The study of quantum ergodicity and the precise estimation of eigenfunctions on Riemannian manifolds lies at the intersection of geometric analysis and quantum physics. In settings where the ...

Journal of Coastal Research, Vol. 17, No. 2 (Spring, 2001), pp. 371-382 (12 pages) Empirical orthogonal function (EOF) analysis (or Principal component analysis) has become an established technique ...

This paper proposes a new approach to solve finite-horizon optimal stopping problems for a class of Markov processes that includes one-dimensional diffusions, birth—death processes, and jump ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...