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ORCIDGennady Y. Kulikov
Gennady Yu. Kulikov
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Journal Articles
- 2024
[j43]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: 108266 (2024)- [j42]Maria V. Kulikova, Gennady Yu. Kulikov:
Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations. Eur. J. Control 76: 100960 (2024) - [j41]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): 106768 (2024) - [j40]Maria V. Kulikova, Gennady Yu. Kulikov:
Euler-Maruyama-Based Data-Driven State Restoration and Parameter Adaptation in Stochastic Neural Fields With Finite Signal Transmission Rate. IEEE Trans. Inf. Theory 70(6): 4571-4581 (2024) - 2023
- [j39]Maria V. Kulikova, Gennady Yu. Kulikov:
Data-driven parameter estimation in stochastic dynamic neural fields by state-space approach and continuous-discrete extended Kalman filtering. Digit. Signal Process. 136: 104010 (2023) - [j38]Maria V. Kulikova, Gennady Yu. Kulikov:
On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems. Eur. J. Control 73: 100886 (2023) - [j37]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): 176-202 (2023) - 2022
- [j36]Maria V. Kulikova, Gennady Yu. Kulikov:
Continuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods. Autom. 142: 110396 (2022) - [j35]Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov:
Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements. Comput. Biol. Medicine 141: 105103 (2022) - [j34]Maria V. Kulikova, Gennady Yu. Kulikov:
Estimation of market efficiency process within time-varying autoregressive models by extended Kalman filtering approach. Digit. Signal Process. 128: 103619 (2022) - [j33]Gennady Yu. Kulikov, Maria Vyacheslavovna Kulikova:
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. Eur. J. Control 66: 100648 (2022) - [j32]Gennady Yu. Kulikov, Maria V. Kulikova:
Hyperbolic-SVD-Based Square-Root Unscented Kalman Filters in Continuous-Discrete Target Tracking Scenarios. IEEE Trans. Autom. Control. 67(1): 366-373 (2022) - 2021
- [j31]Gennady Yu. Kulikov, Maria V. Kulikova:
Ito^-Taylor-based square-root unscented Kalman filtering methods for state estimation in nonlinear continuous-discrete stochastic systems. Eur. J. Control 58: 101-113 (2021) - [j30]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: 1-12 (2021) - [j29]Gennady Yu. Kulikov, Maria Vyacheslavovna Kulikova:
Square-root high-degree cubature Kalman filters for state estimation in nonlinear continuous-discrete stochastic systems. Eur. J. Control 59: 58-68 (2021) - [j28]Maria V. Kulikova, Julia V. Tsyganova, Gennady Yu. Kulikov:
SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation. J. Comput. Appl. Math. 387: 112487 (2021) - [j27]Gennady Yu. Kulikov, Pedro Miguel Lima, Maria V. Kulikova:
Numerical solution of the neural field equation in the presence of random disturbance. J. Comput. Appl. Math. 387: 112563 (2021) - 2020
- [j26]Maria V. Kulikova, Gennady Yu. Kulikov:
SVD-based factored-form Cubature Kalman Filtering for continuous-time stochastic systems with discrete measurements. Autom. 120: 109110 (2020) - [j25]Gennady Y. Kulikov, Maria V. Kulikova:
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. Signal Process. 166 (2020) - [j24]Maria V. Kulikova, Julia V. Tsyganova, Gennady Yu. Kulikov:
UD-Based Pairwise and MIMO Kalman-Like Filtering for Estimation of Econometric Model Structures. IEEE Trans. Autom. Control. 65(10): 4472-4479 (2020) - 2018
- [j23]Gennady Yu. Kulikov, Maria V. Kulikova:
Stability analysis of Extended, Cubature and Unscented Kalman Filters for estimating stiff continuous-discrete stochastic systems. Autom. 90: 91-97 (2018) - [j22]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: 256-275 (2018) - [j21]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: 241-257 (2018) - 2017
- [j20]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: 260-270 (2017) - [j19]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: 380-391 (2017) - [j18]Gennady Y. Kulikov, Maria V. Kulikova:
Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering. Math. Comput. Simul. 142: 62-81 (2017) - [j17]Gennady Yu. Kulikov, Maria V. Kulikova:
Accurate continuous-discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking. Signal Process. 139: 25-35 (2017) - [j16]Gennady Yu. Kulikov, Maria V. Kulikova:
Accurate State Estimation in Continuous-Discrete Stochastic State-Space Systems With Nonlinear or Nondifferentiable Observations. IEEE Trans. Autom. Control. 62(8): 4243-4250 (2017) - 2016
- [j15]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) - [j14]Gennady Yu. Kulikov, Maria V. Kulikova:
The Accurate Continuous-Discrete Extended Kalman Filter for Radar Tracking. IEEE Trans. Signal Process. 64(4): 948-958 (2016) - 2015
- [j13]Gennady Yu. Kulikov, Maria V. Kulikova:
High-order accurate continuous-discrete extended Kalman filter for chemical engineering. Eur. J. Control 21: 14-26 (2015) - [j12]Gennady Yu. Kulikov, Rüdiger Weiner:
A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j11]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: 87-104 (2014) - [j10]Maria V. Kulikova, Gennady Yu. Kulikov:
Adaptive ODE solvers in extended Kalman filtering algorithms. J. Comput. Appl. Math. 262: 205-216 (2014) - [j9]Rüdiger Weiner, Gennady Y. Kulikov:
Local and global error estimation and control within explicit two-step peer triples. J. Comput. Appl. Math. 262: 261-270 (2014) - [j8]Gennady Yu. Kulikov, Maria V. Kulikova:
Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter. IEEE Trans. Autom. Control. 59(1): 273-279 (2014) - 2012
