
Projection methods are commonly used to approximate solutions of ordinary and partial differential equations. A basis of the subspace under consideration is needed to apply the projection method. This paper discusses methods of obtaining a basis for piecewise polynomial Hermite subspaces. A simple recursive procedure is derived for generating piecewise Hermite polynomials. These polynomials are then used to obtain approximate solutions of differential equations.
Numerical solution of boundary value problems involving ordinary differential equations, Computation of special functions and constants, construction of tables, Numerical methods for ordinary differential equations, Numerical methods for functional equations
Numerical solution of boundary value problems involving ordinary differential equations, Computation of special functions and constants, construction of tables, Numerical methods for ordinary differential equations, Numerical methods for functional equations
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