On the , and - version of the finite element method
On the Halley method in Banach spaces
We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.
On the hypoellipticity of pseudo-differential systems with a diagonal principal symbol
On the improved family of simultaneous methods for the inclusion of multiple polynomial zeros.
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with Qr-elements for the velocity and discontinuous -elements for the pressure where the order r can vary from element to element between 2 and a fixed bound . We prove the inf-sup condition uniformly with respect to the meshwidth h on general quadrilateral and hexahedral meshes with hanging nodes.
On the Integration of Stiff Systems of O.D.E.s Using Extended Backward Differentiation Formulae.
On the integration schemes of retrieving impulse response functions from transfer functions.
On the Invariance of Perturbed Null Vectors Under Column Scaling.
On the inverse eigenvalue problem for a special kind of acyclic matrices
We study an inverse eigenvalue problem (IEP) of reconstructing a special kind of symmetric acyclic matrices whose graph is a generalized star graph. The problem involves the reconstruction of a matrix by the minimum and maximum eigenvalues of each of its leading principal submatrices. To solve the problem, we use the recurrence relation of characteristic polynomials among leading principal minors. The necessary and sufficient conditions for the solvability of the problem are derived. Finally, a...
On the Inversion of the Attenuated Radon Transform.
On the iterative inclusion of solutions in initial value problems
On the iterative process of solving nonlinear operator equations in PTL-spaces
On the iterative process
On the iterative solution of finite element systems of equations
On the iterative solution of some nonlinear evolution equations
On the discrepancy of distances of points from a finite sequence
On the least quares fitting in a linear model.
On the Local Convergence of Certain Two Step Terative Procedures.
On the local convergence of Kung-Traub's two-point method and its dynamics
In this paper, the local convergence analysis of the family of Kung-Traub's two-point method and the convergence ball for this family are obtained and the dynamical behavior on quadratic and cubic polynomials of the resulting family is studied. We use complex dynamic tools to analyze their stability and show that the region of stable members of this family is vast. Numerical examples are also presented in this study. This method is compared with several widely used solution methods by solving test...
On the LU Factorization of M-Matrices.