[PDF] Top 20 Discretizing a backward stochastic differential equation
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Discretizing a backward stochastic differential equation
... The purpose of this paper is to develop the idea appeared in [7] and to give a simpler numerical scheme to solve (1.1) completely. Our method also gives a numerical probability scheme to solve a semi-linear partial ... See full document
14
Fully coupled forward backward stochastic differential equations on Markov chains
... In the classic BSDE theory, we consider a Brownian motion as the driver, but a Brownian motion is a kind of very idealized stochastic model, which limits greatly the applications of the classic BSDEs. There are ... See full document
18
Backward stochastic differential equations with Markov chains and related asymptotic properties
... of backward stochastic differential equations whose generator f is affected by a finite-state Markov ...of backward stochastic differential equations involving a singularly perturbed Markov chain ... See full document
17
Non zero sum differential games of anticipated forward backward stochastic differential delayed equations under partial information and application
... the stochastic filtering formula, we derived the fil- tering equation and proved the existence and uniqueness of the filtering equation and the corresponding Nash equilibrium ... See full document
21
Multi valued backward stochastic differential equations with regime switching
... Multi valued backward stochastic differential equations with regime switching Deng and Ren Advances in Difference Equations (2019) 2019 523 https //doi org/10 1186/s13662 019 2421 9 R E S E A R C H Op[.] ... See full document
21
Singular Optimal Control Problem of Stochastic Switching Systems
... paper, backward stochastic differential equations have been used to establish singular maximum principle for stochastic optimal control problems of switching ...for stochastic singular ... See full document
5
Mean-field backward doubly stochastic differential equations and related SPDEs
... of stochastic partial differential equations by virtue of mean-field BDSDEs, which can be viewed as the stochastic Feynman-Kac formula for SPDEs of mean-field ... See full document
20
Backward stochastic partial differential equations driven by infinite dimensional martingales and applications
... a backward stochastic differential equation driven by an infinite dimensional ...a backward stochastic partial differential equation in infinite ...controlled stochastic ... See full document
37
A branching particle system approximation for a class of FBSDEs
... forward-backward stochastic differential equations (FBSDEs) have been extensively studied and have found important appli- cations in many fields, including finance, risk measure, stochastic ... See full document
34
Delayed Forward-Backward stochastic PDE's driven by non Gaussian Lévy noise with application in finance
... o stochastic differential ...Kolmogorov equation associated to a SDDE driven by a Brownian ...of stochastic functional delay differential equations (SFDDEs), in particular in the light ... See full document
307
Backward stochastic differential equations with unbounded coefficients and their applications
... However very few effort has been put in studying the SDEs with possible unbounded coefficients. The interest in these equations is not only theoretical, but is also motivated by applications in mathematical finance. ... See full document
138
Some existence results for advanced backward stochastic differential equations with a jump time*,**
... Using the methodology of BSDEs in an enlargement of filtration setting as in Kharroubi and Lim [8], we give conditions such that there exists a unique solution of (0.1) and of (0.2) under immersion hypothesis and in ... See full document
23
A Mean Field Stochastic Maximum Principle for Optimal Control of Forward Backward Stochastic Differential Equations with Jumps via Malliavin Calculus
... on stochastic maximum principle (either completely or partially observed) where adjoint processes are explicitly expressed (see, ...employ stochastic flow technique, over which the Malliavin calculus has ... See full document
17
An asymmetric information non zero sum differential game of mean field backward stochastic differential equation with applications
... zero-sum stochastic differential game under partial ...field stochastic differential game and solved the corresponding optimal control problems for the follower and the leader; Du and Wu [21] considered a new ... See full document
25
Numerical Methods in Financial and Actuarial Applications: A Stochastic Maximum Principle Approach
... Finance stochastic differential equation (FBSDE, hereafter) which arises from the maximum principle formulation of the optimal control ...the backward stochastic differential ... See full document
19
Dynkin game under g-expectation in continuous time
... of stochastic differential games with stopping times in Markov ...reflected backward stochastic differential equation (shortly for reflected BSDE) with one lower obstacle has ... See full document
13
Backward-forward linear-quadratic mean-field games with major and minor agents
... of stochastic differential recursive utility by a class of BSDE (Duffie and Epstein (1992), El Karoui et ...forward-backward stochastic differential equation ... See full document
27
Stochastic control representations for penalized backward stochastic differential equations
... given data for the equation. A solution to the reflected BSDE (1.1) is a triplet of F- adapted processes (Y, Z, K), where Z is a kind of hedging process, and K is a kind of local time process. The equation ... See full document
25
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 ... See full document
17
Modeling Election Problem by a Stochastic Differential Equation
... Since the efficiency of the campaign contains random elements, we are able to decompose E into two parts: fixed non-random part so-called “ a ” and random part so-called “ σ a W t d ( ) ”. And therefore, the ... See full document
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