کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598678 1631099 2016 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Diffuse scattering on graphs
ترجمه فارسی عنوان
پراکندگی بر روی نمودار
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We formulate and analyze difference equations on graphs analogous to time-independent diffusion equations arising in the study of diffuse scattering in continuous media. Moreover, we show how to construct solutions in the presence of weak scatterers from the solution to the homogeneous (background problem) using Born series, providing necessary conditions for convergence and demonstrating the process through numerous examples. In addition, we outline a method for finding Green's functions for Cayley graphs for both abelian and non-abelian groups. Finally, we conclude with a discussion of the effects of sparsity on our method and results, outlining the simplifications that can be made provided that the scatterers are weak and well-separated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 496, 1 May 2016, Pages 1–35
نویسندگان
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