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Winfried Auzinger
Winfried Auzinger
Professor, TU Wien
Verified email at tuwien.ac.at - Homepage
Title
Cited by
Cited by
Year
An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations
W Auzinger, HJ Stetter
Numerical Mathematics Singapore 1988: Proceedings of the International …, 1988
2661988
A collocation code for singular boundary value problems in ordinary differential equations
W Auzinger, G Kneisl, O Koch, E Weinmüller
Numerical Algorithms 33, 27-39, 2003
972003
Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case
W Auzinger, R Frank
Numerische Mathematik 56, 469-499, 1989
711989
Efficient collocation schemes for singular boundary value problems
W Auzinger, O Koch, E Weinmüller
Numerical Algorithms 31, 5-25, 2002
642002
Analysis of a new error estimate for collocation methods applied to singular boundary value problems
W Auzinger, O Koch, E Weinmüller
SIAM Journal on Numerical Analysis 42 (6), 2366-2386, 2005
582005
Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
W Auzinger, H Hofstätter, D Ketcheson, O Koch
BIT Numerical Mathematics 57, 55-74, 2017
422017
Iterative solution of large linear systems
W Auzinger, J Melenk
Lecture notes, TU Wien, 2011
422011
Defect corrections and multigrid iterations
W Auzinger, HJ Stetter
Multigrid Methods: Proceedings of the Conference Held at Köln-Porz, November …, 2006
382006
Modified defect correction algorithms for ODEs. Part I: General theory
W Auzinger, H Hofstätter, W Kreuzer, E Weinmüller
Numerical Algorithms 36, 135-155, 2004
362004
Fast stray field computation on tensor grids
L Exl, W Auzinger, S Bance, M Gusenbauer, F Reichel, T Schrefl
Journal of computational physics 231 (7), 2840-2850, 2012
352012
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems
W Auzinger, O Koch, M Thalhammer
Journal of computational and applied mathematics 255, 384-403, 2014
342014
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
W Auzinger, E Karner, O Koch, E Weinmuller
Opuscula Mathematica 26 (2), 229-241, 2006
322006
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case
W Auzinger, H Hofstätter, O Koch, M Thalhammer
Journal of computational and applied mathematics 273, 182-204, 2015
292015
Asymptotic error expansions for stiff equations: the implicit Euler scheme
W Auzinger, R Frank, F Macsek
SIAM journal on numerical analysis 27 (1), 67-104, 1990
291990
Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
W Auzinger, W Herfort
Opuscula Mathematica 34 (2), 243--256, 2014
282014
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case
W Auzinger, O Koch, M Thalhammer
Journal of Computational and Applied Mathematics 236 (10), 2643-2659, 2012
282012
SBVP 1.0–A MATLAB solver for singular boundary value problems
W Auzinger, G Kneisl, O Koch, E Weinmüller
Institute for Appl. Math. and Numer. Anal., Vienna University of Technology …, 2002
272002
Efficient mesh selection for collocation methods applied to singular BVPs
W Auzinger, O Koch, E Weinmüller
Journal of computational and applied mathematics 180 (1), 213-227, 2005
262005
Accurate arithmetic results for decimal data on non-decimal computers
W Auzinger, HJ Stetter
Computing 35 (2), 141-151, 1985
241985
A note on convergence concepts for stiff problems
W Auzinger, R Frank, G Kirlinger
Computing 44 (3), 197-208, 1990
231990
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