- [j7]Gennady Yu. Kulikov:
Global Error Control in Adaptive Nordsieck Methods. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j6]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): 1226-1239 (2011) - 2010
- [j5]Gennady Y. Kulikov, Rüdiger Weiner:
Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation. J. Comput. Appl. Math. 233(9): 2351-2364 (2010) - [j4]Gennady Y. Kulikov:
Local theory of extrapolation methods. Numer. Algorithms 53(2-3): 321-342 (2010) - [j3]Gennady Y. Kulikov, Rüdiger Weiner:
Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control. SIAM J. Sci. Comput. 32(4): 1695-1723 (2010) - 2006
- [j2]Gennady Y. Kulikov, Sergey Konstantinovich Shindin:
Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon. Math. Comput. Simul. 72(1): 47-56 (2006) - [j1]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): 99-121 (2006)
Conference and Workshop Papers
- 2022
- [c28]Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov:
Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields. ECC 2022: 1061-1066 - [c27]Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov:
Accurate Itô-Taylor-Discretization-Based State Estimation in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. ECC 2022: 1436-1441 - 2021
- [c26]Gennady Yu. Kulikov, Maria V. Kulikova:
Self-Adaptive MATLAB-Based Gauss-Hermite Quadrature Filter for State Estimation in Nonlinear Continuous-Discrete Stochastic Systems. ECC 2021: 848-853 - [c25]Maria V. Kulikova, Pedro Miguel Lima, Gennady Yu. Kulikov:
Reconstruction of Hidden States in Stochastic Neural Field Equations with Infinite Signal Transmission Rate. ICSTCC 2021: 358-365 - [c24]Maria V. Kulikova, David R. Taylor, Gennady Yu. Kulikov:
Estimating a degree of evolving market efficiency: How efficient is the Romanian stock market? ICSTCC 2021: 665-670 - 2020
- [c23]Maria V. Kulikova, Gennady Yu. Kulikov, Pedro Miguel Lima:
Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations. ICSTCC 2020: 254-261 - 2019
- [c22]Gennady Yu. Kulikov, Maria V. Kulikova:
The J-Orthogonal Square-Root NIRK-Based Extended-Unscented Kalman Filter for Nonlinear Continuous-Discrete Stochastic Systems. CDC 2019: 373-378 - [c21]Gennady Yu. Kulikov, Maria V. Kulikova:
SVD-Based Factored-Form Extended Kalman Filters for State Estimation in Nonlinear Continuous-Discrete Stochastic Systems. ICSTCC 2019: 137-142 - [c20]Gennady Yu. Kulikov, Maria V. Kulikova, Pedro Miguel Lima:
Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance. ICSTCC 2019: 644-649 - [c19]Maria V. Kulikova, Gennady Yu. Kulikov, Pedro Miguel Lima:
Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. ICSTCC 2019: 650-655 - 2016
- [c18]Maria V. Kulikova, Gennady Yu. Kulikov:
On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models. ECC 2016: 1129-1134 - [c17]Gennady Yu. Kulikov, Maria V. Kulikova:
Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering. ECC 2016: 1728-1733 - 2015
- [c16]Gennady Yu. Kulikov, Maria V. Kulikova:
State estimation in chemical systems with infrequent measurements. ECC 2015: 2688-2693 - [c15]Maria V. Kulikova, Gennady Yu. Kulikov:
A mixed-type accurate continuous-discrete extended-unscented kalman filter for target tracking. ECC 2015: 2824-2829 - 2014
- [c14]Gennady Yu. Kulikov, Maria V. Kulikova:
Accurate state estimation in the Van der Vusse reaction. CCA 2014: 759-764 - 2013
- [c13]Maria V. Kulikova, Gennady Yu. Kulikov:
Square-root Accurate Continuous-Discrete Extended Kalman Filter for target tracking. CDC 2013: 7785-7790 - 2007
- [c12]Gennady Y. Kulikov, Sergey Konstantinovich Shindin:
Numerical Tests with Gauss-Type Nested Implicit Runge-Kutta Formulas. International Conference on Computational Science (1) 2007: 136-143 - 2006
- [c11]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: 117-123 - [c10]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: 781-785 - 2005
- [c9]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: 42-49 - 2004
- [c8]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: 73-80 - [c7]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: 565-569 - [c6]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: 570-573 - [c5]Gennady Y. Kulikov, Sergey Konstantinovich Shindin:
On Automatic Global Error Control in Multistep Methods with Polynomial Interpolation of Numerical Solution. ICCSA (3) 2004: 345-354 - [c4]Gennady Y. Kulikov, Arkadi I. Merkulov:
Asymptotic Error Estimate of Iterative Newton-Type Methods and Its Practical Application. ICCSA (3) 2004: 667-675 - 2003
- [c3]Gennady Y. Kulikov, Sergey Konstantinovich Shindin:
Extrapolated Multistep Methods and Local-Global Step Size Control. International Conference on Computational Science 2003: 540-549 - 2002
- [c2]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: 412-421 - 2001
- [c1]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: 832-841
Informal and Other Publications
- 2024
- [i3]Maria V. Kulikova, Gennady Yu. Kulikov:
Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations. CoRR abs/2403.04448 (2024) - 2023
- [i2]Maria V. Kulikova, Gennady Yu. Kulikov:
Continuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods. CoRR abs/2310.04126 (2023) - 2016
- [i1]Gennady Yu. Kulikov, Maria V. Kulikova:
Do the Contemporary Cubature and Unscented Kalman Filtering Methods Outperform Always the Traditional Extended Kalman Filter? CoRR abs/1604.04498 (2016)
Coauthor Index
Maria V. Kulikova
aka: Maria Vyacheslavovna Kulikova
aka: Maria Vyacheslavovna Kulikova
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