Results 91 to 100 of about 81,957 (247)

Generalized disks of contractivity for explicit and implicit Runge-Kutta methods [PDF]

The A-contractivity of Runge-Kutta methods with respect to an inner product norm was investigated thoroughly by Butcher and Burrage (who used the term B-stability).
Dahlquist, G., Jeltsch, R.
core   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives

Algorithms
The paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters.
Gerasim V. Krivovichev
doaj   +1 more source

Effect of Variations in the Ring Thickness on the Dynamic Performance of the Bimetal Gears

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study used a six‐degrees‐of‐freedom dynamic model to analyze the dynamic response of bimetal spur gears. Aluminum alloy forms the core of the bimetal gears, and a uniform‐thickness steel ring surrounds the teeth. Gear mesh stiffness of bimetal gears and the transmission error have been assessed using a numerical approach based on finite ...
Bikramjit Singh, Pawan Kumar, S. P. Harsha   +2 more
wiley   +1 more source

Stability Analysis of Runge-Kutta Methods for Nonlinear Functional Differential and Functional Equations

Journal of Applied Mathematics, 2014
This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations.
Yuexin Yu, Zhongyan Liu, Liping Wen
doaj   +1 more source

Characterization of Fuel Rods Supported by Dimple‐Less Spacer Grids and Subjected to Nonlinear Vibrations

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT An experimental campaign was undertaken to demonstrate the applicability of the Bouc–Wen hysteretic model to describe the hysteretic system of the recent Framatome dimple‐less spacer grid design for Pressurized Water Reactors. The experimental setup subjected a reduced‐length fuel rod, supported at both ends by dimple‐less grids, to forced ...
Giovanni Ferrari, Brian Painter, Kostas Karazis, Marco Amabili   +3 more
wiley   +1 more source

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley   +1 more source

Galerkin/Runge-Kutta discretizations for semilinear parabolic equations [PDF]

A new class of fully discrete Galerkin/Runge-Kutta methods is constructed and analyzed for semilinear parabolic initial boundary value problems. Unlike any classical counterpart, this class offers arbitrarily high, optimal order convergence.
Keeling, Stephen L.
core   +1 more source

Systematic Parameter Selection for Short Fiber Polymer Composite Direct Fiber Simulation

Polymer Composites, EarlyView.
Interactions of individually simulated fibers are systematically calibrated such that their orientation history agrees with the results from analytical orientation models. ABSTRACT The orientation of fibers in short discontinuous fiber reinforced polymer composites is a critical factor in determining final mechanical and thermal properties.
Jason B. Pierce, Douglas E. Smith
wiley   +1 more source

Solving Linear Boundary Value Problem Using Shooting Continuous Explicit Runge-Kutta Method

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
  In this paper we shall generalize fifth explicit Runge-Kutta Feldberg(ERKF(5)) and Continuous explicit Runge-Kutta (CERK) method using shooting method to solve second order boundary value problem  which can be reduced to order one.These methods we ...
Madeha Sh. Yousif, Bushra E. Kashiem
doaj