Edit Profile (opens in new tab) Klein, Rupert Co-Author Distance Author ID: klein.rupert Published as: Klein, Rupert; Klein, R. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 99 Publications since 1988, including 2 Books and 7 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Co-Authors: 114 Co-Authors with 88 Joint Publications 2,929 Co-Co-Authors all top 5 Co-Authors 12 single-authored 9 Munz, Claus-Dieter 7 Knio, Omar M. 7 Majda, Andrew J. 6 Oevermann, Michael 6 Ting, Lu 5 Vater, Stefan 5 Waidmann, Matthias 4 Botta, Nicola 4 Delle Site, Luigi 4 Geratz, K. J. 4 Hittmeir, Sabine 4 Roller, Sabine 3 Achatz, Ulrich 3 Audusse, Emmanuel 3 Li, Jinkai 3 Nikiforakis, Nikos 3 Owinoh, Antony Z. 3 Schlutow, Mark 3 Titi, Edriss Saleh 2 Benacchio, Tommaso 2 Chew, Ray 2 Farge, Marie 2 Fortenbach, Roland 2 Gerber, Stephan 2 Gokhale, Nandan 2 Haghdoost, Mohammad Rezay 2 Hastermann, Gottfried 2 Höfling, Felix 2 Horenko, Illia 2 Liu, Xin 2 Müller, Annette 2 Nadolski, Maikel 2 Névir, Peter 2 Nguyen van yen, Natacha 2 Oberleithner, Kilian 2 Päschke, Eileen 2 Schmidt, Heiko A. 2 Schneider, Kai 2 Smiljanovski, V. 2 Worlikar, Aniruddha S. 1 Almgren, Ann S. 1 Antes, Heinz 1 Bates, Kevin R. 1 Beck, Andrea D. 1 Bennett, W. P. 1 Bense, Vera 1 Berkenbosch, Adriaan Cornelis 1 Boger, Markus 1 Bouchut, François 1 Bresch, Didier 1 Briabrin, V. M. 1 Bristeau, Marie-Odile 1 Bühler, Oliver 1 Chue, R. S. 1 Damodaran, Kumaran 1 Del Razo, Mauricio J. 1 Dolaptchiev, Stamen I. 1 Draxl, Claudia 1 Edgington-Mitchell, Daniel M. 1 Feireisl, Eduard 1 Frénod, Emmanuel 1 Gassner, Gregor J. 1 Gholami, Abbas 1 Helling, Christiane 1 Henneke, Felix 1 Igdalov, Dimitri 1 Jaegle, Felix 1 Julisch, B. 1 Kaasschieter, E. F. 1 Kadioglu, Samet Y. 1 Khouider, Boualem 1 Kirby, Rhiannon 1 Klein, Telma Suaiden 1 Klix, Friedhart 1 Krause, Werner 1 Kukla, F. 1 Langenberg, S. 1 Le Houédec, D. 1 Lee, John H. S. 1 Lehner, Wolfgang 1 Lin, Lin 1 Lützenkirchen, S. 1 Margerit, Daniel 1 Marschalik, Patrik 1 McLaughlin, Richard M. 1 Meister, Andreas 1 Metzner, Philipp 1 Mikusky, Eileen 1 Minion, Michael L. 1 Moser, V. 1 Nilsson, Nils J. 1 Norman, Donald A. 1 Novotný, Antonín 1 O’Shea, Tim 1 Perthame, Benoît 1 Peters, Norbert 1 Pospelov, Dmitrii Aleksandrovich 1 Pütz, Christopher 1 Reich, Sebastian 1 Reinhardt, Maria ...and 32 more Co-Authors all top 5 Serials 13 Journal of Computational Physics 11 Journal of Fluid Mechanics 5 Oberwolfach Reports 3 Journal of Mathematical Physics 3 Combustion Theory and Modelling 3 Communications in Applied Mathematics and Computational Science 2 Nonlinearity 2 Physics of Fluids, A 2 Physica D 2 Applied Mathematics Letters 1 Computers and Fluids 1 Computers and Structures 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Theoretical and Computational Fluid Dynamics 1 Shock Waves 1 Numerische Mathematik 1 Computational Statistics Quarterly 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applied Mathematical Sciences 1 Lecture Notes in Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematics of Climate and Weather Forecasting all top 5 Fields 79 Fluid mechanics (76-XX) 30 Geophysics (86-XX) 24 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 15 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,423 times in 1,020 Documents Cited by ▼ Year ▼ A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308 Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 381 2004 Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow. Zbl 0842.76053 Klein, R. 157 1995 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071 Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 76 2001 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045 Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 74 2003 Well balanced finite volume methods for nearly hydrostatic flows. Zbl 1109.86304 Botta, N.; Klein, R.; Langenberg, S.; Lützenkirchen, S. 71 2004 A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces. Zbl 1143.35022 Oevermann, M.; Klein, R. 57 2006 Scale-dependent models for atmospheric flows. Zbl 1213.86002 Klein, Rupert 44 2010 Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015 Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran 40 1995 A sharp interface finite volume method for elliptic equations on Cartesian grids. Zbl 1169.65343 Oevermann, M.; Scharfenberg, C.; Klein, R. 40 2009 Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows. Zbl 0968.76054 Schneider, T.; Botta, N.; Geratz, K. J.; Klein, R. 37 1999 Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line. Zbl 0738.35063 Klein, Rupert; Majda, Andrew J. 23 1991 Asymptotic analyses for atmospheric flows and the construction of asymptotically adaptive numerical methods. Zbl 1050.76056 Klein, R. 22 2000 Viscous vortical flows. Zbl 0748.76007 Ting, Lu; Klein, Rupert 21 1991 Well-balanced compressible cut-cell simulation of atmospheric flow. Zbl 1192.86013 Klein, R.; Bates, K. R.; Nikiforakis, N. 21 2009 A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics. Zbl 1146.76035 Kadioglu, Samet Y.; Klein, Rupert; Minion, Michael L. 20 2008 On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210 Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina 20 2016 A capturing-tracking hybrid scheme for deflagration discontinuities. Zbl 0956.76070 Smiljanovski, V.; Moser, V.; Klein, R. 19 1997 Multiple spatial scales in engineering and atmospheric low Mach number flows. Zbl 1130.76326 Klein, Rupert 18 2005 A dimensionally split Cartesian cut cell method for hyperbolic conservation laws. Zbl 1395.65048 Gokhale, Nandan; Nikiforakis, Nikos; Klein, Rupert 17 2018 Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 16 2017 Detonation capturing for stiff combustion chemistry. Zbl 0936.80005 Berkenbosch, A. C.; Kaasschieter, E. F.; Klein, R. 12 1998 Gravity waves, scale asymptotics and the pseudo-incompressible equations. Zbl 1205.76071 Achatz, Ulrich; Klein, R.; Senf, F. 11 2010 Asymptotics, structure, and integration of sound-proof atmospheric flow equations. Zbl 1234.76044 Klein, Rupert 11 2009 Self-stretching of perturbed vortex filaments. II: Structure of solutions. Zbl 0752.35068 Klein, Rupert; Majda, Andrew J. 11 1991 Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 11 2020 A generalized level-set/in-cell-reconstruction approach for accelerating turbulent premixed flames. Zbl 1068.80537 Schmidt, Heiko; Klein, Rupert 10 2003 Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Zbl 1419.76445 Vater, Stefan; Klein, Rupert 10 2009 An applied mathematical view of meteorological modelling. Zbl 1163.86307 Klein, Rupert 9 2004 Asymptotic vorticity structure and numerical simulation of slender vortex filaments. Zbl 0846.76014 Klein, Rupert; Knio, Omar M. 9 1995 A moving boundary flux stabilization method for Cartesian cut-cell grids using directional operator splitting. Zbl 1392.76034 Bennett, W. P.; Nikiforakis, N.; Klein, R. 9 2018 Vortex dominated flows. Analysis and computation for multiple scale phenomena. Zbl 1130.76002 Ting, Lu; Klein, Rupert; Knio, Omar M. 8 2007 Conservative discretization of