Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences Short Title: Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. Publisher: Royal Society Publishing, London ISSN: 1364-503X; 1471-2962/e Online: http://rsta.royalsocietypublishing.org/content/by/yearhttp://www.jstor.org/journals/1364503X.html Predecessor: Philosophical Transactions of the Royal Society of London. Series A Successor: Philosophical Transactions A. Royal Society of London Comments: Journal; No longer indexed; This journal is available open access with a moving wall of 24 months. Documents Indexed: 1,513 Publications (1996–2014) References Indexed: 852 Publications with 25,535 References. all top 5 Latest Issues 372, No. 2029 (2014) 372, No. 2028 (2014) 372, No. 2027 (2014) 372, No. 2023 (2014) 372, No. 2021 (2014) 372, No. 2020 (2014) 372, No. 2018 (2014) 372, No. 2017 (2014) 372, No. 2016 (2014) 372, No. 2015 (2014) 372, No. 2011 (2014) 372, No. 2009 (2014) 372, No. 2008 (2014) 372, No. 2007 (2014) 371, No. 2005 (2013) 371, No. 2004 (2013) 371, No. 2003 (2013) 371, No. 1999 (2013) 371, No. 1997 (2013) 371, No. 1995 (2013) 371, No. 1994 (2013) 371, No. 1993 (2013) 371, No. 1991 (2013) 371, No. 1990 (2013) 371, No. 1989 (2013) 371, No. 1988 (2013) 371, No. 1987 (2013) 371, No. 1986 (2013) 371, No. 1985 (2013) 371, No. 1984 (2013) 371, No. 1982 (2013) 370, No. 1981 (2012) 370, No. 1979 (2012) 370, No. 1976 (2012) 370, No. 1975 (2012) 370, No. 1971 (2012) 370, No. 1969 (2012) 370, No. 1965 (2012) 370, No. 1964 (2012) 370, No. 1961 (2012) 370, No. 1960 (2012) 370, No. 1959 (2012) 370, No. 1958 (2012) 369, No. 1957 (2011) 369, No. 1956 (2011) 369, No. 1955 (2011) 369, No. 1954 (2011) 369, No. 1952 (2011) 369, No. 1947 (2011) 369, No. 1946 (2011) 369, No. 1945 (2011) 369, No. 1944 (2011) 369, No. 1941 (2011) 369, No. 1940 (2011) 369, No. 1939 (2011) 369, No. 1938 (2011) 369, No. 1937 (2011) 369, No. 1935 (2011) 368, No. 1933 (2010) 368, No. 1932 (2010) 368, No. 1930 (2010) 368, No. 1929 (2010) 368, No. 1928 (2010) 368, No. 1926 (2010) 368, No. 1925 (2010) 368, No. 1924 (2010) 368, No. 1923 (2010) 368, No. 1921 (2010) 368, No. 1920 (2010) 368, No. 1918 (2010) 368, No. 1916 (2010) 368, No. 1914 (2010) 368, No. 1912 (2010) 368, No. 1911 (2010) 368, No. 1910 (2010) 367, No. 1909 (2009) 367, No. 1908 (2009) 367, No. 1907 (2009) 367, No. 1906 (2009) 367, No. 1903 (2009) 367, No. 1902 (2009) 367, No. 1901 (2009) 367, No. 1900 (2009) 367, No. 1899 (2009) 367, No. 1898 (2009) 367, No. 1897 (2009) 367, No. 1896 (2009) 367, No. 1895 (2009) 367, No. 1892 (2009) 367, No. 1891 (2009) 367, No. 1890 (2009) 367, No. 1888 (2009) 367, No. 1887 (2009) 366, No. 1881 (2008) 366, No. 1877 (2008) 366, No. 1876 (2008) 366, No. 1875 (2008) 366, No. 1873 (2008) 366, No. 1872 (2008) 366, No. 1871 (2008) ...and 85 more Volumes all top 5 Authors 17 Coveney, Peter V. 16 Thompson, John Michael T. 11 Hunt, Giles W. 9 Wiercigroch, Marian 8 Champneys, Alan R. 8 Succi, Sauro 7 Smith, Frank T. 6 Aihara, Kazuyuki 6 Boghosian, Bruce M. 6 Kurths, Jürgen 6 Love, Peter J. 6 Schöll, Eckehard 6 Stépán, Gábor 5 Budd, Christopher John 5 Gough, John E. 5 Howison, Samuel Dexter 5 Kohl, Peter 5 Noble, Denis 5 Palmer, Tim N. 5 Ruban, Anatoly I. 4 Cates, Michael E. 4 Constantin, Adrian 4 Fazendeiro, Luis M. 4 Gajjar, Jitesh S. B. 4 Gavaghan, David J. 4 Grebogi, Celso 4 Hobbs, Bruce E. 4 Hunter, Peter J. 4 Kelly, Frank P. 4 Korobkin, Alexander A. 4 Masoller, Cristina 4 Ockendon, John R. 4 Ord, Alison 4 Părău, Emilian I. 4 Porta, Alberto 4 Regenauer-Lieb, Klaus 4 Ubertini, Stefano 4 Vanden-Broeck, Jean-Marc 4 Vaughan, Robert C. 4 Wang, Charles H.