## Oscillation theory, computation, and methods of compensated compactness |

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### Contents

Oscillations in Solutions to Nonlinear Differential Equations | 23 |

On HighOrder Accurate Interpolation for NonOscillatory Shock Capturing | 71 |

On the Weak Convergence of Dispersive Difference Schemes | 107 |

Copyright | |

9 other sections not shown

### Other editions - View all

Oscillation Theory, Computation, and Methods of Compensated Compactness C. Dafermos,J. L. Ericksen,D. Kinderlehrer No preview available - 1986 |

### Common terms and phrases

accuracy algebraic algorithm analysis ansatz apply approximation asymptotic averaged conservation laws behavior boundary conditions Burgers equation calculations Cauchy problem coefficients compensated compactness compressible computed conjecture conservation laws consider constant convergence corresponding defined denote derivatives describe detonation DiPerna discrete IBVP dissipation double points eigenvalues entropy example explicit finite difference flow fluid flux limiters formal function geometric optics given hyperbolic system initial data initial value problem instability integral interval kdV equation Lax-Richtmyer stability Lax-Wendroff scheme Lemma linear Math Mathematics matrix McLaughlin method modulation equations N-phase nitromethane norm numerical flux numerical solution obtain order accurate oscillations Osher parameter partial differential equations periodic perturbation phase phase wave reaction resonant Riemann satisfies second-order sequence shock smooth space spatial spectral radius systems of conservation Theorem theory timestep tions TVD schemes variables variation viscosity wavetrains weak limit weak solutions weakly nonlinear Young measure zero