Tapan SenguptaHigh Accuracy Computing Methods
Fluid Flows and Wave Phenomena
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.
