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Titlebook: Wave Motion: Theory, Modelling, and Computation; Proceedings of a Con Alexandre J. Chorin,Andrew J. Majda Conference proceedings 1987 Sprin

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楼主: fallacy
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On the Nonlinearity of Modern Shock-Capturing Schemes,ical schemes. We study the nature of the nonlinearity and examine its relation to upwind differencing. This nonlinearity is essential in the sense that analysis by local linearization is not justified and may even lead to incorrect conclusions; examples to demonstrate this point are given.
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,Lax’s Construction of Parametrices of Fundamental Solutions of Strongly Hyperbolic Operators, its Py initial value problems’. It was one of the first signs that the aera of microlocal analysis was approaching. In this lecture I will try to look at Lax’s paper in the context of what was before and what came after.
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High Frequency Similinear Oscillations,devoted to formal high frequency solutions. We refer to [W], [K-H], [H-M-R], [F-F-McL], and the references therein for more information. Rigorous results asserting that there are exact solutions which behave like the formal ones are much less numerous, [D-M], [T1], and [J] being three from which we have learned much.
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The Curve Shortening Flow,odesic curvature and N the unit normal vector. We review the work of Gage on isoperimetric inequalities, the work of Gage and Hamilton on the associated heat equation and the work of Epstein and Weinstein on the stable manifold theorem for immersed curves. Finally we include a new proof of the Bonne
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,Lax’s Construction of Parametrices of Fundamental Solutions of Strongly Hyperbolic Operators, its Py initial value problems’. It was one of the first signs that the aera of microlocal analysis was approaching. In this lecture I will try to look at Lax’s paper in the context of what was before and what came after.
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