Results 51 to 60 of about 12,854 (309)

Exponential integrators for the stochastic Manakov equation

CoRR, 2020
This article presents and analyses an exponential integrator for the stochastic Manakov equation, a system arising in the study of pulse propagation in randomly birefringent optical fibers. We first prove that the strong order of the numerical approximation is $1/2$ if the nonlinear term in the system is globally Lipschitz-continuous. Then, we use this
Berg, André, Cohen, David, Dujardin, Guillaume   +2 more
openaire   +2 more sources

On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]

, 2007
This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core  

Triviality of the 2D stochastic Allen-Cahn equation [PDF]

, 2012
We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber, Martin Hairer, Hairer, Martin, Marc D. Ryser, M. Hairer, Hendrik Weber, Weber, Hendrik, M. D. Ryser, Ryser, Marc D.   +8 more
core   +1 more source

Understanding the Stochastic Nature of Process Parameter Development of Blown Powder Laser Beam Directed Energy Deposition Additive Manufacturing of Pure Molybdenum

Advanced Engineering Materials, EarlyView.
Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies, Daniel E. Driemeyer, Aaron P. Stebner   +2 more
wiley   +1 more source

Stochastic dynamic equations on general time scales

Electronic Journal of Differential Equations, 2013
In this article, we construct stochastic integral and stochastic differential equations on general time scales. We call these equations stochastic dynamic equations.
Martin Bohner, Olexandr M. Stanzhytskyi, Anastasiia O. Bratochkina   +2 more
doaj  

Numerical Solution of Nonlinear Backward Stochastic Volterra Integral Equations

Axioms, 2023
This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operational
Mahvish Samar, Edwin Yao Kutorzi, Xinzhong Zhu   +2 more
doaj   +1 more source

Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization

Advanced Engineering Materials, EarlyView.
Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier, Moritz Blum, Luana Caron, Alisa Chirkova, Philipp Cimiano, Basil Ell, Inga Ennen, Michael Feige, Maik Gaerner, Thomas Hilbig, Andreas Hütten, Günter Reiss, Tapas Samanta, Sonja Schöning, Christian Schröder, Lennart Schwan, Chris Taake, Martin Wortmann   +17 more
wiley   +1 more source

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

پژوهش‌های ریاضی, 2018
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations.
Farshid Mirzaee, Nasrin Samadyar;
doaj  

Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations

Discrete Dynamics in Nature and Society
This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition.
Guo Jiang, Dan Chen, Fugang Liu
doaj   +1 more source

Interconnection between Wick multiplication and integration on spaces of nonregular generalized functions in the Lévy white noise analysis

Karpatsʹkì Matematičnì Publìkacìï, 2019
We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property.
N.A. Kachanovsky, T.O. Kachanovska
doaj   +1 more source