Volume 10, Issue 1

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February 2012

Topical Issue: Advances in Numerical Analysis and Numerical Linear Algebra

Issue Editors:

Ljiljana Cvetković,
Sergey Korotov,
Victor Nistor,
Lubin Vulkov

27 articles in this issue

Editors’ preface for the topical issue “Advances in Numerical Analysis and Numerical Linear Algebra”
Ljiljana Cvetković
Sergey Korotov
Lubin Vulkov
Editorial Material 03 December 2011 Pages: 1 - 2
Generalizations of the Finite Element Method
Marc Alexander Schweitzer
Review Article 02 November 2011 Pages: 3 - 24
The discrete maximum principle for Galerkin solutions of elliptic problems
Tomáš Vejchodský
Research Article 27 August 2011 Pages: 25 - 43
Approximations of the partial derivatives by averaging
Josef Dalík
Research Article 24 October 2011 Pages: 44 - 54
Implicit a posteriori error estimation using patch recovery techniques
Tamás L. Horváth
Ferenc Izsák
Research Article 16 November 2011 Pages: 55 - 72
Analysis and numerical approximation of a parabolic-hyperbolic transmission problem
Boško S. Jovanović
Lubin G. Vulkov
Research Article 09 November 2011 Pages: 73 - 84
Opposing flows in a one dimensional convection-diffusion problem
Eugene O’Riordan
Research Article 17 November 2011 Pages: 85 - 100
A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space
Guang-hua Gao
Zhi-zhong Sun
Research Article 24 October 2011 Pages: 101 - 115
Spatially-dependent and nonlinear fluid transport: coupling framework
Jürgen Geiser
Research Article 17 November 2011 Pages: 116 - 136
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion
István Faragó
Ágnes Havasi
Robert Horváth
Research Article 06 August 2011 Pages: 137 - 149
The norm convergence of a Magnus expansion method
András Bátkai
Eszter Sikolya
Research Article 14 October 2011 Pages: 150 - 158
Richardson Extrapolation combined with the sequential splitting procedure and the θ-method
Zahari Zlatev
István Faragó
Ágnes Havasi
Research Article 07 October 2011 Pages: 159 - 172
Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation
Ujjwal Koley
Research Article 13 June 2011 Pages: 173 - 187
Computation of the fundamental solution of electrodynamics for anisotropic materials
Valery G. Yakhno
Handan Çerdik Yaslan
Tatiana M. Yakhno
Research Article 17 November 2011 Pages: 188 - 203
A brief review of some application driven fast algorithms for elliptic partial differential equations
Prabir Daripa
Review Article 18 October 2011 Pages: 204 - 216
A comparison of some efficient numerical methods for a nonlinear elliptic problem
Balázs Kovács
Research Article 02 August 2011 Pages: 217 - 230
Operator preconditioning with efficient applications for nonlinear elliptic problems
Janos Karátson
Review Article 29 June 2011 Pages: 231 - 249
Analytical approximation of the transition density in a local volatility model
Stefano Pagliarani
Andrea Pascucci
Research Article 05 November 2011 Pages: 250 - 270
About the computation of the signature of surface singularities z ^N + g(x, y) = 0
Muhammad Ahsan Banyamin
Gerhard Pfister
Stefan Steidel
Communication 16 August 2011 Pages: 271 - 276
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Vanesa Cortés
Juan Manuel Peña
Tomas Sauer
Research Article 24 October 2011 Pages: 277 - 291
An envelope for the spectrum of a matrix
Panayiotis J. Psarrakos
Michael J. Tsatsomeros
Research Article 02 November 2011 Pages: 292 - 302
On a nonnegative irreducible matrix that is similar to a positive matrix
Raphael Loewy
Research Article 02 November 2011 Pages: 303 - 311
A Brauer’s theorem and related results
Rafael Bru
Rafael Cantó
Ana M. Urbano
Research Article 05 November 2011 Pages: 312 - 321
A note on regularity and positive definiteness of interval matrices
Raena Farhadsefat
Taher Lotfi
Jiri Rohn
Research Article 16 November 2011 Pages: 322 - 328
Inertias and ranks of some Hermitian matrix functions with applications
Xiang Zhang
Qing-Wen Wang
Xin Liu
Research Article 17 November 2011 Pages: 329 - 351
Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis
Yuriy S. Volkov
Research Article 18 October 2011 Pages: 352 - 356
Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems
Maria Lymbery
Svetozar Margenov
Research Article 25 August 2011 Pages: 357 - 369

Volume 10, Issue 1

Editors’ preface for the topical issue “Advances in Numerical Analysis and Numerical Linear Algebra”

Generalizations of the Finite Element Method

The discrete maximum principle for Galerkin solutions of elliptic problems

Approximations of the partial derivatives by averaging

Implicit a posteriori error estimation using patch recovery techniques

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

Opposing flows in a one dimensional convection-diffusion problem

A finite difference approach for the initial-boundary value problem of the fractional Klein-Kramers equation in phase space

Spatially-dependent and nonlinear fluid transport: coupling framework

Numerical solution of the Maxwell equations in time-varying media using Magnus expansion

The norm convergence of a Magnus expansion method

Richardson Extrapolation combined with the sequential splitting procedure and the θ-method

Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation

Computation of the fundamental solution of electrodynamics for anisotropic materials

A brief review of some application driven fast algorithms for elliptic partial differential equations

A comparison of some efficient numerical methods for a nonlinear elliptic problem

Operator preconditioning with efficient applications for nonlinear elliptic problems

Analytical approximation of the transition density in a local volatility model

About the computation of the signature of surface singularities z ^N + g(x, y) = 0

Simultaneous triangularization of commuting matrices for the solution of polynomial equations

An envelope for the spectrum of a matrix

On a nonnegative irreducible matrix that is similar to a positive matrix

A Brauer’s theorem and related results

A note on regularity and positive definiteness of interval matrices

Inertias and ranks of some Hermitian matrix functions with applications

Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis

Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems

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