ABSTRACT
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "…a good, solid instructional text on the basic tools of numerical analysis."
TABLE OF CONTENTS
chapter |1 pages
......................................... ..................
2.3.2. Basis Power Method
chapter |3 pages
end data 5, 40.0 f=r1*cos(alpha*rad)-r2*cos(x*radJ+r3-cos((alpha-x)*rad) fp=(r2*sin(x*rad)-sin((alpha-x)*rad))*rad return fi
1.66666667, 1.83333333,
chapter |1 pages
= + + + + + + + + + ...
Example Direct Lagrange, divided difference polynomials. =0.046800
chapter |2 pages
'f'I' (' '110x,'dx',8x,'0(h**2)',5x,'0(h**4)'I' ') (' (' fxx',3f12.6) format (' ') subroutine deriv (ndim,ndeg,num,n,x,f,dx,fx,fxx) differentiation
format format format format format
chapter 3|3 pages
000 2154.47079576 -86.16753966 2075.24833822 -74.17350708 4.000 2074.55075892 -74.07380486 2005.68816487 -64.71557210 5.000 2005.33468855 -64.66995205 ...................................
1798.14913834 1758.21558333 1758.18932752 7.15.4 Packages Integrating Initial-Value
chapter 0|1 pages
250000 3.645833 19.270833 0.500000 11.241319 46.723090 0.750000 30.957935 124.490922 1.000000 84.036669 336.393870 0.000000 0.000000 14.874459 0.250000 4.338384 22.931458 0.500000 13.376684 55.598456 0.750000 36.838604 148.138810 1.000000 100.000000 400.294148 y(l) = by= = = = =
8.10.2 Second-Order Equilibrium Method
chapter |1 pages
in this imax grid points in the direction jmax grid points in the direction iw intermediate results all x(i,j) y(i,j) f(i,j)
array output output
chapter |2 pages
df=(f(i+1,j}+beta2*f(i,j+1}+f(i-1,j}+beta2*f(i,j-1} -d*f(i,j}-fxy*dx**2}/d
48.462813 48.462813 68.943299 68.943299 68.943299 68.943299
part |2 pages
Section Introduction of of of
chapter 74|2 pages
1781.31 60.0940.64 5.07.4714.9726.12 1.96 11.10.2 The Lax-Wendroff One-Step Method of :/i -
-Ji-I
chapter |1 pages
0.27 .....................................................................
-2.32 11.10.4 Upwind Method
