Gennady Y. Kulikov

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 11

Top Topics

Kalman Filtering

State Estimation

Target Tracking

Stochastic Model

Top Venues

J. Comput. Appl. Math.

J. Frankl. Inst.

Signal Process.

Eur. J. Control

Publications

Maria V. Kulikova, Gennady Y. Kulikov
Maximum-correntropy-based sequential method for fast neural population activity reconstruction in the cortex from incomplete abnormally-disturbed noisy measurements. Commun. Nonlinear Sci. Numer. Simul. 139 (2024)
Gennady Y. Kulikov, Maria V. Kulikova
NIRK-based mixed-type accurate continuous-discrete Gaussian filters with deterministically sampled expectation and covariance for state estimation in continuous-time stochastic process models with discrete measurements. J. Frankl. Inst. 361 (7) (2024)
Gennady Y. Kulikov, Maria V. Kulikova
Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed. J. Frankl. Inst. 360 (1) (2023)
Maria V. Kulikova, Gennady Y. Kulikov
MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods. Eur. J. Control 59 (2021)
Gennady Y. Kulikov, Maria V. Kulikova
decompositions for estimation of nonlinear continuous-time stochastic models in radar tracking. Signal Process. 166 (2020)
Gennady Y. Kulikov, Maria V. Kulikova
Estimation of maneuvering target in the presence of non-Gaussian noise: A coordinated turn case study. Signal Process. 145 (2018)
Gennady Y. Kulikov, Rüdiger Weiner
Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods. J. Comput. Appl. Math. 340 (2018)
Rüdiger Weiner, Gennady Y. Kulikov, Steffen Beck, Jürgen Bruder
New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations. J. Comput. Appl. Math. 316 (2017)
Maria V. Kulikova, Gennady Y. Kulikov
NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models. J. Comput. Appl. Math. 316 (2017)
Gennady Y. Kulikov, Maria V. Kulikova
Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering. Math. Comput. Simul. 142 (2017)
Gennady Y. Kulikov, Maria V. Kulikova
Estimating the State in Stiff Continuous-Time Stochastic Systems within Extended Kalman Filtering. SIAM J. Sci. Comput. 38 (6) (2016)
Rüdiger Weiner, Gennady Y. Kulikov
Local and global error estimation and control within explicit two-step peer triples. J. Comput. Appl. Math. 262 (2014)
Gennady Y. Kulikov, Pedro Miguel Lima, Maria Luísa Morgado
Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics. J. Comput. Appl. Math. 262 (2014)
Gennady Y. Kulikov, Rüdiger Weiner
Global error estimation and control in linearly-implicit parallel two-step peer W-methods. J. Comput. Appl. Math. 236 (6) (2011)
Gennady Y. Kulikov, Rüdiger Weiner
Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control. SIAM J. Sci. Comput. 32 (4) (2010)
Gennady Y. Kulikov, Rüdiger Weiner
Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation. J. Comput. Appl. Math. 233 (9) (2010)
Gennady Y. Kulikov
Local theory of extrapolation methods. Numer. Algorithms 53 (2-3) (2010)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
Numerical Tests with Gauss-Type Nested Implicit Runge-Kutta Formulas. International Conference on Computational Science (1) (2007)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control. Numer. Algorithms 43 (1) (2006)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon. Math. Comput. Simul. 72 (1) (2006)
Gennady Y. Kulikov, Ekaterina Yu. Khrustaleva, Arkadi I. Merkulov
Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation. International Conference on Computational Science (1) (2006)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
On a Family of Cheap Symmetric One-Step Methods of Order Four. International Conference on Computational Science (1) (2006)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
On Stable Integration of Stiff Ordinary Differential Equations with Global Error Control. International Conference on Computational Science (1) (2005)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
On Automatic Global Error Control in Multistep Methods with Polynomial Interpolation of Numerical Solution. ICCSA (3) (2004)
Gennady Y. Kulikov
An Advanced Version of the Local-Global Step Size Control for Runge-Kutta Methods Applied to Index 1 Differential-Algebraic Systems. International Conference on Computational Science (2004)
Gennady Y. Kulikov, Arkadi I. Merkulov, Ekaterina Yu. Khrustaleva
On a Family of A-stable Collocation Methods with High Derivatives. International Conference on Computational Science (2004)
Gennady Y. Kulikov, Arkadi I. Merkulov
Asymptotic Error Estimate of Iterative Newton-Type Methods and Its Practical Application. ICCSA (3) (2004)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
INTEGRATOR: A Computational Tool to Solve Ordinary Differential Equations with Global Error Control. International Conference on Computational Science (2004)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
Extrapolated Multistep Methods and Local-Global Step Size Control. International Conference on Computational Science (2003)
Gennady Y. Kulikov, Galina Ya. Benderskaya
On Implementation of Vector Gauss Method for Solving Large-Scale Systems of Index 1 Differential-Algebraic Equations. International Conference on Computational Science (2) (2002)
Gennady Y. Kulikov, Alexandra A. Korneva
On Efficient Application of Implicit Runge-Kutta Methods to Large-Scale Systems of Index 1 Differential-Algebraic Equations. International Conference on Computational Science (1) (2001)