<Text-field style="Heading 1" layout="Heading 1">Solve Dirichlet problem for Laplace's equation u_xx + u_yy = 0 numerically in a rectangle R = [0,L] x [0,L]. Solve the linear system using Gauss-Seidel.</Text-field> QyQ+SSJMRzYiJCIjNSEiIiIiIg== JCIjNSEiIg== QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIi Number of nodes along each axis QyQ+SSJORzYiIiIkIiIi IiIk Step size QyQ+SSJoRzYiKiZJIkxHRiUiIiJJIk5HRiUhIiJGKA== JCIrTExMTEwhIzU= Boundary values (in the order lower,upper,left,right) QyQ+SSRmXzBHNiJmKjYjSSJ4R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUiIz9GJUYlRiUiIiI=QyQ+SSRmX0xHNiJmKjYjSSJ4R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUiJCE9RiVGJUYlIiIiQyQ+SSRnXzBHNiJmKjYjSSJ5R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUiIyEpRiVGJUYlIiIiQyQ+SSRnX0xHNiJmKjYjSSJ5R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUiIiFGJUYlRiUiIiI= Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlIiM/RiVGJUYl Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlIiQhPUYlRiVGJQ== Zio2I0kieUc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlIiMhKUYlRiVGJQ== Zio2I0kieUc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlIiIhRiVGJUYl QyQ+SSJ1RzYiLUkmYXJyYXlHJSpwcm90ZWN0ZWRHNiQ7IiIhSSJOR0YlRioiIiI= PTYiNiQ7IiIhIiIkRiVFXFtsIQ== Initialize the matrix u QyQ/KEkiaUc2IiIiISIiIkkiTkdGJUkldHJ1ZUclKnByb3RlY3RlZEdDJj4mSSJ1R0YlNiRGJEYmLUkkZl8wR0YlNiMqJkYkRidJImhHRiVGJz4mRi42JEYkRigtSSRmX0xHRiVGMj4mRi42JEYmRiQtSSRnXzBHRiVGMj4mRi42JEYoRiQtSSRnX0xHRiVGMiEiIg== QyQ/KEkiaUc2IiIiIkYmLCZJIk5HRiVGJiEiIkYmSSV0cnVlRyUqcHJvdGVjdGVkRz8oSSJqR0YlRiZGJkYnRio+JkkidUdGJTYkRiRGLSIiIUYm Number of iterations in Gauss-Seidel QyQ+SShOdW1JdGVyRzYiIiM1IiIi IiM1 Solve by Gauss-Seidel QyQ/KEkia0c2IiIiIkYmSShOdW1JdGVyR0YlSSV0cnVlRyUqcHJvdGVjdGVkRz8oSSJqR0YlRiZGJiwmSSJOR0YlRiYhIiJGJkYoPyhJImlHRiVGJkYmRixGKD4mSSJ1R0YlNiRGMEYrLComRjM2JCwmRjBGJkYuRiZGKyNGJiIiJSZGMzYkLCZGMEYmRiZGJkYrRjkmRjM2JEYwLCZGK0YmRi5GJkY5JkYzNiRGMCwmRitGJkYmRiZGOUYm
<Text-field style="Heading 1" layout="Heading 1">Plot results</Text-field> QyQ+SSJBRzYiLUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQsJkkiTkdGJSIiIkYuRi5GLEYu LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKW9iWzw= QyQ/KEkiaUc2IiIiIkYmLCZJIk5HRiVGJkYmRiZJJXRydWVHJSpwcm90ZWN0ZWRHPyhJImpHRiVGJkYmRidGKT4mSSJBR0YlNiRGJEYsLUkmZXZhbGZHRio2IyZJInVHRiU2JCwmRixGJiEiIkYmLChGKEYmRiZGJkYkRjhGJg== QyQtSSZwcmludEclKnByb3RlY3RlZEc2I0kiQUc2IiIiIg== LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciKFs/Xyc= QyQtSSttYXRyaXhwbG90RzYiNiZJIkFHRiUvSSVheGVzR0YlSSZib3hlZEdGJS9JK3Byb2plY3Rpb25HRiUkIiIqISIiL0krZ2xvc3NpbmVzc0dGJSIiIkYy NigtJSpBWEVTU1RZTEVHNiMlJEJPWEctJStBWEVTTEFCRUxTRzYlUSRyb3c2IlEnY29sdW1uRitRIUYrLSUlR1JJREc2JTsiIiIiIiVGMTcmNyYkIiMhKSIiISQiJCE9RjhGOSRGOEY4NyZGNiQiK0whKikqKioqKiEiKSQiKztYKioqKnpGP0Y7NyZGNiQiK2wheSoqKmZGPyQiK0whKikqKipSRj9GOzcmRjYkIiM/RjhGSEZILSUrUFJPSkVDVElPTkc2IyQiMUE5ZWgoKioqKioqKSEjOy0lLF9HTE9TU0lORVNTRzYjJCIjNSEiIi0lLE9SSUVOVEFUSU9ORzYkJCIyLSsrKysrKz8iISM6JCIjJClGOA==