Coriolis force in a finite volume framework. Zbl 1159.76025 Audusse, E.; Klein, R.; Owinoh, A. 8 2009 Asymptotic equations for the stretching of vortex filaments in a background flow field. Zbl 0765.76026 Klein, Rupert; Majda, Andrew J.; McLaughlin, Richard M. 8 1992 Preservation of the discrete geostrophic equilibrium in shallow water flows. Zbl 1246.65157 Audusse, E.; Klein, R.; Nguyen, D. D.; Vater, S. 8 2011 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077 Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 8 2015 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094 Vater, Stefan; Klein, Rupert 8 2018 Cumulative effects of weak pressure waves during the induction period of a thermal explosion in a closed cylinder. Zbl 0641.76060 Klein, R.; Peters, N. 7 1988 Numerical simulation of a thermoacoustic refrigerator. II: Stratified flow around the stack. Zbl 0920.76061 Worlikar, Aniruddha S.; Knio, Omar M.; Klein, Rupert 7 1998 Vortex filament with axial core structure variation. Zbl 0760.76025 Klein, R.; Ting, L. 7 1992 An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments. Zbl 0767.76018 Klein, Rupert; Majda, Andrew J. 7 1993 Asymptotic analysis of a dry atmosphere. Zbl 1057.86507 Botta, N.; Klein, R.; Almgren, A. 6 2000 Energy dissipation caused by boundary layer instability at vanishing viscosity. Zbl 1415.76134 Nguyen van yen, Natacha; Waidmann, Matthias; Klein, Rupert; Farge, Marie; Schneider, Kai 6 2018 Theoretical and experimental studies of slender vortex filaments. Zbl 0834.76022 Klein, R.; Ting, L. 5 1995 Efficient 3D modelling of vibration isolation by open trenches. Zbl 0918.73304 Klein, R.; Antes, H.; Le Houédec, D. 5 1997 Representation of core dynamics in slender vortex filament simulations. Zbl 1027.76514 Klein, Rupert; Knio, Omar M.; Ting, Lu 5 1996 Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear. Zbl 1248.76033 Päschke, Eileen; Marschalik, Patrik; Owinoh, Antony Z.; Klein, Rupert 4 2012 Multiple scales asymptotics for atmospheric flows. Zbl 1137.86308 Klein, Rupert; Mikusky, Eileen; Owinoh, Antony 4 2005 A nonlinear oscillator concept for one-dimensional pulsating detonations. Zbl 0926.76128 Zhang, F.; Chue, R. S.; Lee, J. H. S.; Klein, R. 4 1998 The relation between curvature, rate state-dependence, and detonation velocity. Zbl 0782.76054 Klein, Rupert; Stewart, D. Scott 4 1993 Overcoming mass losses in level set-based interface tracking schemes. Zbl 1052.76559 Schneider, Th.; Klein, R. 4 1999 Finite-amplitude gravity waves in the atmosphere: travelling wave solutions. Zbl 1430.86010 Schlutow, Mark; Klein, R.; Achatz, U. 4 2017 Liouville-type equations for the \(n\)-particle distribution functions of an open system. Zbl 1454.82028 Delle Site, Luigi; Klein, Rupert 4 2020 Numerical simulation of a thermodynamic refrigerator. Zbl 0875.76566 Worlikar, Aniruddha; Knio, Omar M.; Klein, Rupert 3 1996 Multiple scales methods in meteorology. Zbl 1316.76106 Klein, Rupert; Vater, Stefan; Paeschke, Eileen; Ruprecht, Daniel 2 2010 Flame front tracking via in-cell reconstruction. Zbl 0948.80501 Smiljanovski, V.; Klein, R. 2 1996 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354 Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Automated generation of reduced stochastic weather models. I: Simultaneous dimension and model reduction for time series analysis. Zbl 1152.62056 Horenko, Illia; Klein, Rupert; Dolaptchiev, Stamen; Schütte, Christof 2 2008 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515 Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 Range of validity of an extended WKB theory for atmospheric gravity waves: one-dimensional and two-dimensional case. Zbl 1291.76078 Rieper, Felix; Achatz, U.; Klein, R. 2 2013 An asymptotic solution approach for elliptic equations with discontinuous coefficients. Zbl 1349.76063 Oevermann, M.; Klein, R. 2 2014 A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations. Zbl 1416.65327 Gokhale, Nandan; Nikiforakis, Nikos; Klein, Rupert 2 2018 Report 28/2006: Applications of Asymptotic Analysis (June 18th – June 24th, 2006). Zbl 1109.34321 1 2006 Improved thin-tube models for slender vortex simulations. Zbl 0991.76060 Knio, Omar M.; Klein, Rupert 1 2000 Weather and climate, equilibria and catastrophes. Information from the MATHEON Lounge. (Wetter und Klima, Gleichgewichte und Katastrophen. Notizen aus der MATHEON-Lounge.) Zbl 1285.97008 Ziegler, Günter M.; Klein, Rupert 1 2005 Human and artificial intelligence. Articles presented at the XXI international conference of psychology, Paris, 18-25 July, 1976. Licenced ed. Zbl 0414.68065 1 1979 Scale-selective time integration for long-wave linear acoustics. Zbl 1246.76110 Vater, Stefan; Klein, Rupert; Knio, Omar M. 1 2011 A conservative coupling of level-set, volume-of-fluid and other conserved quantities. Zbl 1304.76057 Waidmann, Matthias; Gerber, Stephan; Oevermann, Michael; Klein, Rupert 1 2014 Towards a stochastic closure approach for large eddy simulation. Zbl 1426.76193 von Larcher, Th.; Klein, R.; Horenko, I.; Metzner, P.; Waidmann, M.; Igdalov, D.; Beck, A. D.; Gassner, G. J.; Munz, C.-D. 1 2014 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346 Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 Derivation of Liouville-like equations for the \(n\)-state probability density of an open system with thermalized particle reservoirs and its link to molecular simulation. Zbl 1505.82027 Klein, Rupert; Delle Site, Luigi 1 2022 Scale dependent analytical investigation of the dynamic state index concerning the quasi-geostrophic theory. Zbl 1504.86012 Müller, Annette; Névir, Peter; Klein, Rupert 1 2018 Chemical diffusion master equation: formulations of reaction-diffusion processes on the molecular level. Zbl 1511.81142 del Razo, Mauricio J.; Winkelmann, Stefanie; Klein, Rupert; Höfling, Felix 1 2023 Chemical diffusion master equation: formulations of reaction-diffusion processes on the molecular level. Zbl 1511.81142 del Razo, Mauricio J.; Winkelmann, Stefanie; Klein, Rupert; Höfling, Felix 1 2023 Derivation of Liouville-like equations for the \(n\)-state probability density of an open system with thermalized particle reservoirs and its link to molecular simulation. Zbl 1505.82027 Klein, Rupert; Delle Site, Luigi 1 2022 Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 11 2020 Liouville-type equations for the \(n\)-particle distribution functions of an open system. Zbl 1454.82028 Delle Site, Luigi; Klein, Rupert 4 2020 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346 Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 A dimensionally split Cartesian cut cell method for hyperbolic conservation laws. Zbl 1395.65048 Gokhale, Nandan; Nikiforakis, Nikos; Klein, Rupert 17 2018 A moving boundary flux stabilization method for Cartesian cut-cell grids using directional operator splitting. Zbl 1392.76034 Bennett, W. P.; Nikiforakis, N.; Klein, R. 9 2018 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094 Vater, Stefan; Klein, Rupert 8 2018 Energy dissipation caused by boundary layer