Adaptive nested implicit Runge–Kutta formulas of Gauss type GY Kulikov, SK Shindin Applied numerical mathematics 59 (3-4), 707-722, 2009 | 60 | 2009 |
One-leg variable-coefficient formulas for ordinary differential equations and local–global step size control GY Kulikov, SK Shindin Numerical Algorithms 43, 99-121, 2006 | 34 | 2006 |
Asymptotic error estimate for general Newton-type methods and its application to differential equations GY Kulikov, AI Merkulov, SK Shindin Walter de Gruyter 22 (6), 567-590, 2007 | 25 | 2007 |
Aggregation in age and space structured population models: an asymptotic analysis approach J Banasiak, A Goswami, S Shindin Journal of Evolution Equations 11 (1), 121-154, 2011 | 24 | 2011 |
Global error estimation and extrapolated multistep methods for index 1 differential-algebraic systems GY Kulikov, SK Shindin BIT Numerical Mathematics 45, 517-542, 2005 | 22 | 2005 |
On a family of cheap symmetric one-step methods of order four GY Kulikov, SK Shindin International Conference on Computational Science, 781-785, 2006 | 21 | 2006 |
Numerical tests with Gauss-type nested implicit Runge-Kutta formulas GY Kulikov, SK Shindin International Conference on Computational Science, 136-143, 2007 | 19 | 2007 |
On interpolation-type multistep methods with automatic global error control GY Kulikov, SK Shindin Computational Mathematics and Mathematical Physics 44 (8), 1314-1333, 2004 | 18 | 2004 |
Local and global error estimation in Nordsieck methods GY Kulikov, SK Shindin Walter de Gruyter GmbH & Co. KG 23 (6), 567-595, 2008 | 16 | 2008 |
A technique for controlling the global error in multistep methods GY Kulikov, SK Shindin Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki 40 (9), 1308-1329, 2000 | 16 | 2000 |
One-leg integration of ordinary differential equations with global error control GY Kulikov, SK Shindin Computational Methods in Applied Mathematics 5 (1), 86-96, 2005 | 14 | 2005 |
On effective computation of asymptotically correct estimates of the local and global errors for multistep methods with fixed coefficients GY Kulikov, SK Shindin Computational Mathematics and Mathematical Physics 44 (5), 794-814, 2004 | 13 | 2004 |
Discrete growth–decay–fragmentation equation: well-posedness and long-term dynamics J Banasiak, LO Joel, S Shindin Journal of Evolution Equations 19, 771-802, 2019 | 11 | 2019 |
Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon GY Kulikov, SK Shindin Mathematics and Computers in Simulation 72 (1), 47-56, 2006 | 11 | 2006 |
On multistep extrapolation methods for ordinary differential equations GY Kulikov, SK Shindin Doklady Mathematics 61 (3), 357-360, 2000 | 11 | 2000 |
Pseudospectral Laguerre approximation of transport–fragmentation equations J Banasiak, N Parumasur, WD Poka, S Shindin Applied Mathematics and Computation 239, 107-125, 2014 | 9 | 2014 |
Analysis and simulations of the discrete fragmentation equation with decay J Banasiak, LO Joel, S Shindin Mathematical Methods in the Applied Sciences 41 (16), 6530-6545, 2018 | 8 | 2018 |
Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations J Banasiak, A Goswami, S Shindin Mediterranean Journal of Mathematics 11, 533-559, 2014 | 8 | 2014 |
A local-global stepsize control for multistep methods applied to semi-explicit index 1 differential-algebraic equations GY Kulikov, SK Shindin Korean Journal of Computational & Applied Mathematics 6, 463-492, 1999 | 8 | 1999 |
The discrete unbounded coagulation-fragmentation equation with growth, decay and sedimentation J Banasiak, LO Joel, S Shindin arXiv preprint arXiv:1809.00046, 2018 | 5 | 2018 |