An adaptive optimized Nyström method for second‐order IVPs
DOI10.1002/mma.8983OpenAlexW4313421382MaRDI QIDQ6140744
Francesca Mazzia, M. A. Rufai, Higinio Ramos
Publication date: 2 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8983
collocation methodvariable stepsize formulationerror estimation and controlordinary and time-dependent partial differential equationsoptimized Nyström method
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotical computations for a model of flow in saturated porous media
- A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods
- BS2 methods for semi-linear second order boundary value problems
- An optimized two-step hybrid block method for solving general second order initial-value problems
- Parallel implementation of block boundary value methods for ODEs
- Stability of collocation-based Runge-Kutta-Nyström methods
- Symmetric boundary value methods for second order initial and boundary value problems
- A theory for Nyström methods
- Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
- A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems
- An adaptive pair of one-step hybrid block Nyström methods for singular initial-value problems of Lane-Emden-Fowler type
- Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods
- An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems
- Symmetric collocation ERKN methods for general second-order oscillators
- On a class of conjugate symplectic Hermite-Obreshkov one-step methods with continuous spline extension
- Third derivative modification of \(k\)-step block Falkner methods for the numerical solution of second order initial-value problems
- Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
- Second derivative methods with RK stability
- Families of Runge-Kutta-Nystrom Formulae
- A new family of 7 stages, eighth-order explicit Numerov-type methods
- A self-starting linear multistep method for a direct solution of the general second-order initial value problem
- Trigonometric fitted, eighth‐order explicit Numerov‐type methods
- A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications
- An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems
- B‐Spline Linear Multistep Methods and their Continuous Extensions
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: An adaptive optimized Nyström method for second‐order IVPs
