Determination of an optimal mesh for a collocation-projection method for solving two-point boundary value problems
DOI10.1016/0021-9045(79)90032-7zbMath0409.65036OpenAlexW2079987471MaRDI QIDQ1259145
Manohar L. Athavale, Grace Wahba
Publication date: 1979
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(79)90032-7
Ordinary Differential EquationsHilbert SpaceBoundary Value ProblemsApproximate SolutionLinear Operator EquationsReproducing KernelCollocation-Projection MethodsMesh-Point OptimizationOptimal MeshSequential Design of An Experiment
Stochastic approximation (62L20) Numerical solutions to equations with linear operators (65J10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Empirical decision procedures; empirical Bayes procedures (62C12) Linear boundary value problems for ordinary differential equations (34B05)
Cites Work
- Unnamed Item
- Regression design for some equivalence classes of kernels
- On the optimal choice of nodes in the collocation-projection method for solving linear operator equations
- On calculating with B-splines
- Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind
- A class of approximate solutions to linear operator equations
- Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
- Generalized Inverses in Reproducing Kernel Spaces: An Approach to Regularization of Linear Operator Equations
- Designs for Regression Problems with Correlated Errors
- On the Regression Design Problem of Sacks and Ylvisaker
- Collocation at Gaussian Points
- Theory of Reproducing Kernels
This page was built for publication: Determination of an optimal mesh for a collocation-projection method for solving two-point boundary value problems
