کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645953 | 1342072 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Adaptive solution of the master equation in low dimensions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Adaptive solution of the master equation in low dimensions Adaptive solution of the master equation in low dimensions](/preview/png/4645953.png)
چکیده انگلیسی
The master equation satisfied by a probability density function is solved on a grid with a cell size h>1. A modified master equation is derived for the time development of the average of the density in the larger cells. The accuracy of the approximation is studied and the total probability is conserved. Based on an estimate of the discretization error, the cell size is dynamically adapted to the solution. The method is suitable for a few space dimensions and is tested on a model for the migration of people. Substantial savings in memory requirements and CPU times are reported in numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 1, January 2009, Pages 187-204
Journal: Applied Numerical Mathematics - Volume 59, Issue 1, January 2009, Pages 187-204