Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations
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Publication:2174970
DOI10.1016/j.apnum.2020.04.003zbMath1437.65062OpenAlexW3015251131MaRDI QIDQ2174970
Rüdiger Weiner, G. Yu. Kulikov
Publication date: 27 April 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.04.003
Error bounds for numerical methods for ordinary differential equations (65L70) Algorithms with automatic result verification (65G20) Numerical methods for stiff equations (65L04)
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Cites Work
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- Accurate cubature and extended Kalman filtering methods for estimating continuous-time nonlinear stochastic systems with discrete measurements
- Variable-stepsize doubly quasi-consistent parallel explicit peer methods with global error control
- 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
- 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
- On quasi-consistent integration by Nordsieck methods
- 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.
- Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods
- Generalizing global error estimation for ordinary differential equations by using coupled time-stepping methods
- 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
- 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
- A class of implicit peer methods for stiff systems
- New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations
- Linearly-implicit two-step methods and their implementation in Nordsieck form
- Stochastic processes and filtering theory
- Jordan chains for lambda matrices. II
- Estimating the State in Stiff Continuous-Time Stochastic Systems within Extended Kalman Filtering
- Global Error Control in Adaptive Nordsieck Methods
- Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods
- Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter
- Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- Balthazar Van Der Pol
- Practical Runge–Kutta Processes
- On Global Error Estimation and Control for Initial Value Problems
- 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
- Global Error versus Tolerance for Explicit Runge-Kutta Methods
- Global Error Estimates for Ordinary Differential Equations
- A history of chemical oscillations and waves
- The Accurate Continuous-Discrete Extended Kalman Filter for Radar Tracking
- Matlab Guide
- Numerical Solution of Ordinary Differential Equations
- Global error estimation with adaptive explicit Runge-Kutta methods
- Cheap global error estimation in some Runge-Kutta pairs
- Hyperbolic‐singular‐value‐decomposition‐based square‐root accurate continuous‐discrete extended‐unscented Kalman filters for estimating continuous‐time stochastic models with discrete measurements
- A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations
- On Unscented Kalman Filtering for State Estimation of Continuous-Time Nonlinear Systems
- Numerical Methods for Ordinary Differential Equations
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