Overview

Highly computer-oriented text, introducing numerical methods and algorithms along with the applications and conceptual tools. Includes homework problems, suggestions for research projects, and open-ended questions at the end of each chapter. Written by our successful author who also wrote Continuous System Modeling, a best-selling Springer book first published in the 1991 (sold about 1500 copies).

Full Product Details

Author:   François E. Cellier ,  Ernesto Kofman
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2006
Dimensions:   Width: 15.50cm , Height: 3.40cm , Length: 23.50cm
Weight:   1.015kg
ISBN:  

9781441938633

ISBN 10:   144193863
Pages:   644
Publication Date:   29 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction, Scope, Definitions.- Modeling and Simulation: A Circuit Example.- Modeling vs. Simulation.- Time and Again.- Simulation as a Problem Solving Tool.- Simulation Software: Today and Tomorrow.- Basic Principles of Numerical Integration.- Introduction.- The Approximation Accuracy.- Euler Integration.- The Domain of Numerical Stability.- The Newton Iteration.- Semi–analytic Algorithms.- Spectral Algorithms.- Single–step Integration Methods.- Introduction.- Runge–Kutta Algorithms.- Stability Domains of RK Algorithms.- Stiff Systems.- Extrapolation Techniques.- Marginally Stable Systems.- Backinterpolation Methods.- Accuracy Considerations.- Step–size and Order Control.- Multi–step Integration Methods.- Introduction.- Newton–Gregory Polynomials.- Numerical Integration Through Polynomial Extrapolation.- Explicit Adams–Bashforth Formulae.- Implicit Adams–Moulton Formulae.- Adams–Bashforth–Moulton Predictor–Corrector Formulae.- Backward Difference Formulae.- Nyström and Milne Algorithms.- In Search for Stiffly–stable Methods.- High–order Backward Difference Formulae.- Newton Iteration.- Step–size and Order Control.- The Startup Problem.- The Readout Problem.- Second Derivative Systems.- Introduction.- Conversion of Second–derivative Models to State–space Form.- Velocity–free Models.- Linear Velocity Models.- Nonlinear Velocity Models.- Stability and Damping of Godunov Scheme.- Explicit and Implicit Godunov Algorithms of Different Orders.- The Newmark Algorithm.- Partial Differential Equations.- Introduction.- The Method of Lines.- Parabolic PDEs.- Hyperbolic PDEs.- Shock Waves.- Upwind Discretization.- Grid–width Control.- PDEs in Multiple Space Dimensions.- Elliptic PDEs and Invariant Embedding.- Finite Element Approximations.-Differential AlgebraicEquations.- Introduction.- Causalization of Equations.- Algebraic Loops.- The Tearing Algorithm.- The Relaxation Algorithm.- Structural Singularities.- Structural Singularity Elimination.- The Solvability Issue.- Differential Algebraic Equation Solvers.- Introduction.- Multi-step Formulae.- Single–step Formulae.- DASSL.- Inline Integration.- Inlining Implicit Runge–Kutta Algorithms.- Stiffly Stable Step–size Control of Radau IIA.- Stiffly Stable Step–size Control of Lobatto IIIC.- Inlining Partial Differential Equations.- Overdetermined DAEs.- Electronic Circuit Simulators.- Multibody System Dynamics Simulators.- Chemical Process Dynamics Simulators.- Simulation of Discontinuous Systems.- Introduction.- Basic Difficulties.- Time Events.- Simulation of Sampled–data Systems.- State Events (1. Multiple Zero Crossings, 2. Single Zero Crossings, Single–step Algorithms, 3. Single Zero Crossings, Multi-step Algorithms, 4. Non–essential State Events).- Consistent Initial Conditions.- Object–oriented Descriptions of Discontinuities ( 1. The Computational Causality of if–Statements, 2. Multi–valued Functions).- The Switch Equation.- Ideal Diodes and Parameterized Curve Descriptions.- Variable Structure Models.- Mixed–mode Integration.- State Transition Diagrams.- Petri Nets.- Real–time Simulation.- Introduction.- The Race Against Time.- Suitable Numerical Integration Methods.- Linearly Implicit Methods.- Multi–rate Integration.- Inline Integration.- Mixed–mode Integration.- Discontinuous Systems.- Simulation Architecture.- Overruns.- Discrete Event Simulation.- Introduction.- Space Discretization: A Simple Example.- Discrete Event Systems and DEVS.- Coupled DEVS Models.- Simulation of DEVS Models.- DEVS and Continuous SystemsSimulation.- Quantized State Systems.- Quantization-based Integration.- Introduction.-

Reviews

From the reviews: ""This is a graduate-level textbook, a sequel to continuous system modeling … . The text provides a plentiful number of exercises and projects at various levels of difficulty. Each chapter has a carefully selected list of references."" (William J. Satzer jun, Zentralblatt MATH, Vol. 1112 (8), 2007)

From the reviews: This is a graduate-level textbook, a sequel to continuous system modeling ! . The text provides a plentiful number of exercises and projects at various levels of difficulty. Each chapter has a carefully selected list of references. (William J. Satzer jun, Zentralblatt MATH, Vol. 1112 (8), 2007)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions