Numerical analysis 50 most recent publications
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, vol. 387, 2021.
L. Leitenmaier, "Analysis and numerical methods for multiscale problems in magnetization dynamics," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2021:47, 2021.
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, vol. 387, 2021.
J. Hoffman, "Energy stability analysis of turbulent incompressible flow based on the triple decomposition of the velocity gradient tensor," Physics of fluids, vol. 33, no. 8, 2021.
J. Wärnegård, "Energy-conservative finite element methods for nonlinear Schrödinger equations," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2021:43, 2021.
D. Saffar Shamshirgar, J. Bagge and A.-K. Tornberg, "Fast Ewald summation for electrostatic potentials with arbitrary periodicity," Journal of Chemical Physics, vol. 154, no. 16, 2021.
J. Bagge and A.-K. Tornberg, "Highly accurate special quadrature methods for Stokesian particle suspensions in confined geometries," International Journal for Numerical Methods in Fluids, vol. 93, no. 7, pp. 2175-2224, 2021.
E. Jarlebring and P. Upadhyaya, "Implicit algorithms for eigenvector nonlinearities," Numerical Algorithms, 2021.
F. Fryklund, "Integral equations and function extension techniques for numerical solution of PDEs," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2021;30, 2021.
E. Ringh and E. Jarlebring, "Nonlinearizing two-parameter eigenvalue problems," SIAM Journal on Matrix Analysis and Applications, vol. 42, no. 2, pp. 775-799, 2021.
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.
P. Upadhyaya, "Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities," Doctoral thesis Stockholm : KTH Royal Institute of Technology, TRITA-SCI-FOU, 2021:48, 2021.
C. Sorgentone et al., "Numerical and asymptotic analysis of the three-dimensional electrohydrodynamic interactions of drop pairs," Journal of Fluid Mechanics, vol. 914, 2021.
R. Altmann, P. Henning and D. Peterseim, "Numerical homogenization beyond scale separation," Acta Numerica, vol. 30, pp. 1-86, 2021.
L. Leitenmaier and O. Runborg, "On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient," Communications in Mathematical Sciences, 2021.
J. Bagge et al., "Parabolic velocity profile causes shape-selective drift of inertial ellipsoids," Journal of Fluid Mechanics, vol. 926, 2021.
W. M. Boon et al., "Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure," SIAM Journal on Scientific Computing, vol. 43, no. 4, pp. B961-B983, 2021.
P. Henning and A. M. N. Niklasson, "Shadow Lagrangian Dynamics For Superfluidity," Kinetic and Related Models, vol. 14, no. 2, pp. 303-321, 2021.
P. Henning and J. Wärnegård, "Superconvergence of time invariants for the Gross-Pitaevskii equation," Mathematics of Computation, 2021.
R. Altmann, P. Henning and D. Peterseim, "The J-method for the Gross-Pitaevskii eigenvalue problem," Numerische Mathematik, vol. 148, no. 3, pp. 575-610, 2021.
P. Upadhyaya, E. Jarlebring and F. Tudisco, "The self-consistent field iteration for p-spectral clustering," (Manuscript).
I. Berre et al., "Verification benchmarks for single-phase flow in three-dimensional fractured porous media," Advances in Water Resources, vol. 147, 2021.
J. Kiessling, E. Strom and R. Tempone, "Wind field reconstruction with adaptive random Fourier features," Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, vol. 477, no. 2255, 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.
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.
H. Hoel and A. Szepessy, "Classical langevin dynamics derived from quantum mechanics," Discrete and continuous dynamical systems. Series B, vol. 25, no. 10, pp. 4001-4038, 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.
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.
A. Budisa, W. M. Boon and X. Hu, "Mixed-dimensional auxiliary space preconditioners," SIAM Journal on Scientific Computing, vol. 42, no. 5, pp. A3367-A3396, 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.
W. M. Boon and J. M. Nordbotten, "Stable mixed finite elements for linear elasticity with thin inclusions," Computational Geosciences, 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.
A. Kammonen et al., "Adaptive random fourier features with metropolis sampling," Foundations of Data Science, vol. 0, no. 0, pp. 0-0, 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.