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Here we present the online meteorology and chemistry adjoint and tangent linear model, WRFPLUSChem (Weather Research and Forecasting plus chemistry), which incorporates modules to treat boundary lay...
Accurate modelling of the carbon cycle strongly depends on the parametrization of its underlying processes. The Carbon Cycle Data Assimilation System (CCDAS) can be used as an estimator algorithm t...
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eig...
The purpose of this paper is to establish an effective non-vanishing theorem for the syzygies of an adjoint-type line bundle on a smooth variety, as the positivity of the embedding increases. Our purp...
This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms compute the derivativ...
Abstract: Suppose that $X$ is a projective variety over an algebraically closed field of characteristic $p > 0$. Further suppose that $L$ is an ample (or more generally in some sense positive) divisor...
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
Abstract: In this article we obtain asymptotic formulas, uniform with respect to t\in[0,2{\pi}), for eigenvalues and eigenfunctions of the Sturm-Liouville operators L_{t}(q) with potential q\inL_{1}[0...
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
Abstract: In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous determini...
Определения и обозначения. Пусть задано метрическое простран-ство X △= Rm. Определим T △= {t ∈ R| t ≥ 0}.
The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
We show that a pair of almost commuting self-adjoint, symmetric ma-trices are close to commuting self-adjoint, symmetric matrices (in a uni-form way).
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...

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