Code covered by the BSD License
-
T=t(x)
-
[A,B]=matr(m,a,b,c)
calculates the matrices A and B for the
-
[C,X,Y,T]=coef(f,n,ep)
-
[LAM,VEC,X,Y,x,w,W,A,B,C,D,J,...
calculates the normed eigenfunctions of the Laplace operator
-
[X,Y,A,B,C]=coord(fron,n,sc)
calculates the final grid with nxn interior nodes
-
[X,Y,a,b,c]=finalgrid(X,Y,sc)
Elliptic grid generation in two dimensions by Gauss-Seidel iteration
-
[X,Y]=startgrid(fron,n,sc)
calculates a starting grid
-
[lam,vec,X,Y,w]=valpr(N,P)
exact eigenvalues and eigenfunctions for the square domain
-
[rez,c]=asoc(c,m,lam,vec,X,Y,...
-
[u,X,Y,C]=poisson(N,ep)
Steady example 1
-
[vec,val,X,Y]=lapeigfun(fron,...
calculates the eigenvalues and the eigenfunctions
-
[x,w]=pd(n)
Nodes and weights for Gauss quadrature on the domain [-1,1]
-
[xb,yb]=bound(n,sc)
get boundary grid points by mouse for a general domain
-
[xb,yb]=boundL(n,sc)
get boundary grid points for a L-shaped domain
-
[xb,yb]=boundSQ(n,sc)
get boundary grid points for a square domain
-
plgr(n,sc,X,Y)
plot grid
-
poldif(x, malpha, B)
-
r=w(z,ep)
-
rez=f(x,y,ep)
-
rez=lambda(N)
exact eigenvalues
-
rez=nonlin(U,T,X,Y)
-
rez=nonlin(U,T,X,Y)
-
rez=nonlin2(V,X,Y)
-
rez=nonlin3(V,X,Y,D,dt)
-
blow.m
-
comb.m
-
combL.m
-
liscstartup.m
-
pnl.m
-
View all files
|
|
| File Information |
| Description |
LiScM2 is a MATLAB package for the numerical solutions of some partial differential evolution equations u_t+Lu=N(u,\nabla u), with boundary and initial conditions, where L is a 2D linear elliptic operator (Laplace operator for this version) and N is a nonlinear part.
The algorithm is based on the eigenfunctions expansion together with the Lyapunov-Schmidt reduction procedure. The eigenfunction basis of the linear part L of the problem is used to represent the solution at every time level and these eigenfunctions are calculated in a preprocessing stage. A boundary-fitted computational grid is generated in order to allow a complex geometry of the physical domain in the 2D case. |
| MATLAB release |
MATLAB 7.2 (R2006a)
|
|
Tags for This File
|
| Everyone's Tags |
|
| Tags I've Applied |
|
| Add New Tags |
Please login to tag files.
|
|
Contact us at files@mathworks.com
