On Efficient Application of Implicit Runge-Kutta Methods to Large-Scale Systems of Index 1 Differential-Algebraic Equations. - Gennady Y. Kulikov; Alexandra A. Korneva (International Conference on Computational Science (1), 2001)

On Implementation of Vector Gauss Method for Solving Large-Scale Systems of Index 1 Differential-Algebraic Equations. - Gennady Y. Kulikov; Galina Ya. Benderskaya (International Conference on Computational Science (2), 2002)

Extrapolated Multistep Methods and Local-Global Step Size Control. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (International Conference on Computational Science, 2003)

An Advanced Version of the Local-Global Step Size Control for Runge-Kutta Methods Applied to Index 1 Differential-Algebraic Systems. - Gennady Y. Kulikov (International Conference on Computational Science, 2004)

On a Family of A-stable Collocation Methods with High Derivatives. - Gennady Y. Kulikov; Arkadi I. Merkulov; Ekaterina Yu. Khrustaleva (International Conference on Computational Science, 2004)

INTEGRATOR: A Computational Tool to Solve Ordinary Differential Equations with Global Error Control. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (International Conference on Computational Science, 2004)

Asymptotic Error Estimate of Iterative Newton-Type Methods and Its Practical Application. - Gennady Y. Kulikov; Arkadi I. Merkulov (ICCSA (3), 2004)

On Automatic Global Error Control in Multistep Methods with Polynomial Interpolation of Numerical Solution. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (ICCSA (3), 2004)

On Stable Integration of Stiff Ordinary Differential Equations with Global Error Control. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (International Conference on Computational Science (1), 2005)

Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation. - Gennady Y. Kulikov; Ekaterina Yu. Khrustaleva; Arkadi I. Merkulov (International Conference on Computational Science (1), 2006)

On a Family of Cheap Symmetric One-Step Methods of Order Four. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (International Conference on Computational Science (1), 2006)

Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (Math. Comput. Simul., 2006)

One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (Numer. Algorithms, 2006)

Numerical Tests with Gauss-Type Nested Implicit Runge-Kutta Formulas. - Gennady Y. Kulikov; Sergey Konstantinovich Shindin (International Conference on Computational Science (1), 2007)

Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation. - Gennady Y. Kulikov; Rüdiger Weiner (J. Comput. Appl. Math., 2010)

Local theory of extrapolation methods. - Gennady Y. Kulikov (Numer. Algorithms, 2010)

Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control. - Gennady Y. Kulikov; Rüdiger Weiner (SIAM J. Sci. Comput., 2010)

Global error estimation and control in linearly-implicit parallel two-step peer W-methods. - Gennady Y. Kulikov; Rüdiger Weiner (J. Comput. Appl. Math., 2011)

Global Error Control in Adaptive Nordsieck Methods. - Gennady Yu. Kulikov (SIAM J. Sci. Comput., 2012)

Square-root Accurate Continuous-Discrete Extended Kalman Filter for target tracking. - Maria V. Kulikova; Gennady Yu. Kulikov (CDC, 2013)

Accurate state estimation in the Van der Vusse reaction. - Gennady Yu. Kulikov; Maria V. Kulikova (CCA, 2014)

Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics. - Gennady Y. Kulikov; Pedro Miguel Lima; Maria Luísa Morgado (J. Comput. Appl. Math., 2014)

Adaptive ODE solvers in extended Kalman filtering algorithms. - Maria V. Kulikova; Gennady Yu. Kulikov (J. Comput. Appl. Math., 2014)

Local and global error estimation and control within explicit two-step peer triples. - Rüdiger Weiner; Gennady Y. Kulikov (J. Comput. Appl. Math., 2014)

Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter. - Gennady Yu. Kulikov; Maria V. Kulikova (IEEE Trans. Autom. Control., 2014)

State estimation in chemical systems with infrequent measurements. - Gennady Yu. Kulikov; Maria V. Kulikova (ECC, 2015)

A mixed-type accurate continuous-discrete extended-unscented kalman filter for target tracking. - Maria V. Kulikova; Gennady Yu. Kulikov (ECC, 2015)

High-order accurate continuous-discrete extended Kalman filter for chemical engineering. - Gennady Yu. Kulikov; Maria V. Kulikova (Eur. J. Control, 2015)

