Author | Knabner, Peter. author |
---|---|

Title | Numerical Methods for Elliptic and Parabolic Partial Differential Equations [electronic resource] / by Peter Knabner, Lutz Angermann |

Imprint | New York, NY : Springer New York, 2003 |

Connect to | http://dx.doi.org/10.1007/b97419 |

Descript | XVI, 426 p. online resource |

SUMMARY

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs

CONTENT

For Example: Modelling Processes in Porous Media with Differential Equations -- For the Beginning: The Finite Difference Method for the Poisson Equation -- The Finite Element Method for the Poisson Equation -- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order -- Grid Generation and A Posteriori Error Estimation -- Iterative Methods for Systems of Linear Equations -- The Finite Volume Method -- Discretization Methods for Parabolic Initial Boundary Value Problems -- Iterative Methods for Nonlinear Equations -- Discretization Methods for Convection-Dominated Problems

Mathematics
Mathematical analysis
Analysis (Mathematics)
Applied mathematics
Engineering mathematics
Computer mathematics
Numerical analysis
Physics
Mathematics
Numerical Analysis
Analysis
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Numerical and Computational Physics
Appl.Mathematics/Computational Methods of Engineering