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=c0+-cla 1 (1.39) LINEAR AND NONLINEAR WAVES G. B. WHITHAM F. R. S. Professor of Applied Mathematics California Institute of Technology A WILEY-INTERSCIENCE ... blast waves, ocean waves from storms, and so on, are of universal interest. Other fields are not excluded, and detailed discussion is given, for example, of nonlinear optics and waves in various...

SAP2000® Linear and Nonlinear Static and Dynamic Analysis and Design of Three-Dimensional Structures

... 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 and press the Enter ... Subdivide command to bring up the form in Figure 13. Select the Auto Subdivide Frame option and check the at Intermediate Joints and at Intersection with Other Frames check boxes, and click OK....

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SAP2000® Linear and Nonlinear Static and Dynamic Analysis and Design of Three-Dimensional Structures GETTING STARTED doc

... 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 linear or nonlinear, ... systems, end offsets, insertion points, output locations, nonlinear properties, line springs and masses, automated meshing parameters, and more  Assigning properties to area objects, including...

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Root Finding and Nonlinear Sets of Equations part 1

... Finding and Nonlinear Sets of Equations9.0 IntroductionWe now consider that most basic of tasks, solving equations numerically. Whilemost 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 Single Nonlinear ... Numerical Treatment of a Single Nonlinear Equation(New York:McGraw-Hill).9.1 Bracketing and BisectionWe will say that a root is bracketed in the interval (a, b) if f(a) and f(b)have opposite signs....

Tài liệu Root Finding and Nonlinear Sets of Equations part 2 docx

... 352Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... *x2)Given a functionfunc and an initial guessed rangex1tox2, the routine expands the rangegeometrically until a root is bracketed by the returned valuesx1 and x2(in which casezbracreturns1) ... it is said toconverge linearly. Methodsthat converge as a higher power,n+1= constant × (n)mm>1(9.1.4)are said to converge superlinearly. In other contexts linear convergence would...

Tài liệu Root Finding and Nonlinear Sets of Equations part 3 pptx

... 354Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... guaranteed to converge: Local behavior might send it offtowards inﬁnity.356Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... 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 of Equations and...

Tài liệu Root Finding and Nonlinear Sets of Equations part 4 doc

... cansometimes be fooled. Is there a way to combine superlinear convergence with thesureness of bisection?360Chapter 9. Root Finding and Nonlinear Sets of EquationsSample 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 of Equations and ... 362Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING...

Tài liệu Root Finding and Nonlinear Sets of Equations part 5 doc

... 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.368Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... 366Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING...

Tài liệu Root Finding and Nonlinear Sets of Equations part 6 docx

... linear remainderP (x)=(x2+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 canconsider 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 or378Chapter 9. Root Finding and Nonlinear Sets of EquationsSample page ... 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 Analysis,...

Tài liệu Root Finding and Nonlinear Sets of Equations part 7 doc

... Globally Convergent Methods for Nonlinear Systems of EquationsWe have seen that Newton’s method for solving nonlinear equations has anunfortunate 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 Analysis, ... A.M. 1966,Solutions of Equations and Systems of Equations, 2nd ed. (New York:Academic Press).Ortega, J., and Rheinboldt, W. 1970,Iterative Solution of Nonlinear Equations in Several Vari-ables(New...

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