Kulikova, Maria V.; Kulikov, Gennady Yu. On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems. (English) Zbl 1521.93195 Eur. J. Control 73, Article ID 100886, 12 p. (2023). MSC: 93E11 93C55 93C15 PDFBibTeX XMLCite \textit{M. V. Kulikova} and \textit{G. Yu. Kulikov}, Eur. J. Control 73, Article ID 100886, 12 p. (2023; Zbl 1521.93195) Full Text: DOI
Burstein, Leonid PDE toolbox primer for engineering applications with MATLAB basics. (English) Zbl 1523.35002 Boca Raton, FL: CRC Press (ISBN 978-1-032-05997-6/hbk; 978-1-032-06022-4/pbk; 978-1-003-20035-2/ebook). xvii, 363 p. (2022). MSC: 35-04 35Qxx PDFBibTeX XMLCite \textit{L. Burstein}, PDE toolbox primer for engineering applications with MATLAB basics. Boca Raton, FL: CRC Press (2022; Zbl 1523.35002) Full Text: DOI
Kulikova, Maria V.; Kulikov, Gennady Yu. Continuous-discrete unscented Kalman filtering framework by MATLAB ODE solvers and square-root methods. (English) Zbl 1496.93119 Automatica 142, Article ID 110396, 9 p. (2022). MSC: 93E11 PDFBibTeX XMLCite \textit{M. V. Kulikova} and \textit{G. Yu. Kulikov}, Automatica 142, Article ID 110396, 9 p. (2022; Zbl 1496.93119) Full Text: DOI
Kulikov, G. Yu.; Kulikova, M. V. Estimating the state in stiff continuous-time stochastic systems within extended Kalman filtering. (English) Zbl 1353.65009 SIAM J. Sci. Comput. 38, No. 6, A3565-A3588 (2016). MSC: 65C30 93E11 60H10 60H35 65L04 65L06 65L70 34F05 PDFBibTeX XMLCite \textit{G. Yu. Kulikov} and \textit{M. V. Kulikova}, SIAM J. Sci. Comput. 38, No. 6, A3565--A3588 (2016; Zbl 1353.65009) Full Text: DOI
Kulikova, M. V.; Kulikov, G. Yu. Adaptive ODE solvers in extended Kalman filtering algorithms. (English) Zbl 1301.65062 J. Comput. Appl. Math. 262, 205-216 (2014). MSC: 65L05 93E11 PDFBibTeX XMLCite \textit{M. V. Kulikova} and \textit{G. Yu. Kulikov}, J. Comput. Appl. Math. 262, 205--216 (2014; Zbl 1301.65062) Full Text: DOI
Nguyen-Ba, Truong; Sharp, Philip W.; Vaillancourt, Rémi Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size. (English) Zbl 1153.65071 J. Comput. Appl. Math. 222, No. 2, 608-621 (2008). MSC: 65L06 65L05 34A34 68W30 65L50 65L70 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., J. Comput. Appl. Math. 222, No. 2, 608--621 (2008; Zbl 1153.65071) Full Text: DOI
Abelman, Shirley; Patidar, Kailash C. Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations. (English) Zbl 1142.65054 Comput. Math. Appl. 55, No. 4, 733-744 (2008). MSC: 65L05 34A34 65L12 80A25 PDFBibTeX XMLCite \textit{S. Abelman} and \textit{K. C. Patidar}, Comput. Math. Appl. 55, No. 4, 733--744 (2008; Zbl 1142.65054) Full Text: DOI
Nguyen-Ba, Truong; Sharp, Philip W. Hermite-Birkhoff-Obrechkoff 3-stage 4-step ODE solver of order 14 with quantized stepsize. (English) Zbl 1137.65382 Can. Appl. Math. Q. 15, No. 2, 181-202 (2007). MSC: 65L06 65L05 34A34 65L50 65L70 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} and \textit{P. W. Sharp}, Can. Appl. Math. Q. 15, No. 2, 181--202 (2007; Zbl 1137.65382)
Nguyen-Ba, Truong; Yagoub, Hemza; Zhang, Yu; Vaillancourt, Remi Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff ODE solver of order 4 to 14. (English) Zbl 1138.65058 Can. Appl. Math. Q. 14, No. 4, 413-437 (2006). MSC: 65L06 65L05 34A34 65L20 65L70 65L50 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., Can. Appl. Math. Q. 14, No. 4, 413--437 (2006; Zbl 1138.65058)
Lin, Ping; O’Malley, R. E. jun. The numerical solution of a challenging class of turning point problems. (English) Zbl 1147.34346 SIAM J. Sci. Comput. 25, No. 3, 927-941 (2003). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E20 65L05 34E05 PDFBibTeX XMLCite \textit{P. Lin} and \textit{R. E. O'Malley jun.}, SIAM J. Sci. Comput. 25, No. 3, 927--941 (2003; Zbl 1147.34346) Full Text: DOI