Results 21 to 30 of about 880,492 (299)

Error estimates of finite element methods for nonlinear fractional stochastic differential equations

Advances in Difference Equations, 2018
In this paper, we consider the Galerkin finite element approximations of the initial value problem for the nonlinear fractional stochastic partial differential equations with multiplicative noise.
Yanpeng Zhang, Xiaoyuan Yang, Xiaocui Li
doaj   +1 more source

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

Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]

, 2006
The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A.,, Laila, Dina Shona, Astolfi, A., Astolfi, Alessandro, Laila, Dina Shona,   +4 more
core   +1 more source

On Approximation by Discrete Semigroups

Journal of Approximation Theory, 1993
The author considers the following main mathematical objects: A sequence \((X_ n)\) of Banach spaces approximating in some sense the Banach space \(X\); a sequence of bounded linear operators \((F_ n)\), \(F_ n: X_ n\to X_ n\); a sequence of positive reals \((\rho_ n)\), \(\rho_ n\to 0\) and the sequences \((F_ n^ k)_ k\) of discrete parameter ...
openaire   +1 more source

Approximation Properties for Discrete Groups [PDF]

, 2006
We provide an illustration of an interesting and nontrivial interaction between analytic and geometric properties of a group. We provide a short survey of approximation properties of operator algebras associated with discrete groups. We then demonstrate directly that groups that satisfy the property RD with respect to a conditionally negative length ...
Brodzki, Jacek, Niblo, Graham A.
openaire   +1 more source

Discrete-time approximations of fliess operators [PDF]

2016 American Control Conference (ACC), 2016
A convenient way to represent a nonlinear input-output system in control theory is via a Chen-Fliess functional expansion or Fliess operator. The general goal of this paper is to describe how to approximate Fliess operators with iterated sums and to provide accurate error estimates for two different scenarios, one where the series coefficients are ...
W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard   +2 more
openaire   +2 more sources

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]

, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke, Kloeden, Peter E., Mao, Xuerong   +2 more
core   +4 more sources

Analysis of Mild Extremal Solutions in Nonlinear Caputo-Type Fractional Delay Difference Equations

Mathematics
This study investigates extremal solutions for fractional-order delayed difference equations, utilizing the Caputo nabla operator to establish mild lower and upper approximations via discrete fractional calculus. A new approach is employed to demonstrate
Ravi P. Agarwal, Ekaterina Madamlieva
doaj   +1 more source

Fast and accurate multivariate Gaussian modeling of protein families: predicting residue contacts and protein-interaction partners. [PDF]

PLoS ONE, 2014
In the course of evolution, proteins show a remarkable conservation of their three-dimensional structure and their biological function, leading to strong evolutionary constraints on the sequence variability between homologous proteins. Our method aims at
Carlo Baldassi, Marco Zamparo, Christoph Feinauer, Andrea Procaccini, Riccardo Zecchina, Martin Weigt, Andrea Pagnani   +6 more
doaj   +1 more source

Accuracy of Approximation for Discrete Distributions [PDF]

Journal of Probability and Statistics, 2016
The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval [0,1]. Deviation can be measured by the difference of the kth terms or by total variation distance.
openaire   +3 more sources