Titlebook: Oscillation Theory, Computation, and Methods of Compensated Compactness; Constantine Dafermos,J. L. Ericksen,Marshall Slemr Conference pro

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On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes,his reconstruction problem we introduce a new interpolation technique that when applied to piecewise smooth data gives high-order accuracy wherever the function is smooth but avoids having a Gibbs-phenomenon at discontinuities.

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Interrelationships among Mechanics Numerical Analysis, Compensated Compactness, and Oscillation Thee regularization parameters vanish has been a long standing problem and it seems that major progress has been made on this question recently (indeed by several of the participants of this I.M.A. workshop).

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Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics, be oscillatory and may become unstable in a given region. These types of solutions are currently receiving considerable attention and new, more sophisticated analysis techniques are required in order to discover the properties of these solutions.