Suchergebnisse - 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 von 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studies a generalization of the Cahn–Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate …”
Volltext

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

Nested Implicit Runge–Kutta Pairs of Gauss and Lobatto Types with Local and Global Error Controls for Stiff Ordinary Differential Equations von Kulikov, G. Yu

“… The problem of efficient global error estimation and control is studied in embedded nested implicit Runge …”
Volltext

Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems von Kulikov, G. Yu

“… A technique for constructing nested implicit Runge–Kutta methods in the class of mono-implicit formulas of this type is studied …”
Volltext

On global error control in nested implicit Runge-Kutta methods of the gauss type von 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 …”
Volltext

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

Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering von 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 …”
Volltext

On computational robustness of accurate continuous-discrete unscented Kalman filtering for target tracking models von 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 …”
Volltext

Accurate continuous-discrete extended Kalman filtering for stiff continuous-time stochastic models in chemical engineering von 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 …”
Volltext