**fem1d_lagrange**,
a MATLAB code which
sets up the matrices and vectors associated with the finite element
method (FEM) solution of a boundary value problem (BVP) -u''+u=f(x),
using Lagrange basis polynomials.

The computer code and data files made available on this web page are distributed under the MIT license

**fem1d_lagrange** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version.

fem1d, a MATLAB code which applies the finite element method (FEM) to a 1D linear two point boundary value problem (BVP).

fem1d_spectral_numeric, a MATLAB code which applies the spectral finite element method (FEM) to solve the two point boundary value problem (BVP_ u'' = - pi^2 sin(x) over [-1,+1] with zero boundary conditions, using as basis elements the functions x^n*(x-1)*(x+1), and carrying out the integration numerically, using MATLAB's quad() function, by Miro Stoyanov.

lagrange_interp_1d, a MATLAB code which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).

- fem1d_lagrange_stiffness.m computes the stiffness matrix, mass matrix, and right hand side for a finite element problem that uses Lagrange basis polynomials.
- lagrange_derivative.m, evaluates the derivative of Lagrange basis polynomials.
- lagrange_value.m, evaluates the Lagrange basis polynomials.
- legendre_set.m, sets the points and weights of a Legendre quadrature rule.
- r8vec_print.m, prints an R8VEC.