Edit Profile (opens in new tab) Schönauer, Willi Co-Author Distance Author ID: schonauer.willi Published as: Schönauer, W.; Schönauer, Willi; Schoenauer, W. more...less Documents Indexed: 62 Publications since 1964, including 2 Books 4 Contributions as Editor Co-Authors: 24 Co-Authors with 53 Joint Publications 84 Co-Co-Authors all top 5 Co-Authors 13 single-authored 13 Glotz, Gerhard 12 Raith, Karlheinz 10 Adolph, Torsten 9 Weiss, Rüdiger 7 Schnepf, Eric 5 Däubler, Hans-Georg 5 Grüning, Jürgen 4 Häfner, Hartmut 3 Sternecker, Peter 2 Gentzsch, Wolfgang 2 Gross, Lutz 2 Häfele, K. 1 Adams, Ernst Wilhelm 1 Gutknecht, Martin H. 1 Knoll, Gunter 1 Koch, Roman 1 Niessen, Markus 1 Podgajetzki, Isabella 1 Roll, Cidric 1 Schmauder, M. 1 Schulz, Wolfgang 1 Spreuer, H. 1 Straub, Dieter 1 Wietschorke, H. all top 5 Serials 16 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 7 Applied Numerical Mathematics 3 Journal of Computational and Applied Mathematics 3 Parallel Computing 2 Ingenieur-Archiv 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Physics of Fluids 1 ACM Transactions on Mathematical Software 1 Mathematics and Computers in Simulation 1 Journal of Scientific Computing 1 Matematicheskoe Modelirovanie 1 Zeitschrift für Flugwissenschaften 1 Notes on Numerical Fluid Mechanics 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 44 Numerical analysis (65-XX) 25 Fluid mechanics (76-XX) 20 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 30 Serials 9 Journal of High Energy Physics 6 Applied Numerical Mathematics 5 Journal of Computational and Applied Mathematics 4 Classical and Quantum Gravity 4 Journal of Computational Physics 3 Ingenieur-Archiv 3 Applied Mathematics and Computation 3 Journal of Cosmology and Astroparticle Physics 2 International Journal of Modern Physics A 2 Acta Mechanica 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Physics Letters. B 2 Numerical Algorithms 2 Communications in Numerical Methods in Engineering 2 Engineering Analysis with Boundary Elements 1 General Relativity and Gravitation 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Mathematics and Computers in Simulation 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 International Applied Mechanics 1 Gravitation & Cosmology 1 Physical Review Letters 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Cited in 19 Fields 34 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 18 Relativity and gravitational theory (83-XX) 12 Quantum theory (81-XX) 11 Fluid mechanics (76-XX) 5 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 2 Algebraic geometry (14-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year