-T. 3 Atiyah, Michael Francis 3 Barnett, Stephen M. 3 Biferale, Luca 3 Bridges, Thomas J. 3 Bruchovsky, Nicholas 3 Butler, Richard J. 3 Care, Chris M. 3 Cassel, Kevin W. 3 Catlow, C. R. A. 3 Chapman, Stephen Jonathan 3 Chen, Yangquan 3 Cullen, Michael John Priestley 3 Demongeot, Jacques 3 Donoho, David Leigh 3 Ekert, Artur K. 3 Ewins, D. J. 3 Faes, Luca 3 Frederiksen, Jorgen Segerlund 3 Garny, Alan 3 Gibbens, Richard J. 3 Greiner, Andreas 3 Guest, Simon D. 3 Guz, Igor A. 3 Haines, Keith 3 Hall, Philip 3 Halliday, Ian 3 Hirata, Yoshito 3 Hoekstra, Alfons G. 3 Holmes, Philip J. 3 Hutter, Kolumban 3 Inamuro, Takaji 3 Iserles, Arieh 3 James, Matthew R. 3 Kauzlarić, David 3 Kluwick, Alfred 3 Korvink, Jan G. 3 Lasenby, Anthony N. 3 Lasenby, Joan 3 LeGrice, Ian J. 3 Lester, Daniel R. 3 Li, Changpin 3 Lieven, Nick A. J. 3 Marusic, Ivan 3 McKeon, Beverley J. 3 Metcalfe, Guy 3 Meyer, David A. 3 Oliveira, Ivan S. 3 Pavlovskaia, Ekaterina E. 3 Peletier, Mark Adriaan 3 Penrose, Roger 3 Ponte Castañeda, Pedro 3 Rosso, Osvaldo A. 3 Serra, Roberto M. 3 Sklyanin, Evgeny K. 3 Smith, Nicolas P. 3 Sreenivasan, Katepalli R. 3 Toschi, Federico 3 Travers, A. A. 3 Unruh, William G. 3 Vassilicos, John-Christos ...and 2,876 more Authors all top 5 Fields 430 Fluid mechanics (76-XX) 233 Biology and other natural sciences (92-XX) 192 Mechanics of deformable solids (74-XX) 146 Dynamical systems and ergodic theory (37-XX) 131 Computer science (68-XX) 130 Quantum theory (81-XX) 122 Statistical mechanics, structure of matter (82-XX) 115 Geophysics (86-XX) 109 Partial differential equations (35-XX) 74 Ordinary differential equations (34-XX) 71 Systems theory; control (93-XX) 70 Numerical analysis (65-XX) 67 Relativity and gravitational theory (83-XX) 62 General and overarching topics; collections (00-XX) 62 Statistics (62-XX) 62 Mechanics of particles and systems (70-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Information and communication theory, circuits (94-XX) 49 Optics, electromagnetic theory (78-XX) 47 Astronomy and astrophysics (85-XX) 45 Operations research, mathematical programming (90-XX) 41 Classical thermodynamics, heat transfer (80-XX) 37 History and biography (01-XX) 29 Probability theory and stochastic processes (60-XX) 20 Mathematical logic and foundations (03-XX) 17 Combinatorics (05-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Differential geometry (53-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 8 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Convex and discrete geometry (52-XX) 5 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 2 Integral equations (45-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,129 Publications have been cited 10,548 times in 8,969 Documents Cited by ▼ Year ▼ Multiple-relaxation-time lattice Boltzmann models in three dimensions. Zbl 1001.76081d’Humières, Dominique; Ginzburg, Irina; Krafczyk, Manfred; Lallemand, Pierre; Luo, Li-Shi 340 2002 Geometric integration using discrete gradients. Zbl 0933.65143McLachlan, Robert I.; Quispel, G. R. W.; Robidoux, Nicolas 216 1999 Large-scale influences in near-wall turbulence. Zbl 