Articoli correlati a Numerical Methods in Scientific Computing
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Numerical Methods in Scientific Computing
This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. The aim is to show the place of numerical solutions in the general modeling process, which must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account, especially for validation of the numerical solution obtained.
This book in other words is especially aimed at engineers and scientists who have 'real world' problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background.
Contents:
1 Modeling
2 A Crash Course in PDE's
3 Finite Difference Methods
4 Finite Volume Methods
5 Minimization Problems in Physics
6 The Numerical Solution of Minimization Problems
7 The Weak Formulation and Galerkin's Method
8 Extension of the FEM
9 Solution of large systems of equations
10 The heat- or diffusion equation
11 The wave equation
12 The transport equation
13 Moving boundary problems
http://www.vssd.nl/hlf/a002.htm
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
Jos van Kan (1944) graduated in 1968 from Delft University of Technology, Delft, Netherlands, in Numerical Analysis and has been assistant professor at the Department of Mathematics of that institute ever since. He wrote several articles on Numerical Fuid Mechanics (pressure correction methods) and has written a multigrid pressure solver for the Delft software package to solve the Navier Stokes equations. He has been teaching classes in Numerical Analysis since 1971 and wrote several books on the subject. Guus Segal (1948) graduated in 1971 from Delft University of Technology, Delft, Netherlands, in Numerical Analysis and has been part time assistant professor at the Department of Mathematics of that institute ever since. He is also working in the consultancy and numerical software company SEPRA in Den Haag, The Netherlands. He wrote a number of articles on Finite Element Methods and several articles on curvilinear Finite Volume Methods and Numerical Fluid Mechanics. He has written a book on Finite Element Methods and Navier-Stokes equations. He is the main developer of the finite element package SEPRAN. He has been teaching classes in Numerical Analysis since 1973. Fred Vermolen (1969) graduated in 1993 from Delft University of Technology, Delft, Netherlands. He wrote his PhD-thesis supervised by the promotores prof Pieter Wesseling (Numerical Analysis) and prof Sybrand van der Zwaag (Materials Science). He wrote several articles on Stefan problems and transport in porous media. His present interest is in mathematical issues in medicine. He has been teaching courses in Numerical Analysis since 2002.
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Numerical Methods in Scientific Computing
This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. The aim is to show the place of numerical solutions in the general modeling process, which must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account, especially for validation of the numerical solution obtained.
This book in other words is especially aimed at engineers and scientists who have 'real world' problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background.
Contents:
1 Modeling
2 A Crash Course in PDE's
3 Finite Difference Methods
4 Finite Volume Methods
5 Minimization Problems in Physics
6 The Numerical Solution of Minimization Problems
7 The Weak Formulation and Galerkin's Method
8 Extension of the FEM
9 Solution of large systems of equations
10 The heat- or diffusion equation
11 The wave equation
12 The transport equation
13 Moving boundary problems
http://www.vssd.nl/hlf/a002.htm
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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