工程中的数值方法：第三版

PARTONE
MODELING,ANDERRORANALYSIS
CHAPTER1
MathematicalModelingandEngineeringProblem-Solving
CHAPTER2
ComputersandSoftware
CHAPTER3
ApproximationsandRound-OffErrors
CHAPTER4
TruncationErrorsandtheTaylorSeries
EPILOGUE:PARTONE
pARTTWO
ROOTSOFEQUATIONS
CHAPTER5
BracketingMethods
CHAPTER6
OpenMethods
CHAPTER7
RootsofPolynomials
CHAPTER8
EngineeringApplications:RootsofEquations
EPILOGUE:PARTTWO
PARTTHREE
LINEARALGEBRAICEQUATIONS
CHAPTER9
GaussElimination
CHAPTER10
LUDecompositionandMatrixInversion
CHAPTER11
SpecialMatricesGauss-Seidel
CHAPTER12
EngineeringApplications:LinearAlgebraicEquations
EPILOGUE:PARTTHREE
PARTFOUROPTIMIZATION
CHAPTER13
One-dimensionalUnconstrainedOptimization
CHAPTER14
MultidimensionalUnconstrainedOptimization
CHAPTER15
ConstrainedOptimization
CHAPTER16
EngineeringApplications:Optimization
EPILOGUE:PARTFOUR
PARTFIVE
CURVEFITTING
CHAPTER17
Least-SquaresRegression
CHAPTER18
Interpolation
CHAPTER19
FourierApproximation
CHAPTER20
EngineeringApplications:CurveFitting
EPILOGUE:PARTFIVE
PARTSIX
NUMERICALDIFFERENTIATIONANDINTEGRATION
CHAPTER21
Newton-CotesIntegrationofEquations
CHAPTER22
IntegrationofEquations
CHAPTER23
NumericalDifferentiation
CHAPTER24
EngineeringApplications:NumericalIntegrationandDifferentiation
EPILOGUE:PARTSIX
PARTSEVEN
ORDINARYDIFFERENTIALEQUATIONS
CHAPTER25
Runge-KuttaMethods
CHAPTER26
StiffnessandMultistepMethods
CHAPTER27
Boundary-ValueandEigenvalueProblems
CHAPTER28
EngineeringApplications:OrdinaryDifferentialEquations
EPILOGUE:PARTSEVEN
PARTEIGHT
PARTIALDIFFERENTIALEQUATIONS
CHAPTER29
FiniteDifference:EllipticEquations
CHAPTER30
FiniteDifference:ParabolicEquations
CHAPTER31
FiniteElementMethod
CHAPTER32
EngineeringApplications:PartialDifferentialEquations
EPILOGUE:PARTEIGHT
APPENDIXA:THEFOURIERSERIES
APPENDIXB:GETTINGSTARTEDWITHMATHCAD
APPENDIXC:GETTINGSTARTEDWITHMATLAB
BIBLIOGRAPHY
INDEX