Search Results - Nested implicit Runge–Kutta formulas with global error control

Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics by Kulikov, G.Yu, Lima, P.M., Morgado, M.L.

“…This paper studies a generalization of the Cahn–Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate…”
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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 by Kulikov, G.Yu, Kulikova, M.V.

“… with negligible error. The latter allows the total error of the unscented Kalman filtering technique to be reduced significantly and gives rise to the novel accurate continuous-discrete unscented Kalman filtering algorithm…”
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Nested Implicit Runge–Kutta Pairs of Gauss and Lobatto Types with Local and Global Error Controls for Stiff Ordinary Differential Equations by Kulikov, G. Yu

“…The problem of efficient global error estimation and control is studied in embedded nested implicit Runge…”
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Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems by Kulikov, G. Yu

“…A technique for constructing nested implicit Runge–Kutta methods in the class of mono-implicit formulas of this type is studied…”
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On global error control in nested implicit Runge-Kutta methods of the gauss type by Kulikov, G. Yu, Kuznetsov, E. B., Khrustaleva, E. Yu

“…Automatic global error control based on a combined control of step size and order presented by Kulikov and Khrustaleva in 2008 is investigated…”
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NIRK-based accurate continuous–discrete extended Kalman filters for estimating continuous-time stochastic target tracking models by Kulikova, M.V., Kulikov, G.Yu

“…This paper presents three state estimators grounded in the variable-stepsize Gauss- and Lobatto-type Nested Implicit Runge–Kutta (NIRK) formulas of orders…”
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Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering by Kulikov, G.Yu, Kulikova, M.V.

“… These methods are grounded in the nested implicit Runge–Kutta formulas of orders 4 and 6. The implemented automatic local and global error control mechanisms raise…”
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On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models by Kulikova, Maria V., Kulikov, Gennady Yu

“… Our method is grounded in the Gauss-type nested implicit Runge-Kutta formula of order 6 applied for solving moment differential equations (MDEs…”
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Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering by Kulikov, Gennady Yu, Kulikova, Maria V.

“… These methods are grounded in the Gauss-type nested implicit Runge-Kutta formulas of orders 4 and 6, which are applied for treating moment differential equations (MDEs…”
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