PLAGUE's latest activity
-
PLAGUE posted the thread I Proving Newton's forward difference interpolation formula in General Math.Say, $$y_n (x) = a_0 + a_1(x -x_0) + a_2(x-x_1)(x - x_0) + ... +a_n(x-x_0)(x-x_1)...(x-x_{n-1})$$ Now, $$y_0(x_0) = a_0$$ $$y_1(x_1) =... -
-
PLAGUE replied to the thread I Find f(z) given f(x, y) = u(x, y) + iv(x,y).Can you suggest some study materials?
-
PLAGUE replied to the thread I Find f(z) given f(x, y) = u(x, y) + iv(x,y).I was said that setting y equal to 0 is equivalent to setting ##z=\overline z## as done here. (see the lower half of the page) But it...
-
PLAGUE replied to the thread I Find f(z) given f(x, y) = u(x, y) + iv(x,y).Perhaps I am missing something. I am giving the full answer here. They are taken from Schaum's Outline of Complex Variables, 2ed...
-
-
I am given, $$u = e^{-x} (x sin y - y cos y)$$ and asked to find v such that, $$f(z) = u + iv$$. My book solves these problems and the...
-
-
PLAGUE replied to the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##.Or perhaps, i made mistake in my code: import math as mp def g(x): return (1-x**2)**(1/3) def pg(x): return...
-
PLAGUE replied to the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##.0 0.020000 0.999867 -0.013337 0.979867 1 0.999867 0.064367 -160.886288 0.935499 2 0.064367...
-
PLAGUE reacted to fresh_42's post in the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0## with
Like.
Yes, but we only need ##\neq 1.## It doesn't matter if the function decreases or increases, it just may not be stable (plus the other... -
PLAGUE replied to the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##.Right! Missed that.
-
PLAGUE replied to the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##.$$x = 3/2 + (cosx)/2$$ here, if you assume $$x_0=0$$, then the derivative becomes 0. Yet, it converges!
-
PLAGUE replied to the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##.Finally, the savior! Thanks a lot.
-
PLAGUE reacted to fresh_42's post in the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0## with Like.
You are looking for a fixed point of the function ##g(x)=\sqrt[3]{1-x^2}.## The first thing is to check whether we have a contraction...
-
PLAGUE posted the thread I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0## in General Math.I am new to numerical methods and am currently learning Fixed point iteration. I have learned that if you can express $$x = g(x)$$, and...
-
PLAGUE replied to the thread I Why Lagrange’s method of solving Pp + Qq=R works?.Why along a characteristic curve dx/P = dy/Q = dz/R?
-
PLAGUE reacted to member 666967's post in the thread I Why Lagrange’s method of solving Pp + Qq=R works? with Like.
Great question — this part often feels like a leap when you're first seeing it. Let me try to break it down in a way that connects the...
