Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations
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Publication:2207621
DOI10.1134/S0965542520070076zbMath1451.65082OpenAlexW3048000545MaRDI QIDQ2207621
Publication date: 23 October 2020
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542520070076
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
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Cites Work
- Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements
- Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems
- Error estimation and control for ODEs
- Global error estimation and control in linearly-implicit parallel two-step peer W-methods
- The tolerance proportionality of adaptive ODE solvers
- Implicit Runge-Kutta methods with explicit internal stages
- Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation
- One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control
- Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes
- Adaptive nested implicit Runge-Kutta formulas of Gauss type
- Thirteen ways to estimate global error
- Global error estimation and the backward differentiation formulas
- Numerical investigations on global error estimation for ordinary differential equations
- Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes
- New Runge-Kutta based schemes for ODEs with cheap global error estimation.
- High-order accurate continuous-discrete extended Kalman filter for chemical engineering
- How to avoid accuracy and order reduction in Runge-Kutta methods as applied to stiff problems
- Practical implementation of extended Kalman filtering in chemical systems with sparse measurements
- Global error estimation with Runge-Kutta triples
- Global error estimators for order 7, 8 Runge--Kutta pairs
- A parallel algorithm for the estimation of the global error in Runge--Kutta methods
- NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements
- Accurate state estimation of stiff continuous-time stochastic models in chemical and other engineering
- Analysis and numerical approximation of singular boundary value problems with the \(p\)-Laplacian in fluid mechanics
- Local and global error estimation and control within explicit two-step peer triples
- New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations
- Stochastic processes and filtering theory
- Introduction to stochastic control theory
- Estimating the State in Stiff Continuous-Time Stochastic Systems within Extended Kalman Filtering
- Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- Practical Runge–Kutta Processes
- On Global Error Estimation and Control for Initial Value Problems
- Automatic error control in the Gauss-type nested implicit Runge–Kutta formula of order 6
- Global Error Estimation with Runge--Kutta Methods
- Global Error Estimates for ODE<scp>s</scp> Based on Extrapolation Methods
- Analysis of Error Control Strategies for Continuous Runge–Kutta Methods
- Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
- Global Error versus Tolerance for Explicit Runge-Kutta Methods
- Global Error Estimates for Ordinary Differential Equations
- On a Class of Implicit Runge-Kutta Procedures
- A Class of Implicit Runge-Kutta Methods for the Numerical Integration of Stiff Ordinary Differential Equations
- A Note on the Computational Aspects of a Class of Implicit Runge-Kutta Procedures
- Generation of high-order interpolants for explicit Runge-Kutta pairs
- Highly continuous Runge-Kutta interpolants
- The Accurate Continuous-Discrete Extended Kalman Filter for Radar Tracking
- Numerical robustness of extended Kalman filtering based state estimation in ill‐conditioned continuous‐discrete nonlinear stochastic chemical systems
- Matlab Guide
- Interpolants for Runge-Kutta formulas
- Runge-Kutta triples
- Optimal Estimation of Dynamic Systems
- Numerical Solution of Ordinary Differential Equations
- Cheap global error estimation in some Runge-Kutta pairs
- A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations
- Asymptotic error estimate for general Newton-type methods and its application to differential equations
- Numerical Methods for Ordinary Differential Equations
- Continuous approximation with embedded Runge-Kutta methods
- Stochastic differential equations. An introduction with applications.
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