Nature

Elliptic Operators and Dirichlet Eigenvalue Problems

Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...
JSTOR Daily

Higher Order Convergence Results for the Rayleigh-Ritz Method Applied to Eigenvalue Problems. I: Estimates Relating Rayleigh-Ritz and Galerkin Approximations to Eigenfunctions

SIAM Journal on Numerical Analysis, Vol. 9, No. 1 (Mar., 1972), pp. 137-151 (15 pages) The application of the Rayleigh-Ritz method for approximating the solutions of linear eigenvalue problems in ...
JSTOR Daily

Eigenfunctions of Random Eigenvalue Problems and Their Statistical Properties

SIAM Journal on Applied Mathematics contains research articles on mathematical methods and their applications in the physical, engineering, financial, and life sciences. Publisher Information "The ...
Nature

Eigenvalue Optimization Problems

Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...