Results 21 to 30 of about 4,079 (268)
The Implementation of Milstein Scheme in Two-Dimensional SDEs Using the Fourier Method
Abstract and Applied Analysis, 2018 Multiple stochastic integrals of higher multiplicity cannot always be expressed in terms of simpler stochastic integrals, especially when the Wiener process is multidimensional. In this paper we describe how the Fourier series expansion of Wiener process
Yousef Alnafisah
doaj +1 more source
Stochastic Lie Group Integrators [PDF]
SIAM Journal on Scientific Computing, 2008 We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull ...
Simon J. A. Malham, Anke Wiese
openaire +2 more sources
Open Mathematics, 2019 This paper aims to present a new pathwise approximation method, which gives approximate solutions of order 32$\begin{array}{} \displaystyle \frac{3}{2} \end{array}$ for stochastic differential equations (SDEs) driven by multidimensional Brownian motions.
Alhojilan Yazid
doaj +1 more source
A note on Kurzweil-Henstock's anticipating non-stochastic integral [PDF]
Mathematica BohemicaMotivated by the study of anticipating stochastic integrals using Kurzweil-Henstock approach, we use anticipating interval-point pairs (with the tag as the right-end point of the interval) in studying non-stochastic integral, which we call the Kurzweil ...
Yu Xin Ng, Tin Lam Toh
doaj +1 more source
On a Stochastic Integral Equation [PDF]
Proceedings of the Japan Academy, 1946 Not ...
openaire +3 more sources
Optimal Portfolios for Different Anticipating Integrals under Insider Information
Mathematics, 2020 We consider the non-adapted version of a simple problem of portfolio optimization in a financial market that results from the presence of insider information. We analyze it via anticipating stochastic calculus and compare the results obtained by means of
Carlos Escudero, Sandra Ranilla-Cortina
doaj +1 more source
Stochastic integrals for spde’s: A comparison
Expositiones Mathematicae, 2011 We present the Walsh theory of stochastic integrals with respect to martingale measures, alongside of the Da Prato and Zabczyk theory of stochastic integrals with respect to Hilbert-space-valued Wiener processes and some other approaches to stochastic integration, and we explore the links between these theories. We then show how each theory can be used
Dalang, Robert C. +1 more
openaire +4 more sources
Mittag–Leffler Fractional Stochastic Integrals and Processes with Applications
MathematicsWe study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations.
Enrica Pirozzi
doaj +1 more source
Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations
Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017 Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper. Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov +2 more
doaj +1 more source
On the generalized riemann integral and stochastic integral [PDF]
Journal of the Australian Mathematical Society, 1976 In Lee (submitted), the GW-integral (the generalized Riemann integral using Wiener measure) is defined. The object of this article is to define stochastic integral in the set up given in Lee (submitted). We also investigate the connection between the stochastic integral defined with the Legesgue counter part, the Paley-Wiener-Zygmund integral in Paley,
openaire +2 more sources