Courant’s nodal line theorem and its discrete counterparts

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 55, Issue 1, 2002, Pages 1-15

  Gladwell, G M L ^a   Zhu, H ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE DIFFERENCE METHOD; GRAPH THEORY; PIECEWISE LINEAR TECHNIQUES; VECTORS;

HELMHOLTZ EQUATIONS;

THEOREM PROVING;

EID: 0036472213     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/55.1.1     Document Type: Article

References (14)

1. Eigenfunctions and nodal sets
2. Beziehungen zwischen den eigenwerten und eigenfunktionen verschiedener eigenwertprobleme
3. Remarks on Courant's nodal line theorem
4. Unique continuation and absence of positive eigenvalues for Schrödinger operators
5. Perron-Frobenius type results and discrete versions of nodal domain theorems
6. Some geometric aspects of graphs and their eigenfunctions
7. Multiplicités des valeurs propres laplaciens discrete et laplaciens continus
8. A property of eigenvectors of non-negative symmetric matrices and its application to graph theory
9. Discrete nodal domain theorems