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 Heath, Michael T., author.
 Second edition, SIAM edition  Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2018]
 Description
 Book — 1 PDF (xx, 567 pages)
 Summary

 Notation
 Scientific computing
 Systems of linear equations
 Linear least squares
 Eigenvalue problems
 Nonlinear equations
 Optimization
 Interpolation
 Numerical integration and differentiation
 Initial value problems for ODEs
 Boundary value problems for ODEs
 Partial differential equations
 Fast fourier transform
 Random numbers and simulations
(source: Nielsen Book Data)
CME10801, MATH11401
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Course
 MATH11401  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
2. Numerical analysis [2016]
 Burden, Richard L., author.
 Tenth edition.  Boston, MA : Cengage Learning, [2016]
 Description
 Book — xvi, 896 pages : illustrations (some color) ; 26 cm
 Summary

 1. MATHEMATICAL PRELIMINARIES AND ERROR ANALYSIS. Review of Calculus. Roundoff Errors and Computer Arithmetic. Algorithms and Convergence. Numerical Software and Chapter Summary.
 2. SOLUTIONS OF EQUATIONS IN ONE VARIABLE. The Bisection Method. FixedPoint Iteration. Newton's Method and Its Extensions. Error Analysis for Iterative Methods. Accelerating Convergence. Zeros of Polynomials and Muller's Method. Numerical Software and Chapter Summary.
 3. INTERPOLATION AND POLYNOMIAL APPROXIMATION. Interpolation and the Lagrange Polynomial. Data Approximation and Neville's Method. Divided Differences. Hermite Interpolation. Cubic Spline Interpolation. Parametric Curves. Numerical Software and Chapter Summary.
 4. NUMERICAL DIFFERENTIATION AND INTEGRATION. Numerical Differentiation. Richardson's Extrapolation. Elements of Numerical Integration. Composite Numerical Integration. Romberg Integration. Adaptive Quadrature Methods. Gaussian Quadrature. Multiple Integrals. Improper Integrals. Numerical Software and Chapter Summary.
 5. INITIALVALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. The Elementary Theory of InitialValue Problems. Euler's Method. HigherOrder Taylor Methods. RungeKutta Methods. Error Control and the RungeKuttaFehlberg Method. Multistep Methods. Variable StepSize Multistep Methods. Extrapolation Methods. HigherOrder Equations and Systems of Differential Equations. Stability. Stiff Differential Equations. Numerical Software and Chapter Summary.
 6. DIRECT METHODS FOR SOLVING LINEAR SYSTEMS. Linear Systems of Equations. Pivoting Strategies. Linear Algebra and Matrix Inversion. The Determinant of a Matrix. Matrix Factorization. Special Types of Matrices. Numerical Software and Chapter Summary.
 7. ITERATIVE TECHNIQUES IN MATRIX ALGEBRA. Norms of Vectors and Matrices. Eigenvalues and Eigenvectors. The Jacobi and GaussSiedel Iterative Techniques. Relaxation Techniques for Solving Linear Systems. Error Bounds and Iterative Refinement. The Conjugate Gradient Method. Numerical Software and Chapter Summary.
 8. APPROXIMATION THEORY. Discrete Least Squares Approximation. Orthogonal Polynomials and Least Squares Approximation. Chebyshev Polynomials and Economization of Power Series. Rational Function Approximation. Trigonometric Polynomial Approximation. Fast Fourier Transforms. Numerical Software and Chapter Summary.
 9. APPROXIMATING EIGENVALUES. Linear Algebra and Eigenvalues. Orthogonal Matrices and Similarity Transformations. The Power Method. Householder's Method. The QR Algorithm. Singular Value Decomposition. Numerical Software and Chapter Summary.
 10. NUMERICAL SOLUTIONS OF NONLINEAR SYSTEMS OF EQUATIONS. Fixed Points for Functions of Several Variables. Newton's Method. QuasiNewton Methods. Steepest Descent Techniques. Homotopy and Continuation Methods. Numerical Software and Chapter Summary.
 11. BOUNDARYVALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS. The Linear Shooting Method. The Shooting Method for Nonlinear Problems. FiniteDifference Methods for Linear Problems. FiniteDifference Methods for Nonlinear Problems. The RayleighRitz Method. Numerical Software and Chapter Summary.
 12. NUMERICAL SOLUTIONS TO PARTIAL DIFFERENTIAL EQUATIONS. Elliptic Partial Differential Equations. Parabolic Partial Differential Equations. Hyperbolic Partial Differential Equations. An Introduction to the FiniteElement Method. Numerical Software and Chapter Summary. Bibliography. Answers to Selected Exercises.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA297 .B84 2016  Unknown 2hour loan 
CME10801, MATH11401
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Course
 MATH11401  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
3. A first course in numerical methods [2011]
 Ascher, U. M. (Uri M.), 1946
 Philadelphia : Society for Industrial and Applied Mathematics, c2011.
 Description
 Book — xxii, 552 p. : ill. (some col.) ; 26 cm.
 Summary

 Numerical algorithms
 Roundoff errors
 Nonlinear equations in one variable
 Linear algebra background
 Linear systems : direct methods
 Linear least squares problems
 Linear systems : iterative methods
 Eigenvalues and singular values
 Nonlinear systems and optimization
 Polynomial interpolation
 Piecewise polynomial interpolation
 Best approximation
 Fourier transform
 Numerical differentiation
 Numerical integration
 Differential equations.
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA297 .A748 2011  Unknown 2hour loan 
CME10801, MATH11401
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Course
 MATH11401  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
4. A first course in numerical methods [2011]
 Ascher, U. M. (Uri M.), 1946 author.
 Philadelphia : SIAM, Society for Industrial and Applied Mathematics, [2011]
 Description
 Book — 1 online resource (xxii, 552 pages) : illustrations (some color).
 Summary

 Numerical algorithms
 Roundoff errors
 Nonlinear equations in one variable
 Linear algebra background
 Linear systems: direct methods
 Linear least squares problems
 Linear systems : iterative methods
 Eigenvalues and singular values
 Nonlinear systems and optimization
 Polynomial interpolation
 Piecewise polynomial interpolation
 Best approximation
 Fourier Transform
 Numerical differentiation
 Numerical integration
 Differential equations.
 Online
CME10801, MATH11401
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Course
 MATH11401  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M