Results 1 to 10 of about 28,375 (89)

Invertible Darboux Transformations [PDF]

open access: yes, 2013
For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae.
Shemyakova, Ekaterina
core   +5 more sources

Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach [PDF]

open access: yes, 2013
We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete
A. C. McBride   +15 more
core   +1 more source

The automatic solution of partial differential equations using a global spectral method [PDF]

open access: yes, 2015
A spectral method for solving linear partial differential equations (PDEs) with variable coefficients and general boundary conditions defined on rectangular domains is described, based on separable representations of partial differential operators and ...
Olver, Sheehan, Townsend, Alex
core   +1 more source

Racah Polynomials and Recoupling Schemes of $\mathfrak{su}(1,1)$ [PDF]

open access: yes, 2015
The connection between the recoupling scheme of four copies of $\mathfrak{su}(1,1)$, the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identified. The Racah polynomials are presented as connection coefficients between
Post, Sarah
core   +3 more sources

POVMs: a small but important step beyond standard quantum mechanics [PDF]

open access: yes, 2006
It is the purpose of the present contribution to demonstrate that the generalization of the concept of a quantum mechanical observable from the Hermitian operator of standard quantum mechanics to a positive operator-valued measure is not a peripheral ...
et al., xx   +4 more
core   +2 more sources

Fast Covariance Estimation for High-dimensional Functional Data [PDF]

open access: yes, 2013
For smoothing covariance functions, we propose two fast algorithms that scale linearly with the number of observations per function. Most available methods and software cannot smooth covariance matrices of dimension $J \times J$ with $J>500$; the ...
Crainiceanu, Ciprian   +3 more
core   +3 more sources

Stable image reconstruction using total variation minimization [PDF]

open access: yes, 2013
This article presents near-optimal guarantees for accurate and robust image recovery from under-sampled noisy measurements using total variation minimization.
Needell, Deanna, Ward, Rachel
core   +4 more sources

Multiple Factorizations of Bivariate Linear Partial Differential Operators

open access: yes, 2009
We study the case when a bivariate Linear Partial Differential Operator (LPDO) of orders three or four has several different factorizations. We prove that a third-order bivariate LPDO has a first-order left and right factors such that their symbols are
A.V. Zhiber   +16 more
core   +1 more source

Derivatives pricing in energy markets: an infinite dimensional approach [PDF]

open access: yes, 2014
Based on forward curves modelled as Hilbert-space valued processes, we analyse the pricing of various options relevant in energy markets. In particular, we connect empirical evidence about energy forward prices known from the literature to propose ...
Benth, Fred Espen, Krühner, Paul
core   +3 more sources

Order-Degree Curves for Hypergeometric Creative Telescoping

open access: yes, 2012
Creative telescoping applied to a bivariate proper hypergeometric term produces linear recurrence operators with polynomial coefficients, called telescopers. We provide bounds for the degrees of the polynomials appearing in these operators.
Chen, Shaoshi, Kauers, Manuel
core   +1 more source

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