The IMA Volumes in Mathematics and its Applications
Series Part/Volume Number
Place of Publication
New York, NY
Country of Publication
Springer-Verlag New York Inc.
Constantine M. Dafermos, David Kinderlehrer, J. L. Ericksen, Marshall Slemrod
Softcover reprint of the original 1st ed. 1986
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.