A novel class of Runge-Kutta-Nyström pairs sharing orders 8(6)
We are examining a second-order system of non-stiff Initial Value Problems (IVP), focusing on a scenario where the first derivatives are not present. In the realm of solving IVPs, Runge-Kutta-Nyström (RKN) pairs have proven to be highly effective. In order to achieve a pair with eighth and sixth ord...
| Published in: | AIMS Mathematics |
|---|---|
| Main Authors: | Yu He, Jianing Yang, Theodore E. Simos, Charalampos Tsitouras |
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-01-01
|
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024237?viewType=HTML |
Similar Items
Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
by: Vladislav N. Kovalnogov, et al.
Published: (2023-02-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2023-02-01)
Nine-Stage Runge–Kutta–Nyström Pairs Sharing Orders Eight and Six
by: Hadeel Alharbi, et al.
Published: (2024-01-01)
by: Hadeel Alharbi, et al.
Published: (2024-01-01)
On a New Family of Runge–Kutta–Nyström Pairs of Orders 6(4)
by: Vladislav N. Kovalnogov, et al.
Published: (2022-03-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2022-03-01)
General Runge–Kutta–Nyström Methods for Linear Inhomogeneous Second-Order Initial Value Problems
by: Nadiyah Hussain Alharthi, et al.
Published: (2025-09-01)
by: Nadiyah Hussain Alharthi, et al.
Published: (2025-09-01)
Runge-Kutta-Nyström Pairs of Orders 8(6) with Coefficients Trained to Perform Best on Classical Orbits
by: Houssem Jerbi, et al.
Published: (2022-02-01)
by: Houssem Jerbi, et al.
Published: (2022-02-01)
Numerical Solution for Hybrid Fuzzy Differential Equation by Fifth Order Runge-Kutta Nystrom Method
by: Jayakumar Thippan, et al.
Published: (2019-04-01)
by: Jayakumar Thippan, et al.
Published: (2019-04-01)
Development of an Efficient Diagonally Implicit Runge–Kutta–Nyström 5(4) Pair for Special Second Order IVPs
by: Musa Ahmed Demba, et al.
Published: (2022-10-01)
by: Musa Ahmed Demba, et al.
Published: (2022-10-01)
Embedded Exponentially-Fitted Explicit Runge-Kutta-Nyström Methods for Solving Periodic Problems
by: Musa Ahmed Demba, et al.
Published: (2020-04-01)
by: Musa Ahmed Demba, et al.
Published: (2020-04-01)
On High-Order Runge–Kutta Pairs for Linear Inhomogeneous Problems
by: Houssem Jerbi, et al.
Published: (2025-03-01)
by: Houssem Jerbi, et al.
Published: (2025-03-01)
Runge–Kutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits
by: Yu-Cheng Shen, et al.
Published: (2021-06-01)
by: Yu-Cheng Shen, et al.
Published: (2021-06-01)
Functional continuous Runge–Kutta–Nyström methods
by: Alexey Eremin
Published: (2016-08-01)
by: Alexey Eremin
Published: (2016-08-01)
Runge–Kutta Embedded Methods of Orders 8(7) for Use in Quadruple Precision Computations
by: Vladislav N. Kovalnogov, et al.
Published: (2022-09-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2022-09-01)
Evolutionary Derivation of Runge–Kutta Pairs of Orders 5(4) Specially Tuned for Problems with Periodic Solutions
by: Vladislav N. Kovalnogov, et al.
Published: (2021-09-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2021-09-01)
On Reusing the Stages of a Rejected Runge-Kutta Step
by: Vladislav N. Kovalnogov, et al.
Published: (2023-06-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2023-06-01)
Explicit Symplectic Runge–Kutta–Nyström Methods Based on Roots of Shifted Legendre Polynomial
by: Jun Zhang, et al.
Published: (2023-10-01)
by: Jun Zhang, et al.
Published: (2023-10-01)
Runge–Kutta Pairs of Orders 5(4) Trained to Best Address Keplerian Type Orbits
by: Vladislav N. Kovalnogov, et al.
Published: (2021-09-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2021-09-01)
A Neural Network Type Approach for Constructing Runge–Kutta Pairs of Orders Six and Five That Perform Best on Problems with Oscillatory Solutions
by: Houssem Jerbi, et al.
Published: (2022-03-01)
by: Houssem Jerbi, et al.
Published: (2022-03-01)
A Neural Network Technique for the Derivation of Runge–Kutta Pairs Adjusted for Scalar Autonomous Problems
by: Vladislav N. Kovalnogov, et al.
Published: (2021-08-01)
by: Vladislav N. Kovalnogov, et al.
Published: (2021-08-01)
Continuous-Stage Runge–Kutta Approximation to Differential Problems
by: Pierluigi Amodio, et al.
Published: (2022-04-01)
by: Pierluigi Amodio, et al.
Published: (2022-04-01)
A Study on Third Order Runge-Kutta Techniques for Solving Practical Problems
by: Sukumar SENTHILKUMAR
Published: (2013-12-01)
by: Sukumar SENTHILKUMAR
Published: (2013-12-01)
Modification of Fourth order Runge-Kutta Method for Kutta Form With Geometric Means
by: Irma Suryani, et al.
Published: (2020-04-01)
by: Irma Suryani, et al.
