General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes H Ranocha, L Lóczi, DI Ketcheson Numerische Mathematik 146, 875–906, 2020 | 44 | 2020 |
Guaranteed- and high-precision evaluation of the Lambert W function L Lóczi Applied Mathematics and Computation 433 (Nov 15, 2022), 1–22, 2022 | 30 | 2022 |
Sobolev gradient preconditioning for the electrostatic potential equation J Karátson, L Lóczi Computers & Mathematics with Applications 50 (7), 1093–1104, 2005 | 20 | 2005 |
Strong stability preserving explicit linear multistep methods with variable step size Y Hadjimichael, D Ketcheson, L Lóczi, A Németh SIAM Journal on Numerical Analysis 54 (5), 2799–2832, 2016 | 19 | 2016 |
Internal error propagation in explicit Runge–Kutta methods DI Ketcheson, L Lóczi, M Parsani SIAM Journal on Numerical Analysis 52 (5), 2227–2249, 2014 | 14* | 2014 |
Technical report: Propagation of internal errors in explicit Runge–Kutta methods and internal stability of SSP and extrapolation methods DI Ketcheson, L Lóczi, M Parsani http://arxiv.org/abs/1309.1317, 2013 | 14* | 2013 |
On the absolute stability regions corresponding to partial sums of the exponential function D Ketcheson, T Kocsis, L Lóczi IMA Journal of Numerical Analysis 35 (3), 1426–1455, 2015 | 9 | 2015 |
Preservation of bifurcations under Runge–Kutta methods L Lóczi, J Páez Chávez Int. J. Qual. Theory Differ. Equ. Appl. 3 (1–2), 81–98, 2009 | 8 | 2009 |
PhD Thesis: Discretizing Elementary Bifurcations L Lóczi http://doktori.math.bme.hu/LocziLajos_dissertation.pdf, 2006 | 7* | 2006 |
Dense output for strong stability preserving Runge–Kutta methods D Ketcheson, L Lóczi, A Jangabylova, A Kusmanov Journal of Scientific Computing 71 (3), 944–958, 2016 | 6 | 2016 |
Monotone delay equations and Runge–Kutta discretization BM Garay, L Lóczi Functional Differential Equations 11 (1/2), 59–68, 2004 | 6 | 2004 |
Two centuries of the equations of commutativity and associativity of exponentiation L Lóczi Teaching Math. and Comp. Sci. 1 (2), 219–233, 2003 | 6 | 2003 |
Rational functions with maximal radius of absolute monotonicity L Lóczi, D Ketcheson LMS Journal of Computation and Mathematics 17 (1), 159–205, 2014 | 4 | 2014 |
A multiscale model for weakly nonlinear shallow water waves over periodic bathymetry DI Ketcheson, L Lóczi, G Russo arXiv preprint arXiv:2311.02603; accepted to SIAM Multiscale Modeling and …, 2023 | 3 | 2023 |
Linear multistep methods and global Richardson extrapolation I Fekete, L Lóczi Applied Mathematics Letters, 1–8, 2022 | 3 | 2022 |
Optimal subsets in the stability regions of multistep methods L Lóczi Numerical Algorithms 84 (2), 679–715, 2019 | 3 | 2019 |
Exact optimal values of step-size coefficients for boundedness of linear multistep methods L Lóczi Numerical Algorithms 77 (4), 1093–1116, 2018 | 3 | 2018 |
Discretizing the fold bifurcation—A conjugacy result B Garay, L Lóczi Periodica Mathematica Hungarica 56 (1), 37–53, 2008 | 3 | 2008 |
Positivity for convective semi-discretizations I Fekete, DI Ketcheson, L Lóczi Journal of Scientific Computing 74 (1), 244–266, 2017 | 2 | 2017 |
Discretizing the transcritical and pitchfork bifurcations—conjugacy results L Lóczi Journal of Difference Equations and Applications 21 (3), 155–196, 2015 | 2 | 2015 |