In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.
|Journal||Communications in Statistics: Simulation and Computation|
|Publication status||Published - 15 Oct 2019|
- Integral Fredholm equations of the second kind
- Lebesgue constant
- Numerical approximation
- Numerical stability of the used orthonormal bases
- Randomized projection and mesh functional algorithms