Oscillation Theory, Computation, and Methods of Compensated Compactness

Oscillation Theory, Computation, and Methods of Compensated Compactness

Paperback(Softcover reprint of the original 1st ed. 1986)

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Product Details

ISBN-13: 9781461386919
Publisher: Springer New York
Publication date: 11/08/2011
Series: The IMA Volumes in Mathematics and its Applications , #2
Edition description: Softcover reprint of the original 1st ed. 1986
Pages: 395
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Convection of Microstructures by Incompressible and Slightly Compressible Flows.- Oscillations in Solutions to Nonlinear Differential Equations.- Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation.- On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes.- On the Weak Convergence of Dispersive Difference Schemes.- Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws.- On the Construction of a Modulating Multiphase Wavetrain for a Perturbed KdV Equation.- Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics.- Very High Order Accurate TVD Schemes.- Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants.- Applications of the Theory of Compensated Compactness.- A General Study of a Commutation Relation given by L. Tartar.- Interrelationships among Mechanics, Numerical Analysis, Compensated Compactness, and Oscillation Theory.- The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data.- Stability of Finite-Difference Approximations for Hyperbolic Initial-Boundary-Value Problems.- Construction of a Class of Symmetric TVD Schemes.- Information About Other Volumes in this Program.

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