instability at vanishing viscosity. Zbl 1415.76134 Nguyen van yen, Natacha; Waidmann, Matthias; Klein, Rupert; Farge, Marie; Schneider, Kai 6 2018 A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations. Zbl 1416.65327 Gokhale, Nandan; Nikiforakis, Nikos; Klein, Rupert 2 2018 Scale dependent analytical investigation of the dynamic state index concerning the quasi-geostrophic theory. Zbl 1504.86012 Müller, Annette; Névir, Peter; Klein, Rupert 1 2018 Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325 Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. 16 2017 Finite-amplitude gravity waves in the atmosphere: travelling wave solutions. Zbl 1430.86010 Schlutow, Mark; Klein, R.; Achatz, U. 4 2017 On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210 Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina 20 2016 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077 Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 8 2015 An asymptotic solution approach for elliptic equations with discontinuous coefficients. Zbl 1349.76063 Oevermann, M.; Klein, R. 2 2014 A conservative coupling of level-set, volume-of-fluid and other conserved quantities. Zbl 1304.76057 Waidmann, Matthias; Gerber, Stephan; Oevermann, Michael; Klein, Rupert 1 2014 Towards a stochastic closure approach for large eddy simulation. Zbl 1426.76193 von Larcher, Th.; Klein, R.; Horenko, I.; Metzner, P.; Waidmann, M.; Igdalov, D.; Beck, A. D.; Gassner, G. J.; Munz, C.-D. 1 2014 Range of validity of an extended WKB theory for atmospheric gravity waves: one-dimensional and two-dimensional case. Zbl 1291.76078 Rieper, Felix; Achatz, U.; Klein, R. 2 2013 Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear. Zbl 1248.76033 Päschke, Eileen; Marschalik, Patrik; Owinoh, Antony Z.; Klein, Rupert 4 2012 Preservation of the discrete geostrophic equilibrium in shallow water flows. Zbl 1246.65157 Audusse, E.; Klein, R.; Nguyen, D. D.; Vater, S. 8 2011 Scale-selective time integration for long-wave linear acoustics. Zbl 1246.76110 Vater, Stefan; Klein, Rupert; Knio, Omar M. 1 2011 Scale-dependent models for atmospheric flows. Zbl 1213.86002 Klein, Rupert 44 2010 Gravity waves, scale asymptotics and the pseudo-incompressible equations. Zbl 1205.76071 Achatz, Ulrich; Klein, R.; Senf, F. 11 2010 Multiple scales methods in meteorology. Zbl 1316.76106 Klein, Rupert; Vater, Stefan; Paeschke, Eileen; Ruprecht, Daniel 2 2010 A sharp interface finite volume method for elliptic equations on Cartesian grids. Zbl 1169.65343 Oevermann, M.; Scharfenberg, C.; Klein, R. 40 2009 Well-balanced compressible cut-cell simulation of atmospheric flow. Zbl 1192.86013 Klein, R.; Bates, K. R.; Nikiforakis, N. 21 2009 Asymptotics, structure, and integration of sound-proof atmospheric flow equations. Zbl 1234.76044 Klein, Rupert 11 2009 Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Zbl 1419.76445 Vater, Stefan; Klein, Rupert 10 2009 Conservative discretization of Coriolis force in a finite volume framework. Zbl 1159.76025 Audusse, E.; Klein, R.; Owinoh, A. 8 2009 A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics. Zbl 1146.76035 Kadioglu, Samet Y.; Klein, Rupert; Minion, Michael L. 20 2008 Automated generation of reduced stochastic weather models. I: Simultaneous dimension and model reduction for time series analysis. Zbl 1152.62056 Horenko, Illia; Klein, Rupert; Dolaptchiev, Stamen; Schütte, Christof 2 2008 Vortex dominated flows. Analysis and computation for multiple scale phenomena. Zbl 1130.76002 