1152.76421Hutchins, Nicholas; Marusic, Ivan 159 2007 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 134 2013 Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060Holzapfel, Gerhard A.; Ogden, Ray W. 116 2009 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080Iserles, A.; Nørsett, S. P. 112 1999 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 108 1999 Large- and very-large-scale motions in channel and boundary-layer flows. Zbl 1152.76369Balakumar, B. J.; Adrian, R. J. 100 2007 Systematic design of phononic band-gap materials and structures by topology optimization. Zbl 1067.74053Sigmund, Ole; Jensen, Jakob Søndergaard 89 2003 Quantum computation, entanglement and state reduction. Zbl 1152.81659Penrose, Roger 86 1998 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004Lin, Fanghua; Wang, Changyou 78 2014 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074Marsden, Jerrold E.; Shkoller, Steve 74 2001 High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014Hesthaven, J. S.; Warburton, T. 74 2004 Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064Tadmor, Eitan; Tan, Changhui 74 2014 Water waves and integrability. Zbl 1152.76322Ivanov, Rossen I. 66 2007 Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028Fyodorov, Yan V.; Keating, Jonathan P. 65 2014 A two-fluid model for avalanche and debris flows. Zbl 1152.86302Pitman, E. Bruce; Le, Long 62 2005 Partial differential equation models in macroeconomics. Zbl 1353.91027Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin 60 2014 Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130Noja, Diego 60 2014 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 59 2009 Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas 56 2013 Delayed feedback control of chaos. Zbl 1152.93477Pyragas, Kestutis 56 2006 Higher-order Boussinesq-type equations for surface gravity waves: Derivation and analysis. Zbl 0930.35137Madsen, P. A.; Schäffer, H. A. 55 1998 Traffic jams: dynamics and control. Zbl 1202.90075Orosz, Gábor; Wilson, R. Eddie; Stépán, Gábor 55 2010 Computations in a free Lie algebra. Zbl 0956.65056Munthe-Kaas, Hans; Owren, Brynjulf 50 1999 Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case. Zbl 1073.78004Bruno, Oscar P.; Geuzaine, Christophe A.; Monro, John A.; Reitich, Fernando 50 2004 Mean-field sparse optimal control. Zbl 1353.49014Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 50 2014 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038Albi, G.; Pareschi, L.; Zanella, M. 50 2014 Foundations of chaotic mixing. Zbl 1069.76502Wiggins, Stephen; Ottino, Julio M. 49 2004 Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics. Zbl 1153.34329Cao, Qingjie; Wiercigroch, Marian; Pavlovskaia, Ekaterina E.; Thompson, J. Michael T.; Grebogi, Celso 49 2008 Approach to an asymptotic state for zero pressure gradient turbulent boundary layers. Zbl 1152.76412Nagib, Hassan M.; Chauhan, Kapil A.; Monkewitz, Peter A. 49 2007 Image processing with complex wavelets. Zbl 0976.68527Kingsbury, Nick 47 1999 On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Zbl 1106.76363Theofilis, Vassilios; Hein, Stefan; Dallmann, Uwe 44 2000 Chaos synchronization in fractional differential systems. Zbl 1342.34070Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen 44 2013 Large eddy simulation using high-resolution and high-order methods. Zbl 