Interpolation and Extrapolation part 7

... arrays x1a[1..m] and x2a[1..n] of independent variables, and a submatrix of function values ya[1..m][1..n] , tabulated at the grid points defined by x1a and x2a ; and given values x1 and x2 of the ... taste (and trade-off between time and memory) as to how much of this process one wants to precompute and store. Instead of precomputing and storing all the derivative information...

Ngày tải lên: 07/11/2013, 19:15

... http://www.nr.com or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 3.2 Rational Function Interpolation and Extrapolation Some functions are ... NJ: Prentice-Hall), § 6.2. Cuyt, A., and Wuytack, L. 19 87, Nonlinear Methods in Numerical Analysis (Amsterdam: North- Holland), Chapter 3. 3.3 Cubic Spline Interpolation Given a t...

Ngày tải lên: 17/10/2013, 22:15

... attention on one particular interval, between x j and x j+1 . Linear interpolation in that interval gives the interpolation formula y = Ay j + By j+1 (3.3.1) 114 Chapter 3. Interpolation and Extrapolation ... *y=a*ya[klo]+b*ya[khi]+((a*a*a-a)*y2a[klo]+(b*b*b-b)*y2a[khi])*(h*h)/6.0; } CITED REFERENCES AND FURTHER READING: De Boor, C. 1 978 , A Practical Guide to Splines (New York...

Ngày tải lên: 20/10/2013, 17:15

... 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 3.4 How to Search an Ordered Table Suppose that you have decided to use some particular interpolation ... you call the interpolation routine with array addresses offset by k, e.g., polint(&xx[k-1],&yy[k-1],m,...) CITED REFERENCES AND FURTHER READING: Knuth, D.E. 1 973 , Sorting...

Ngày tải lên: 20/10/2013, 17:15

... http://www.nr.com or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 3.6 Interpolation in Two or More Dimensions In multidimensional interpolation, we ... x2a[k])/(x2a[k+1] − x2a[k]) (3.6.4) (so that t and u each lie between 0 and 1), and y(x 1 ,x 2 )=(1−t)(1 − u)y 1 + t(1 − u)y 2 + tuy 3 +(1−t)uy 4 (3.6.5) Bilinear interpol...

Ngày tải lên: 24/10/2013, 15:15

... website http://www.nr.com or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 3. Interpolation and Extrapolation 3.0 Introduction Wesometimesknowthevalueofafunctionf(x) ... through (and perhaps beyond) the x i . If the desired x is in between the largest and smallest of the x i ’s, the problem is called interpolation;...

Ngày tải lên: 21/01/2014, 18:20

... 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). f(x, y, z). Multidimensional interpolation is often accomplished by a sequence of one-dimensional interpolations. ... REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A. 1964, Handbook of Mathematical Functions , Applied Mathe- matics Series, Volume 55 (Washington: National...

Ngày tải lên: 26/01/2014, 15:20

Ngày tải lên: 24/10/2013, 01:15

Ngày tải lên: 14/12/2013, 13:15

... Specialist: a person who has a particular skill or knows a lot about a particular subject. Specialty: a particular type of work a person does best Equipment: things used for particular purpose Facility: ... Braque, Leger and Gris. 3. They will want to know that you have a safe, warm place for children to play, and that your kitchen and toilet are adequate. 4. People are s...

Ngày tải lên: 20/01/2014, 16:20