High Accuracy Computing Methods : Fluid Flows and Wave Phenomena (Hardcover)

Foreword; Preface; 1. Introduction to scientific computing; 2. Governing equations of fluid mechanics; 3. Classification of quasi-linear partial differential equations; 4. Waves and space-time dependence in computing; 5. Spatial and temporal discretizations of partial differential equations; 6. Solution methods for parabolic partial differential equations; 7. Solution methods for elliptic partial differential equations; 8. Solution of hyperbolic PDEs: signal and error propagation; 9. Curvilinear coordinates and grid generation; 10. Spectral analysis of numerical schemes and aliasing error; 11. Higher accuracy and higher order methods; 12. Introduction to finite volume and finite element methods; 13. Solution of Navier?Stokes equations; 14. Recent developments in discrete computing; Exercises; References.