Search

Your search keyword '"Jiang, Jiaping"' showing total 16 results
Start Over Author "Jiang, Jiaping"
16 results on '"Jiang, Jiaping"'

15. Unconditional and optimal <bold>H</bold>2-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions.

Author

Wang, Tingchun, Zhao, Xiaofei, and Jiang, Jiaping

Subjects
SCHRODINGER equation, FINITE differences, LINEAR systems
Abstract

The focus of this paper is on the optimal error bounds of two finite difference schemes for solving the d-dimensional (d = 2, 3) nonlinear Klein-Gordon-Schrödinger (KGS) equations. The proposed finite difference schemes not only conserve the mass and energy in the discrete level but also are efficient in practical computation because only two linear systems need to be solved at each time step. Besides the standard energy method, an induction argument as well as a ‘lifting’ technique are introduced to establish rigorously the optimal H2-error estimates without any restrictions on the grid ratios, while the previous works either are not rigorous enough or often require certain restriction on the grid ratios. The convergence rates of the proposed schemes are proved to be at O(h2 + τ2) with mesh-size h and time step τ in the discrete H2-norm. The analysis method can be directly extended to other linear finite difference schemes for solving the KGS equations in high dimensions. Numerical results are reported to confirm the theoretical analysis for the proposed finite difference schemes. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

16. Band gap bowing and crossing of BxGa1−xN alloy investigated by hybrid functional method

Author

Gai Yanqin, Tang Gang, and Jiang Jiaping

Subjects
Materials science, Condensed matter physics, Band gap, Bowing, Alloy, Crossover, chemistry.chemical_element, 02 engineering and technology, Electronic structure, engineering.material, 021001 nanoscience & nanotechnology, Condensed Matter Physics, 01 natural sciences, Electronic, Optical and Magnetic Materials, Hybrid functional, chemistry, 0103 physical sciences, Materials Chemistry, engineering, Electrical and Electronic Engineering, 010306 general physics, 0210 nano-technology, Boron, Electronic properties
Abstract

The electronic properties of zinc-blende BxGa1–xN alloys are comparatively investigated by employing both the Perdewe-Burkee–Ernzerhof generalized-gradient approximation (PBE-GGA) and the Heyd-Scuseria-Ernzerhof screened hybrid functional methods (HSE06). HSE06 reproduced much closer ground-state properties to experiments. Large and composition-dependent bowing parameters bγ for the direct band gaps were obtained from both PBE and HSE06. The crossover composition where alloy switches from direct to indirect was predicted to occur at very similar x from PBE and HSE06. We can obtain direct gap BxGa1–xN with a gap value much larger than that of GaN by alloying x < 0.557 boron into GaN.

Published
2016

Catalog

Books, media, physical & digital resources
See catalog results