High accuracy computing methods : fluid flows and wave phenomena
/ Tapan K. Sengupta
- New Delhi : Cambridge University Press, 2015
- xix, 569 p.
Basic ideas of scientific computing ; governing equations in fluid mechanics ; classification of quasi-linear partial differential equation ; waves and space-time dependence in computing ; spatial and temporal discretization of partial differential equations ; solution methods for parabolic partial differential equations ; solution methods for elliptic partial differential equations ; solution of Hyperbolic PDEs : signal and error propagation ; cuvilinear coordinate and grid generation ; spectral analysis of numerical schemes and aliasing error ; higher accuracy methods ; introduction to finite volume and finite element methods ; solutions of navier stokes equation ; recent development in discrete finite difference computing