A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations. - Gennady Yu. Kulikov; Rüdiger Weiner (SIAM J. Sci. Comput., 2015)

Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering. - Gennady Yu. Kulikov; Maria V. Kulikova (ECC, 2016)

On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models. - Maria V. Kulikova; Gennady Yu. Kulikov (ECC, 2016)

Do the Contemporary Cubature and Unscented Kalman Filtering Methods Outperform Always the Traditional Extended Kalman Filter? - Gennady Yu. Kulikov; Maria V. Kulikova (CoRR, 2016)

Estimating the State in Stiff Continuous-Time Stochastic Systems within Extended Kalman Filtering. - Gennady Y. Kulikov; Maria V. Kulikova (SIAM J. Sci. Comput., 2016)

The Accurate Continuous-Discrete Extended Kalman Filter for Radar Tracking. - Gennady Yu. Kulikov; Maria V. Kulikova (IEEE Trans. Signal Process., 2016)

NIRK-based accurate continuous-discrete extended Kalman filters for estimating continuous-time stochastic target tracking models. - Maria V. Kulikova; Gennady Y. Kulikov (J. Comput. Appl. Math., 2017)

New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations. - Rüdiger Weiner; Gennady Y. Kulikov; Steffen Beck; Jürgen Bruder (J. Comput. Appl. Math., 2017)

Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering. - Gennady Y. Kulikov; Maria V. Kulikova (Math. Comput. Simul., 2017)

Accurate continuous-discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking. - Gennady Yu. Kulikov; Maria V. Kulikova (Signal Process., 2017)

Accurate State Estimation in Continuous-Discrete Stochastic State-Space Systems With Nonlinear or Nondifferentiable Observations. - Gennady Yu. Kulikov; Maria V. Kulikova (IEEE Trans. Autom. Control., 2017)

Stability analysis of Extended, Cubature and Unscented Kalman Filters for estimating stiff continuous-discrete stochastic systems. - Gennady Yu. Kulikov; Maria V. Kulikova (Autom., 2018)

Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods. - Gennady Y. Kulikov; Rüdiger Weiner (J. Comput. Appl. Math., 2018)

Estimation of maneuvering target in the presence of non-Gaussian noise: A coordinated turn case study. - Gennady Y. Kulikov; Maria V. Kulikova (Signal Process., 2018)

The J-Orthogonal Square-Root NIRK-Based Extended-Unscented Kalman Filter for Nonlinear Continuous-Discrete Stochastic Systems. - Gennady Yu. Kulikov; Maria V. Kulikova (CDC, 2019)

SVD-Based Factored-Form Extended Kalman Filters for State Estimation in Nonlinear Continuous-Discrete Stochastic Systems. - Gennady Yu. Kulikov; Maria V. Kulikova (ICSTCC, 2019)

Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance. - Gennady Yu. Kulikov; Maria V. Kulikova; Pedro Miguel Lima (ICSTCC, 2019)

Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. - Maria V. Kulikova; Gennady Yu. Kulikov; Pedro Miguel Lima (ICSTCC, 2019)

Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations. - Maria V. Kulikova; Gennady Yu. Kulikov; Pedro Miguel Lima (ICSTCC, 2020)

SVD-based factored-form Cubature Kalman Filtering for continuous-time stochastic systems with discrete measurements. - Maria V. Kulikova; Gennady Yu. Kulikov (Autom., 2020)

Square-root accurate continuous-discrete extended-unscented Kalman filtering methods with embedded orthogonal and J-orthogonal QR decompositions for estimation of nonlinear continuous-time stochastic models in radar tracking. - Gennady Y. Kulikov; Maria V. Kulikova (Signal Process., 2020)

UD-Based Pairwise and MIMO Kalman-Like Filtering for Estimation of Econometric Model Structures. - Maria V. Kulikova; Julia V. Tsyganova; Gennady Yu. Kulikov (IEEE Trans. Autom. Control., 2020)

Self-Adaptive MATLAB-Based Gauss-Hermite Quadrature Filter for State Estimation in Nonlinear Continuous-Discrete Stochastic Systems. - Gennady Yu. Kulikov; Maria V. Kulikova (ECC, 2021)

Reconstruction of Hidden States in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. - Maria V. Kulikova; Pedro Miguel Lima; Gennady Yu. Kulikov (ICSTCC, 2021)

