The fractional derivatives, defined in the Caputo sense, provide accurate and efficient solutions. These methods allow for explicit numerical approximations of fractional partial differential ...

Abstract: A closed expression for repeated partial derivatives of the inverse mass matrix is developed. It rests on the factorization of the inverse mass matrix in terms of a single ...

Abstract: A closed expression for repeated partial derivatives of the inverse mass matrix is developed. It rests on the factorization of the inverse mass matrix in terms of a single ...

Department of Periodontology, Academic Centre for Dentistry Amsterdam (ACTA), University of Amsterdam and Vrije Universiteit Amsterdam, Amsterdam, Netherlands Aim: To study the effects of advanced ...

JavaFx Application for Convolutional Network to perfom Image Classification using Softmax Output Layer, Back Propagation, Gradient Descent, Partial Derivatives, Matrix Flattening, Matrix Unfolding, ...

JavaFx Application for Convolutional Network to perfom Image Classification using Softmax Output Layer, Back Propagation, Gradient Descent, Partial Derivatives, Matrix Flattening, Matrix Unfolding, ...

The temporal derivative is replaced by a first order backward difference approximation to obtain an implicit formulation. The resulting scheme contains nonstandard finite difference stencils. An ...

Gradient descent algorithms take the loss function and use partial derivatives to determine what each variable (weights and biases) in the network contributed to the loss value. It then moves ...

In general, nearly all the partial differential equations are difficult or cannot ... it is necessary to consider the Chebyshev derivative matrix to approximate the derivative terms, and next we give ...

In recent years, enamel matrix derivatives (EMDs) have been used for their regenerative ... unsuccessful root surface closure (0), partial closure (3), and complete root surface closure (6). The ...