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Stochastic (Partial) Differential Equations

Boundary value problems for stochastic differential equations

Boundary value problems for stochastic differential equations

... BOUNDARY VALUE PROBLEHS FOR STOCHASTIC DIFFERENTIAL EQUATIONS Thesis by Thomas 1 Tilliam HacDm rell In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institu[.] ...

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Accelerated Genetic Algorithm Solutions Of Some Parametric Families Of Stochastic Differential Equations

Accelerated Genetic Algorithm Solutions Of Some Parametric Families Of Stochastic Differential Equations

... solving Stochastic Differential Equations (SDEs) deriving by Wiener process numerically will be construct and implement using Accelerated Genetic Algorithm ...a differential equation in which ...

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Computational method based on triangular operational matrices for solving nonlinear stochastic differential equations

Computational method based on triangular operational matrices for solving nonlinear stochastic differential equations

... causes differential equations, integro-differential or partial differential equations involving stochastic excitations of a Gaussian white ...by stochastic ...

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Multidimensional stochastic differential equations with distributional drift

Multidimensional stochastic differential equations with distributional drift

... of stochastic differential equations with generalized coefficients, it is difficult to quote them all: in particular, we refer to the case when b is a measure, [4, 7, 18, ...solving stochastic ...

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Discontinuous Quantum Stochastic Differential Equations and The Associated Kurzweil Equations

Discontinuous Quantum Stochastic Differential Equations and The Associated Kurzweil Equations

... Quantum stochastic differential equations (QSDEs) of systems that exhibit discontinuity are introduced with the Kurzweil equations associated with this class of ...Kurzweil equations ...

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Stochastic differential equations and integrating factor

Stochastic differential equations and integrating factor

... a stochastic term to the de- terministic differential ...called stochastic differential equations (SDEs), and the term stochastic called noise ...a differential equation ...

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Symmetrized solutions for nonlinear stochastic differential equations

Symmetrized solutions for nonlinear stochastic differential equations

... Solutions of nonlinear stochastic differential equations in series form.. can be put into convenient symmetrized forms which are easily calculable..[r] ...

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Backward stochastic differential equations with Young drift

Backward stochastic differential equations with Young drift

... Stochastic differential equations (SDEs) driven by Brownian motion W and an addi- tional deterministic path η of low regularity (so called “mixed SDEs”) have been ...

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Path Integral Methods for Stochastic Differential Equations

Path Integral Methods for Stochastic Differential Equations

... neuroscience, stochastic differential equations (SDE) have been uti- lized to model stochastic phenomena that range in scale from molecular transport in neurons, to neuronal firing, to ...

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Stability of stochastic differential equations in infinite dimensions

Stability of stochastic differential equations in infinite dimensions

... to stochastic differential equations with Markovian ...of stochastic differential equations has always lain at the center of our understanding concerning stochastic models ...

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Stochastic Differential Equations: Models and Numerics - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Stochastic Differential Equations: Models and Numerics - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... Deterministic differential equations cannot model such transitions between equilibrium states, since a deterministic solution never escapes from a stable ...how stochastic differential ...

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On stochastic differential equations and a generalised Burgers equation

On stochastic differential equations and a generalised Burgers equation

... o’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers ...a stochastic differential ...

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On the Effects of Different Interpretations of Stochastic Differential Equations

On the Effects of Different Interpretations of Stochastic Differential Equations

... DOI: 10.4236/am.2019.1011063 877 Applied Mathematics tremely irregular random force, the so-called white noise, a Gaussian process because of the central limit theorem. In this way, the displacement X ( t ) of the ...

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Improved bridge constructs for stochastic differential equations

Improved bridge constructs for stochastic differential equations

... Itô stochastic differential equation conditional on an observation taken at a fixed future ...residual stochastic process, we develop a class of novel constructs that bridge the resid- ual process ...

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Measure of noncompactness and application to stochastic differential equations

Measure of noncompactness and application to stochastic differential equations

... of stochastic differential equations and stochastic partial differential equations, modeling the trajectories of random phenomena, studied and developed for the first time by Itô in ...A ...

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An improved Milstein method for stiff stochastic differential equations

An improved Milstein method for stiff stochastic differential equations

... algebraic equations at each time ...of stochastic partial differen- tial ...algebra equations encountered with implicit methods as mentioned ...

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Online Nonparametric Estimation of Stochastic Differential Equations

Online Nonparametric Estimation of Stochastic Differential Equations

... Stochastic di ff erential equations (SDEs) are an essential tool to describe the randomness of a dynamic system. For example, physicists use this tool to model the time evolution of particles due to thermal ...

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Strong approximation for Itô stochastic differential equations

Strong approximation for Itô stochastic differential equations

... methods can be obtained by truncating farther terms of the stochastic Taylor expansion. This technique involves considerable complexities in implementa- tion because of the approximation of higher order ...

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Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions

Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions

... on. Stochastic differential equations are used to build more realistic models in economics, so- cial sciences, chemistry, finance, physics and other ...by stochastic differential ...to stochastic ...

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On neutral impulsive stochastic differential equations with Poisson jumps

On neutral impulsive stochastic differential equations with Poisson jumps

... 11. Hale, J., Verduyn Lunel, S.M.: Introduction to Functional Differential Equations. Springer, New York (1993) 12. Ikeda, N., Watanabe, S.: Stochastic Differential Equations and Diffusion Processes. ...

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