Results 31 to 40 of about 3,215,759 (167)

Explicit Runge–Kutta–Nyström-Type Schemes for Fourth-Order Systems y⁽⁴⁾=f (x, y, y^′)

Axioms
This work addresses the numerical solution of fourth-order initial value problems of the form y(4)=f(x,y,y′), extending the capabilities of standard Runge–Kutta–Nyström (RKN) methods which are typically limited to y(4)=f(x,y). Problems of this type arise
Rubayyi T. Alqahtani, Theodore E. Simos, Charalampos Tsitouras   +2 more
doaj   +1 more source

An Efficiently Parallelized High-Order Aeroacoustics Solver Using a Characteristic-Based Multi-Block Interface Treatment and Optimized Compact Finite Differencing

Aerospace, 2017
This paper presents the development of a fourth-order finite difference computational aeroacoustics solver. The solver works with a structured multi-block grid domain strategy, and it has been parallelized efficiently by using an interface treatment ...
Bidur Khanal, Alistair Saddington, Kevin Knowles   +2 more
doaj   +1 more source

Explicit Runge–Kutta–Nyström-Type Schemes for Third-Order Systems y‴ = f(x, y, y′)

Axioms
Initial value problems of the third order featuring explicit dependence on velocity, denoted as y‴=f(x,y,y′), emerge regularly across applications such as electromechanical networks, structural mechanics, and robotic trajectory control.
Rubayyi T. Alqahtani, Theodore E. Simos, Charalampos Tsitouras   +2 more
doaj   +1 more source

On High-Order Runge–Kutta Pairs for Linear Inhomogeneous Problems

Axioms
This paper introduces a novel Runge–Kutta (RK) pair of orders 8(6) designed specifically for solving linear inhomogeneous initial value problems (IVPs) with constant coefficients.
Houssem Jerbi, Sanaa Maali, Sondess Ben Aoun, Arwa N. Aledaily, Vijipriya Jeyamani, Theodore E. Simos, Charalampos Tsitouras   +6 more
doaj   +1 more source

On a second-order step-size algorithm [PDF]

Yugoslav Journal of Operations Research, 2002
In this paper we present a modification of the second-order step-size algorithm. This modification is based on the so called 'forcing functions'. It is proved that this modified algorithm is well-defined.
Đuranović-Miličić Nada I.
doaj   +1 more source

Fractional-Order Variational Calculus with Generalized Boundary Conditions

Advances in Difference Equations, 2011
This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian ...
Baleanu Dumitru, Herzallah MohamedAE
doaj   +2 more sources

Derivation of Three-Derivative Two-Step Runge–Kutta Methods

Mathematics
In this paper, we develop explicit three-derivative two-step Runge–Kutta (ThDTSRK) schemes, and propose a simpler general form of the order accuracy conditions (p≤7) by Albrecht’s approach, compared to the order conditions in terms of rooted trees.
Xueyu Qin, Jian Yu, Chao Yan
doaj   +1 more source

Sufficient conditions for regular solvability of an arbitrary order operator-differential equation with initial-boundary conditions

Advances in Difference Equations, 2020
On this paper, for an arbitrary order operator-differential equation with the weight e − α t 2 , α ∈ ( − ∞ , + ∞ ) $e^{\frac{-\alpha t}{2}}, \alpha \in (-\infty ,+ \infty )$ , in the space W 2 n + m ( R + ; H ) $W^{n+m}_{2}(R_{+};H)$ , we attain ...
Nashat Faried, Abdel Baset I. Ahmed, Mohamed A. Labeeb   +2 more
doaj   +1 more source

On first-order conditional logics

Artificial Intelligence, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Strong Stability Preserving Two-Derivative Two-Step Runge-Kutta Methods

Mathematics
In this study, we introduce the explicit strong stability preserving (SSP) two-derivative two-step Runge-Kutta (TDTSRK) methods. We propose the order conditions using Albrecht’s approach, comparing to the order conditions expressed in terms of rooted ...
Xueyu Qin, Zhenhua Jiang, Chao Yan
doaj   +1 more source