Results 21 to 30 of about 834,576 (285)

Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]

, 2010
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
A. Rodkina, A. Rodkina, A.N. Shiryaev, C.T.H. Baker, C.T.H. Baker, D.J. Higham, D.J. Higham, E. Hairer, Fuke Wu, K. Burrage, K. Burrage, Lukas Szpruch, P.E. Kloeden, R.Sh. Liptser, S. Pang, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, X. Mao, Xuerong Mao, Y. Saito, Y. Saito   +28 more
core   +1 more source

The Optimal L²-Norm Error Estimate of a Weak Galerkin Finite Element Method for a Multi-Dimensional Evolution Equation with a Weakly Singular Kernel

Fractal and Fractional
This paper proposes a weak Galerkin (WG) finite element method for solving a multi-dimensional evolution equation with a weakly singular kernel. The temporal discretization employs the backward Euler scheme, while the fractional integral term is ...
Haopan Zhou, Jun Zhou, Hongbin Chen
doaj   +1 more source

Convergence and stability in numerical relativity [PDF]

Physical Review D, 2002
It is often the case in numerical relativity that schemes that are known to be convergent for well posed systems are used in evolutions of weakly hyperbolic (WH) formulations of Einstein's equations. Here we explicitly show that with several of the discretizations that have been used through out the years, this procedure leads to non-convergent schemes.
Calabrese, Gioel, Pullin, Jorge, Sarbach, Olivier, Tiglio, Manuel   +3 more
openaire   +3 more sources

On Numerical Simulations of Variable-Order Fractional Cable Equation Arising in Neuronal Dynamics

Fractal and Fractional
In recent years, various complex systems and real-world phenomena have been shown to include memory and hereditary properties that change with respect to time, space, or other variables.
Fouad Mohammad Salama
doaj   +1 more source

Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups

, 2015
We investigate convergence properties of discrete-time semigroup quantum dynamics, including asymptotic stability, probability and speed of convergence to pure states and subspaces.
Cirillo, Giuseppe Ilario, Ticozzi, Francesco   +1 more
core   +1 more source

Damped Traub’s method: Convergence and stability

Mathematics and Computers in Simulation, 2016
[EN] In this paper, a parametric family including Newton's and Traub's iterative schemes is presented. Its local convergence and dynamical behavior on quadratic polynomials are studied. The analysis of fixed and critical points and the associated parameter plane show the dynamical richness of the family and allow us to find members of it with good ...
Alicia Cordero, Alfredo Ferrero, Juan R. Torregrosa   +2 more
openaire   +3 more sources

The split step theta balanced numerical approximations of stochastic time varying Hopfield neural networks with distributed delays

Results in Control and Optimization, 2023
In this paper, split step theta balanced Euler approximations for stochastic time-varying delay Hopfield neural networks (HNN) with distributed delays are examined for their exponential stability and strong convergence.
Pichamuthu Mayavel, Anandaraman Rathinasamy   +1 more
doaj   +1 more source

Lyapunov Stability Analysis for Invariant States of Quantum Systems

, 2018
In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use weak ...
Emzir, Muhammad F., Petersen, Ian R., Woolley, Matthew J.   +2 more
core   +1 more source

Application of an Extended Cubic B-Spline to Find the Numerical Solution of the Generalized Nonlinear Time-Fractional Klein–Gordon Equation in Mathematical Physics

Computation
A B-spline function is a series of flexible elements that are managed by a set of control points to produce smooth curves. By using a variety of points, these functions make it possible to build and maintain complicated shapes.
Miguel Vivas-Cortez, M. J. Huntul, Maria Khalid, Madiha Shafiq, Muhammad Abbas, Muhammad Kashif Iqbal   +5 more
doaj   +1 more source

An α-Robust Galerkin Spectral Method for the Nonlinear Distributed-Order Time-Fractional Diffusion Equations with Initial Singularity

Fractal and Fractional
In this paper, we numerically solve the nonlinear time-fractional diffusion equation of distributed order on an unbounded domain with a weak singularity.
Haiyu Liu, Shujuan Lü
doaj   +1 more source