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Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed

Journal of the Franklin Institute, 2023-01, Vol.360 (1), p.176-202

2023

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Accurate continuous–discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking

Signal processing, 2017-10, Vol.139, p.25-35

2017

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Estimation of maneuvering target in the presence of non-Gaussian noise: A coordinated turn case study

Signal processing, 2018-04, Vol.145, p.241-257

2018

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Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods

Journal of computational and applied mathematics, 2018-10, Vol.340, p.256-275

2018

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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

Journal of the Franklin Institute, 2024-05, Vol.361 (7), p.106768, Article 106768

2024

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Data-driven parameter estimation in stochastic dynamic neural fields by state-space approach and continuous-discrete extended Kalman filtering

Digital signal processing, 2023-05, Vol.136, p.104010, Article 104010

2023

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Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations

Applied numerical mathematics, 2020-08, Vol.154, p.223-242

2020

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NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements

Applied numerical mathematics, 2020-01, Vol.147, p.196-221

2020

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Estimation of market efficiency process within time-varying autoregressive models by extended Kalman filtering approach

Digital signal processing, 2022-08, Vol.128, p.103619, Article 103619

2022

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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 processing, 2020-01, Vol.166, p.107253, Article 107253

2020

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Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements

Applied numerical mathematics, 2017-01, Vol.111, p.260-275

2017

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Numerical solution of the stochastic neural field equation with applications to working memory

Physica A, 2022-06, Vol.596, p.127166, Article 127166

2022

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Local and global error estimation and control within explicit two-step peer triples

Journal of computational and applied mathematics, 2014-05, Vol.262, p.261-270

2014

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Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering

Mathematics and computers in simulation, 2017-12, Vol.142, p.62-81

2017

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Numerical solution of the neural field equation in the presence of random disturbance

Journal of computational and applied mathematics, 2021-05, Vol.387, p.112563, Article 112563

2021

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SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation

Journal of computational and applied mathematics, 2021-05, Vol.387, p.112487, Article 112487

2021

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MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods

European journal of control, 2021-05, Vol.59, p.1-12

2021

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NIRK-based accurate continuous–discrete extended Kalman filters for estimating continuous-time stochastic target tracking models

Journal of computational and applied mathematics, 2017-05, Vol.316, p.260-270

2017

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Adaptive ODE solvers in extended Kalman filtering algorithms

Journal of computational and applied mathematics, 2014-05, Vol.262, p.205-216

2014

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New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations

Journal of computational and applied mathematics, 2017-05, Vol.316, p.380-391

2017

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On quasi-consistent integration by Nordsieck methods

Journal of computational and applied mathematics, 2009-03, Vol.225 (1), p.268-287

Kulikov, G.Yu

2009

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Global error estimation and control in linearly-implicit parallel two-step peer W-methods

Journal of computational and applied mathematics, 2011-10, Vol.236 (6), p.1226-1239

2011

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Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics

Journal of computational and applied mathematics, 2014-05, Vol.262, p.87-104

2014

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Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation

Journal of computational and applied mathematics, 2010-03, Vol.233 (9), p.2351-2364

2010

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Variable-stepsize doubly quasi-consistent parallel explicit peer methods with global error control

Applied numerical mathematics, 2012-10, Vol.62 (10), p.1591-1603

2012

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Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed

Accurate continuous–discrete unscented Kalman filtering for estimation of nonlinear continuous-time stochastic models in radar tracking

Estimation of maneuvering target in the presence of non-Gaussian noise: A coordinated turn case study

Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods

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

Data-driven parameter estimation in stochastic dynamic neural fields by state-space approach and continuous-discrete extended Kalman filtering

Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations

NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements

Estimation of market efficiency process within time-varying autoregressive models by extended Kalman filtering approach

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

Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements

Numerical solution of the stochastic neural field equation with applications to working memory

Local and global error estimation and control within explicit two-step peer triples

Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering

Numerical solution of the neural field equation in the presence of random disturbance

SVD-based state and parameter estimation approach for generalized Kalman filtering with application to GARCH-in-Mean estimation

MATLAB-based general approach for square-root extended-unscented and fifth-degree cubature Kalman filtering methods

NIRK-based accurate continuous–discrete extended Kalman filters for estimating continuous-time stochastic target tracking models

Adaptive ODE solvers in extended Kalman filtering algorithms

New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations

On quasi-consistent integration by Nordsieck methods

Global error estimation and control in linearly-implicit parallel two-step peer W-methods

Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics

Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation

Variable-stepsize doubly quasi-consistent parallel explicit peer methods with global error control

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