backward stochastic differential equations

Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf

Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf

... Stochastic Mechanics Random Media Signal Processing and Image Synthesis Mathematical Economics and Finance Stochastic Optimization Stochastic Control Stochastic Models in Life Sciences Stochastic ... at the end of this research monograph may be of assistance 1 Stochastic Differential Equations with Jumps Stochastic differential equations (SDEs) with jumps provide the most flexible, numerically ... provide the basis for the application and numerical solution of stochastic differential equations with jumps 1.1 Stochastic Processes Stochastic Process If not otherwise stated, throughout the book...

Ngày tải lên: 19/02/2014, 22:20

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introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans

... majors and surveys without too many precise details random differential equations and some applications Stochastic differential equations is usually, and justly, regarded as a graduate level subject ... familiarity with probability theory, measure theory, ordinary differential equations, and perhaps partial differential equations as well This is all too much to expect of undergrads But white noise, ... trajectories of systems modeled by (ODE) not in fact behave as predicted: X(t) x0 Sample path of the stochastic differential equation Hence it seems reasonable to modify (ODE), somehow to include the possibility...

Ngày tải lên: 31/03/2014, 15:56

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stochastic differential equations 5th ed. - b. oksendal

stochastic differential equations 5th ed. - b. oksendal

... that stochastic differential equations is an important subject let us mention some situations where such equations appear and can be used: 1.1 Stochastic Analogs of Classical Differential Equations ... Problem is a stochastic version of F.P Ramsey’s classical control problem from 1928 In Chapter X we formulate the general stochastic control problem in terms of stochastic differential equations, ... associated Ito diffusion (i.e solution of a stochastic differential equation) leads to a simple, intuitive and useful stochastic solution, which is the cornerstone of stochastic potential theory Problem...

Ngày tải lên: 31/03/2014, 15:57

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introduction to stochastic differential equations 1.2 - evans l c

introduction to stochastic differential equations 1.2 - evans l c

... majors and surveys without too many precise details random differential equations and some applications Stochastic differential equations is usually, and justly, regarded as a graduate level subject ... familiarity with probability theory, measure theory, ordinary differential equations, and perhaps partial differential equations as well This is all too much to expect of undergrads But white noise, ... trajectories of systems modeled by (ODE) not in fact behave as predicted: X(t) x0 Sample path of the stochastic differential equation Hence it seems reasonable to modify (ODE), somehow to include the possibility...

Ngày tải lên: 08/04/2014, 12:24

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singular stochastic differential equations - cherny a, englebert h

singular stochastic differential equations - cherny a, englebert h

... across equations that not satisfy this condition The use of such equations is necessary, in particular, if we want a solution to be positive In this monograph, these equations are called singular stochastic ... Power Equations: Types of Zero 5.2 Power Equations: Types of Infinity 5.3 Equations with a Constant-Sign Drift: Types of Zero 5.4 Equations ... Alexander S Cherny Hans-J¨ rgen Engelbert u Singular Stochastic Differential Equations 123 Authors Alexander S Cherny Department of Probability Theory Faculty of...

Ngày tải lên: 08/04/2014, 12:25

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Báo cáo hóa học: " Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space" docx

Báo cáo hóa học: " Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space" docx

... solutions for neutral differential equations Nonlinear Anal RWA 2010, 11:3037-3044 16 Bezandry P, Diagana T: Existence of almost periodic solutions to some stochastic differential equations Appl Anal ... integro -differential stochastic evolution equations Stat Prob Lett 2008, 78:2844-2849 18 Bezandry P, Diagana T: Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential ... hyperbolic differential equations Electron J Differential Equations 2009, 111:1-14 19 Da Prato G, Tudor C: Periodic and almost periodic solutions for semilinear stochastic evolution equations Stoch Anal...

