In this paper,a compact difference scheme is established for the heat equations with multi-point boundary value conditions.The truncation error of the difference scheme is O(τ2+h^4),where t and h are the temporal ste...In this paper,a compact difference scheme is established for the heat equations with multi-point boundary value conditions.The truncation error of the difference scheme is O(τ2+h^4),where t and h are the temporal step size and the spatial step size.A prior estimate of the difference solution in a weighted norm is obtained.The unique solvability,stability and convergence of the difference scheme are proved by the energy method.The theoretical statements for the solution of the difference scheme are supported by numerical examples.展开更多
A semi-implicit and Eulerian - Lagrangian finite difference method for three-dimensionalshallow flow has been extended to a more complete system of equations incorporating second-moment turbulence closure model and tr...A semi-implicit and Eulerian - Lagrangian finite difference method for three-dimensionalshallow flow has been extended to a more complete system of equations incorporating second-moment turbulence closure model and transport equations of salinity and temperature. The simulation for flooding and drying of mudflats has been improved. The model is applied to Xiamen waters. Based on extensive survey data, water level elevation, temperature and salinity field along the eastern open boundary and at the Jiulong River inlets and runoffs are analyzed, specified and calibrated. The computed results show good agreement with the measured data, reproduce flooding, emergence of large and complex mudflat region.展开更多
We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform c...We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.展开更多
The high-spin states in <sup>197</sup>Bi are studied with the <sup>197</sup>Re(<sup>16</sup>O, 6n) reaction, theenergies of <sup>16</sup>O being between 85 and 105 MeV. ...The high-spin states in <sup>197</sup>Bi are studied with the <sup>197</sup>Re(<sup>16</sup>O, 6n) reaction, theenergies of <sup>16</sup>O being between 85 and 105 MeV. In-beam measurements of γ-ray excitation func-tions, γ-γ-t coincidences and γ-ray angular distributions are performed with six BGO （AC）HPGe detectors and one intrinsic Ge planar detector. Eleven new transitions and three new iso-mers at 2089, 2357 and 1968+△keV with T<sub>1/2</sub>=19, 34±4, 9, 53, 4±20. 5 and 18. 04±3. 1 ns,respectively, are observed, and a level scheme established. In addition, a half-life of 36. 7±7.0 ns was determined for the first time for the previously established 2065 keV isomer.展开更多
基金The research is supported by the National Natural Science Foundation of China(No.11671081)the Fundamental Research Funds for the Central Universities(No.242017K41044).
文摘In this paper,a compact difference scheme is established for the heat equations with multi-point boundary value conditions.The truncation error of the difference scheme is O(τ2+h^4),where t and h are the temporal step size and the spatial step size.A prior estimate of the difference solution in a weighted norm is obtained.The unique solvability,stability and convergence of the difference scheme are proved by the energy method.The theoretical statements for the solution of the difference scheme are supported by numerical examples.
文摘A semi-implicit and Eulerian - Lagrangian finite difference method for three-dimensionalshallow flow has been extended to a more complete system of equations incorporating second-moment turbulence closure model and transport equations of salinity and temperature. The simulation for flooding and drying of mudflats has been improved. The model is applied to Xiamen waters. Based on extensive survey data, water level elevation, temperature and salinity field along the eastern open boundary and at the Jiulong River inlets and runoffs are analyzed, specified and calibrated. The computed results show good agreement with the measured data, reproduce flooding, emergence of large and complex mudflat region.
文摘We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differential equation, and construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.
文摘The high-spin states in <sup>197</sup>Bi are studied with the <sup>197</sup>Re(<sup>16</sup>O, 6n) reaction, theenergies of <sup>16</sup>O being between 85 and 105 MeV. In-beam measurements of γ-ray excitation func-tions, γ-γ-t coincidences and γ-ray angular distributions are performed with six BGO （AC）HPGe detectors and one intrinsic Ge planar detector. Eleven new transitions and three new iso-mers at 2089, 2357 and 1968+△keV with T<sub>1/2</sub>=19, 34±4, 9, 53, 4±20. 5 and 18. 04±3. 1 ns,respectively, are observed, and a level scheme established. In addition, a half-life of 36. 7±7.0 ns was determined for the first time for the previously established 2065 keV isomer.
