Numerical analysis 50 most recent publications
A. Kammonen, "Numerical algorithms for high dimensional integration with application to machine learning and molecular dynamics," Doctoral thesis : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2020:38, 2021.
J. H. Spühler et al., "A High Performance Computing Framework for Finite Element Simulation of Blood Flow in the Left Ventricle of the Human Heart," in Lecture Notes in Computational Science and Engineering, 2020, pp. 155-164.
P. Henning and J. Wärnegård, "A note on optimal H1 -error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation," BIT Numerical Mathematics, 2020.
W. M. Boon, "A parameter-robust iterative method for Stokes-Darcy problems retaining local mass conservation," Mathematical Modelling and Numerical Analysis, vol. 54, no. 6, pp. 2045-2067, 2020.
M. Balmus et al., "A partition of unity approach to fluid mechanics and fluid-structure interaction," Computer Methods in Applied Mechanics and Engineering, vol. 362, 2020.
E. Burman et al., "A stabilized cut streamline diffusion finite element method for convection-diffusion problems on surfaces," Computer Methods in Applied Mechanics and Engineering, vol. 358, 2020.
H. Nguyen and Y. R. Tsai, "A stable parareal-like method for the second order wave equation," Journal of Computational Physics, vol. 405, 2020.
A. Kammonen et al., "Adaptive random fourier features with metropolis sampling," Foundations of Data Science, no. 3, pp. 309-332, 2020.
L. Bystricky, S. Pålsson and A.-K. Tornberg, "An accurate integral equation method for Stokes flow with piecewise smooth boundaries," BIT Numerical Mathematics, 2020.
S. Pålsson and A.-K. Tornberg, "An integral equation method for closely interacting surfactant-covered droplets in wall-confined Stokes flow," International Journal for Numerical Methods in Fluids, 2020.
F. Fryklund, M. C. A. Kropinski and A.-K. Tornberg, "An integral equation-based numerical method for the forced heat equation on complex domains," Advances in Computational Mathematics, vol. 46, no. 5, 2020.
P. Henning and A. Persson, "Computational homogenization of time-harmonic maxwell's equations," SIAM Journal on Scientific Computing, vol. 42, no. 3, pp. B581-B607, 2020.
P. Henning and A. Persson, "Computational homogenization of time-harmonic Maxwell's equations," SIAM Journal on Scientific Computing, vol. 42, no. 3, pp. B581-B607, 2020.
W. M. Boon and J. M. Nordbotten, "Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems," in Springer Proceedings in Mathematics and Statistics, 2020, pp. 435-444.
I. N. Figueiredo et al., "Fast colonic polyp detection using a Hamilton-Jacobi approach to non-dominated sorting," Biomedical Signal Processing and Control, vol. 61, 2020.
W. M. Boon, J. M. Nordbotten and J. E. Vatne, "Functional analysis and exterior calculus on mixed-dimensional geometries," Annali di Matematica Pura ed Applicata, 2020.
G. Mele, "Krylov methods for nonlinear eigenvalue problems and matrix equations," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2019:59, 2020.
G. Mele et al., Preconditioning for linear systems. KD Publishing, 2020.
R. Altmann, P. Henning and D. Peterseim, "Quantitative Anderson localization of Schrodinger eigenstates under disorder potentials," Mathematical Models and Methods in Applied Sciences, vol. 30, no. 5, pp. 917-955, 2020.
P. Henning and D. Peterseim, "Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem : Global convergence and computational efficiency," SIAM Journal on Numerical Analysis, vol. 58, no. 3, pp. 1744-1772, 2020.
L. Bystricky, S. Shanbhag and B. Quaife, "Stable and contact-free time stepping for dense rigid particle suspensions," International Journal for Numerical Methods in Fluids, vol. 92, no. 2, pp. 94-113, 2020.
D. Appelo, F. Garcia and O. Runborg, "Waveholtz : Iterative solution of the helmholtz equation via the wave equation," SIAM Journal on Scientific Computing, vol. 42, no. 4, pp. A1950-A1983, 2020.
D. Appelö, F. Garcia and O. Runborg, "WaveHoltz : Parallel and scalable solution of the Helmholtz equation via wave equation iteration," in SEG International Exposition and Annual Meeting 2019, 2020, pp. 1541-1545.
T. Frachon and S. Zahedi, "A cut finite element method for incompressible two-phase Navier–Stokes flows," Journal of Computational Physics, vol. 384, pp. 77-98, 2019.
P. Upadhyaya, E. Jarlebring and E. Rubensson, "A density matrix approach to the convergence of the self-consistent field iteration," Numerical Algebra, Control and Optimization, vol. 0, no. 0, pp. 0-0, 2019.
L. Martin and Y. R. Tsai, "A multiscale domain decomposition algorithm for boundary value problems for eikonal equations," Multiscale Modeling & simulation, vol. 17, no. 2, pp. 620-649, 2019.
