Fundamentals and Linear Algebra for the Chemical Engineer

Fundamentals and Linear Algebra for the Chemical Engineer

By: Flavio Manenti (author), Guido Buzzi-Ferraris (author)Hardback

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Description

A practical engineer's companion to using numerical methods for the solution of complex mathematical problems. It thus enables readers to use and implement standard numerical tools in their work, explaining the theory behind the various functions and problem solvers, while showcasing applications in diverse scientific and engineering fields. The material is based on several tried-and-tested courses for scientists and engineers taught by the authors, and all the exercises and problems are classroom-tested. The required software is freeware developed and maintained by the authors, included on the accompanying CD-ROM, together with an installation tutorial, all the examples and sample codes described in the book, as well as a host of additional examples.

About Author

Guido Buzzi-Ferraris is full professor of process systems engineering at Politecnico die Milano, Italy, where he holds two courses: "Methods and Numerical Applications in Chemical Engineering" and "Regression Models and Statistics". He works on numerical analysis, statistics, differential systems, and optimization. He has authored books of international relevance on numerical analysis, such as "Scientific C++" edited by Addison-Wesley, and over than 200 papers on international magazines. He is the inventor and the developer of BzzMath library, which is currently adopted by academies, R&D groups, and industries. He is permanent member of the "EFCE Working Party - Computer Aided Process Engineering" since 1969 and editorial advisory board of "Computers & Chemical Engineering" since 1987. Flavio Manenti is assistant professor of process systems engineering at Politecnico di Milano, Italy. He obtained his academic degree and PhD at Politecnico di Milano, where he currently collaborates with Professor Buzzi-Ferraris. He holds courses on "Process Dynamics and Control of Industrial Processes" and "Supply Chain Optimization" and he works on numerical analysis, process control and optimization. He has also received international scientific awards, such as Memorial Burianec (Prague, CZ) and Excellence in Simulation (Lake Forest, CA, USA), for his research activities and scientific publications.

Contents

Preface BASIC CONCEPTS Introduction Modeling Physical Phenomena Number Representation on the Computer Elementary Operations Error Sources Error Propagation Decision-Making for an Optimal Program Selection of Programming Languages: Why C++? SOME UTILITIES IN THE BzzMATH LIBRARY Introduction Messages and Printing Save and Load Integer Algebra BzzVevtorIntArray and BzzVectorArray BzzMatrixCoefficientsExistence BzzMatrixExistence BzzSymmetricMatrixCoefficientsExistence Complex Numbers Miscellaneous Utilities BzzPlot.exe and BzzPlotSparse.exe LINEAR ALGEBRA Introduction Classes for Linear Algebra BzzVector Class BzzMatrix Class Vector and Matrix Norms Structured Matrices Sparse Unstructured Matrices Symmetric Matrices Linear Algebra Operations SQUARE LINEAR SYSTEMS Introduction Gauss Elimination Gauss Transformation Classical Gauss Factorization Alternative Methods Conditioning of Linear Systems Best Pivot Selection Solution Features Class for Linear System Solution Condition Number Computation Determinant Evaluation Inverse Matrix Sparse Matrices Classes for Linear System Solution with Sparse Unstructured Matrices STRUCTURED LINEAR SYSTEMS Introduction Symmetric Matrices Symmetric Sparse Matrices Band Matrices Diagonal Block Matrices Iterative Methods Systems Generated by Special Physical Problems OVERDIMENSIONED LINEAR SYSTEMS Introduction Orthogonal Matrices Problem Conditioning Method of Least Squares Orthogonal Transformation QR Factorization Classes for QRT Factorization SVC Factorization Class for SVD Factorization Advantages of SVD Factorization UNDERDIMENSIONED LINEAR SYSTEMS Introduction LQ Factorization Classes for LQ Factorization Null Space Minimization with Linear Constraints Minimizing a Sum of Squares Subject to Linear Constraints Special Problems Solved by LQ Factorization EIGENVALUES AND EIGENVECTORS FOR SYMMETRIC MATRICES Introduction Eigenvalues of Symmetric Matrices Power Method Inverse Power Method Inverse-Translate Power Method Jacobi Method QR Algorithm Eigenvalues of Rank-2 Matrices ITERATIVE PROCESSES Introduction Convergence of an Iterative Algorithm Convergence Speed Convergence Accelerators Extrapolation Extrapolation Methods Class for Numerical Derivation APPENDIX A: Matrix Product APPENDIX B: Entertainment APPENDIX C: Basic Requirements for Using the BzzMath Library APPENDIX D: Copyrights

Product Details

  • ISBN13: 9783527325528
  • Format: Hardback
  • Number Of Pages: 375
  • ID: 9783527325528
  • weight: 844
  • ISBN10: 3527325522

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