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Stable discretization of magnetohydrodynamics in bounded domains
 Comm. Math. Sci
"... Abstract We study a semiimplicit timedifference scheme for magnetohydrodynamics of a viscous and resistive incompressible fluid in a bounded smooth domain with perfectly conducting boundary. In the scheme, velocity and magnetic fields are updated by solving simple Helmholtz equations. Pressure is ..."
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Cited by 1 (1 self)
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Abstract We study a semiimplicit timedifference scheme for magnetohydrodynamics of a viscous and resistive incompressible fluid in a bounded smooth domain with perfectly conducting boundary. In the scheme, velocity and magnetic fields are updated by solving simple Helmholtz equations. Pressure is treated explicitly in time, by solving Poisson equations corresponding to a recently developed formula for the NavierStokes pressure involving the commutator of Laplacian and Leray projection operators. We prove stability of the timedifference scheme, and deduce a localtime wellposedness theorem for MHD dynamics extended to ignore the divergencefree constraint on velocity and magnetic fields. These fields are divergencefree for all later time if they are initially so.
Factorization Theory For Stable, DiscreteTime Inner Functions
, 1995
"... We develop a factorization theory for stable inner functions relative to the unit circle. paf/hoffmann/klhinner Earl Katz Family Chair in Algebraic System Theory y Partially supported by GIF under Grant No. I 184. 1 INTRODUCTION 2 1 Introduction Inner functions play an important role in both m ..."
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Cited by 5 (1 self)
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We develop a factorization theory for stable inner functions relative to the unit circle. paf/hoffmann/klhinner Earl Katz Family Chair in Algebraic System Theory y Partially supported by GIF under Grant No. I 184. 1 INTRODUCTION 2 1 Introduction Inner functions play an important role in both
Conditioning Of The Stable, DiscreteTime Lyapunov Operator
"... . The Schatten pnorm condition of the discretetime Lyapunov operator LA defined on matrices P 2 R n\Thetan by LAP j P \Gamma APA T is studied for stable matrices A 2 R n\Thetan . Bounds are obtained for the norm of LA and its inverse that depend on the spectrum, singular values and radius o ..."
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Cited by 2 (0 self)
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. The Schatten pnorm condition of the discretetime Lyapunov operator LA defined on matrices P 2 R n\Thetan by LAP j P \Gamma APA T is studied for stable matrices A 2 R n\Thetan . Bounds are obtained for the norm of LA and its inverse that depend on the spectrum, singular values and radius
Computing Discrete Minimal Surfaces and Their Conjugates
 EXPERIMENTAL MATHEMATICS
, 1993
"... We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of fixed or free boundary curves in R³, S³ and H³. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented leading ..."
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Cited by 347 (10 self)
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We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of fixed or free boundary curves in R³, S³ and H³. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented
THE ABSTRACT HODGE–DIRAC OPERATOR AND ITS STABLE DISCRETIZATION
"... Abstract. This paper adapts the techniques of finite element exterior calculus to study and discretize the abstract Hodge–Dirac operator, which is a square root of the abstract Hodge–Laplace operator considered by Arnold, Falk, and Winther [Bull. Amer. Math. Soc. 47 (2010), 281–354]. Diractype oper ..."
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Abstract. This paper adapts the techniques of finite element exterior calculus to study and discretize the abstract Hodge–Dirac operator, which is a square root of the abstract Hodge–Laplace operator considered by Arnold, Falk, and Winther [Bull. Amer. Math. Soc. 47 (2010), 281–354]. Dirac
STABLE DISCRETIZATION METHODS WITH EXTERNAL APPROXIMATION SCHEMES
, 1995
"... We investigate the external approximationsolvability of nonlinear equations an upgrade of the external approximation scheme of Schumann and Zeidler [3] in the context of the difference method for quasilinear elliptic differential equations. ..."
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We investigate the external approximationsolvability of nonlinear equations an upgrade of the external approximation scheme of Schumann and Zeidler [3] in the context of the difference method for quasilinear elliptic differential equations.
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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Cited by 506 (2 self)
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strengthened his method so that it applies in all characteristics (SGA 7, ~968) 9 Mumford has also given a proof using theta functions in char. ~2. The result is this: Stable Reduction Theorem. Let R be a discrete valuation ring with quotient field K. Let A be an abelian variety over K. Then there exists a
An asymptotically stable discretization for the EulerPoisson system in the quasineutral limit
"... We are interested in the modeling of a plasma in the quasineutral limit using the EulerPoisson system. When this system is discretized with a standard numerical scheme, it is subject to a severe numerical constraint related to the quasineutrality of the plasma. We propose an asymptotically stable ..."
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stable discretization of this system in the quasineutral limit. We present numerical simulations for two different onedimensional test cases that confirm the expected stability of the scheme in the quasineutral limit. To cite this article: P. Crispel, P. Degond, M.H.
STABLE DISCRETE SERIES CHARACTERS AS LIFTS FROM COMPLEX TWOSTRUCTURE GROUPS
"... Let G ⊂ GC be a connected reductive linear Lie group with a Cartan subgroup B which is compact modulo the center of G. Then G has discrete series representations. Further, since G is linear the characters of discrete series representations can be averaged over the Weyl group to obtain stable discret ..."
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Let G ⊂ GC be a connected reductive linear Lie group with a Cartan subgroup B which is compact modulo the center of G. Then G has discrete series representations. Further, since G is linear the characters of discrete series representations can be averaged over the Weyl group to obtain stable
Results 1  10
of
3,259