"그린 함수(Green's function)"의 두 판 사이의 차이

2011년 12월 1일 (목) 06:15 판

heat kernel
\(K(x,t)=\frac{1}{\sqrt{2\pi \beta t}}\exp\left(-\frac{x^2}{4\beta t}\right)\)
heat kernel 을 이용한 열방정식의 해
\(u(x,t)=\int_{-\infty}^{\infty}f(y)K(x-y,t)\,dy=\frac{1}{\sqrt{2 \pi \beta t}}\int_{-\infty}^{\infty}f(y)\exp\left(-\frac{(x-y)^2}{4\beta t}\right)\,dy\)

@@ 10번째 줄: / 10번째 줄: @@
 * 일반적으로는 distribution
 * 예를 들어 heat kernel 은 열방정식의 그린 함수이다
+<h5>상미분방정식에서의 응용</h5>
+* [http://physics.ucsc.edu/%7Epeter/250/gf.pdf http://physics.ucsc.edu/~peter/250/gf.pdf]
+<h5>편미분방정식에서의 응용</h5>
+* [http://www.phy.duke.edu/%7Ehx3/physics/propagator.pdf Propagator, Green’s function and Correlation]
@@ 31번째 줄: / 51번째 줄: @@
 * [[라플라시안(Laplacian)]]
@@ 63번째 줄: / 79번째 줄: @@
 <h5>메모</h5>
-* [http://physics.ucsc.edu/%7Epeter/250/gf.pdf http://physics.ucsc.edu/~peter/250/gf.pdf]
+* Green's functions and Linear Differential Equations http://www.crcpress.com/product/isbn/9781439840085;jsessionid=Unpd7Ho2GLNiLb1781kf6g**
-* Green's functions and Linear Differential Equations [http://www.crcpress.com/product/isbn/9781439840085;jsessionid=Unpd7Ho2GLNiLb1781kf6g** ]http://www.crcpress.com/product/isbn/9781439840085;jsessionid=Unpd7Ho2GLNiLb1781kf6g**
 * [http://greensfunction.unl.edu/home/index.html Green's Function Library]
 * [http://greensfunction.unl.edu/home/index.html Green's Function Library: Contents] Infinite body, rectangular coordinate transient 1-D.