Romberg Integration: Theory: Part 1 of 2
Loading...
Loading...
7,290
Loading...
Link to this comment:
Share to:
Uploader Comments (numericalmethodsguy)
see all
All Comments (10)
-
thanks for the voluntary effort
-
Soon, we will be annonating these new videos to link to the videos that show the formula derivation. Meanwhile, go to the playlist called Romberg at the numericalmethodsguy channel and you will see the derivation of the first order approximation.
-
This is just a description of the formulas, i think that explaining how these formulas are deducted would be more important...
Loading...
- 6:36
Romberg Integration: Theory: Part 2 of 2by numericalmethodsguy4,277 views
- 9:46
Richardsons Extrapolation of Trapezoidal Rule: Theoryby numericalmethodsguy2,492 views
- 9:24
Richardsons Extrapolation of Trapezoidal Rule: Exampleby numericalmethodsguy2,996 views
- 7:18
Trapezoidal Rule of Integration: Exampleby numericalmethodsguy16,625 views
- 1:04
Maths Integral Jokeby Sikosm149,127 views
- 8:43
Gauss Quadrature Rule: Two Point Ruleby numericalmethodsguy6,731 views
- 0:24
Numerical Integration: Romberg's Methodby wolframmathematica2,005 views
- 8:46
Multiple Segment Trapezoidal Rule Error: Derivationby numericalmethodsguy5,918 views
- 9:29
Runge Kutta 4th Order Method: Example Part 1 of 2by numericalmethodsguy47,751 views
- 9:17
Gauss-Seidel Method of Solving Simultaneous Linear Equations: Example: Part 1 of 2by numericalmethodsguy32,997 views
- 8:53
Gauss Quadarature Rule: n-Point Ruleby numericalmethodsguy5,510 views
- 8:36
Gauss Quadrature Rule: One pointby numericalmethodsguy4,765 views
- 8:48
Runge Kutta 4th Order Method: Example: Part 2 of 2by numericalmethodsguy17,825 views
- 5:11
Newtons Divided Difference Polynomial Interpolation: Quadratic Interpolation: Example Part 2 of 2by numericalmethodsguy4,555 views
- 9:53
Euler's Method: Derivationby numericalmethodsguy20,123 views
- 9:08
Integration by Parts Example 3by TheIntegralCALC20,848 views
- 7:14
Gauss Quadrature Rule: Converting Limits of Integrationby numericalmethodsguy3,496 views
- 6:56
LU Decomposition Method: Decomposing a Matrix Example: Part 1 of 2by numericalmethodsguy52,175 views
- 9:16
Improper Integration: Singular Integrand: Exampleby numericalmethodsguy998 views
- 10:49
Naive Gaussian Elimination: Example: Part 1 of 2 (Forward Elimination)by numericalmethodsguy15,258 views
whats the difference between this and richardson extrapolation?
pyr666 1 week ago
@pyr666 Richardson extrapolation goes only one level down. Romberg will take values from Richardson's extrapolation and get a better answer. Then it will use those to get better answers and so on.
numericalmethodsguy 1 week ago
sir;
i just wanted to ask that do we have this course of numerical analysis(problem soving through computer)in electrical engineering or not.
Soumilbharatendu 6 months ago
@Soumilbharatendu This is a course for scientists and engineers. I do not have specific course for EEs. You can look at the numericalmethods(dot)eng(dot)usf(dot)edu which has applications in EE of numerical methods.
numericalmethodsguy 6 months ago
Very nice,Thank you very much sir. Sir, could you just explain me one thing that what are A1,A2,A3,... I didn't understand that part very much
Soumilbharatendu 6 months ago
@Soumilbharatendu A1, A2, A3 are the approximate constants of proportionality. If true error is approximately proportional to h^2, then we can assume true error approximately = A1*h^2. For more details, go to numericalmethods(dot)eng(dot)usf(dot)edu, click on Keyword, click on Romberg, and read the textbook chapter. To get even more basic, click on Trapezoidal rule, read the error section of the textbook chapter and the video on the error section.
numericalmethodsguy 6 months ago