Multivalue collocation methods free from order reduction
From MaRDI portal
Publication:2223820
DOI10.1016/j.cam.2019.112515zbMath1458.65073OpenAlexW2975308123WikidataQ127214973 ScholiaQ127214973MaRDI QIDQ2223820
Beatrice Paternoster, Raffaele D'Ambrosio
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112515
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for stiff equations (65L04)
Related Items
Variable stepsize multivalue collocation methods ⋮ Multivalue mixed collocation methods ⋮ A novel class of collocation methods based on the weighted integral form of ODEs ⋮ Multivalue second derivative collocation methods
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-step modified collocation methods with structured coefficient matrices
- Long-term stability of multi-value methods for ordinary differential equations
- Construction and implementation of highly stable two-step continuous methods for stiff differential systems
- General linear methods for \(y^{\prime\prime} = f(y(t))\)
- Two-step almost collocation methods for ordinary differential equations
- Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods
- The stability function for multistep collocation methods
- Continuous two-step Runge-Kutta methods for ordinary differential equations
- Effective solution of discontinuous IVPs using a Runge-Kutta formula pair with interpolants
- Perturbed collocation and Runge-Kutta methods
- Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts
- Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems
- On the numerical and computational aspects of non-smoothnesses that occur in railway vehicle dynamics
- Stiffness 1952--2012: sixty years in search of a definition
- Exponentially fitted IMEX methods for advection-diffusion problems
- G-symplecticity implies conjugate-symplecticity of the underlying one-step method
- Generalized homotopy method for solving nonlinear differential equations
- Highly Continuous Interpolants for One-Step ODE Solvers and their Application to Runge--Kutta Methods
- Superconvergence for Multistep Collocation
- Non-linear stability of a general class of differential equation methods
- Highly continuous Runge-Kutta interpolants
- Superconvergent Interpolants for the Collocation Solution of Boundary Value Ordinary Differential Equations
- Interpolants for Runge-Kutta formulas
- Review Paper: Efficient numerical methods for the solution of stiff initial-value problems and differential algebraic equations
- A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
- Geometric Numerical Integration
- Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
- Autogenerating microsecond solvers for nonlinear MPC: A tutorial using ACADO integrators
- Numerical Methods for Ordinary Differential Equations
