BRIAN BRADIE A FRIENDLY INTRODUCTION TO NUMERICAL ANALYSIS PDF

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Skip to search Skip to main content. Reporting from:. Your name. Your email. Send Cancel. Check system status. Toggle navigation Menu. Name of resource. Problem URL. Describe the connection issue. SearchWorks Catalog Stanford Libraries. A friendly introduction to numerical analysis. Responsibility Brian Bradie. Physical description p.

Available online. Full view. Science Library Li and Ma. B72 Unknown. More options. Find it at other libraries via WorldCat Limited preview. Bibliography Includes bibliographical references and index. Getting Started. Floating Point Numbers. Floating Point Arithmetic.

Bisection Method. Method of False Position. Fixed Point Iteration. Newton's Method. The Secant Method and Muller's Method. Accelerating Convergence.

Roots of Polynomials. Systems of Equations. Gaussian Elimination. Pivoting Strategies. Error Estimates. LU Decomposition. Direct Factorization. Special Matrices. Nonlinear Systems. Eigenvalues and Eigenvectors. The Power Method. The Inverse Power Method.

Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices. Interpolation and Curve Fitting. Lagrange Form of the Interpolating Polynomial. Neville's Algorithm. Optimal Interpolating Points. Piecewise Linear Interpolation. Hermite and Hermite Cubic Interpolation. Numerical Differentiation and Integration. Continuous Theory and Key Numerical Concepts. Euler's Method. Higher-Order One-Step Methods. Multistep Methods. Convergence Analysis. Systems of Equations and Higher-Order Equations.

Absolute Stability and Stiff Equations. Solving the Discrete Equations: Relaxation Schemes. Irregular Domains. More General Parabolic Equations. Non-Dirichlet Boundary Conditions. Polar Coordinates. Problems in Two Space Dimensions. Advection Equation, I: Upwind Differencing. Convection-Diffusion Equation. The Wave Equation. Appendix A. Important Theorems from Calculus. Appendix B.

Answers to Selected Problems. This student-friendly text develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares students to use the techniques covered to solve a wide variety of practical problems. Subject Numerical analysis. Numerische Mathematik. Numerical analysis. Bibliographic information.

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