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1

Shooting methods for state-dependent impulsive boundary value problems, with applications

Auzinger, Winfried, Burkotová, Jana, Rachůnková, Irena, Wenin, Victor

Journal:

Applied Numerical Mathematics

Année:

2018

Langue:

english

Fichier:

PDF, 2.37 MB

english, 2018

2

Vienna contributions to the development of RK-methods

Winfried Auzinger, Reinhard Frank, Hans J. Stetter

Journal:

Applied Numerical Mathematics

Année:

1996

Langue:

english

Fichier:

PDF, 1.02 MB

english, 1996

3

Knee joint kinematics: comparison of two optimization models with respect to data noise

Irene Reichl, Winfried Auzinger, Heinz-Bodo Schmiedmayer, Ewa Weinmüller

Journal:

Année:

2011

Langue:

english

Fichier:

PDF, 176 KB

english, 2011

4

Rational multistep methods via modified φj-functions

Winfried Auzinger, Magdalena Łapińska

Journal:

Année:

2011

Langue:

english

Fichier:

PDF, 202 KB

english, 2011

5

Defect correction for nonlinear elliptic difference equations

Winfried Auzinger

Journal:

Numerische Mathematik

Année:

1987

Langue:

english

Fichier:

PDF, 400 KB

english, 1987

6

A quantitative discrete H2-regularity estimate for the Shortley-Weller scheme in convex domains

Winfried Auzinger

Journal:

Numerische Mathematik

Année:

1987-1988

Langue:

english

Fichier:

PDF, 572 KB

english, 1987-1988

7

On the stability and error structure of BDF schemes applied to linear parabolic evolution equations

Winfried Auzinger, Felix Kramer

Journal:

BIT Numerical Mathematics

Année:

2010

Langue:

english

Fichier:

PDF, 620 KB

english, 2010

8

An efficient asymptotically correct error estimator for

Winfried Auzinger, Herbert Lehner, Ewa Weinmüller

Journal:

BIT Numerical Mathematics

Année:

2011

Langue:

english

Fichier:

PDF, 747 KB

english, 2011

9

New a posteriori error estimates for singular boundary value problems

Winfried Auzinger, Othmar Koch, Dirk Praetorius, Ewa Weinmüller

Journal:

Numerical Algorithms

Année:

2005

Langue:

english

Fichier:

PDF, 310 KB

english, 2005

10

Efficient Collocation Schemes for Singular Boundary Value Problems

Winfried Auzinger, Othmar Koch, Ewa Weinmüller

Journal:

Numerical Algorithms

Année:

2002

Langue:

english

Fichier:

PDF, 152 KB

english, 2002

11

Convergence of rational multistep methods of Adams-Padé type

Winfried Auzinger, Magdalena Łapińska

Journal:

BIT Numerical Mathematics

Année:

2012

Langue:

english

Fichier:

PDF, 599 KB

english, 2012

12

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case

Winfried Auzinger, Othmar Koch, Mechthild Thalhammer

Journal:

Journal of Computational and Applied Mathematics

Année:

2012

Langue:

english

Fichier:

PDF, 304 KB

english, 2012

13

Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems

Winfried Auzinger, Othmar Koch and Ewa Weinmüller

Journal:

SIAM Journal on Numerical Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 560 KB

english, 2005

14

Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems

Auzinger, Winfried, Koch, Othmar, Weinmüller, Ewa

Journal:

SIAM Journal on Numerical Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 247 KB

english, 2005

15

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems

Auzinger, Winfried, Koch, Othmar, Thalhammer, Mechthild

Journal:

Journal of Computational and Applied Mathematics

Année:

2014

Langue:

english

Fichier:

PDF, 520 KB

english, 2014

16

Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations

Auzinger, Winfried, Koch, Othmar, Saboor Bagherzadeh, Amir

Journal:

BIT Numerical Mathematics

Année:

2014

Langue:

english

Fichier:

PDF, 367 KB

english, 2014

17

Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part III: The nonlinear case

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar, Thalhammer, Mechthild

Journal:

Journal of Computational and Applied Mathematics

Année:

2015

Langue:

english

Fichier:

PDF, 518 KB

english, 2015

18

Defect corrections for multigrid solutions of the Dirichlet problem in general domains

Auzinger, Winfried

Journal:

Mathematics of Computation

Année:

1987

Langue:

english

Fichier:

PDF, 1.05 MB

english, 1987

19

Defect-based local error estimators for high-order splitting methods involving three linear operators

Auzinger, Winfried, Koch, Othmar, Thalhammer, Mechthild

Journal:

Numerical Algorithms

Année:

2015

Langue:

english

Fichier:

PDF, 577 KB

english, 2015

20

Reconstructing the knee joint mechanism from kinematic data

Reichl, Irene, Auzinger, Winfried, Schmiedmayer, Heinz-Bodo, Weinmüller, Ewa

Journal:

Mathematical and Computer Modelling of Dynamical Systems

Année:

2010

Langue:

english

Fichier:

PDF, 442 KB

english, 2010

21

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Error Estimation Techniques Based on Defect Computation and Global Reconstruction

Auzinger, Winfried, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Année:

2010

Langue:

english

Fichier:

PDF, 101 KB

english, 2010

22

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - Representation of the local error for higher-order exponential splitting schemes involving two or three sub-operators

Auzinger, Winfried, Koch, Othmar, Thalhammer, Mechthild

Année:

2015

Langue:

english

Fichier:

PDF, 233 KB

english, 2015

23

[untitled]

Review by: Winfried Auzinger

Journal:

Mathematics of Computation

Année:

1998

Langue:

english

Fichier:

PDF, 188 KB

english, 1998

24

Defect Corrections for Multigrid Solutions of the Dirichlet Problem in General Domains

Winfried Auzinger

Journal:

Mathematics of Computation

Année:

1987

Langue:

english

Fichier:

PDF, 355 KB

english, 1987

25

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

Auzinger, Winfried, Hofstätter, Harald, Ketcheson, David, Koch, Othmar

Journal:

BIT Numerical Mathematics

Année:

2017

Langue:

english

Fichier:

PDF, 540 KB

english, 2017

26

Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions

Auzinger, Winfried, Koch, Othmar, Quell, Michael

Journal:

Numerical Algorithms

Année:

2017

Langue:

english

Fichier:

PDF, 1.20 MB

english, 2017

27

Identifying Tibio-Femoral Joint Kinematics: Individual Adjustment versus Numerical Robustness*

Reichl, Irene, Auzinger, Winfried

Journal:

IFAC Proceedings Volumes

Année:

2012

Langue:

english

Fichier:

PDF, 190 KB

english, 2012

28

Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation

Auzinger, Winfried, Kassebacher, Thomas, Koch, Othmar, Thalhammer, Mechthild

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 895 KB

english, 2017

29

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016) - Rhodes, Greece (19–25 September 2016)] - Reduced order of the local error of splitting for parabolic problems

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar, Thalhammer, Mechthild

Année:

2017

Langue:

english

Fichier:

PDF, 107 KB

english, 2017

30

An improved local error estimator for symmetric time-stepping schemes

Auzinger, Winfried, Koch, Othmar

Journal:

Applied Mathematics Letters

Année:

2018

Langue:

english

Fichier:

PDF, 590 KB

english, 2018

31

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations

Auzinger, Winfried, Březinová, Iva, Hofstätter, Harald, Koch, Othmar, Quell, Michael

Journal:

Computer Physics Communications

Année:

2018

Langue:

english

Fichier:

PDF, 1.47 MB

english, 2018

32

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar

Journal:

Journal of Computational and Applied Mathematics

Année:

2019

Langue:

english

Fichier:

PDF, 636 KB

english, 2019

33

Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar

Journal:

Journal of Computational and Applied Mathematics

Année:

2019

Fichier:

PDF, 636 KB

2019

34

Non-existence of generalized splitting methods with positive coefficients of order higher than four

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar

Journal:

Applied Mathematics Letters

Année:

2019

Langue:

english

Fichier:

PDF, 631 KB

english, 2019

35

Computable upper error bounds for Krylov approximations to matrix exponentials and associated $${\varvec{\varphi }}$$ φ -functions

Jawecki, Tobias, Auzinger, Winfried, Koch, Othmar

Journal:

BIT Numerical Mathematics

Année:

2019

Langue:

english

Fichier:

PDF, 889 KB

english, 2019

36

OMNET++ and Maple software environments for IT Bachelor studies

Dronyuk, Ivanna, Fedevych, Olga, Stolyarchuk, Roksolyana, Auzinger, Winfried

Journal:

Procedia Computer Science

Année:

2019

Langue:

english

Fichier:

PDF, 900 KB

english, 2019

37

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime

Auzinger, Winfried, Hofstätter, Harald, Koch, Othmar, Kropielnicka, Karolina, Singh, Pranav

Journal:

Applied Mathematics and Computation

Année:

2019

Langue:

english

Fichier:

PDF, 610 KB

english, 2019

38

[IEEE 2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) - Lviv, Ukraine (2020.4.22-2020.4.26)] 2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) - Adaptive Numerics for Linear ODE Systems with Time-Dependent Data; Application in Photovoltaics

Auzinger, Winfried, Pukach, Petro, Stolyarchuk, Roksolyana, Vovk, Myroslava

Année:

2020

Fichier:

PDF, 432 KB

2020

39

[IEEE 2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) - Lviv, Ukraine (2020.4.22-2020.4.26)] 2020 IEEE XVIth International Conference on the Perspective Technologies and Methods in MEMS Design (MEMSTECH) - The Studying of Hydrogen Diffusion Non-Stationary Processes Near a Crack in the Field of Heterogeneous Mechanical Tensions for the Encapsulated MEMS Devices

Auzinger, Winfried, Stolyarchuk, Roksolyana, Pelekh, Yaroslav, Kozar, Oksana, Mentynskyi, Serhii, Ihnatyshyn, Mykola

Année:

2020

Fichier:

PDF, 362 KB

2020