Computational Science and Engineering

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Hardcover | 1 November 2007

At a Glance

Hardcover
750 Pages

Dimensions(cm)
26.0 x 19.8 x 3.7

Hardcover

$252.75

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Encompasses the full range of computational science and engineering from modelling to solution, both analytical and numerical. It develops a framework for the equations and numerical methods of applied mathematics. Gilbert Strang has taught this material to thousands of engineers and scientists (and many more on MIT''s OpenCourseWare 18.085-6). His experience is seen in his clear explanations, wide range of examples, and teaching method. The book is solution-based and not formula-based: it integrates analysis and algorithms and MATLAB codes to explain each topic as effectively as possible. The topics include applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis and optimization. This book also serves as a reference for the whole community of computational scientists and engineers. Supporting resources, including MATLAB codes, problem solutions and video lectures from Gilbert Strang''s 18.085 courses at MIT, are provided at math.mit.edu/cse.

Industry Reviews

'Gil Strang has given the discipline of computational science and engineering its first testament in this new and comprehensive book. It surely extends Gil's long tradition of practical, wide-ranging, and insightful books that are invaluable for students, teachers, and researchers alike. If you could have only one book on a desert island, this might be it.' William Briggs, Professor of Mathematics at University of Colorado at Denver, and SIAM Vice-President for Education

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Applied Linear Algebra
Four special matrices
Differences, derivatives, and boundary conditions
Elimination leads to K = LDL^T
Inverses and delta functions
Eigenvalues and eigenvectors
Positive definite matrices
Numerical linear algebra: LU, QR, SVD
Best basis from the SVD
A Framework for Applied Mathematics
Equilibrium and the stiffness matrix
Oscillation by Newton's law
Least squares for rectangular matrices
Graph models and Kirchhoff's laws
Networks and transfer functions
Nonlinear problems
Structures in equilibrium
Covariances and recursive least squares
Graph cuts and gene clustering
Boundary Value Problems
Differential equations of equilibrium
Cubic splines and fourth order equations
Gradient and divergence
Laplace's equation
Finite differences and fast Poisson solvers
The finite element method
Elasticity and solid mechanics
Fourier Series and Integrals
Fourier series for periodic functions
Chebyshev, Legendre, and Bessel
The discrete Fourier transform and the FFT
Convolution and signal processing
Fourier integrals
Deconvolution and integral equations
Wavelets and signal processing
Analytic Functions
Taylor series and complex integration
Famous functions and great theorems
The Laplace transform and z-transform
Spectral methods of exponential accuracy
Initial Value Problems
Introduction
Finite difference methods for ODEs
Accuracy and stability for u_t = c u_x
The wave equation and staggered leapfrog
Diffusion, convection, and finance
Nonlinear flow and conservation laws
Fluid mechanics and Navier-Stokes
Level sets and fast marching
Solving Large Systems
Elimination with reordering
Iterative methods
Multigrid methods
Conjugate gradients and Krylov subspaces
Optimization and Minimum Principles
Two fundamental examples
Regularized least squares
Calculus of variations
Errors in projections and eigenvalues
The Saddle Point Stokes problem
Linear programming and duality
Adjoint methods in design
Table of Contents provided by Publisher. All Rights Reserved.

Computational Science and Engineering

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Modelling

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Advances in High-Order Sensitivity Analysis

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Guidance and Control of Unmanned Vehicles

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Oxford Series on Materials Modelling

Mathematical Concepts in Single-Neuron Dynamics

The Mathematical Concepts in Science Series

Fuzzy Sets and Triangular Norms

Aggregation in Decision-Aided Intelligent Systems

Dynamic Characteristics of Layered Structures: Mathematical Modelling, and Numerical Simulations

Mathematical Modelling, and Numerical Simulations

Quantitative Biology

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Artificial Intelligence Techniques in Mathematical Modeling and Optimization

Intelligent Data-Driven Systems and Artificial Intelligence

Mathematical Modelling Techniques

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Mathematical Modelling Techniques

Life Lessons from Game Theory

The Art of Thinking Strategically in a Complex World

Foundations of Mathematical Modeling and Analysis in Engineering

Mathematical Concepts and Methods in Modern Biology

Using Modern Discrete Models

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