1  6
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1  6
Number of results to display per page
 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
 Course
 CME10801  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
 Course
 CME10801  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
 Course
 CME10801  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
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Bradie, Brian.
 Upper Saddle River, NJ : Pearson Prentice Hall, c2006.
 Description
 Book — 933 p. ; 24 cm
 Summary

 (NOTE: Each chapter begins with An Overview.)
 1. Getting Started. Algorithms. Convergence. Floating Point Numbers. Floating Point Arithmetic.
 2. Rootfinding. Bisection Method. Method of False Position. Fixed Point Iteration. Newton's Method. The Secant Method and Muller's Method. Accelerating Convergence. Roots of Polynomials.
 3. Systems of Equations. Gaussian Elimination. Pivoting Strategies. Norms. Error Estimates. LU Decomposition. Direct Factorization. Special Matrices. Iterative Techniques for Linear Systems: Basic Concepts and Methods. Iterative Techniques for Linear Systems: ConjugateGradient Method. Nonlinear Systems.
 4. Eigenvalues and Eigenvectors. The Power Method. The Inverse Power Method. Deflation. Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices.
 5. Interpolation and Curve Fitting. Lagrange Form of the Interpolating Polynomial. Neville's Algorithm. The Newton Form of the Interpolating Polynomial and Divided Differences. Optimal Interpolating Points. Piecewise Linear Interpolation. Hermite and Hermite Cubic Interpolation. Regression.
 6. Numerical Differentiation and Integration. Continuous Theory and Key Numerical Concepts. Euler's Method. HigherOrder OneStep Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and HigherOrder Equations. Absolute Stability and Stiff Equations.
 7. Numerical Methods for Initial Value Problems of Ordinary Differential Equations. Continuous Theory and Key Numerical Concepts. Euler's Method. HigherOrder OneStep Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and HigherOrder Equations. Absolute Stability and Stiff Equations.
 8. SecondOrder OneDimensional TwoPoint Boundary Value Problems. Finite Difference Method, Part I: The Linear Problem with Dirichlet Boundary Conditions. Finite Difference Method, Part II: The Linear Problem with NonDirichlet Boundary Conditions. Finite Difference Method, Part III: Nonlinear Problems. The Shooting Method, Part I: Linear Boundary Value Problems. The Shooting Method, Part II: Nonlinear Boundary Value Problems.
 9. Finite Difference Method for Elliptic Partial Differential Equations. The Poisson Equation on a Rectangular Domain, I: Dirichlet Boundary Conditions. The Poisson Equation on a Rectangular Domain, II: NonDirichlet Boundary Conditions. Solving the Discrete Equations: Relaxation Schemes. Local Mode Analysis of Relaxation and the Multigrid Method. Irregular Domains.
 10. Finite Difference Method for Parabolic Partial Differential Equations. The Heat Equation with Dirichlet Boundary Conditions. Stability. More General Parabolic Equations. NonDirichlet Boundary Conditions. Polar Coordinates. Problems in Two Space Dimensions.
 11. Finite Difference Method for Hyperbolic Partial Differential Equations and the ConvectionDiffusion Equation. Advection Equation, I: Upwind Differencing. Advection Equation, II: MacCormack Method. ConvectionDiffusion Equation. The Wave Equation. Appendices. Appendix A. Important Theorems from Calculus. Appendix B. Algorithm for Solving a Tridiagonal System of Linear Equations. References. Index. Answers to Selected Problems.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
QA297 .B72 2006  Unknown 2hour loan 
CME10801
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M
 Heath, Michael T.
 2nd ed.  Boston : McGraw Hill, c2002.
 Description
 Book — xii, 563 p. : ill. ; 25 cm.
 Summary

 1 Scientific Computing2 Systems of Linear Equations3 Linear Least Squares4 Eigenvalues Problems5 Nonlinear Equations6 Optimization7 Interpolation8 Numerical Integration and Differentiation9 Initial Value Problems for ODEs10 Boundary Value Problems for ODEs11 Partial Differential Equations12 Fast Fourier Transform13 Random Numbers and Simulation.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Engineering Library (Terman)
Engineering Library (Terman)  Status 

On reserve: Ask at circulation desk  
Q183.9 .H4 2002  Unknown 2hour loan 
Q183.9 .H4 2002  Unknown 2hour loan 
Q183.9 .H4 2002  Unknown 2hour loan 
CME10801
 Course
 CME10801  Introduction to Scientific Computing
 Instructor(s)
 Dunham, Eric M