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p- and hp- Finite Element Methods
This book is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics, and is suitable for graduate …
The Lattice Boltzmann Equation
In recent years, stylized forms of the Boltzmann equation, now going by the name of "Lattice Boltzmann equation" (LBE), have emerged, which relinquish most mathematical …
Moving Finite Elements
This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid …
Finite Element Methods for Maxwell's Equations
Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important …
Constructive Approximation on the Sphere
The subject of geomathematics focuses on the interpretation and classification of data from geoscientific and satellite sources, reducing information to a comprehensible form and …
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
This comprehensive text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis laid on the magnetohydrodynamics of …
Curve and Surface Fitting with Splines
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many …
The Algebraic Eigenvalue Problem
This is a new paperback edition of probably the most important and widely read text on numerical analysis. It is the distillation of what the author learnt about the computation of …
Parallel and Sequential Methods for Ordinary Differential Equations
This book presents an up-to-date exposition of the current `state of the art' of numerical methods for solving ordinary differential equations in a parallel computing environment. …
Numerical Methods for Delay Differential Equations
The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences …