Solving elliptic problems using ELLPACK
Solving elliptic problems using ELLPACK
Tensor product generalized ADI methods for separable elliptic problems
SIAM Journal on Numerical Analysis
Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations
SIAM Journal on Numerical Analysis
Spline collocation methods for a class of hyperbolic partial integro-differential equations
SIAM Journal on Numerical Analysis
On the Iterative Solution of Hermite CollocationEquations
SIAM Journal on Matrix Analysis and Applications
Iterative algorithms for orthogonal spline collocation linear systems
SIAM Journal on Scientific Computing
Spline Collocation Differentiation Matrices
SIAM Journal on Numerical Analysis
Computation of invariant tori by orthogonal collocation
Applied Numerical Mathematics
COLSYS - - A Collocation Code for Boundary - Value Problems
Proceedings of a Working Conference on Codes for Boundary-Value Problems in Ordinary Differential Equations
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A class of collocation methods based on B-spline approximations is proposed for solving equations of linear elasticity. Methods can be easily implemented and provide a high order accuracy at low cost due to the nature of both B-spline approximation and collocation method, in which B-spline approximation can be generated by some classical recurrence formulas and no integrals are involved in the calculation. Methods are examined for two examples. Some direct and iterative algorithms for solving the B-spline collocation systems are discussed.