Ting, Lu; Klein, Rupert; Knio, Omar M. 8 2007 A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces. Zbl 1143.35022 Oevermann, M.; Klein, R. 57 2006 Report 28/2006: Applications of Asymptotic Analysis (June 18th – June 24th, 2006). Zbl 1109.34321 1 2006 Multiple spatial scales in engineering and atmospheric low Mach number flows. Zbl 1130.76326 Klein, Rupert 18 2005 Multiple scales asymptotics for atmospheric flows. Zbl 1137.86308 Klein, Rupert; Mikusky, Eileen; Owinoh, Antony 4 2005 Weather and climate, equilibria and catastrophes. Information from the MATHEON Lounge. (Wetter und Klima, Gleichgewichte und Katastrophen. Notizen aus der MATHEON-Lounge.) Zbl 1285.97008 Ziegler, Günter M.; Klein, Rupert 1 2005 A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308 Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 381 2004 Well balanced finite volume methods for nearly hydrostatic flows. Zbl 1109.86304 Botta, N.; Klein, R.; Langenberg, S.; Lützenkirchen, S. 71 2004 An applied mathematical view of meteorological modelling. Zbl 1163.86307 Klein, Rupert 9 2004 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045 Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 74 2003 A generalized level-set/in-cell-reconstruction approach for accelerating turbulent premixed flames. Zbl 1068.80537 Schmidt, Heiko; Klein, Rupert 10 2003 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354 Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071 Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 76 2001 Asymptotic analyses for atmospheric flows and the construction of asymptotically adaptive numerical methods. Zbl 1050.76056 Klein, R. 22 2000 Asymptotic analysis of a dry atmosphere. Zbl 1057.86507 Botta, N.; Klein, R.; Almgren, A. 6 2000 Improved thin-tube models for slender vortex simulations. Zbl 0991.76060 Knio, Omar M.; Klein, Rupert 1 2000 Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows. Zbl 0968.76054 Schneider, T.; Botta, N.; Geratz, K. J.; Klein, R. 37 1999 Overcoming mass losses in level set-based interface tracking schemes. Zbl 1052.76559 Schneider, Th.; Klein, R. 4 1999 Detonation capturing for stiff combustion chemistry. Zbl 0936.80005 Berkenbosch, A. C.; Kaasschieter, E. F.; Klein, R. 12 1998 Numerical simulation of a thermoacoustic refrigerator. II: Stratified flow around the stack. Zbl 0920.76061 Worlikar, Aniruddha S.; Knio, Omar M.; Klein, Rupert 7 1998 A nonlinear oscillator concept for one-dimensional pulsating detonations. Zbl 0926.76128 Zhang, F.; Chue, R. S.; Lee, J. H. S.; Klein, R. 4 1998 A capturing-tracking hybrid scheme for deflagration discontinuities. Zbl 0956.76070 Smiljanovski, V.; Moser, V.; Klein, R. 19 1997 Efficient 3D modelling of vibration isolation by open trenches. Zbl 0918.73304 Klein, R.; Antes, H.; Le Houédec, D. 5 1997 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515 Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 Representation of core dynamics in slender vortex filament simulations. Zbl 1027.76514 Klein, Rupert; Knio, Omar M.; Ting, Lu 5 1996 Numerical simulation of a thermodynamic refrigerator. Zbl 0875.76566 Worlikar, Aniruddha; Knio, Omar M.; Klein, Rupert 3 1996 Flame front tracking via in-cell reconstruction. Zbl 0948.80501 Smiljanovski, V.; Klein, R. 2 1996 Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow. Zbl 0842.76053 Klein, R. 157 1995 Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015 Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran 40 1995 Asymptotic vorticity structure and numerical simulation of slender vortex filaments. Zbl 0846.76014 Klein, Rupert; Knio, Omar M. 9 1995 Theoretical and experimental studies of slender vortex filaments. Zbl 0834.76022 Klein, R.; Ting, L. 5 1995 An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments. Zbl 0767.76018 Klein, Rupert; Majda, Andrew J. 7 1993 The relation between curvature, rate state-dependence, and detonation velocity. Zbl 0782.76054 Klein, Rupert; Stewart, D. Scott 4 1993 Asymptotic equations for the stretching of vortex filaments in a background flow field. Zbl 0765.76026 Klein, Rupert; Majda, Andrew J.; McLaughlin, Richard M. 8 1992 Vortex filament with axial core structure variation. Zbl 0760.76025 Klein, R.; Ting, L. 7 1992 Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line. Zbl 0738.35063 Klein, Rupert; Majda, Andrew J. 23 1991 Viscous vortical flows. Zbl 0748.76007 Ting, Lu; Klein, Rupert 21 1991 Self-stretching of perturbed vortex filaments. II: Structure of solutions. Zbl 0752.35068 Klein, Rupert; Majda, Andrew J. 11 1991 Cumulative effects of weak pressure waves during the induction period of a thermal explosion in a closed cylinder. Zbl 0641.76060 Klein, R.; Peters, N. 7 1988 Human and artificial intelligence. Articles presented at the XXI international conference of psychology, Paris, 18-25 July, 1976. Licenced ed. Zbl 0414.68065 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,496 Authors 47 Klein, Rupert 33 Dumbser, Michael 26 Kurganov, Alexander 25 Feireisl, Eduard 20 Xing, Yulong 19 Berthon, Christophe 19 Mai Duc Thanh 19 Parés Madroñal, Carlos 16 Li, Gang 15 Castro, Manuel J. 14 Lukáčová-Medviďová, Mária 14 Novotný, Antonín 13 Bouchut, François 13 Castro-Díaz, Manuel Jesús 13 Morales de Luna, Tomás 13 Noelle, Sebastian 12 Boscheri, Walter 12 Seaïd, Mohammed 12 Tavelli, Maurizio 12 Wang, Liqun 11 Chertock, Alina E. 11 Klingenberg, Christian 11 Puppo, Gabriella 10 Audusse, Emmanuel 10 Dong, Jian 10 Hou, Songming 10 Majda, Andrew J. 10 Munz, Claus-Dieter 10 Sainte-Marie, Jacques 10 Titi, Edriss Saleh 10 Wei, Guowei 9 Chalons, Christophe 9 Cuong, Dao Huy 9 Schütz, Jochen 9 Shi, Liwei 8 Bristeau, Marie-Odile 8 Fernández-Nieto, Enrique Domingo 8 Foucher, Françoise 8 Li, Peng 8 Liang, Qiuhua 8 Mangeney, Anne 8 Marche, Fabien 8 Qian, Shouguo 8 Russo, Giovanni 7 Barsukow, Wasilij 7 Benkhaldoun, Fayssal 7 Gao, Zhen 7 Kesserwani, Georges 7 Knio, Omar M. 7 Liu, Xin 7 Michel-Dansac, Victor 6 Busto, Saray 6 Clain, Stéphane Louis 6 Delestre, Olivier 6 Gaburro, Elena 6 Kaiser, Klaus Hermann 6 Penel, Yohan 6 Schlutow, Mark 6 Thomann, Andrea 6 Ting, Lu 6 Toro, Eleuterio Francisco 6 Xia, Yinhua 6 Zatorska, Ewelina 5 Bell, John B. 5 Degond, Pierre 5 Dick, Erik 5 Don, Wai Sun 5 Duran, Arnaud 5 García-Azpeitia, Carlos 5 Hérard, Jean-Marc 5 Iollo, Angelo 5 Klingenberg, Christian F. 5 Kröner, Dietmar 5 Kwon, Young-Sam 5 Le, Minh Hoang 5 Liu, Xin 5 Liu, Yongle 5 Mishra, Siddhartha 5 Oevermann, Michael 5 Pelanti, Marica 5 Semplice, Matteo 5 Shu, Chi-Wang 5 Temam, Roger Meyer 5 Wu, Kailiang 5 Xu, Yan 5 Zeitlin, Vladimir 4 Achatz, Ulrich 4 Almgren, Ann S. 4 Berberich, Jonas P. 4 Berger, Marsha J. 4 Boscarino, Sebastiano 4 Caleffi, Valerio 4 Chen, Guoxian 4 Coco, Armando 4 Colella, Phillip 4 Cordier, Stéphane 4 Dellacherie, Stéphane 4 Dimarco, Giacomo 4 Do, Minh Hieu 4 Fanelli, Francesco ...and 1,396 more Authors all top 5 Cited in 158 Serials 224 Journal of Computational Physics 74 Computers and Fluids 59 Journal of Scientific Computing 44 Journal of Fluid Mechanics 41 Applied Mathematics and Computation 26 SIAM Journal on Scientific Computing 21 Computer Methods in Applied Mechanics and Engineering 18 Applied Numerical Mathematics 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 Physics of Fluids 16 Computers & Mathematics with Applications 15 Journal of Computational and Applied Mathematics 15 Combustion Theory and Modelling 14 Physica D 13 Archive for Rational Mechanics and Analysis 13 Communications in Computational Physics 12 International Journal for Numerical Methods in Fluids 11 Journal of Mathematical Fluid Mechanics 11 European Journal of Mechanics. B. Fluids 10 Journal of Differential Equations 9 Journal of Mathematical Physics 9 Numerische Mathematik 9 Applied Mathematical Modelling 9 Advances in Applied Mathematics and Mechanics 8 Mathematics of Computation 8 Advances in Computational Mathematics 7 Communications in Mathematical Physics 7 Applied Mathematics Letters 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Methods for Partial Differential Equations 6 Journal of Nonlinear Science 5 Journal of Engineering Mathematics 5 Theoretical and Computational Fluid Dynamics 5 SIAM Journal on Numerical Analysis 5 Mathematical Problems in Engineering 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Nonlinear Analysis. Real World Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 5 Mathematics of Climate and Weather Forecasting 5 SMAI Journal of Computational Mathematics 4 Geophysical and Astrophysical Fluid Dynamics 4 International Journal of Heat and Mass Transfer 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 4 Multiscale Modeling & Simulation 4 International Journal of Computational Methods 4 Oberwolfach Reports 4 Communications in Applied Mathematics and Computational Science 4 Networks and Heterogeneous Media 3 Nonlinearity 3 Physics of Fluids, A 3 Calcolo 3 International Journal for Numerical Methods in Engineering 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Communications in Numerical Methods in Engineering 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Acta Numerica 2 Acta Mechanica 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Journal of Statistical Physics 2 BIT 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Journal of Dynamics and Differential Equations 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Taiwanese Journal of Mathematics 2 Chaos 2 Flow, Turbulence and Combustion 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Numerical Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Communications on Applied Mathematics and Computation 2 Water Waves 2 International Journal on Finite Volumes 1 Astrophysics and Space Science 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematische Semesterberichte 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Shock Waves 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Studies in Applied Mathematics ...and 58 more Serials all top 5 Cited in 30 Fields 837 Fluid mechanics (76-XX) 509 Numerical analysis (65-XX) 421 Partial differential equations (35-XX) 149 Geophysics (86-XX) 54 Classical thermodynamics, heat transfer (80-XX) 26 Mechanics of deformable solids (74-XX) 22 Biology and other natural sciences (92-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Probability theory and stochastic processes (60-XX) 12 Astronomy and astrophysics (85-XX) 8 Optics, electromagnetic theory (78-XX) 7 Mechanics of particles and systems (70-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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