Extended trapezoidal rule ( 2 ) Purpose : Integration of a function by extended
trapezoidal rule . ... ( f _ name , xc ) ; plot ( xc , fc , ' r ' ) ; hold on title ( ' Trapezoidal
Rule ' ) ; xlabel ( ' x ' ) ; ylabel ( ' y ' ) ; plot ( x , f ) ; plot ( x , zeros ( size ( x ) ) ) for i =
1 : n ; plot ( [ x ( i ) , x ( i ) ] , [ 0 , f ( i ) ] ) ; end FM 5 - 3 . ... a , b , n ) f name : function
m - file name of the integrand , f ( x ) f : functional data on equispaced abscissa .
Author : Shoichiro Nakamura
Release : 2002
Publisher : Prentice Hall
File Size : 86.53 MB
Format : PDF, ePub, Docs
Download : 513
Read : 1118
Leverage the power of MATLAB 6 in all your technical computation and measurement applications Now, there is a complete introduction to numerical methods and visualization with the latest, most powerful version of MATLAB, Version 6.0. Dr. Shoichiro Nakamura introduces the skills and knowledge needed to solve numerical equations with MATLAB, understand the computational results, and present them graphically. This book brings together all four cornerstones of numerical analysis with MATLAB: the fundamental techniques of MATLAB programming; the mathematical basis of numerical methods; the application of numerical analysis to engineering, scientific, and mathematical problems; and the creation of scientific graphics. Coverage includes: Complete introductory tutorials for both MATLAB 6.0 programming and professional-quality 3D graphics Linear algebra applications: matrices, vectors, Gauss elimination, Gauss-Jordan elimination, LU decomposition, and more Polynomials and interpolation, including interpolation with Chebyshev points; cubic hermite, 2D and transfinite interpolation; and M-files Numerical integration, differentiation, and roots of nonlinear equations Advanced techniques, including curve fitting, spline functions, and boundary value problems Whether you are a student, engineer, scientist, researcher, or economic analyst, MATLAB 6 offers you unprecedented power for defining and solving problems. Put that power to work -- with Numerical Analysis and Graphical Visualization with MATLAB, second edition.