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PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
SPLITTING FIELDS OF CHARACTERISTIC POLYNOMIALS OF RANDOM ELEMENTS IN ARITHMETIC GROUPS
SPLITTING FIELDS CHARACTERISTIC POLYNOMIALS RANDOM ELEMENTS ARITHMETIC GROUPS
2015/8/26
We discuss rather systematically the principle, implicit in earlier works, that for a “random” element in an arithmetic subgroup of a (split, say) reductive algebraic group over a number field, the sp...
Consider an absolutely simple abelian variety A defined over a number field K. For most places v of K, we study how the reduction Av of A modulo v splits up to isogeny. Assumingthe Mumford–Tate conjec...
Temporal variation of shear-wave splitting parameters before and after the 2008 Movri Mountain earthquake in northwest Peloponnese (Greece)
splitting parameters northwest Peloponnese
2015/8/26
On June 8, 2008, at 12:25 GMT, a Mw 6.4 earthquake, the Movri Mountain earthquake, occurred in the area of northwest Peloponnese, western Greece. The epicenter was located in the municipality of Movri...
A splitting method for optimal control
Operator splitting algorithm the secondary control operation
2015/8/7
We apply an operator splitting technique to a generic linear-convex optimal control problem, which results in an algorithm that alternates between solving a quadratic control problem, for which there ...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Block splitting for distributed optimization
Distributed computing convex optimization data large linear operator matrix machine
2015/8/7
This paper describes a general purpose method for solving convex optimization problems in a distributed computing environment. In particular, if the problem data includes a large linear operator or ma...
Metric selection in Douglas-Rachford splitting and ADMM
Divided multiplier literature linear convergence and linear convergence parameter optimization algorithm
2015/8/7
Recently, several convergence rate results for Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) have been presented in the literature. In this paper, we show linea...
Time splitting for wave equations in random media
Time splitting wave equations random media
2015/7/14
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and sp...
Time splitting for the Liouville equation in a random medium
Time splitting Liouville equation random medium
2015/7/14
We consider the Liouville equations with highly heterogeneous Hamiltonians and their numerical solution by a time splitting algorithm. Such equations model the density of particles evolving according ...
Mantle lithosphere transition from the East European Craton to the Variscan Bohemian Massif imaged by shear-wave splitting
Seismic shear wave splitting focused on the structure of the upper mantle
2015/1/6
We analyse splitting of teleseismic shear waves recorded during the PASSEQ passive experiment (2006–2008) focused on the upper mantle structure across and around the Trans-European Suture Zone (TESZ)....
What Can Density Functional Theory Tell Us about Artificial Catalytic Water Splitting?
Density Functional Theory Artificial Catalytic Water Splitting
2014/8/21
Water splitting by artificial catalysts is a critical process in the production of hydrogen gas as an alternative fuel. In this paper, we examine the essential role of theoretical calculations, with p...
Weak measurements of a large spin-dependent angular splitting of light beam on reflection at Brewster angle
Weak measurements light beam reflection Brewster angle Optics
2012/5/31
We reveal a large spin-dependent angular splitting of light beam on reflection at Brewster angle both theoretically and experimentally. A simple weak measurements system manifesting itself for the bui...
A time-splitting spectral scheme for the Maxwell-Dirac system
Maxwell-Dirac system time-splitting spectral method semi-classical asymptotics WKB-expansion
2012/5/24
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic reg...
Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...