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ANALYSIS OF A NEW ERROR ESTIMATE FOR COLLOCATION METHODS APPLIED TO SINGULAR BOUNDARY VALUE PROBLEMS WINFRIED AUZINGER, OTHMAR KOCH, AND EWA WEINMULLER y Abstract. We discuss an a-posteriori.
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Winfried Auzinger; Article. 45 Downloads; 6 Citations; Summary. The present paper is concerned with the study of a high-order defect correction technique for discretizations of nonlinear elliptic boundary value problems. The convergence of the method is analyzed in general and, in more detail, for a specific example. The algorithmic combination of defect correction and multigrid techniques is.
Essays for The Emigrants. The Emigrants essays are academic essays for citation. These papers were written primarily by students and provide critical analysis of The Emigrants by W.G. Sebald. A Discussion on W.G. Sebald's The Emigrants.
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Winfried Auzinger: Ph.D. w.auzinger (at) tuwien.ac.at: TU Wien, Austria, Institute of Analysis and Scientific Computing Vienna, Austria: I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license. First publshed on this website: 03.09.2019 - 20:19. Abstract. This is a numerical study of ODE systems modelling the dynamics of a strongly.
Multiscale methods and analysis for the Dirac equation in the nonrelativistic limit regime Joint work with: Yongyong Cai, Xiaowei Jia, Qinglin Tang and Jia Yin. In this talk, I will review our recent works on numerical methods and analysis for solv-ing the Dirac equation in the nonrelativistic limit regime, involving a small dimensionless.
Recurrent Analysis of Greenhouse Complex Time Series as a Complicated System. Corresponding Author:. Corresponding Author: Winfried Auzinger. Structure of Intellectual System for Optimize Self-Consumption of Energy Produced by Solar Panels in MicroGrid. Corresponding Author: Dennis Kuznetsov. Computer-assisted translation systems: peculiarities of their usage as tools for working on a.
Tobias Jawecki. Adaptive exponential Krylov propagators (Supervisor: Winfried Auzinger). Short bio: Tobias earned his BSc and MSc degree in mathematics at TU Wien. His master thesis on numerical bifurcation analysis, which covered a wide range of numerical methods and PDEs, strengthened his wish to work on applied mathematics.
This article is based on earlier papers where an approach based on Taylor expansion and the structure of its leading term as an element of a free Lie algebra.
As an application of the BCH-formula, order conditions for splitting schemes are derived. The same conditions can be obtained by using non-commutative power.
We assess the applicability and efficiency of time-adaptive high-order splitting methods applied for the numerical solution of (systems of) nonlinear parabolic.
We investigate efficient asymptotically correct a posteriori error estimates for the numerical approximation of two-point boundary value problems for second order.