Numerical methods for engineers /

Chapra, Steven C.

Numerical methods for engineers / Steven C. Chapra, Raymond P. Canale - 2nd edition. - New York ; San francisco : McGraw-Hill, c1988. - xvii, 839 p. : ill. ; 24 cm.



CONTENT

PART 1 : MODELING, COMPUTERS AND ERROR ANALYSIS

Chapter 1 : Mathematical modelling and engineering problem-solving
Chapter 2 : Computers and software
Chapter 3 : Approximation an errors
Epilogue : Part one
Pt 1.4 Trade offs
Pt 1.5 Important relationships and formulas
Pt 1.6 Advanced methods and additional references pg 113

PART 2 : ROOTS OF EQUATION
Chapter 4 : Bracketing method
Chapter 5 : Open methods
Chapter 6 : Case studies : Root equations
Epilogue part two
Pt 2.4 Trade offs
Pt 2.5 Important relationships and formulas
Pt 2.6 Advanced methods and additional references

PART 3 : SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
Chapter 7 : Solving small numbers of equations
Chapter 8 : Matrix inversion and gauss seidel
Chapter 9 : LU decomposition method
Chapter 10 : Case studies : systems of linear algebraic equations
Epilogue : Part 3
Pt 3.4 Trade offs
Pt 3.5 Mathematical background
Pt 3.6 Advance method and additional references

PART 4 : CURVE FITTING
Chapter 11 : Least squares regression
Chapter 12 : Interpolation
Chapter 13 : Fourier approximation
Chapter 14 : Case studies : Curve
fitting

PART 5 : NUMERICAL DIFFERENTIATION AND INTERGRATION
Chapter 15 : Newton- cotes integration formulas
Chapter 1 6 : Integration of equations
Chapter 17 : Numerical differentiation
Chapter 18 : Case studies: Numerical integration and differentiation

PART SIX :ORDINARY DIFFERENTIAL EQUATIONS
Chapter 19 : One step methods
Chapter 20 : Adoptive step size control
Chapter 21 : Boundary value and Eigenvalue problems
Chapter 22 : Case studies : Ordinary differential equations

PART 7 : Partial differential equations
Chapter 23 : Finite difference : Elliptic equations
Chapter 24 : Finite Difference : Parabolic equations
Chapter 25 : Finite element method
Chapter 26 : Case studies : Partial differential equations


Bibliography : p. 821825 . _ Index : p. 826 -839

0079099440

2010044481


Numerical analysis
Engineering mathematics

511.02462 / CHA