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Stochastic Differential Equations,t. 9.8 we obtain some .. estimates that will allow us to specify the regularity of the paths and the dependence from the initial conditions. In the last sections we shall see that the solution of a stochastic differential equation is a Markov process and even a diffusion associated to a differential打折 发表于 2025-3-22 15:11:34
PDE Problems and Diffusions,are very useful from two points of view. First of all, for the investigation and a better understanding of the properties of the solutions of these PDEs. Moreover, in some situations, they allow to compute the solution of the PDE (through the explicit computation of the expectation of the correspondapropos 发表于 2025-3-22 20:20:21
,∗Simulation,ula in order to do this and one must recourse to approximations and numerical methods. We have seen in the previous chapter that sometimes such an expectation can be obtained by solving a PDE problem so that specific numerical methods for PDEs, such as finite elements, can be employed. Simulation ofAdrenal-Glands 发表于 2025-3-23 00:03:07
PDE Problems and Diffusions,Es. Moreover, in some situations, they allow to compute the solution of the PDE (through the explicit computation of the expectation of the corresponding functional) or the expectation of the functional (by solving the PDE explicitly). The exercises of this chapter and Exercise 12.8 provide some instances of this way of reasoning.粗鲁性质 发表于 2025-3-23 03:20:54
,∗Simulation,ectation can be obtained by solving a PDE problem so that specific numerical methods for PDEs, such as finite elements, can be employed. Simulation of diffusion processes is another option which is explored in this chapter.装饰 发表于 2025-3-23 06:32:04
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