Gennady Y. Kulikov

34 papers Misc 10Journal 22Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
Numerically stable square-root solutions in the family of adaptive Gaussian filters based on the general moment calculation principle for state estimation in continuous-discrete nonlinear stochastic systems.
Math. Comput. Simul.
Gennady Y. Kulikov, Maria V. Kulikova
2025 J jnl
Hidden state estimation in stochastic integro-differential Amari model by adaptive singly diagonally implicit two-step peer triples with global error control.
Digit. Signal Process.
Gennady Y. Kulikov, Rüdiger Weiner, Maria V. Kulikova
2025 J jnl
SVD-based square-root Kalman filtering: A survey of existing implementation methods and novel techniques.
Digit. Signal Process.
Maria V. Kulikova, Gennady Y. Kulikov
2024 J jnl
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.
Maria V. Kulikova, Gennady Y. Kulikov
2024 J jnl
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.
Gennady Y. Kulikov, Maria V. Kulikova
2023 J jnl
Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed.
J. Frankl. Inst.
Gennady Y. Kulikov, Maria V. Kulikova
2021 J jnl
MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods.
Eur. J. Control
Maria V. Kulikova, Gennady Y. Kulikov
2020 J jnl
Square-root accurate continuous-discrete extended-unscented Kalman filtering methods with embedded orthogonal and
Signal Process.
Gennady Y. Kulikov, Maria V. Kulikova
2018 J jnl
Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods.
J. Comput. Appl. Math.
Gennady Y. Kulikov, Rüdiger Weiner
2018 J jnl
Estimation of maneuvering target in the presence of non-Gaussian noise: A coordinated turn case study.
Signal Process.
Gennady Y. Kulikov, Maria V. Kulikova
2017 J jnl
Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering.
Math. Comput. Simul.
Gennady Y. Kulikov, Maria V. Kulikova
2017 J jnl
NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models.
J. Comput. Appl. Math.
Maria V. Kulikova, Gennady Y. Kulikov
2017 J jnl
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.
Rüdiger Weiner, Gennady Y. Kulikov, Steffen Beck, Jürgen Bruder
2016 J jnl
Estimating the State in Stiff Continuous-Time Stochastic Systems within Extended Kalman Filtering.
SIAM J. Sci. Comput.
Gennady Y. Kulikov, Maria V. Kulikova
2014 J jnl
Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics.
J. Comput. Appl. Math.
Gennady Y. Kulikov, Pedro Miguel Lima, Maria Luísa Morgado
2014 J jnl
Local and global error estimation and control within explicit two-step peer triples.
J. Comput. Appl. Math.
Rüdiger Weiner, Gennady Y. Kulikov
2011 J jnl
Global error estimation and control in linearly-implicit parallel two-step peer W-methods.
J. Comput. Appl. Math.
Gennady Y. Kulikov, Rüdiger Weiner
2010 J jnl
Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation.
J. Comput. Appl. Math.
Gennady Y. Kulikov, Rüdiger Weiner
2010 J jnl
Local theory of extrapolation methods.
Numer. Algorithms
Gennady Y. Kulikov
2010 J jnl
Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control.
SIAM J. Sci. Comput.
Gennady Y. Kulikov, Rüdiger Weiner
2007 Misc conf
Numerical Tests with Gauss-Type Nested Implicit Runge-Kutta Formulas.
International Conference on Computational Science (1)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2006 J jnl
Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon.
Math. Comput. Simul.
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2006 Misc conf
On a Family of Cheap Symmetric One-Step Methods of Order Four.
International Conference on Computational Science (1)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2006 J jnl
One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control.
Numer. Algorithms
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2006 Misc conf
Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation.
International Conference on Computational Science (1)
Gennady Y. Kulikov, Ekaterina Yu. Khrustaleva, Arkadi I. Merkulov
2005 Misc conf
On Stable Integration of Stiff Ordinary Differential Equations with Global Error Control.
International Conference on Computational Science (1)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2004 Misc conf
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
Gennady Y. Kulikov
2004 — conf
Asymptotic Error Estimate of Iterative Newton-Type Methods and Its Practical Application.
ICCSA (3)
Gennady Y. Kulikov, Arkadi I. Merkulov
2004 Misc conf
INTEGRATOR: A Computational Tool to Solve Ordinary Differential Equations with Global Error Control.
International Conference on Computational Science
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2004 — conf
On Automatic Global Error Control in Multistep Methods with Polynomial Interpolation of Numerical Solution.
ICCSA (3)
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2004 Misc conf
On a Family of A-stable Collocation Methods with High Derivatives.
International Conference on Computational Science
Gennady Y. Kulikov, Arkadi I. Merkulov, Ekaterina Yu. Khrustaleva
2003 Misc conf
Extrapolated Multistep Methods and Local-Global Step Size Control.
International Conference on Computational Science
Gennady Y. Kulikov, Sergey Konstantinovich Shindin
2002 Misc conf
On Implementation of Vector Gauss Method for Solving Large-Scale Systems of Index 1 Differential-Algebraic Equations.
International Conference on Computational Science (2)
Gennady Y. Kulikov, Galina Ya. Benderskaya
2001 Misc conf
On Efficient Application of Implicit Runge-Kutta Methods to Large-Scale Systems of Index 1 Differential-Algebraic Equations.
International Conference on Computational Science (1)
Gennady Y. Kulikov, Alexandra A. Korneva