gerald beresford whitham linear and nonlinear waves pure and applied mathematics 1974

... Whitham, Gerald Beresford, 1927- Linear and nonlinear waves. (Pure and applied mathematics) "A Wiley-Interscience publication." Bibliography: p. 1. Wave-motion, Theory of. 2. Waves. ... (1.37) TJ=/(0), e=KX-at (1.38) U=c 0 +-c l a 1 (1.39) LINEAR AND NONLINEAR WAVES G. B. WHITHAM F. R. S. Professor of Applied Mathematics California Insti...

Ngày tải lên: 12/06/2014, 16:26

... EFFORT AND EXPENSE HAVE GONE INTO THE DEVELOPMENT AND DOCUMENTATION OF SAP2000. THE PROGRAM HAS BEEN THOROUGHLY TESTED AND USED. IN USING THE PROGRAM, HOWEVER, THE USER ACCEPTS AND UNDERSTANDS ... spacing in the X, Y and Z direction. Set the number of grid spaces to 10 for the X direction, and to 1 for the Y and Z directions. Type 6 ft into the X direction spacing edit box...

Ngày tải lên: 06/09/2012, 15:56

... Dimensions and tolerances – merge, selection, and snap tolerances; font sizes; zoom increment; and others  Design codes and their parameters  Colors of objects and results for display and printing ... to be applied to the structure, and how the structural response is to be calculated. Many types of analysis cases are available. Most broadly, analyses are classified as...

Ngày tải lên: 01/04/2014, 03:20

... Finding and Nonlinear Sets of Equations 9.0 Introduction We now consider that most basic of tasks, solving equations numerically. While most equations are born with both a right-hand side and a ... 7, and 14. Ralston, A., and Rabinowitz, P. 1978, A First Course in Numerical Analysis , 2nd ed. (New York: McGraw-Hill), Chapter 8. Householder, A.S. 1970, The Numerical Treatment of a Si...

Ngày tải lên: 07/11/2013, 19:15

... 352 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... *x2) Given a function func and an initial guessed range x1 to x2 , the routine expands the range geometrically until a root is bracketed by the returned values x1 and x2 (in which case zbrac returns 1 ) ... it is said toconverge linearly. Methods tha...

Ngày tải lên: 15/12/2013, 04:15

... 354 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... guaranteed to converge: Local behavior might send it off towards infinity. 356 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... REFERENCES AND FURTHER READING: Ralst...

Ngày tải lên: 15/12/2013, 04:15

... can sometimes be fooled. Is there a way to combine superlinear convergence with the sureness of bisection? 360 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES ... REFERENCES AND FURTHER READING: Ralston, A., and Rabinowitz, P. 1978, A First Course in Numerical Analysis , 2nd ed. (New York: McGraw-Hill), § 8.3. Ostrowski, A.M. 1966, Solutions...

Ngày tải lên: 15/12/2013, 04:15

... York: McGraw-Hill), § 8.4. Ortega, J., and Rheinboldt, W. 1970, Iterative Solution of Nonlinear Equations in Several Vari- ables (New York: Academic Press). Mandelbrot, B.B. 1983, The Fractal Geometry ... criterion. (*funcd)(rts,&f,&df); The one new function evaluation per iteration. 368 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES...

Ngày tải lên: 15/12/2013, 04:15

... linear remainder P (x)=(x 2 +Bx + C)Q(x)+Rx + S. (9.5.15) Given B and C, R and S can be readily found, by polynomial division (§5.3). We can consider R and S to be adjustable functions of B and ... Consequently, the roots can become more and more inaccurate. It matters a lot whether the inaccuracy creeps in stably (plus or 378 Chapter 9. Root Finding and Nonlinear Sets of Equa...

Ngày tải lên: 15/12/2013, 04:15

... Globally Convergent Methods for Nonlinear Systems of Equations We have seen that Newton’s method for solving nonlinear equations has an unfortunate tendency to wander off into the wild blue yonder ... 10, pp. 655–658. [5] Johnson, L.W., and Riess, R.D. 1982, Numerical Analysis , 2nd ed. (Reading, MA: Addison- Wesley), § 4.4.3. [6] Henrici, P. 1974, Applied and Computational Complex...

Ngày tải lên: 15/12/2013, 04:15