2D adaptive residual subsampling for Radial Basis Functions: initcond(x,ctr,R) - File Exchange

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Highlights from
2D adaptive residual subsampling for Radial Basis Functions

Jburgers(t,u,epsilon,Dx,Dy,Dx... Jacobian of 2D Burgers' Equation
burgers(t,u,epsilon,Dx,Dy,Dxx... 2D Burgers' Equation
coarserefine2d(f,intrv,theta,... 2-D adaptive residual subsampling method for radial basis function
dorefine2d(ibox,select,firstg... Box refinement process
ibox=initboxes2d(n,z) Initial coarse discretization on z x z
initcond(x,ctr,R) function for initial condition
mq2d(x,xc,c) 2-D multiquadric radial basis function
predictor(xx,x,u,lambda,c) Use RBF to interpolate values at new set points
adaptburgers2d_mol.m
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from 2D adaptive residual subsampling for Radial Basis Functions by Alfa Heryudono
This program solves initial-boundary value problems particularly 2D Burgers' equation adaptively

initcond(x,ctr,R)

function z = initcond(x,ctr,R)
% function for initial condition  
N = size(x,1); z = zeros(N,1);
r = x - repmat(ctr,N,1);
r = sum(r.^2,2);
activer = sqrt(r) < R;

z(activer) = exp(r(activer)./(r(activer)-R^2));

Highlights from 2D adaptive residual subsampling for Radial Basis Functions

Highlights from
2D adaptive residual subsampling for Radial Basis Functions