Edit Profile (opens in new tab) Rautmann, Reimund Compute Distance To: Compute Author ID: rautmann.reimund Published as: Rautmann, R.; Rautmann, Reimund; Rautman, R.; Rautman, Reimund more...less External Links: MGP Documents Indexed: 70 Publications since 1967 5 Contributions as Editor Co-Authors: 16 Co-Authors with 14 Joint Publications 370 Co-Co-Authors all top 5 Co-Authors 61 single-authored 5 Solonnikov, Vsevolod Alekseevich 4 Borchers, Wolfgang 4 Masuda, Kyûya 3 Heywood, John G. 2 Kräutle, Serge 2 Pasquetti, Richard 1 Clemens, Jürgen 1 Domick, G. 1 Hannoschöck, Gerhard 1 Kröner, Dietmar 1 Mucha, Piotr Bogusław 1 Peyret, Roger 1 Saupe, Dietmar 1 Varnhorn, Werner 1 Wielage, K. 1 Xu, Chuanju all top 5 Serials 22 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Lecture Notes in Mathematics 2 Dynamic Systems and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Mechanica 1 Applicable Analysis 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Portugaliae Mathematica. Nova Série 1 Series on Advances in Mathematics for Applied Sciences 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 53 Fluid mechanics (76-XX) 40 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 78 times in 54 Documents Cited by ▼ Year ▼ On optimum regularity of Navier-Stokes solutions at time t=O. Zbl 0508.35068Rautmann, Reimund 13 1983 Convergence of Rothe’s scheme for the Navier-Stokes equations with slip conditions in 2D domains. Zbl 1108.76021Mucha, Piotr B.; Rautmann, Reimund 8 2006 On the convergence rate of nonstationary Navier-Stokes approximations. Zbl 0434.35074Rautmann, Reimund 7 1980 \(H^ 2\)-convergence of Rothe’s scheme to the Navier-Stokes equations. Zbl 0835.76067Rautmann, Reimund 5 1995 \(H^{2,r}\)-convergent approximation schemes to the Navier-Stokes equations. Zbl 0921.76041Rautmann, Reimund 5 1997 Eine Fehlerschranke für Galerkinapproximationen lokaler Navier-Stokes- Lösungen. Zbl 0442.76034Rautmann, Reimund 5 1979 Eine konvergente Produktformel für linearisierte Navier-Stokes Probleme. (A convergent product formula for linearized Navier-Stokes equations). Zbl 0681.76035Rautmann, R. 3 1989 A semigroup approach to error estimates for nonstationary Navier-Stokes approximations. Zbl 0518.76022Rautmann, Reimund 3 1983 \(H^2\)-convergent linearizations to the Navier-Stokes initial value problem. Zbl 0895.35077Rautmann, Reimund 3 1992 A criterion for global existence in case of ordinary differential equations. Zbl 0246.34003Rautmann, Reimund 3 1972 On the uniqueness and regularity of the solutions of Navier-Stokes problems. Zbl 0383.35059Rautmann, R. 2 1976 A direct approach to vorticity transport and diffusion. Zbl 1119.35060Rautmann, R. 2 2007 A regularizing property of Rothe’s method to the Navier-Stokes equations. Zbl 0869.76058Rautmann, Reimund 2 1995 Zur globalen Lösung der Vlasovschen Gleichung für Medien geringer Dichte mit relativistischer Korrektur. Zbl 0186.28802Rautmann, R. 2 1968 Über Quasi-Lipschitzbedingungen für die Gradienten Newtonscher Potentiale. Zbl 0248.34002Rautmann, R. 2 1972 \(H^ 2\)-convergent approximation schemes to the Navier-Stokes equations. Zbl 0821.76016Rautmann, Reimund; Masuda, Kyûya 2 1994 Multi-domain finite element-spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems. Zbl 1096.76023Borchers, W.; Kräutle, S.; Pasquetti, R.; Peyret, R.; Rautman, R. 1 2003 Die Navier-Stokessche Anfangsrandwertaufgabe mit einer Differenzennäherung. (Difference approximation of the Navier-Stokes- initial-boundary value problem). Zbl 0624.76030Rautmann, R.; Varnhorn, W. 1 1985 Ein Vektorpotentialmodell für die Wirbelbildung am Rand umströmter Körper. (A vector potential model of vorticity past an obstacle). Zbl 0655.76027Rautmann, R. 1 1988 Zur iterativen Lösung spezieller Systeme partieller Differentialgleichungen. Zbl 0308.35020Rautmann, R. 1 1974 Schwache Lösungen und Fehlerabschätzungen für die Vlasov-Gleichung bei gemittelter Dichte. Zbl 0361.65101Hannoschöck, Gerhard; Rautmann, Reimund 1 1976 A convergent product formula approach to three dimensional flow computations. Zbl 0728.76028Rautmann, R. 1 1989 On the convergence of Navier-Stokes approximations. (Zur Konvergenz von Navier-Stokes-Approximationen.) Zbl 0840.76011Rautmann, R. 1 1995 Convergence rates in \(H^{2,r}\) of Rothe’s method to the Navier-Stokes equations. Zbl 0930.35128Rautmann, R. 1 1998 Lösung einer Anfangswertaufgabe für substantielle Differentialgleichungen. Zbl 0291.45015Rautmann, Reimund 1 1974 Ein Lösungsverfahren für die Eulerschen Gleichungen der Hydrodynamik. Zbl 0159.27702Rautmann, R. 1 1967 Ein Näherungsverfahren für spezielle parabolische Anfangswertaufgaben mit Operatoren. Zbl 0245.35045Rautmann, Reimund 1 1972 A direct approach to vorticity transport and diffusion. Zbl 1119.35060Rautmann, R. 2 2007 Convergence of Rothe’s scheme for the Navier-Stokes equations with slip conditions in 2D domains. Zbl 1108.76021Mucha, Piotr B.; Rautmann, Reimund 8 2006 Multi-domain finite element-spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems. Zbl 1096.76023Borchers, W.; Kräutle, S.; Pasquetti, R.; Peyret, R.; Rautman, R. 1 2003 Convergence rates in \(H^{2,r}\) of Rothe’s method to the Navier-Stokes equations. Zbl 0930.35128Rautmann, R. 1 1998 \(H^{2,r}\)-convergent approximation schemes to the Navier-Stokes equations. Zbl 0921.76041Rautmann, Reimund 5 1997 \(H^ 2\)-convergence of Rothe’s scheme to the Navier-Stokes equations. Zbl 0835.76067Rautmann, Reimund 5 1995 A regularizing property of Rothe’s method to the Navier-Stokes equations. Zbl 0869.76058Rautmann, Reimund 2 1995 On the convergence of Navier-Stokes approximations. (Zur Konvergenz von Navier-Stokes-Approximationen.) Zbl 0840.76011Rautmann, R. 1 1995 \(H^ 2\)-convergent approximation schemes to the Navier-Stokes equations. Zbl 0821.76016Rautmann, Reimund; Masuda, Kyûya 2 1994 \(H^2\)-convergent linearizations to the Navier-Stokes initial value problem. Zbl 0895.35077Rautmann, Reimund 3 1992 Eine konvergente Produktformel für linearisierte Navier-Stokes Probleme. (A convergent product formula for linearized Navier-Stokes equations). Zbl 0681.76035Rautmann, R. 3 1989 A convergent product formula approach to three dimensional flow computations. Zbl 0728.76028Rautmann, R. 1 1989 Ein Vektorpotentialmodell für die Wirbelbildung am Rand umströmter Körper. (A vector potential model of vorticity past an obstacle). Zbl 0655.76027Rautmann, R. 1 1988 Die Navier-Stokessche Anfangsrandwertaufgabe mit einer Differenzennäherung. (Difference approximation of the Navier-Stokes- initial-boundary value problem). Zbl 0624.76030Rautmann, R.; Varnhorn, W. 1 1985 On optimum regularity of Navier-Stokes solutions at time t=O. Zbl 0508.35068Rautmann, Reimund 13 1983 A semigroup approach to error estimates for nonstationary Navier-Stokes approximations. Zbl 0518.76022Rautmann, Reimund 3 1983 On the convergence rate of nonstationary Navier-Stokes approximations. Zbl 0434.35074Rautmann, Reimund 7 1980 Eine Fehlerschranke für Galerkinapproximationen lokaler Navier-Stokes- Lösungen. Zbl 0442.76034Rautmann, Reimund 5 1979 On the uniqueness and regularity of the solutions of Navier-Stokes problems. Zbl 0383.35059Rautmann, R. 2 1976 Schwache Lösungen und Fehlerabschätzungen für die Vlasov-Gleichung bei gemittelter Dichte. Zbl 0361.65101Hannoschöck, Gerhard; Rautmann, Reimund 1 1976 Zur iterativen Lösung spezieller Systeme partieller Differentialgleichungen. Zbl 0308.35020Rautmann, R. 1 1974 Lösung einer Anfangswertaufgabe für substantielle Differentialgleichungen. Zbl 0291.45015Rautmann, Reimund 1 1974 A criterion for global existence in case of ordinary differential equations. Zbl 0246.34003Rautmann, Reimund 3 1972 Über Quasi-Lipschitzbedingungen für die Gradienten Newtonscher Potentiale. Zbl 0248.34002Rautmann, R. 2 1972 Ein Näherungsverfahren für spezielle parabolische Anfangswertaufgaben mit Operatoren. Zbl 0245.35045Rautmann, Reimund 1 1972 Zur globalen Lösung der Vlasovschen Gleichung für Medien geringer Dichte mit relativistischer Korrektur. Zbl 0186.28802Rautmann, R. 2 1968 Ein Lösungsverfahren für die Eulerschen Gleichungen der Hydrodynamik. Zbl 0159.27702Rautmann, R. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 8 Rautmann, Reimund 6 Rojas-Medar, Marko Antonio 5 Ashyralyev, Allaberen 5 Mucha, Piotr Bogusław 5 Piasecki, Tomasz 3 Boldrini, José Luiz 3 He, Yinnian 3 Poblete-Cantellano, Mariano 3 Pokorný, Milan 3 Titi, Edriss Saleh 2 Climent-Ezquerra, Blanca 2 Hou, Yanren 2 Yurtsever, Hasan Ali 1 Anselmann, Mathias 1 Ashyralyyev, Charyyar 1 Axmann, Šimon 1 Batt, Jürgen 1 Bause, Markus 1 Berselli, Luigi Carlo 1 Capietto, Anna 1 de Aguiar, Rogério 1 Devulder, Christophe 1 Ebihara, Yukiyoshi 1 Farwig, Reinhard 1 Friz, Luis 1 García-Archilla, Bosco 1 Geveci, Tunc 1 Gutiérrez-Santacreu, Juan Vicente 1 Hebeker, Friedrich-Karl 1 Higaki, Mitsuo 1 Jones, Don A. 1 Konieczny, Paweł 1 Kosaka, Humiya 1 Kräutle, Serge 1 Kreth, Horst 1 Labovsky, Alexandr 1 Layton, William J. 1 Liu, Cheng-Jie 1 Maekawa, Yasunori 1 Manica, Carolina Cardoso 1 Margolin, Len G. 1 Marion, Martine 1 Medeiros, Luis Adauto da Justa 1 Neda, Monika 1 Neustupa, Jiří 1 Notte-Cuello, Eduardo Alfonso 1 Novo, Julia 1 Ortega-Torres, Elva E. 1 Ozdemir, Yildirim 1 Racke, Reinhard 1 Rebholz, Leo G. 1 Rojas-Medar, María Drina 1 Ross, Nicole 1 Shan, Li 1 Strampp, Walter 1 Varnhorn, Werner 1 Xie, Feng 1 Yang, Tong 1 Zanolin, Fabio 1 Zheng, Haibiao all top 5 Cited in 36 Serials 6 Journal of Differential Equations 5 Mathematics of Computation 3 Numerical Functional Analysis and Optimization 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computers & Mathematics with Applications 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Aplikace Matematiky 1 Applied Mathematics and Computation 1 Computing 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Mathematical Problems in Engineering 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Discrete and Continuous Dynamical Systems. Series S 1 Pure and Applied Analysis all top 5 Cited in 11 Fields 41 Fluid mechanics (76-XX) 40 Partial differential equations (35-XX) 24 Numerical analysis (65-XX) 6 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) Citations by Year