233 research outputs found

    Book Review: Class Warfare in the Information Age

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68521/2/10.1177_089443939901700211.pd

    Discussion of ‘Motives for disclosure and nondisclosure: a review of the evidence’

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    We develop a new high order accurate time-integration technique for initial value problems. We focus on problems that originate from a space approximation using high order finite difference methods on summation-by-parts form with weak boundary conditions, and extend that technique to the time-domain. The new time-integration method is global, high order accurate, unconditionally stable and together with the approximation in space, it generates optimally sharp fully discrete energy estimates. In particular, it is shown how stable fully discrete high order accurate approximations of the Maxwells’ equations, the elastic wave equations and the linearized Euler and Navier-Stokes equations can obtained. Even though we focus on finite difference approximations, we stress that the methodology is completely general and suitable for all semi-discrete energy-stable approximations. Numerical experiments show that the new technique is very accurate and has limited order reduction for stiff problems

    Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes

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    We extend the construction of so-called encapsulated global summation-by-parts operators to the general case of a mesh which is not boundary conforming. Owing to this development, energy stable discretizations of nonlinear and variable coefficient initial boundary value problems can be formulated in simple and straightforward ways using high-order accurate operators of generalized summation-by-parts type. Encapsulated features on a single computational block or element may include polynomial bases, tensor products as well as curvilinear coordinate transformations. Moreover, through the use of inner product preserving interpolation or projection, the global summation-by-parts property in extended to arbitrary multi-block or multi-element meshes with non-conforming nodal interfaces

    Latterens logik i Madonnas maskerade

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    Mod en gentænkning af Bachtins teori om den folkelige latterkultu

    Arkitektoniske momenter

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    Etiske og æstetiske refleksioner hos den tidlige Bachti

    Summation-By-Parts Operators for Time Discretisation: Initial Investigations

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    Abstract We develop a new high order accurate time-discretisation technique for initial value problems. We focus on problems that originate from a space discretisation using high order finite difference methods on summation-by-parts form with weak boundary conditions, and extend that technique to the time-domain. The new timediscretisation method is global and together with the approximation in space, it generates optimal fully discrete energy estimates, and efficient methods for both stiff and non-stiff problems. In particular, it is shown how stable fully discrete high order accurate approximations of the Maxwells' equations, the elastic wave equations and the linearised Euler and Navier-Stokes equations are obtained. Even though we focus on finite difference approximations, we stress that the methodology is completely general and suitable for all semi-discrete energy-stable approximations
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