Estimating a degree of evolving market efficiency: How efficient is the Romanian stock market? - Maria V. Kulikova; David R. Taylor; Gennady Yu. Kulikov (ICSTCC, 2021)

Ito^-Taylor-based square-root unscented Kalman filtering methods for state estimation in nonlinear continuous-discrete stochastic systems. - Gennady Yu. Kulikov; Maria V. Kulikova (Eur. J. Control, 2021)

Square-root high-degree cubature Kalman filters for state estimation in nonlinear continuous-discrete stochastic systems. - Gennady Yu. Kulikov; Maria Vyacheslavovna Kulikova (Eur. J. Control, 2021)

MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods. - Maria V. Kulikova; Gennady Y. Kulikov (Eur. J. Control, 2021)

Numerical solution of the neural field equation in the presence of random disturbance. - Gennady Yu. Kulikov; Pedro Miguel Lima; Maria V. Kulikova (J. Comput. Appl. Math., 2021)

SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation. - Maria V. Kulikova; Julia V. Tsyganova; Gennady Yu. Kulikov (J. Comput. Appl. Math., 2021)

Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields. - Maria V. Kulikova; Pedro Miguel Lima; Gennady Yu. Kulikov (ECC, 2022)

Accurate Itô-Taylor-Discretization-Based State Estimation in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. - Maria V. Kulikova; Pedro Miguel Lima; Gennady Yu. Kulikov (ECC, 2022)

Continuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods. - Maria V. Kulikova; Gennady Yu. Kulikov (Autom., 2022)

Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements. - Maria V. Kulikova; Pedro Miguel Lima; Gennady Yu. Kulikov (Comput. Biol. Medicine, 2022)

Estimation of market efficiency process within time-varying autoregressive models by extended Kalman filtering approach. - Maria V. Kulikova; Gennady Yu. Kulikov (Digit. Signal Process., 2022)

Overall hyperbolic-singular-value-decomposition-based square-root solutions in Kalman filters with deterministically sampled mean and covariance for state estimation in continuous-discrete nonlinear stochastic systems. - Gennady Yu. Kulikov; Maria Vyacheslavovna Kulikova (Eur. J. Control, 2022)

Hyperbolic-SVD-Based Square-Root Unscented Kalman Filters in Continuous-Discrete Target Tracking Scenarios. - Gennady Yu. Kulikov; Maria V. Kulikova (IEEE Trans. Autom. Control., 2022)

Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed. - Gennady Y. Kulikov; Maria V. Kulikova (J. Frankl. Inst., 2023)

Data-driven parameter estimation in stochastic dynamic neural fields by state-space approach and continuous-discrete extended Kalman filtering. - Maria V. Kulikova; Gennady Yu. Kulikov (Digit. Signal Process., 2023)

On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems. - Maria V. Kulikova; Gennady Yu. Kulikov (Eur. J. Control, 2023)

Maximum-correntropy-based sequential method for fast neural population activity reconstruction in the cortex from incomplete abnormally-disturbed noisy measurements. - Maria V. Kulikova; Gennady Y. Kulikov (Commun. Nonlinear Sci. Numer. Simul., 2024)

Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations. - Maria V. Kulikova; Gennady Yu. Kulikov (Eur. J. Control, 2024)

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. - Gennady Y. Kulikov; Maria V. Kulikova (J. Frankl. Inst., 2024)

Euler-Maruyama-Based Data-Driven State Restoration and Parameter Adaptation in Stochastic Neural Fields With Finite Signal Transmission Rate. - Maria V. Kulikova; Gennady Yu. Kulikov (IEEE Trans. Inf. Theory, 2024)

Improved stochastic estimator of time-varying autoregressive models with heteroscedastic variance process and application. - Maria V. Kulikova; Gennady Yu. Kulikov (Autom., 2025)

Hidden state estimation in stochastic integro-differential Amari model by adaptive singly diagonally implicit two-step peer triples with global error control. - Gennady Y. Kulikov; Rüdiger Weiner; Maria V. Kulikova (Digit. Signal Process., 2025)

SVD-based square-root Kalman filtering: A survey of existing implementation methods and novel techniques. - Maria V. Kulikova; Gennady Y. Kulikov (Digit. Signal Process., 2025)