M. Hanke and R. März, "A reliable direct numerical treatment of differential–algebraic equations by overdetermined collocation : An operator approach," Journal of Computational and Applied Mathematics, 2019.
S. Paul et al., "Bathymetry Development and Flow Analyses Using Two-Dimensional Numerical Modeling Approach for Lake Victoria," Fluids, vol. 4, no. 4, pp. 1-21, 2019.
S. Pålsson, "Boundary integral methods for fast and accurate simulation of droplets in two-dimensional Stokes flow," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2019;50, 2019.
H. Havtun et al., "Continuous assessment : Time and effort well spent for students and teachers?," in KTH SoTL 2019, 2019.
M. Hanke and R. März, "Convergence analysis of least-squares collocation methods for nonlinear higher-index differential–algebraic equations," Journal of Computational and Applied Mathematics, 2019.
C. Engwer et al., "Efficient implementation of the localized orthogonal decomposition method," Computer Methods in Applied Mechanics and Engineering, vol. 350, pp. 123-153, 2019.
M. Hanke et al., "Least-Squares Collocation for Higher-Index Linear Differential-Algebraic Equations : Estimating the Instability Threshold," Mathematics of Computation, vol. 88, no. 318, pp. 1647-1683, 2019.
P. Henning and J. Wärnegård, "NUMERICAL COMPARISON OF MASS-CONSERVATIVE SCHEMES FOR THE GROSS-PITAEVSKII EQUATION," Kinetic and Related Models, vol. 12, no. 6, pp. 1247-1271, 2019.
F. Wendt et al., "Ocean Energy Systems Wave Energy Modelling Task : Modelling, Verification and Validation of Wave Energy Converters," Journal of Marine Science and Engineering, vol. 7, no. 11, 2019.
A. Koskela and E. Jarlebring, "On a generalization of neumann series of bessel functions using Hessenberg matrices and matrix exponentials," in European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, 2019, pp. 205-214.
D. S. Shamshirgar et al., "Regularizing the fast multipole method for use in molecular simulation," Journal of Chemical Physics, vol. 151, no. 23, 2019.
S. Pålsson, M. Siegel and A.-K. Tornberg, "Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow," Journal of Computational Physics, vol. 386, pp. 218-247, 2019.
P. Plechác, M. Sandberg and A. Szepessy, "The classical limit of quantum observables in the conservation laws of fluid dynamics," Communications in Mathematical Sciences, vol. 17, no. 8, pp. 2191-2221, 2019.
I. N. Figueiredo et al., "Unsupervised segmentation of colonic polyps in narrow-band imaging data based on manifold representation of images and Wasserstein distance," Biomedical Signal Processing and Control, vol. 53, 2019.
Van D. Nguyen et al., "A fluid-structure interaction model with weak slip velocity boundary conditions on conforming internal interfaces," in 6th European Conference on Computational Mechanics (ECCM), 7th European Conference on Computational Fluid Dynamics (ECFD 7), 1115 June 2018, Glasgow, UK, 2018.
L. af Klinteberg and A.-K. Tornberg, "Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions," SIAM Journal on Scientific Computing, vol. 40, no. 3, pp. A1225-A1249, 2018.
Y. Zhong, K. Ren and Y. R. Tsai, "An implicit boundary integral method for computing electric potential of macromolecules in solvent," Journal of Computational Physics, vol. 359, pp. 199-215, 2018.
A. Kammonen et al., "Canonical quantum observables for molecular systems approximated by ab initio molecular dynamics," Annales Henri Poincaré, vol. 19, pp. 2727-2781, 2018.
S. Wang, A. Nissen and G. Kreiss, "Convergence Of Finite Difference Methods For The Wave Equation in Two Space Dimensions," Mathematics of Computation, vol. 87, no. 314, pp. 2737-2763, 2018.
E. Jarlebring, A. Koskela and G. Mele, "Disguised and new quasi-Newton methods for nonlinear eigenvalue problems," Numerical Algorithms, vol. 79, no. 1, pp. 311-335, 2018.
S. Srinivasan and A.-K. Tornberg, "Fast Ewald summation for Green's functions of Stokes flow in a half-space," RESEARCH IN THE MATHEMATICAL SCIENCES, vol. 5, 2018.
D. Saffar Shamshirgar, "Fast methods for electrostatic calculations in molecular dynamics simulations," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-MAT-A, 2018:02, 2018.
A.-K. Tornberg, "FFT based spectral Ewald methods as an alternative to fast multipole methods," in Proceedings of the International Congress of Mathematicians, ICM 2018, 2018, pp. 3709-3728.
T. Ohtsuka, Y. R. Tsai and Y. Giga, "Growth Rate of Crystal Surfaces with Several Dislocation Centers," Crystal Growth & Design, vol. 18, no. 3, pp. 1917-1929, 2018.