![Physics](/tpl/images/cats/fizika.png)
Physics, 03.07.2019 03:10, yiyirojastorres
(a) suppose we have n +1 data points (x , yo). (x, y). , (x , yn). the points are equally spaced, with point spacing h , so that hx1 for j0,1,,n-1. we want to fit a cubic spline s(x) through these points; this consists of n separate cubics, between each sets of points, and joined head-to-tail. show that, in the interval x x, xj,], the cubic spline takes the form s(x) %3d 씨 (x-z) m 1 h h mm-2)m) here, m s"(x) are the second derivatives ("moments") of the spline at each of the knot points x x [10 points (b) the moments mi are determined by making the first derivative of s(x) continuous at all the internal knot points x,,n-1. for the "natural" spline, which takes mo 0 and mn = 0, show that this yields the tri- diagonal matrix system of equations m-1 + 4m,+ m6.1-2y + y-1 h2 for j = ,n -1, and write as a matrix equation. [7 points] (c) explain why the matrix equation in part (b) could be solved successfully by an iterative method like the jacobi method.
![answer](/tpl/images/cats/otvet.png)
Answers: 3
Other questions on the subject: Physics
![image](/tpl/images/cats/fizika.png)
Physics, 22.06.2019 07:30, wananikwecurley99
Choose all the answers that apply. our solar system: is in a spiral galaxy no longer includes pluto is made mostly of empty space is in the andromeda galaxy is the only known system that supports life
Answers: 3
![image](/tpl/images/cats/fizika.png)
Physics, 22.06.2019 13:00, chie42
Which of the following correctly describes what happens when an atomic bomb explodes? small pieces of fissionable material are joined and form a body with a mass greater than the critical mass, the relative number of neutrons escaping decreases, and a chain reaction and explosion result. large pieces of fissionable matter are brought together quickly and form a body with a mass smaller than the critical mass, the relative number of escaping neutrons increases, and a chain reaction and explosion result.
Answers: 2
![image](/tpl/images/cats/fizika.png)
![image](/tpl/images/cats/fizika.png)
Physics, 22.06.2019 16:40, scully1442
Acapacitor is storing energy of 3 joules with a voltage of 50 volts across its terminals. a second identical capacitor of the same value is storing energy of 1 joule. what is the voltage across the terminals of the second capacitor?
Answers: 3
Do you know the correct answer?
(a) suppose we have n +1 data points (x , yo). (x, y). , (x , yn). the points are equally spaced, wi...
Questions in other subjects:
![Konu](/tpl/images/cats/biologiya.png)
Biology, 29.12.2020 03:20
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/himiya.png)
Chemistry, 29.12.2020 03:20
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/en.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 29.12.2020 03:20
![Konu](/tpl/images/cats/health.png)
Health, 29.12.2020 03:20
![Konu](/tpl/images/cats/ekonomika.png)
![Konu](/tpl/images/cats/istoriya.png)