Scientic Computing
Approximations
Computer Arithmetic
Scientic Computing: An Introductory Survey
Chapter 1 Scientic Computing
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urbana-Champaign
Copyright c 2002. Reproduction p
Eigenvalue Problems
Existence, Uniqueness, and Conditioning
Computing Eigenvalues and Eigenvectors
Scientic Computing: An Introductory Survey
Chapter 4 Eigenvalue Problems
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urb
Least Squares Data Fitting
Existence, Uniqueness, and Conditioning
Solving Linear Least Squares Problems
Scientic Computing: An Introductory Survey
Chapter 3 Linear Least Squares
Prof. Michael T. Heath
Department of Computer Science
University of Illinois
Nonlinear Equations
Numerical Methods in One Dimension
Methods for Systems of Nonlinear Equations
Scientic Computing: An Introductory Survey
Chapter 5 Nonlinear Equations
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urba
Existence, Uniqueness, and Conditioning
Solving Linear Systems
Special Types of Linear Systems
Software for Linear Systems
Scientic Computing: An Introductory Survey
Chapter 2 Systems of Linear Equations
Prof. Michael T. Heath
Department of Computer Scien
Optimization Problems
One-Dimensional Optimization
Multi-Dimensional Optimization
Scientic Computing: An Introductory Survey
Chapter 6 Optimization
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urbana-Champaign
Copyright
Interpolation
Polynomial Interpolation
Piecewise Polynomial Interpolation
Scientic Computing: An Introductory Survey
Chapter 7 Interpolation
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urbana-Champaign
Copyright c 2002.
Numerical Integration
Numerical Differentiation
Richardson Extrapolation
Scientic Computing: An Introductory Survey
Chapter 8 Numerical Integration and Differentiation
Prof. Michael T. Heath
Department of Computer Science
University of Illinois at Urbana-
Ordinary Differential Equations
Numerical Solution of ODEs
Additional Numerical Methods
Scientic Computing: An Introductory Survey
Chapter 9 Initial Value Problems for
Ordinary Differential Equations
Prof. Michael T. Heath
Department of Computer Science
U