کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646261 | 1342095 | 2008 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data](/preview/png/4646261.png)
چکیده انگلیسی
Transparent boundary conditions (TBCs) are an important tool for the truncation of the computational domain in order to compute solutions on an unbounded domain. In this work we want to show how the standard assumption of ‘compactly supported data’ could be relaxed and derive TBCs for a generalized Schrödinger equation directly for the numerical scheme on the discrete level. With this inhomogeneous TBCs it is not necessary that the initial data lies completely inside the computational region. However, an increased computational effort must be accepted.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 58, Issue 5, May 2008, Pages 660-673
Journal: Applied Numerical Mathematics - Volume 58, Issue 5, May 2008, Pages 660-673