46 citations · 189 across the 17 of their papers we have counts for
17 papers
Fast summation on rectangular cuboids with arbitrary periodicity in the DMK framework
David Krantz, Ludvig af Klinteberg, Anna-Karin Tornberg
Dual-space multilevel kernel-splitting (DMK) is a fast summation framework that combines ideas from the fast multipole method, Ewald summation, and multilevel summation. Originally…
Fast Ewald Summation using Prolate Spheroidal Wave Functions
Erik Boström, Anna-Karin Tornberg, Ludvig af Klinteberg
Fast Ewald summation efficiently evaluates Coulomb interactions and is widely used in molecular dynamics simulations. It is based on a split into a short-range and a long-range par…
Correcting and Quantifying Systematic Errors in 3D Box Annotations for Autonomous Driving
Alexandre Justo Miro, Ludvig af Klinteberg, Bogdan Timus +5
Accurate ground truth annotations are critical to supervised learning and evaluating the performance of autonomous vehicle systems. These vehicles are typically equipped with activ…
Fast summation of Stokes potentials using a new kernel-splitting in the DMK framework
Ludvig af Klinteberg, Leslie Greengard, Shidong Jiang +1
Classical Ewald methods for Coulomb and Stokes interactions rely on ``kernel-splitting," using decompositions based on Gaussians to divide the resulting potential into a near field…
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions
Ludvig af Klinteberg
This paper presents a quadrature method for evaluating layer potentials in two dimensions close to periodic boundaries, discretized using the trapezoidal rule. It is an extension o…
Observability-aware online multi-lidar extrinsic calibration
Sandipan Das, Ludvig af Klinteberg, Maurice Fallon +1
Accurate and robust extrinsic calibration is necessary for deploying autonomous systems which need multiple sensors for perception. In this paper, we present a robust system for re…
An adaptive kernel-split quadrature method for parameter-dependent layer potentials
Fredrik Fryklund, Ludvig af Klinteberg, Anna-Karin Tornberg
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimens…
Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions
Ludvig af Klinteberg, Chiara Sorgentone, Anna-Karin Tornberg
The quadrature error associated with a regular quadrature rule for evaluation of a layer potential increases rapidly when the evaluation point approaches the surface and the integr…
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping
Ludvig af Klinteberg, Alex H. Barnett
The method of Helsing and co-workers evaluates Laplace and related layer potentials generated by a panel (composite) quadrature on a curve, efficiently and with high-order accuracy…
A Fast Integral Equation Method for the Two-Dimensional Navier-Stokes Equations
Ludvig af Klinteberg, Travis Askham, Mary Catherine Kropinski
The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In…
An adaptive kernel-split quadrature method for parameter-dependent layer potentials
Fredrik Fryklund, Ludvig af Klinteberg, Anna-Karin Tornberg
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimens…
A parallel non-uniform fast Fourier transform library based on an "exponential of semicircle" kernel
Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg
The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of…
Adaptive quadrature by expansion for layer potential evaluation in two dimensions
Ludvig af Klinteberg, Anna-Karin Tornberg
When solving partial differential equations using boundary integral equation methods, accurate evaluation of singular and nearly singular integrals in layer potentials is crucial.…
Fast Ewald summation for free-space Stokes potentials
Ludvig af Klinteberg, Davoud Saffar Shamshirgar, Anna-Karin Tornberg
We present a spectrally accurate method for the rapid evaluation of free-space Stokes potentials, i.e. sums involving a large number of free space Green's functions. We consider su…
A fast integral equation method for solid particles in viscous flow using quadrature by expansion
Ludvig af Klinteberg, Anna-Karin Tornberg
Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geome…
Estimation of quadrature errors in layer potential evaluation using quadrature by expansion
Ludvig af Klinteberg, Anna-Karin Tornberg
In boundary integral methods it is often necessary to evaluate layer potentials on or close to the boundary, where the underlying integral is difficult to evaluate numerically. Qua…
Ewald summation for the rotlet singularity of Stokes flow
Ludvig af Klinteberg
Ewald summation is an efficient method for computing the periodic sums that appear when considering the Green's functions of Stokes flow together with periodic boundary conditions.…