L-모양 영역의 스펙트럼

개요

• 유클리드 평면의 L자 영역에 대한 라플라시안의 고유치 문제
• 영역

• 첫번째 고유해의 등고선과 그래프

• 위 그림은 수학소프트웨어 'MATLAB'의 로고가 되었다

메모

• http://people.maths.ox.ac.uk/trefethen/publication/PDF/2006_116.pdf
• This was the central example in the 1967 paper by Fox, Henrici and Moler that was an important early contribution to numerical methods for these problems, an outgrowth of Moler’s 1965 PhD thesis at Stanford. In the late 1970s, Moler took this example to illustrate the power of his new computer system MATLAB, and when MathWorks, Inc. was founded in 1984, the new company chose an image related to the first eigenmode of the L as its logo.

매스매티카 파일 및 계산 리소스

• https://drive.google.com/file/d/0B8XXo8Tve1cxTWdxVXItM0pPa0k/view?pref=2&pli=1
• http://mathematica.stackexchange.com/questions/43012/plot-matlab-icon

리뷰, 에세이, 강의노트

• http://au.mathworks.com/company/newsletters/articles/the-mathworks-logo-is-an-eigenfunction-of-the-wave-equation.html