A Galerkin spectral approximation in linearized beam theory
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
We address the issue of parameter variations in POD approximations of time-dependent problems, without any specific restriction on the form of parameter dependence. Considering a parabolic model problem, we propose a POD construction strategy allowing us to obtain some a priori error estimates controlled by the POD remainder – in the construction procedure – and some parameter-wise interpolation errors for the model solutions. We provide a thorough numerical assessment of this strategy with the...
A General Approach to Counterexamples in Numerical Analysis.
A General Convergence Theorem for the Reduced Gradient Method.
A General Extrapolation Algorithm.
A General framework for local interpolation.
A general Hilbert space approach to framelets.
A general iterative approach to variational inequality problems and optimization problems.
A general inequality of Grüss type.
A General Numerical Approach to Sensitivity Analysis and Error Analysis with Adjoint Systems
A general quadrature formula using zeros of spherical Bessel functions as nodes
We obtain, for entire functions of exponential type satisfying certain integrability conditions, a quadrature formula using the zeros of spherical Bessel functions as nodes. We deduce from this quadrature formula a result of Olivier and Rahman, which refines itself a formula of Boas.
A general scheme for constructing inversion algorithms for cone beam CT.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
A general theorem on triangular finite -elements
A Generalisation of Régula Falsi.
A Generalisation of Systematic Relaxation Methods for Consistently Ordered Matrices.
A generalization of Edelstein's theorem on fixed points and applications.
A Generalization of the Potential Method for Conditional Maxima on the Banach, Reflexive Spaces.
A generalization of the pre-Grüss inequality and applications to some quadrature formulae.