Title | Oscillation Theory, Computation, and Methods of Compensated Compactness [electronic resource] / edited by Constantine Dafermos, J. L. Ericksen, David Kinderlehrer, Marshall Slemrod |
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Imprint | New York, NY : Springer New York, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8689-6 |
Descript | 395p. online resource |
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