Ngày tải lên: 21/06/2014, 03:20

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Báo cáo hóa học: " Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays" pot

Báo cáo hóa học: " Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays" pot

... Riccati equations and stability of stochastic linear systems with nonincreasing delays,” Functional Differential Equations, vol 4, no 3-4, pp 279–293, 1997 K Liu, Stability of Infinite Dimensional Stochastic ... neutral stochastic delay differential equations, ” Journal of Mathematical Analysis and Applications, vol 334, no 1, pp 431–440, 2007 B Zhang, “Fixed points and stability in differential equations ... Furumochi, “Fixed points and problems in stability theory for ordinary and functional differential equations, ” Dynamic Systems and Applications, vol 10, no 1, pp 89–116, 2001 S.-M Jung, “A fixed point...

Ngày tải lên: 21/06/2014, 23:20

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Numerical Solution of Stochastic Differential Equations with Jumps in Finance docx

Numerical Solution of Stochastic Differential Equations with Jumps in Finance docx

... Stochastic Mechanics Random Media Signal Processing and Image Synthesis Mathematical Economics and Finance Stochastic Optimization Stochastic Control Stochastic Models in Life Sciences Stochastic ... at the end of this research monograph may be of assistance 1 Stochastic Differential Equations with Jumps Stochastic differential equations (SDEs) with jumps provide the most flexible, numerically ... provide the basis for the application and numerical solution of stochastic differential equations with jumps 1.1 Stochastic Processes Stochastic Process If not otherwise stated, throughout the book...

Ngày tải lên: 28/06/2014, 17:20

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Approximation for nonsmooth functionals of stochastic differential equations with irregular drift

Approximation for nonsmooth functionals of stochastic differential equations with irregular drift

... of stochastic differential equations with discontinuous drift The aim of the present paper is to investigate the weak order of the Euler-Maruyama approximation for stochastic differential equations ... of stochastic differential equations Let (Ω, G, {Gt }t≥0 , Q) be a filtered probability space and (Wt )t≥0 be a d-dimensional standard Brownian motion We consider a d-dimensional stochastic differential ... Numerically Solving Stochastic Dierential Equations with Discontinuous Coefficient Stoch Proc Appl , 76, 33–44 [3] Cherny, A and Engelbert, H-J (2005) Singular Stochastic Differential Equations Lecture...

Ngày tải lên: 14/10/2015, 07:53

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Strong Rate of Tamed EulerMaruyama Approximation for Stochastic Differential Equations with H¨older Continuous Diffusion Coefficient

Strong Rate of Tamed EulerMaruyama Approximation for Stochastic Differential Equations with H¨older Continuous Diffusion Coefficient

... methods for nonlinear stochastic differential equations SIAM J Numer Anal 40, 1041–1063 Hu, Y (1996) Semi-implicit Euler-Maruyama scheme for stiff stochastic equations, in Stochastic Analysis and ... Numerical Solution of Stochastic Differential Equations Springer Ngo, H-L and Taguchi, D (2013) Strong rate of convergence for the EulerMaruyama approximation of stochastic differential equations with ... formulas for solutions of stochastic integral equations Math USSR Sb 39, 387– 403 19 Yamada, T., Watanabe, S (1971) On the uniqueness of solutions of stochastic differential equations, Journal of...

Ngày tải lên: 14/10/2015, 07:58

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stochastic integration and differential equations 2ed - protter

stochastic integration and differential equations 2ed - protter

... and Differential Equations (1990,znd ed 2003) 22 Benveni~telMCtivierIPriouret, Adaptive Algorithms and StochasticApproximations (1990) 23 KloedenlPlaten, Numerical Solution of Stochastic Differential ... Solutions 249 Stability of Stochastic Differential Equations 257 Fisk-Stratonovich Integrals and Differential Equations 270 The Markov Nature of Solutions ... Flows of Stochastic Differential Equations: Continuity and Differentiability 301 Flows as Diffeomorphisms: The Continuous Case 310 General Stochastic...

