Roos / Stynes / Tobiska Robust Numerical Methods for Singularly Perturbed Differential Equations
2. Auflage 2008
ISBN: 978-3-540-34467-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Convection-Diffusion-Reaction and Flow Problems
E-Book, Englisch, 604 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-3-540-34467-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Beginning with ordinary differential equations, then moving on to parabolic and elliptic problems and culminating with the Navier-Stokes equations, the reader is led through the theoretical and practical aspects of the most important methods used to compute numerical solutions for singular perturbation problems.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Ordinary Differential Equations.- The Analytical Behaviour of Solutions.- Numerical Methods for Second-Order Boundary Value Problems.- Parabolic Initial-Boundary Value Problems in One Space Dimension.- Analytical Behaviour of Solutions.- Finite Difference Methods.- Finite Element Methods.- Two Adaptive Methods.- Elliptic and Parabolic Problems in Several Space Dimensions.- Analytical Behaviour of Solutions.- Finite Difference Methods.- Finite Element Methods.- Time-Dependent Problems.- The Incompressible Navier-Stokes Equations.- Existence and Uniqueness Results.- Upwind Finite Element Method.- Higher-Order Methods of Streamline Diffusion Type.- Local Projection Stabilization for Equal-Order Interpolation.- Local Projection Method for Inf-Sup Stable Elements.- Mass Conservation for Coupled Flow-Transport Problems.- Adaptive Error Control.
