In this work we consider explicit Two-derivative Runge-Kutta methods of a specific type where the function f is evaluated only once at each step. New 7th order are presented with minimized dispersion and dissipation error. These two constant coefficients 5 6 stages. Also, modified phase-fitted, amplification-fitted method frequency dependent stages constructed based on Chan Tsai. The new applie...

We provide novel reduced-order observer designs for continuous-time nonlinear systems with measurement error. Our first result applies to continuous output measurements, and provides observers that converge in a fixed finite time is independent of the initial state when error zero. second under discrete asymptotically rate convergence proportional negative logarithm size sampling interval. sati...

In this paper, an image recovery method based on search-order coding (SOC) is proposed. By using SOC, a SOC-image of the secret image can be generated. If the secret image is damaged, people can still obtain a version of the secret image that looks not bad by referring to the SOC-image. Also, the information of the secret image cannot be retrieved from the SOC-image alone. Key-Words: search-ord...

A posteriori estimation of defeaturing error. i.e. engineering analysis error caused by defeaturing, remains a key challenge in CAD/CAE integration; indeed, it is essential if analysis based on automatic simplification of the geometry of a complex design is to be reliable. Previous work has mainly focused on removing a single, negative, internal design feature (i.e. a void within the model’s in...