Abstract: Universal approximation is the basis for theoretical research and practical application of fuzzy systems. However, their ability to model static information has been successfully proven and ...

This code snippet demonstrates the concept of derivative approximation using finite differences and symbolic differentiation with the sympy library. Here's a breakdown of what each part does: ...

Different from the construction process of the traditional finite difference method, we derive a large class of high-accuracy methods for approximating derivatives. Since Taylor expansion is avoided, ...

Abstract: We study smoothing properties and approximation of time derivatives for time discretization schemes with constant time steps for a homogeneous parabolic problem formulated as an abstract ...

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This paper develops analytical distributions of temperature indices on which temperature derivatives are written. If the deviations of daily temperatures from their expected values are modelled as an ...

The FD= and FDHESSIAN= options specify the use of finite difference approximations of the derivatives. The FD= option specifies that all derivatives are approximated using function evaluations, and ...