Complex-valued problems - Revision history

APirnat at 14:29, 19 July 2019

2019-07-19T14:29:30Z

2019-07-19T14:23:11Z

2019-07-19T14:08:16Z

2019-07-19T14:07:36Z

2019-07-19T14:04:33Z

2019-05-18T08:31:04Z

2019-04-18T10:31:53Z

Jureslak moved page Complex numbers to Complex-valued problems without leaving a redirect

2019-03-08T20:51:41Z

2019-01-22T10:37:45Z

2019-01-22T10:37:28Z

Created page with "Our library natively supports complex numbers. TODO: Anja, Blaž"

New page

Our library natively supports complex numbers.

TODO: Anja, Blaž

@@ Line 12: / Line 12: @@
 \end{align*}
 \]
-where $u(x,y)$ is the solution to the problem and $\Omega = [0, 1] \times [0, 1]$ denotes the square domain. We will consider $f(x,y) = 2\pi^2\sin(\pi x)\sin(\pi y)$, as it makes for
+where $u(x,y)$ is the solution to the problem and $\Omega = [0, 1] \times [0, 1]$ the square domain. We will consider $f(x,y) = 2\pi^2\sin(\pi x)\sin(\pi y)$, as it makes for
 a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.

@@ Line 15: / Line 15: @@
 a simple solution $u(x,y) = i\sin(\pi x)\sin(\pi y)$.
-We write the equations for our problem by directly translating the mathematical formulation above into code.
+We write the equations for our problem by directly translating the mathematical formulation above into the code.
 <syntaxhighlight lang="cpp">
@@ Line 28: / Line 28: @@
 </syntaxhighlight>
-The solution $u(x,y)$ is plotted below. In our case solution consist only of the imaginary part, the real part is equal to zero.
+The solution $u(x,y)$ is plotted below. In our case solution consists only of the imaginary part, the real part is equal to zero.
 [[File:complex_poisson_2D_real.png|500px]]

@@ Line 21: / Line 21: @@
      double x = domain.pos(i, 0);
      double y = domain.pos(i, 1);
-.0_i * op.lap(i) = -2*PI*PI*sin(PI * x)*sin(PI * y);
+.0_i * op.lap(i) = 2*PI*PI*sin(PI * x)*sin(PI * y);
+}
 for (int i : domain.boundary()) {

@@ Line 1: / Line 1: @@
 Go back to [[Medusa#Examples|Examples]].
-Our library natively supports complex numbers. To demonstrate this a simple example of Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].
+Our library natively supports complex numbers. To demonstrate this a tutorial for solving Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].
 == 2D Complex Poisson's equation ==

@@ Line 1: / Line 1: @@
 Go back to [[Medusa#Examples|Examples]].
-Our library natively supports complex numbers.
+Our library natively supports complex numbers. To demonstrate this a simple example of Poisson's equation is presented below. For more complicated complex-valued problems see [[Electromagnetic scattering]] and [[Schrödinger equation]].
-TODO: Anja
+== 2D Complex Poisson's equation ==
 Go back to [[Medusa#Examples|Examples]].

← Older revision		Revision as of 08:31, 18 May 2019
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		+	Go back to [[Medusa#Examples\|Examples]].
		+
	Our library natively supports complex numbers.		Our library natively supports complex numbers.

	TODO: Anja		TODO: Anja
		+
		+	Go back to [[Medusa#Examples\|Examples]].

← Older revision	Revision as of 10:31, 18 April 2019
(No difference)

← Older revision		Revision as of 20:51, 8 March 2019
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	Our library natively supports complex numbers.		Our library natively supports complex numbers.

−	TODO: Anja~~, Blaž - show your examples.~~	+	TODO: Anja

← Older revision		Revision as of 10:37, 22 January 2019
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	Our library natively supports complex numbers.		Our library natively supports complex numbers.

−	TODO: Anja, Blaž	+	TODO: Anja, Blaž - show your examples.