A Practical Guide to Pseudospectral Methods by Bengt Fornberg
Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the subject is presented using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists and engineers interested in applying pseudospectral methods to real problems.-
Algebraic Geometry and Statistical Learning Theory
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Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization
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Kernel-Based Methods
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Infinite-Dimensional Spectral Computations
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Numerical Bifurcation Analysis of Maps
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Collocation Methods for Volterra Integral and Related Functional Differential Equations
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The Mathematical Foundations of Mixing
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Partial Differential Equation Methods for Image Inpainting
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Topology for Computing
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High-Order Methods for Incompressible Fluid Flow
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Generalized Riemann Problems in Computational Fluid Dynamics
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Multivariate Approximation
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Iterative Krylov Methods for Large Linear Systems
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Dynamical Systems and Numerical Analysis
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Volterra Integral Equations
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Scattered Data Approximation
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Greedy Approximation
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A Practical Guide to the Invariant Calculus
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Orthogonal Rational Functions
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Geometry and Topology for Mesh Generation
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Curve and Surface Reconstruction
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The Numerical Solution of Integral Equations of the Second Kind
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Radial Basis Functions
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Spectral Methods for Time-Dependent Problems
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Multiscale Methods for Fredholm Integral Equations
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Differential Equations and Variational Methods on Graphs
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Minimal Cubature Rules
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High-Accuracy Finite Difference Methods
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An Introduction to Immersed Boundary Methods
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Modern Computer Arithmetic
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Matrix Preconditioning Techniques and Applications
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Geometry of the Phase Retrieval Problem
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Quasi-Interpolation
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The Christoffel–Darboux Kernel for Data Analysis
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Difference Equations by Differential Equation Methods
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Learning Theory
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Schwarz-Christoffel Mapping
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Simulating Hamiltonian Dynamics
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Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations
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Discrete Variational Problems with Interfaces
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Spaces of Measures and their Applications to Structured Population Models
'… a useful book for the engineer'H. A. van der Vorst, ITW Nieuws
'Practical indeed … with eight very useful appendices including some Fortran code … The diagrams are excellent and revealing.' Mathematika
' … a most valuable contribution, not only stressing theoretical issues but illuminating practical performance as well.' Monatshefte für Mathematik
'The book is born out of the author's vast experience in the field and we should be indebted to him for making his knowledge available to us in this user-friendly book … I thoroughly enjoyed reading this book and the opportunity to look at pseudospectral methods from a different perspective. I would recommend this book to those interested in pseudospectral methods and those whose research involves solving differential equations using high-order discretization methods.' Proceedings of the Edinburgh Mathematical Society
'Practical indeed … with eight very useful appendices including some Fortran code … The diagrams are excellent and revealing.' Mathematika
' … a most valuable contribution, not only stressing theoretical issues but illuminating practical performance as well.' Monatshefte für Mathematik
'The book is born out of the author's vast experience in the field and we should be indebted to him for making his knowledge available to us in this user-friendly book … I thoroughly enjoyed reading this book and the opportunity to look at pseudospectral methods from a different perspective. I would recommend this book to those interested in pseudospectral methods and those whose research involves solving differential equations using high-order discretization methods.' Proceedings of the Edinburgh Mathematical Society
Fornberg, Bengt: - Bengt Fornberg received his PhD from Uppsala University in Sweden. Following positions at the European Organization for Nuclear Research (CERN), the California Institute of Technology, and Exxon Corporate Research, he has been on the faculty of Applied Mathematics at the University of Colorado Boulder since 1995. His research focus is on numerical methods for solving PDEs and computational methodologies for analytic functions.
| SKU | Unavailable |
| ISBN 13 | 9780521645645 |
| ISBN 10 | 0521645646 |
| Title | A Practical Guide to Pseudospectral Methods |
| Author | Bengt Fornberg |
| Series | Cambridge Monographs On Applied And Computational Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1998-10-28 |
| Number of pages | 244 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |