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Author ID: schonauer.willi Recent zbMATH articles by "Schönauer, Willi"
Published as: Schönauer, W.; Schönauer, Willi; Schoenauer, W.

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 99 times in 69 Documents Cited by Year
Efficient vectorizable PDE solvers. Zbl 0677.65098
Schönauer, W.; Weiß, R.
25
1989
How we solve PDEs. Zbl 0982.65113
Schönauer, Willi; Adolph, Torsten
13
2001
Numerical engineering: Experiences in designing PDE software with selfadaptive variable step size/variable order difference methods. Zbl 0565.65073
Schönauer, W.; Schnepf, E.; Raith, K.
5
1984
The principle of the difference of difference quotients as a key to the self-adaptive solution of nonlinear partial differential equations. Zbl 0474.65072
Schönauer, Willi; Raith, Karlheinz; Glotz, Gerhard
5
1981
Accelerating generalized conjugate gradient methods by smoothing. Zbl 0785.65045
Weiss, Rüdiger; Schönauer, Willi
4
1992
Generation of difference and error formulae of arbitrary consistency order on an unstructured grid. Zbl 0925.65175
Schönauer, W.
4
1998
An engineering approach to generalized conjugate gradient methods and beyond. Zbl 0854.65030
Schönauer, Willi; Weiss, Rüdiger
4
1995
Ein Differenzenverfahren zur Lösung der Grenzschichtgleichung für stationäre, laminare, inkompressible Strömung. Zbl 0123.21501
Schönauer, W.
4
1964
A black-box solver for the solution of general nonlinear functional equations by mixed FEM. Zbl 0812.65097
Grosz, L.; Roll, C.; Schönauer, W.
3
1994
Software considerations for the “black box” solver FIDISOL for partial differential equations. Zbl 0636.65109
Schönauer, Willi; Schnepf, Eric
3
1987
Die Lösung der dreidimensionalen instationären Navier-Stokes- Gleichungen mit dem Differenzenverfahren. Zbl 0217.25103
Schönauer, W.
2
1970
The generation of high-quality difference and error formulae of arbitrary order on 3-D unstructured grids. Zbl 0986.65097
Adolph, T.; Schönauer, W.
2
2001
FDEM: How we make the FDM more flexible than the FEM. Zbl 1027.65151
Schönauer, Willi; Adolph, Torsten
2
2003
Polyalgorithms with automatic method selection for the iterative solution of linear equations and eigenproblems. (With discussion). Zbl 0762.65023
Schönauer, W.; Weiss, R.; Sternecker, P.
2
1992
The solution of the laminar boundary layer equations by a variable order selfadaptive difference method. Zbl 0467.76038
Schönauer, W.; Glotz, G.; Raith, K.
2
1980
Ein selbststeuerndes Lösungsverfahren für große Systeme von gewöhnlichen Differentialgleichungen, wie sie zum Beispiel aus der Linienmethode resultieren. Zbl 0416.65053
Schönauer, W.; Raith, K.; Glotz, G.
1
1979
Numerical experiments with a difference model for the Navier-Stokes equations (turbulence model). Zbl 0197.53102
Schönauer, W.
1
1969
Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL. Zbl 0994.65037
Schönauer, Willi; Häfner, Hartmut
1
2002
The integration of different variants of the (I)LU algorithm in the LINSOL program package. Zbl 0994.65038
Häfner, Hartmut; Schönauer, Willi
1
2002
Numerical engineering: Design of PDE black-box solvers. Zbl 0978.65082
Schönauer, Willi
1
2000
Development of a black-box solver for nonlinear systems of elliptic and parabolic PDE’s. Zbl 0968.65058
Schönauer, W.; Adolph, T.
1
2000
Beitrag zur numerischen Lösung der Grenzschichtgleichungen bei chemischem Nichtgleichgewicht. Zbl 0314.76053
Schönauer, W.; Spreuer, H.; Straub, D.; Adams, E.
1
1974
Untersuchungen zur Entwicklung effektiver Lösungsverfahren für Grenzschichtgleichungen. Zbl 0318.76016
Grüning, J.; Schönauer, W.
1
1975
The concept of dividing lines/surfaces for the finite difference element method (FDEM). Zbl 1422.65365
Adolph, T.; Schönauer, W.
1
2002
Iterative methods for linear equations. Proceedings of a session held at the 14th IMACS world congress on computation and applied mathematics, Atlanta, GA, USA, July 11-15, 1994. Zbl 0847.00043
1
1995
Lösung der Navier-Stokes-Gleichungen für die quadratische Kaverne mit einem fehlerüberwachten Differenzenverfahren beliebiger Ordnung. Zbl 0461.76019
Glotz, G.; Schönauer, W.; Raith, K.
1
1980
Designing PDE software for vector computers as a ”data flow algorithm”. Zbl 0581.65074
Schönauer, W.; Schnepf, E.; Müller, H.
1
1985
The generation of difference and error formulae for arbitrary 2-D and 3-D grids and arbitrary order. Zbl 0596.65057
Schönauer, W.; Wietschorke, H.
1
1986
Experiences with the numerical solution of the 3-D laminar boundary layer equations in streamline coordinates. Zbl 0612.76041
Schönauer, W.; Häfele, K.
1
1987
The calculation of streamline-potentialline coordinates for configurations which are given only by a set of points. Zbl 0556.76004
Schönauer, W.; Häfele, K.; Raith, K.
1
1984
FIDISOL: A ‘black box’ solver for partial differential equations. Zbl 0633.65100
Schönauer, Willi; Schnepf, Eric
1
1988
Data reduction (DARE) preconditioning for generalized conjugate gradient methods. Zbl 0714.65033
Weiss, R.; Schönauer, W.
1
1990
Surprising numerical effect of two corner singularities. Zbl 0729.76537
Schoenauer, W.; Schmauder, M.; Weiss, R.
1
1991
Variable step size/variable order PDE solver with global optimisation. Zbl 1185.90190
Schönauer, W.; Schnepf, E.; Müller, H.
1
1986
FDEM: How we make the FDM more flexible than the FEM. Zbl 1027.65151
Schönauer, Willi; Adolph, Torsten
2
2003
Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL. Zbl 0994.65037
Schönauer, Willi; Häfner, Hartmut
1
2002
The integration of different variants of the (I)LU algorithm in the LINSOL program package. Zbl 0994.65038
Häfner, Hartmut; Schönauer, Willi
1
2002
The concept of dividing lines/surfaces for the finite difference element method (FDEM). Zbl 1422.65365
Adolph, T.; Schönauer, W.
1
2002
How we solve PDEs. Zbl 0982.65113
Schönauer, Willi; Adolph, Torsten
13
2001
The generation of high-quality difference and error formulae of arbitrary order on 3-D unstructured grids. Zbl 0986.65097
Adolph, T.; Schönauer, W.
2
2001
Numerical engineering: Design of PDE black-box solvers. Zbl 0978.65082
Schönauer, Willi
1
2000
Development of a black-box solver for nonlinear systems of elliptic and parabolic PDE’s. Zbl 0968.65058
Schönauer, W.; Adolph, T.
1
2000
Generation of difference and error formulae of arbitrary consistency order on an unstructured grid. Zbl 0925.65175
Schönauer, W.
4
1998
An engineering approach to generalized conjugate gradient methods and beyond. Zbl 0854.65030
Schönauer, Willi; Weiss, Rüdiger
4
1995
Iterative methods for linear equations. Proceedings of a session held at the 14th IMACS world congress on computation and applied mathematics, Atlanta, GA, USA, July 11-15, 1994. Zbl 0847.00043
1
1995
A black-box solver for the solution of general nonlinear functional equations by mixed FEM. Zbl 0812.65097
Grosz, L.; Roll, C.; Schönauer, W.
3
1994
Accelerating generalized conjugate gradient methods by smoothing. Zbl 0785.65045
Weiss, Rüdiger; Schönauer, Willi
4
1992
Polyalgorithms with automatic method selection for the iterative solution of linear equations and eigenproblems. (With discussion). Zbl 0762.65023
Schönauer, W.; Weiss, R.; Sternecker, P.
2
1992
Surprising numerical effect of two corner singularities. Zbl 0729.76537
Schoenauer, W.; Schmauder, M.; Weiss, R.
1
1991
Data reduction (DARE) preconditioning for generalized conjugate gradient methods. Zbl 0714.65033
Weiss, R.; Schönauer, W.
1
1990
Efficient vectorizable PDE solvers. Zbl 0677.65098
Schönauer, W.; Weiß, R.
25
1989
FIDISOL: A ‘black box’ solver for partial differential equations. Zbl 0633.65100
Schönauer, Willi; Schnepf, Eric
1
1988
Software considerations for the “black box” solver FIDISOL for partial differential equations. Zbl 0636.65109
Schönauer, Willi; Schnepf, Eric
3
1987
Experiences with the numerical solution of the 3-D laminar boundary layer equations in streamline coordinates. Zbl 0612.76041
Schönauer, W.; Häfele, K.
1
1987
The generation of difference and error formulae for arbitrary 2-D and 3-D grids and arbitrary order. Zbl 0596.65057
Schönauer, W.; Wietschorke, H.
1
1986
Variable step size/variable order PDE solver with global optimisation. Zbl 1185.90190
Schönauer, W.; Schnepf, E.; Müller, H.
1
1986
Designing PDE software for vector computers as a ”data flow algorithm”. Zbl 0581.65074
Schönauer, W.; Schnepf, E.; Müller, H.
1
1985
Numerical engineering: Experiences in designing PDE software with selfadaptive variable step size/variable order difference methods. Zbl 0565.65073
Schönauer, W.; Schnepf, E.; Raith, K.
5
1984
The calculation of streamline-potentialline coordinates for configurations which are given only by a set of points. Zbl 0556.76004
Schönauer, W.; Häfele, K.; Raith, K.
1
1984
The principle of the difference of difference quotients as a key to the self-adaptive solution of nonlinear partial differential equations. Zbl 0474.65072
Schönauer, Willi; Raith, Karlheinz; Glotz, Gerhard
5
1981
The solution of the laminar boundary layer equations by a variable order selfadaptive difference method. Zbl 0467.76038
Schönauer, W.; Glotz, G.; Raith, K.
2
1980
Lösung der Navier-Stokes-Gleichungen für die quadratische Kaverne mit einem fehlerüberwachten Differenzenverfahren beliebiger Ordnung. Zbl 0461.76019
Glotz, G.; Schönauer, W.; Raith, K.
1
1980
Ein selbststeuerndes Lösungsverfahren für große Systeme von gewöhnlichen Differentialgleichungen, wie sie zum Beispiel aus der Linienmethode resultieren. Zbl 0416.65053
Schönauer, W.; Raith, K.; Glotz, G.
1
1979
Untersuchungen zur Entwicklung effektiver Lösungsverfahren für Grenzschichtgleichungen. Zbl 0318.76016
Grüning, J.; Schönauer, W.
1
1975
Beitrag zur numerischen Lösung der Grenzschichtgleichungen bei chemischem Nichtgleichgewicht. Zbl 0314.76053
Schönauer, W.; Spreuer, H.; Straub, D.; Adams, E.
1
1974
Die Lösung der dreidimensionalen instationären Navier-Stokes- Gleichungen mit dem Differenzenverfahren. Zbl 0217.25103
Schönauer, W.
2
1970
Numerical experiments with a difference model for the Navier-Stokes equations (turbulence model). Zbl 0197.53102
Schönauer, W.
1
1969
Ein Differenzenverfahren zur Lösung der Grenzschichtgleichung für stationäre, laminare, inkompressible Strömung. Zbl 0123.21501
Schönauer, W.
4
1964
all top 5

Cited by 82 Authors

14 Radu, Eugen
14 Schönauer, Willi
11 Kunz, Jutta
8 Kleihaus, Burkhard
6 Herdeiro, Carlos A. R.
3 Adolph, Torsten
3 Bieniasz, Lesław K.
3 Brihaye, Yves
3 Delgado, Jorge F. M.
3 Weiss, Rüdiger
2 Collodel, Lucas G.
2 Delsate, Térence
2 Fernandes, Pedro G. S.
2 Häfner, Hartmut
2 Jbilou, Khalide
2 Mulryne, David J.
2 Navarro-Lérida, Francisco
2 Neemann, Ulrike
2 Perapechka, Ilya
2 Sadok, Hassane
2 Sonar, Thomas
2 Trompert, R. A.
2 van der Bij, J. J.
2 Verwer, Jan G.
1 Adams, Ernst Wilhelm
1 Astefanesei, Dumitru
1 Bayona, Victor
1 Berti, Emanuele
1 Blom, Joke G.
1 Burrage, Kevin
1 Cai, Qingdong
1 Cao, Mengjuan
1 Chenoweth, Samuel K. M.
1 Chernyshenko, I. S.
1 Cross, Mark
1 Davydov, Oleg V.
1 Debrabant, Kristian
1 Ding, Hang
1 dos Santos Costa Filho, Etevaldo
1 Fornberg, Bengt
1 Geissler, Wolfgang
1 Glotz, Gerhard
1 González-Rodríguez, Pedro
1 Gutknecht, Martin H.
1 Häfele, K.
1 Heyouni, Mohammed
1 Huang, Hyat
1 Ibadov, Rustam
1 Ierotheou, Constantinos S.
1 Kindelan, Manuel Segura
1 Lang, Jens
1 Liao, Fucheng
1 Livramento, Leandro Roza
1 Maksimyuk, V. A.
1 Moore, Peter K.
1 Moscoso, Miguel
1 Netuzhylov, Hennadiy
1 Oanh, Dang Thi
1 Ooi, Andrew S. H.
1 Raith, Karlheinz
1 Ramos, Juan I.
1 Richards, C. W.
1 Rittmann, K.
1 Rodríguez, María J. G.
1 Schnepf, Eric
1 Shnir, Yakov M.
1 Shu, Chang
1 Sidje, Roger B.
1 Soria, Julio
1 Spreuer, H.
1 Storozhuk, E. A.
1 Straub, Dieter
1 Teodoro, Matheus C.
1 Tomizuka, Masayoshi
1 Villatoro, Francisco R.
1 Wang, Di
1 Williams, Alan B.
1 Wippermann, Hans-Wilm
1 Wright, Grady B.
1 Xu, Qiang
1 Yang, Dongsheng
1 Yeo, Khoon Seng

Citations by Year