Ngày tải lên: 08/04/2014, 12:25

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Báo cáo hóa học: "RELIABILITY OF DIFFERENCE ANALOGUES TO PRESERVE STABILITY PROPERTIES OF STOCHASTIC VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS" pdf

Báo cáo hóa học: "RELIABILITY OF DIFFERENCE ANALOGUES TO PRESERVE STABILITY PROPERTIES OF STOCHASTIC VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS" pdf

... approximation for stochastic integro-differential equations, Stochastic Analysis and Applications 17 (1999), no 4, 579–588 , Strong approximations of stochastic integro-differential equations, Dynamics ... X R Mao, Stability of stochastic integro-differential equations, Stochastic Analysis and Applications 18 (2000), no 6, 1005–1017 [27] B Øksendal, Stochastic Differential Equations: An Introduction ... integro-differential equations stability and numerical stability of θ-methods, Journal of Integral Equations and Applications 10 (1998), no 4, 397–416 [10] I I Gihman and A V Skorokhod, Stochastic Differential Equations, ...

Ngày tải lên: 22/06/2014, 22:20

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Strong approximation for non Lipschitz stochastic functional differential equations with distributed delays

Strong approximation for non Lipschitz stochastic functional differential equations with distributed delays

... of EM type approximation schemes for stochastic functional differential equations, e.g in [10], [13], [12], [1], [7], [8] for stochastic differential delay equations, and in [2], [3] for general ... X.Mao, Stochastic Differential Equations and their applications, Horwood Publishing Limited, Chichester, 1997 [13] X Mao, S Sabanis, Numerical solutions of stochastic differential delay equations ... [14] S.E.A Mohammed, Stochastic functional differential equations, Pitman, Boston, 1984 [15] T Yamada, S Watanabe, On the uniqueness of solutions of stochastic differential equations, J Math Kyoto...

Ngày tải lên: 14/10/2015, 07:55

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Partial Differential Equations part 1

Partial Differential Equations part 1

... 828 Chapter 19 Partial Differential Equations initial values (a) boundary values (b) Figure 19.0.1 Initial value problem ... memory given at some initial time t0 for all x, then the equations describe how u(x, t) propagates itself forward in time In other words, equations (19.0.1) and (19.0.2) describe time evolution ... boundary value problem are: • What are the variables? • What equations are satisfied in the interior of the region of interest? • What equations are satisfied by points on the boundary of the region...

Ngày tải lên: 28/10/2013, 22:15

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Partial Differential Equations part 2

Partial Differential Equations part 2

... implicit schemes, which require us to solve implicit equations coupling the un+1 for various j (Explicit and implicit methods for ordinary differential j equations were discussed in §16.6.) The FTCS ... only),or send email to trade@cup.cam.ac.uk (outside North America) where 836 Chapter 19 Partial Differential Equations FTCS t or n Figure 19.1.1 Representation of the Forward Time Centered Space (FTCS) ... matrix relation F(u) = −v −v ·u (19.1.5) (The physicist-reader may recognize equations (19.1.3) as analogous to Maxwell’s equations for one-dimensional propagation of electromagnetic waves.) We will...

Ngày tải lên: 07/11/2013, 19:15

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Tài liệu Integration of Ordinary Differential Equations part 1 doc

Tài liệu Integration of Ordinary Differential Equations part 1 doc

... 16.6 of this chapter treats the subject of stiff equations, relevant both to ordinary differential equations and also to partial differential equations (Chapter 19) Sample page from NUMERICAL ... Chapter 16 Integration of Ordinary Differential Equations CITED REFERENCES AND FURTHER READING: Gear, C.W 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, ... 1973, Computational Methods in Ordinary Differential Equations (New York: Wiley) Lapidus, L., and Seinfeld, J 1971, Numerical Solution of Ordinary Differential Equations (New York: Academic Press)...

Ngày tải lên: 15/12/2013, 04:15

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Tài liệu Integration of Ordinary Differential Equations part 2 pptx

Tài liệu Integration of Ordinary Differential Equations part 2 pptx

... trade@cup.cam.ac.uk (outside North America) x2 x1 712 Chapter 16 Integration of Ordinary Differential Equations yn yn + Figure 16.1.3 Fourth-order Runge-Kutta method In each step the derivative ... in [3] Here is the routine for carrying out one classical Runge-Kutta step on a set of n differential equations You input the values of the independent variables, and you get out new values which ... free_vector(yt,1,n); free_vector(dyt,1,n); free_vector(dym,1,n); 714 Chapter 16 Integration of Ordinary Differential Equations } CITED REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A 1964, Handbook...

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