentials | 2014-01-21 | Paper |
| Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II | 2013-04-19 | Paper |
| A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization | 2013-01-24 | Paper |
| Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions | 2012-10-26 | Paper |
| Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions | 2012-05-18 | Paper |
| Fast Algorithms for Classical Physics | 2011-11-28 | Paper |
| Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator | 2011-11-22 | Paper |
| A free-space adaptive FMM-based PDE solver in three dimensions | 2011-11-17 | Paper |
| On the efficient representation of the half-space impedance Green's function for the Helmholtz equation | 2011-09-29 | Paper |
| The Fast Generalized Gauss Transform | 2011-06-10 | Paper |
| A new integral representation for quasi-periodic scattering problems in two dimensions | 2011-05-04 | Paper |
| Spectral edge detection in two dimensions using wavefronts | 2011-01-13 | Paper |
| High Order Accurate Methods for the Evaluation of Layer Heat Potentials | 2010-10-19 | Paper |
| A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations | 2010-09-15 | Paper |
| Debye sources and the numerical solution of the time harmonic Maxwell equations | 2010-03-18 | Paper |
| Fast direct solvers for integral equations in complex three-dimensional domains | 2009-10-28 | Paper |
| Solving the Poisson equation on a surface by reduction to a 1-dimensional problem | 2009-10-06 | Paper |
| A fast and stable method for rotating spherical harmonic expansions | 2009-08-19 | Paper |
| A new version of the fast multipole method for screened Coulomb interactions in three dimensions | 2008-10-01 | Paper |
| A fast multipole method for the three-dimensional Stokes equations | 2008-03-12 | Paper |
| Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions | 2008-01-18 | Paper |
| On the numerical solution of the heat equation. I: Fast solvers in free space | 2007-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3416262 | 2007-01-19 | Paper |
| The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space | 2006-12-20 | Paper |
| A wideband fast multipole method for the Helmholtz equation in three dimensions | 2006-06-30 | Paper |
| Electrostatics and heat conduction in high contrast composite materials | 2005-11-04 | Paper |
| The type 3 nonuniform FFT and its applications | 2005-06-13 | Paper |
| Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension | 2005-03-08 | Paper |
| Accelerating the Nonuniform Fast Fourier Transform | 2005-02-25 | Paper |
| High order marching schemes for the wave equation in complex geometry | 2004-08-16 | Paper |
| Integral equation methods for Stokes flow in doubly-periodic domains | 2004-05-27 | Paper |
| Strongly consistent marching schemes for the wave equation | 2003-07-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2760074 | 2002-09-26 | Paper |
| Nonreflecting boundary conditions for the time-dependent wave equation | 2002-09-17 | Paper |
| A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions | 2002-04-15 | Paper |
| Analytic continuation, singular-value expansions, and Kramers-Kronig analysis | 2002-01-14 | Paper |
| Coulomb Interactions on Planar Structures: Inverting the Square Root of the Laplacian | 2001-06-21 | Paper |
| Spectral approximation of the free-space heat kernel | 2001-04-18 | Paper |
| On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites | 2001-02-21 | Paper |
| An integral evolution formula for the wave equation | 2000-11-06 | Paper |
| Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation | 2000-10-19 | Paper |
| A Fast Direct Solver for Elliptic Partial Differential Equations on Adaptively Refined Meshes | 2000-10-19 | Paper |
| Spectral deferred correction methods for ordinary differential equations | 2000-08-27 | Paper |
| A fast adaptive multipole algorithm in three dimensions | 2000-05-17 | Paper |
| On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders | 1998-12-16 | Paper |
| A fast algorithm for particle simulations | 1998-11-01 | Paper |
| An Integral Equation Approach to the Incompressible Navier--Stokes Equations in Two Dimensions | 1998-09-21 | Paper |
| A new version of the fast Gauss transform | 1998-08-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4356574 | 1998-06-18 | Paper |
| A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders | 1998-05-10 | Paper |
| A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems | 1998-03-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4355907 | 1998-03-05 | Paper |
| Integral equation methods for Stokes flow and isotropic elasticity in the plane | 1996-07-02 | Paper |
| A direct adaptive Poisson solver of arbitrary order accuracy | 1996-07-02 | Paper |
| On the numerical solution of the biharmonic equation in the plane | 1995-11-13 | Paper |
| A fast Poisson solver for complex geometries | 1995-10-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4310151 | 1995-06-30 | Paper |
| A renormalization method for the evaluation of lattice sums | 1995-04-05 | Paper |
| Laplace's equation and the Dirichlet-Neumann map in multiply connected domains | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3996584 | 1992-09-17 | Paper |
| The Fast Gauss Transform | 1991-01-01 | Paper |
| On the numerical solution of two-point boundary value problems | 1991-01-01 | Paper |
| Spectral Integration and Two-Point Boundary Value Problems | 1991-01-01 | Paper |
| A fast algorithm for the evaluation of heat potentials | 1990-01-01 | Paper |
| A parallel version of the fast multipole method | 1990-01-01 | Paper |
| Potential Flow in Channels | 1990-01-01 | Paper |
| A Fast Adaptive Multipole Algorithm for Particle Simulations | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3811780 | 1988-01-01 | Paper |
| A fast algorithm for particle simulations | 1987-01-01 | Paper |
