In this article, we propose the sparse grid combination technique for the second moment analysis of elliptic partial differential equations on random domains. By employing shape sensitivity analysis, we linearize the influence of the random domain perturbation on the solution. We derive deterministic partial differential equations to approximate the random solution’s mean and its covariance wit...

The Lindstedt–Poincaré technique in perturbation theory is used to calculate periodic orbits of perturbed differential equations. It uses a nearby periodic orbit of the unperturbed differential equation as the first approximation. We derive a numerical algorithm based upon this technique for computing periodic orbits of dynamical systems. The algorithm, unlike the Lindstedt–Poincaré technique, ...

To limit the radio map size and the time required to build the radio map, current WLAN location determination systems do not handle small-scale variations. This contributes to most of the estimation errors in the current systems. We propose a general technique, the perturbation technique, to handle the small-scale variations problem. The system uses user history to detect small-scale variations...

A well-trained DNN model can be regarded as an intellectual property (IP) of the owner. To date, many IP protection methods have been proposed, but most them are watermarking based verification where owners only verify their ownership passively after copyright models has infringed. In this paper, we propose effective framework to actively protect from infringement. Specifically, encrypt model's...

For further insight into the perturbation technique within framework of asymptotic iteration method (PAIM), we suggest this to be used as an alternative traditional well-known techniques. We show by means very simple algebraic manipulations that PAIM can directly applied obtain symbolic expectation value any perturbed potential piece without using eigenfunction unperturbed problem. One fundamen...