On the use of Green’s formula for the solution of the Navier-Stokes equations
AbstractA general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables is considered. Using the fundamental solution for Laplace…
1991
Remarks on the secant method for the solution of nonlinear operator equations
Abstract Let \(X_{1},X_{2}\) be two Banach spaces and \(f:X_{1}\rightarrow X_{2}\) a nonlinear equation. We study the chord method for solving…
On the convergency of a Steffensen-type method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping. We study the convergence of the Steffensen method for…
On the chord method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping and consider the chord method for solving the…
Publications
On high-order conforming finite element methods for ill-posed Helmholtz problems
Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first review the conditional stability of this problem and then discuss…
Read More On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators
Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate some approximation properties of this new class. The evaluation of…
Read More Tikhonov regularization of a perturbed heavy ball system with vanishing damping
AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection to the minimization problem of a convex Fréchet differentiable function.…
Read More Publication Fields
- (original) (365)
- (preprint) (22)
- (proceedings) (32)
- (survey) (3)
- Announcements (35)
- Approximation Theory (28)
- book chapter (4)
- Books (26)
- Chebyshev method (4)
- Convergence orders (10)
- divided differences (10)
- eigenvalue/eigenvector problems (14)
- finite differences (FD) (4)
- Finite element (FEM) (17)
- Fixed point theory (26)
- global random walk (18)
- history (4)
- inexact/perturbed iterations (11)
- inverse interpolation (11)
- ISI/JCR (163)
- iterative methods (38)
- Krylov methods (6)
- Linear and positive approximation operators (4)
- linear systems in Rn (7)
- local convergence (20)
- metals and alloys casting (12)
- Meteorology (5)
- Monte Carlo simulations (5)
- Newton method (23)
- nonlinear equations in Banach spaces (6)
- nonlinear equations in R (12)
- nonlinear systems in Rn (11)
- Numerical Analysis (141)
- Numerical Modeling (103)
- ODEs (5)
- Optimization (6)
- paper (422)
- PDEs (29)
- Schulz type iterations (2)
- secant/chord method (6)
- semilocal convergence (8)
- spectral methods (7)
- Steffenssen methods (7)
- successive approximations (6)
- talk (4)
- Time Series (15)
- Uncategorized (1)