we study the numerical approximation of the nonlinear Volterra-F'redholm integral equations by combining the discrete time collocation method [I] and the new formulation of Kumar and Sloan [2], which converts an integral equation of the conventional Hammerstein form into a conductive form for approx
A posteriori error estimates for the solution of nonlinear ill-posed operator equations
β Scribed by Otmar Scherzer
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 173 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we investigate the convergence behavior of a Runge-Kutta type modified Landweber method for nonlinear ill-posed operator equations. In order to improve the stability and convergence of the Landweber iteration, a 2-stage Gauss-type Runge-Kutta method is applied to the continuous analog
We study the backward Euler method with variable time steps for abstract evolution equations in Hilbert spaces. Exploiting convexity of the underlying potential or the angle-bounded condition, thereby assuming no further regularity, we derive novel a posteriori estimates of the discretization error
In part I of this investigation, we proved that the standard a posteriori estimates, based only on local computations, may severely underestimate the exact error for the classes of wave-numbers and the types of meshes employed in engineering analyses. We showed that this is due to the fact that the