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Numerical Analysis 9th Edition Burden Solutions ManualFull Download: ’s Solutions ManualforNumerical Analysis9th EDITIONRichard L. BurdenYoungstown State UniversityJ. Douglas FairesYoungstown State UniversityPrepared byRichard L. BurdenYoungstown State UniversityJ. Douglas FairesYoungstown State UniversityAustralia Brazil Japan Korea Mexico Singapore Spain United Kingdom United StatesThis sample only, Download all chapters at: alibabadownload.com

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Table of ContentsPrefaceviiMathematical PreliminariesExercise Set 1.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Exercise Set 1.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Exercise Set 1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11612Solutions of Equations of One VariableExercise Set 2.1 . . . . . . . . . . . . . . .Exercise Set 2.2 . . . . . . . . . . . . . . .Exercise Set 2.3 . . . . . . . . . . . . . . .Exercise Set 2.4 . . . . . . . . . . . . . . .Exercise Set 2.5 . . . . . . . . . . . . . . .Exercise Set 2.6 . . . . . . . . . . . . . . .19192226313436Interpolation and Polynomial ApproximationExercise Set 3.1 . . . . . . . . . . . . . . . . . . .Exercise Set 3.2 . . . . . . . . . . . . . . . . . . .Exercise Set 3.3 . . . . . . . . . . . . . . . . . . .Exercise Set 3.4 . . . . . . . . . . . . . . . . . . .Exercise Set 3.5 . . . . . . . . . . . . . . . . . . .Exercise Set 3.6 . . . . . . . . . . . . . . . . . . .41414749525668Numerical DifferentiationExercise Set 4.1 . . . . . .Exercise Set 4.2 . . . . . .Exercise Set 4.3 . . . . . .Exercise Set 4.4 . . . . . .Exercise Set 4.5 . . . . . .Exercise Set 4.6 . . . . . .Exercise Set 4.7 . . . . . .Exercise Set 4.8 . . . . . .Exercise Set 4.9 . . . . . .71. 71. 78. 82. 87. 91. 94. 96. 99. 101.and Integration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .iii.

ivInitial-Value ProblemsExercise Set 5.1 . . . .Exercise Set 5.2 . . . .Exercise Set 5.3 . . . .Exercise Set 5.4 . . . .Exercise Set 5.5 . . . .Exercise Set 5.6 . . . .Exercise Set 5.7 . . . .Exercise Set 5.8 . . . .Exercise Set 5.9 . . . .Exercise Set 5.10 . . .for. . . . . . . . . . .Ordinary Differential Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Direct Methods for SolvingExercise Set 6.1 . . . . . . .Exercise Set 6.2 . . . . . . .Exercise Set 6.3 . . . . . . .Exercise Set 6.4 . . . . . . .Exercise Set 6.1 . . . . . . .Exercise Set 6.6 . . . . . . .Linear Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190194Iterative Techniques inExercise Set 7.1 . . . .Exercise Set 7.2 . . . .Exercise Set 7.3 . . . .Exercise Set 7.4 . . . .Exercise Set 7.5 . . . .Exercise Set 7.6 . . . .Matrix. . . . . . . . . . . . . . . . . . . . . . . . .Algebra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201201206209215219221Approximation TheoryExercise Set 8.1 . . . .Exercise Set 8.2 . . . .Exercise Set 8.3 . . . .Exercise Set 8.4 . . . .Exercise Set 8.5 . . . .Exercise Set 8.6 . . . .231231232236238244247Approximating EigenvaluesExercise Set 9.1 . . . . . . .Exercise Set 9.2 . . . . . . .Exercise Set 9.3 . . . . . . .Exercise Set 9.4 . . . . . . .Exercise Set 9.5 . . . . . . .Exercise Set 9.6 . . . . . . .251251257262266267273.

vNumerical Solutions ofExercise Set 10.1 . . .Exercise Set 10.2 . . .Exercise Set 10.3 . . .Exercise Set 10.4 . . .Exercise Set 10.5 . . .Nonlinear. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Systems of Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Boundary-Value Problems for OrdinaryExercise Set 11.1 . . . . . . . . . . . . . .Exercise Set 11.2 . . . . . . . . . . . . . .Exercise Set 11.3 . . . . . . . . . . . . . .Exercise Set 11.4 . . . . . . . . . . . . . .Exercise Set 11.5 . . . . . . . . . . . . . .Numerical Solutions toExercise Set 12.1 . . .Exercise Set 12.2 . . .Exercise Set 12.3 . . .Exercise Set 12.4 . . .Partial. . . . . . . . . . . . . . . . .281281284287290291Differential Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .295295299303308313.319319323333336Differential. . . . . . . . . . . . . . . . . . . . . . . . . . . . .Equations. . . . . . . . . . . . . . . . . . . . . . . . .

viPreface

PrefaceThis Instructor’s Manual for the Ninth Edition of Numerical Analysis by Burden andFaires contains solutions to all the exercises in the book. Although the answers tothe odd exercises are also in the back of the text, we have found that users of thebook appreciate having all the solutions in one source. In addition, the results listedin this Instructor’s Manual often go beyond those given in the back of the book. Forexample, we do not place the long solutions to theoretical and applied exercises inthe book. You will find them here.A Student Study Guide for the Ninth Edition of Numerical Analysis is also available and the solutions given in the Guide are generally more detailed than those in theInstructor’s Manual. In order to make it convenient for instructors, we have placedan asterisk (*) in this Manual in front of each exercise whose solution is given in theStudent Study Guide. Hopefully this will help with your homework assignments andtest problems.We have added a number of exercises to the text that involve the use of a ComputerAlgebra System. We have chosen Maple as our standard, because their NumericalAnalysis package parallels the algorithms in this book, but any of these systems canbe used. In our recent teaching of the course we found that students understood theconcepts better when they worked through the algorithms step-by-step, but let thecomputer algebra system do the tedious computation.It has been our practice to include structured algorithms in our Numerical Analysisbook for all the techniques discussed in the text. The algorithms are given in a formthat can be coded in any appropriate programming language, by students with evena minimal amount of programming expertise.At our website for the book,http://www.math.ysu.edu/ faires/Numerical-Analysis/you will find all the algorithms written in the programming languages FORTRAN,Pascal, C, Java, as well as in the Computer Algebra Systems, Maple, MATLAB,and Mathematica. For the Ninth Edition, we have added new Maple programs toreflect the changes in their system and to include portions of their NumericalAnalysispackage.vii