We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded meshes. By exploiting a local tensor product structure, we extend construction rules spline setting. The proposed algorithm has computational cost proportional number degrees freedom and advantageous properties increa...

Reservoir-induced seismicity is a very important issue in the study of geological analysis and ecoenvironmental impact assessment in hydraulic and hydropower engineering. On the other hand, reservoir-induced seismicity is a necessary consideration in the feasibility study of hydropower project. Due to the complexity in the process of reservoir-induced earthquake and the uncertainty of the influ...

A new sensitive, simple and rapid method for determination of methotrexate (MTX) was developed based on quenching effects of MTX on the fluorescence intensity of Tb3+-1,10-phenanthroline complex. The fluorescence intensity was measured with excitation wavelength of 300 nm and emission wavelength of 545 nm and the quenched fluorescence intensity is proportional to the concentration of MTX in Tris...

This paper proposes a hierarchical nonlinear approximation scheme for scalar-valued multivariate functions, where the main objective is to obtain an accurate approximation with using only very few function evaluations. To this end, our iterative method combines at any refinement step the selection of suitable evaluation points with kriging, a standard method for statistical data analysis. Parti...

Learning of the mathematical number line has been hypothesized to be dependent on an inherent sense of approximate quantity. Children's number line placements are predicted to conform to the underlying properties of this system; specifically, placements are exaggerated for small numerals and compressed for larger ones. Alternative hypotheses are based on proportional reasoning; specifically, nu...