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  5. Analysis of the Stationary Wigner Equation with Inflow Boundary Conditions

Analysis of the Stationary Wigner Equation with Inflow Boundary Conditions

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：chenglin229
【摘 要】
：
The stationary Wigner equation with inflow boundary conditions(BVP)has been wideley applied in numerical simulation of nano semiconductor devices.I will introduce our recent work on analysis of the ma
【作 者】
：
Lu Tiao 
【机 构】
：
Peking Univ.
【出 处】
：
第八届工业与应用数学国际大会
【发表日期】
：
2015年5期
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论文部分内容阅读
　　The stationary Wigner equation with inflow boundary conditions(BVP)has been wideley applied in numerical simulation of nano semiconductor devices.I will introduce our recent work on analysis of the mathematical properties of the BVP and then present a semi-discrete version of the Wigner equation and prove that the constructed numerical solution by using the Shannon-Whittaker interpolation formula converges to the solution of the continuous BVP as the velocity mesh size goes to zero.
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