
doi: 10.1007/bf01930899
Collocation methods based on piecewise Hermite cubic polynomials are applied to linear elliptic problems subject to Dirichlet and Neumann boundary conditions on rectangular domains. A priori estimates are obtained for the error of approximation.
Splines, Optimal Order, Computer Sciences, Method of lines for boundary value problems involving PDEs, Linear Elliptic Problems, Partial Differential Equations, Dirichlet and Neumann Boundary Conditions, Collocation Methods, Numerical Results, Numerical computation using splines, Spline approximation, Boundary value problems for second-order elliptic equations, Spectral, collocation and related methods for boundary value problems involving PDEs, Hermite Cubic Polynomials, a Priori Estimates
Splines, Optimal Order, Computer Sciences, Method of lines for boundary value problems involving PDEs, Linear Elliptic Problems, Partial Differential Equations, Dirichlet and Neumann Boundary Conditions, Collocation Methods, Numerical Results, Numerical computation using splines, Spline approximation, Boundary value problems for second-order elliptic equations, Spectral, collocation and related methods for boundary value problems involving PDEs, Hermite Cubic Polynomials, a Priori Estimates
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