| The rational SPDE approach for Gaussian random fields with general smoothness D Bolin, K Kirchner Journal of Computational and Graphical Statistics 29 (2), 274-285, 2019 | 97 | 2019 |
| Numerical solution of fractional elliptic stochastic PDEs with spatial white noise D Bolin, K Kirchner, M Kovács IMA Journal of Numerical Analysis 40 (2), 1051-1073, 2018 | 80 | 2018 |
| Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise D Bolin, K Kirchner, M Kovács BIT Numerical Mathematics 58 (4), 881-906, 2018 | 35 | 2018 |
| Multilevel approximation of Gaussian random fields: Fast simulation L Herrmann, K Kirchner, C Schwab Mathematical Models and Methods in Applied Sciences 30 (1), 181-223, 2020 | 27 | 2020 |
| Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle–Matérn fields SG Cox, K Kirchner Numerische Mathematik 146 (4), 819-873, 2020 | 25 | 2020 |
| Equivalence of measures and asymptotically optimal linear prediction for Gaussian random fields with fractional-order covariance operators D Bolin, K Kirchner Bernoulli 29 (2), 1476-1504, 2023 | 17 | 2023 |
| Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces K Kirchner, D Bolin The Annals of Statistics 50 (2), 1038-1065, 2022 | 15 | 2022 |
| Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction H Harbrecht, L Herrmann, K Kirchner, C Schwab Advances in Computational Mathematics 50 (5), 101, 2024 | 9 | 2024 |
| Covariance structure of parabolic stochastic partial differential equations with multiplicative Lévy noise K Kirchner, A Lang, S Larsson Journal of Differential Equations 262 (12), 5896-5927, 2017 | 9 | 2017 |
| Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods K Kirchner, K Urban, O Zeeb ESAIM: Mathematical Modelling and Numerical Analysis 50 (6), 1763-1787, 2016 | 7 | 2016 |
| Numerical methods for the deterministic second moment equation of parabolic stochastic PDEs K Kirchner Mathematics of Computation 89, 2801-2845, 2020 | 5* | 2020 |
| Regularity theory for a new class of fractional parabolic stochastic evolution equations K Kirchner, J Willems Stochastics and Partial Differential Equations: Analysis and Computations 12 …, 2024 | 3 | 2024 |
| Monte Carlo convergence rates for kth moments in Banach spaces K Kirchner, C Schwab Journal of Functional Analysis 286 (3), 110218, 2024 | 2 | 2024 |
| Multiple and weak Markov properties in Hilbert spaces with applications to fractional stochastic evolution equations K Kirchner, J Willems arXiv preprint arXiv:2310.13536, 2023 | | 2023 |
| When are linear predictions of random fields using wrong mean and covariance functions asymptotically optimal? K Kirchner | | 2022 |
| Numerical Approximation of Solutions to Stochastic Partial Differential Equations and Their Moments K Kirchner PQDT-Global, 2018 | | 2018 |
| Variational Methods for Moments of Solutions to Stochastic Differential Equations K Kirchner PQDT-Global, 2016 | | 2016 |
| CONVERGENCE OF GALERKIN APPROXIMATIONS FOR FRACTIONAL STOCHASTIC PDES K Kirchner DYNAMICS, EQUATIONS AND APPLICATIONS, 0 | | |
David BolinKing Abdullah University of Science and TechnologyEmail verificata su kaust.edu.sa