Published: (2020-04-01)
A novel high-order symmetric and energy-preserving continuous-stage Runge-Kutta-Nyström Fourier pseudo-spectral scheme for solving the two-dimensional nonlinear wave equation
by: Dongjie Gao, et al.
Published: (2025-03-01)
by: Dongjie Gao, et al.
Published: (2025-03-01)
Modifying Runge – Kutta methods with higher order derivative approximations
by: Bashir Khlaf, et al.
Published: (1970-01-01)
by: Bashir Khlaf, et al.
Published: (1970-01-01)
ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION
by: Hippolyte Séka, et al.
Published: (2019-12-01)
by: Hippolyte Séka, et al.
Published: (2019-12-01)
Goeken-Johnson Sixth-Order Runge-Kutta Method
by: Mohammed M. Ismail
Published: (2011-03-01)
by: Mohammed M. Ismail
Published: (2011-03-01)
Runge-Kutta Methods of Higher Order for Solving Stiff Problems
by: Mohammed Salih, et al.
Published: (2008-12-01)
by: Mohammed Salih, et al.
Published: (2008-12-01)
Fifth-order Runge-Kutta with higher order derivative approximations
by: David Goeken, et al.
Published: (1999-12-01)
by: David Goeken, et al.
Published: (1999-12-01)
Refining Euler and fourth-order Runge-Kutta methods using curvature-based adaptivity
by: Anes MOULAI-KHATIR
Published: (2025-07-01)
by: Anes MOULAI-KHATIR
Published: (2025-07-01)
Impulsive Discrete Runge–Kutta Methods and Impulsive Continuous Runge–Kutta Methods for Nonlinear Differential Equations with Delayed Impulses
by: Gui-Lai Zhang, et al.
Published: (2024-09-01)
by: Gui-Lai Zhang, et al.
Published: (2024-09-01)
Numerical methods for solving second-order initial value problems of ordinary differential equations with Euler and Runge-Kutta fourth-order methods
by: Yenesew Workineh, et al.
Published: (2024-02-01)
by: Yenesew Workineh, et al.
Published: (2024-02-01)
ANALYSIS OF THE SPRUCE BUDWORM MODEL USING THE HEUN METHOD AND THIRD-ORDER RUNGE-KUTTA
by: Irwan Irwan, et al.
Published: (2022-09-01)
by: Irwan Irwan, et al.
Published: (2022-09-01)
Stochastic Bayesian Runge-Kutta method for dengue dynamic mapping
by: Mukhsar, et al.
Published: (2023-01-01)
by: Mukhsar, et al.
Published: (2023-01-01)
Positivity of an explicit Runge–Kutta method
by: M. Mehdizadeh Khalsaraei
Published: (2015-12-01)
by: M. Mehdizadeh Khalsaraei
Published: (2015-12-01)
Diagonally Implicit Runge–Kutta Type Method for Directly Solving Special Fourth-Order Ordinary Differential Equations with Ill-Posed Problem of a Beam on Elastic Foundation
by: Nizam Ghawadri, et al.
Published: (2018-12-01)
by: Nizam Ghawadri, et al.
Published: (2018-12-01)
Construction of Two-Derivative Runge–Kutta Methods of Order Six
by: Zacharoula Kalogiratou, et al.
Published: (2023-12-01)
by: Zacharoula Kalogiratou, et al.
Published: (2023-12-01)
A New Two Derivative FSAL Runge-Kutta Method of Order Five in Four Stages
by: Hussain et al.
Published: (2020-03-01)
by: Hussain et al.
Published: (2020-03-01)
Research on Error Propagation Law of Flood Routingby Fourth-order Runge - Kutta Method
by: ZHOU Bin
Published: (2020-01-01)
by: ZHOU Bin
Published: (2020-01-01)
Predictor Corrector Parallel Based on the Geometric Mean Runge-Kutta Formula for Solving Initial Value Problems
by: Mahmood D. Jasim
Published: (2020-12-01)
by: Mahmood D. Jasim
Published: (2020-12-01)
Improved Runge-Kutta Method for Oscillatory Problem Solution Using Trigonometric Fitting Approach
by: Kasim A. Hussain, et al.
Published: (2023-01-01)
by: Kasim A. Hussain, et al.
Published: (2023-01-01)
Model order reduction based on Runge–Kutta neural networks
by: Qinyu Zhuang, et al.
Published: (2021-01-01)
by: Qinyu Zhuang, et al.
Published: (2021-01-01)
Similar Items
-
Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
by: Vladislav N. Kovalnogov, et al.
Published: (2023-02-01) -
Nine-Stage Runge–Kutta–Nyström Pairs Sharing Orders Eight and Six
by: Hadeel Alharbi, et al.
Published: (2024-01-01) -
On a New Family of Runge–Kutta–Nyström Pairs of Orders 6(4)
by: Vladislav N. Kovalnogov, et al.
Published: (2022-03-01) -
General Runge–Kutta–Nyström Methods for Linear Inhomogeneous Second-Order Initial Value Problems
by: Nadiyah Hussain Alharthi, et al.
Published: (2025-09-01) -
Runge-Kutta-Nyström Pairs of Orders 8(6) with Coefficients Trained to Perform Best on Classical Orbits
by: Houssem Jerbi, et al.
Published: (2022-02-01)
