Constitutive models for the dynamics of polymer solutions traditionally rely on closure relations extra stress or related microstructural variables (e.g., conformation tensor) linking them to flow history. In this work, we study eigendynamics tensor within GENERIC framework in mesoscopic computer simulations separate effects nonaffine motion from other sources non-Newtonian behavior. We observe...

The task of repeatedly solving parametrized partial differential equations (pPDEs) in optimization, control, or interactive applications makes it imperative to design highly efficient and equally accurate surrogate models. reduced basis method (RBM) presents itself as such an option. Accompanied by a mathematically rigorous error estimator, RBM carefully constructs low-dimensional subspace the ...

In this paper, we consider the pricing problem for extremum options by constructing a double nonaffine stochastic volatility model. The joint characteristic function of logarithm two asset prices is derived using Feynman–Kac theorem and one-order Taylor approximation expansion. semiclosed analytical formulas European including option on maximum minimum underlying assets are measure change techn...

This paper studies the problem of event-triggered control nonaffine stochastic nonlinear systems with actuator hysteresis. The echo state network (ESN) is introduced to approximate an unknown function. command filtering technology used avoid derivation virtual controller in design process and tries solve complexity explosion traditional method. Based on Lyapunov’s finite-time stability theory, ...