In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are used to ...
SIAM Journal on Numerical Analysis, Vol. 49, No. 5/6 (2011), pp. 2017-2038 (22 pages) General autonomous stochastic differential equations (SDEs) driven by one-dimensional Brownian motion in the ...
Abstract: In the field of integrated optics, there has been considerable interest in and extensive research on inverse design techniques in recent years. In the context of photonics inverse design, a ...
Adam is widely used in deep learning as an adaptive optimization algorithm, but it struggles with convergence unless the hyperparameter β2 is adjusted based on the specific problem. Attempts to fix ...
Jupyter notebook guide for gradient-based inverse design techniques, focusing on applications in nanophotonics using Python and TensorFlow. This notebook includes step-by-step tutorials on setting up ...
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