Ebook: Oscillation Theory, Computation, and Methods of Compensated Compactness

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Content:
Front Matter....Pages i-ix
Convection of Microstructures by Incompressible and Slightly Compressible Flows....Pages 1-22
Oscillations in Solutions to Nonlinear Differential Equations....Pages 23-33
Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation....Pages 35-69
On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes....Pages 71-105
On the Weak Convergence of Dispersive Difference Schemes....Pages 107-113
Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws....Pages 115-165
On the Construction of a Modulating Multiphase Wavetrain for a Perturbed Kdv Equation....Pages 167-195
Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics....Pages 197-228
Very High Order Accurate TVD Schemes....Pages 229-274
Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants....Pages 275-288
Applications of the Theory of Compensated Compactness....Pages 289-294
A General Study of a Commutation Relation Given by L. Tartar....Pages 295-307
Interrelationships among Mechanics Numerical Analysis, Compensated Compactness, and Oscillation Theory....Pages 309-336
The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data....Pages 337-355
Stability of Finite-Difference Approximations for Hyperbolic Initial-Boundary-Value Problems....Pages 357-379
Construction of a Class of Symmetric TVD Schemes....Pages 381-395
Back Matter....Pages 397-402

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Content:
Front Matter....Pages i-ix
Convection of Microstructures by Incompressible and Slightly Compressible Flows....Pages 1-22
Oscillations in Solutions to Nonlinear Differential Equations....Pages 23-33
Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation....Pages 35-69
On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes....Pages 71-105
On the Weak Convergence of Dispersive Difference Schemes....Pages 107-113
Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws....Pages 115-165
On the Construction of a Modulating Multiphase Wavetrain for a Perturbed Kdv Equation....Pages 167-195
Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics....Pages 197-228
Very High Order Accurate TVD Schemes....Pages 229-274
Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants....Pages 275-288
Applications of the Theory of Compensated Compactness....Pages 289-294
A General Study of a Commutation Relation Given by L. Tartar....Pages 295-307
Interrelationships among Mechanics Numerical Analysis, Compensated Compactness, and Oscillation Theory....Pages 309-336
The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data....Pages 337-355
Stability of Finite-Difference Approximations for Hyperbolic Initial-Boundary-Value Problems....Pages 357-379
Construction of a Class of Symmetric TVD Schemes....Pages 381-395
Back Matter....Pages 397-402
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