1185.76719Drikakis, D.; Hahn, M.; Mosedale, A.; Thornber, B. 42 2009 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012Buffoni, B.; Groves, M. D.; Toland, J. F. 42 1996 Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering. Zbl 1073.78016Perrey-Debain, E.; Laghrouche, O.; Bettess, P.; Trevelyan, J. 42 2004 Time-delayed feedback in neurosystems. Zbl 1185.34108Schöll, Eckehard; Hiller, Gerald; Hövel, Philipp; Dahlem, Markus A. 41 2009 A market model for stochastic implied volatility. Zbl 0963.91046Schönbucher, Philipp J. 41 1999 Modelling the dynamics of dengue real epidemics. Zbl 1211.37116Pinho, S. T. R.; Ferreira, C. P.; Esteva, L.; Barreto, F. R.; Silva, V. C. Morato E.; Teixeira, M. G. L. 40 2010 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142Budd, C. J.; Iserles, A. 38 1999 Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149Liero, Matthias; Mielke, Alexander 37 2013 Modelling nonlinear hydroelastic waves. Zbl 1228.76027Plotnikov, P. I.; Toland, J. F. 36 2011 Modelling nonlinear regenerative effects in metal cutting. Zbl 1169.74431Stépán, Gábor 35 2001 Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan 35 2013 Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations. Zbl 1152.37344Kolev, Boris 35 2007 A note on semi-discrete modelling in the life sciences. Zbl 1192.37119Mailleret, Ludovic; Lemesle, Valérie 34 2009 Rotational steady water waves near stagnation. Zbl 1152.76328Constantin, Adrian; Strauss, Walter 34 2007 Renormalization group and the Planck scale. Zbl 1228.82028Litim, Daniel F. 33 2011 Sufficient dimension reduction and prediction in regression. Zbl 1185.62109Adragni, Kofi P.; Cook, R. Dennis 33 2009 Gravity, gauge theories and geometric algebra. Zbl 0945.83023Lasenby, A.; Doran, C.; Gull, S. 33 1998 Holographic non-Fermi-liquid fixed points. Zbl 1219.81211Faulkner, Tom; Iqbal, Nabil; Liu, Hong; Mcgreevy, John; Vegh, David 33 2011 An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315Majda, Andrew J.; Franzke, Christian; Khouider, Boualem 33 2008 Two-dimensional generalized solitary waves and periodic waves under an ice sheet. Zbl 1228.86002Vanden-Broeck, Jean-Marc; Părău, Emilian I. 32 2011 Eulerian-Lagrangian analysis for particle velocities and trajectories in a pure wave motion using particle image velocimetry. Zbl 1250.76042Umeyama, Motohiko 32 2012 Modelling cardiac mechanical properties in three dimensions. Zbl 0994.92013Costa, Kevin D.; Holmes, Jeffrey W.; McCulloch, Andrew D. 31 2001 Socio-economic applications of finite state mean field games. Zbl 1353.91015Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 31 2014 On the structure of the theory of polar elasticity. Zbl 0916.73005Maugin, G. A. 30 1998 Generalized Hopf bifurcation for non-smooth planar systems. Zbl 1097.37502Küpper, Tassilo; Moritz, Susanne 30 2001 Polynomial sum of squares in fluid dynamics: a review with a look ahead. Zbl 1353.76021Chernyshenko, S. I.; Goulart, P.; Huang, D.; Papachristodoulou, A. 30 2014 Experimental study of impact oscillator with one-sided elastic constraint. Zbl 1153.74302Ing, James; Pavlovskaia, Ekaterina; Wiercigroch, Marian; Banerjee, Soumitro 30 2008 Non-existence of solitary water waves in three dimensions. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1013.76015Craig, Walter 29 2002 Lattice Boltzmann simulations of contact line motion in a liquid-gas system. Zbl 1001.76078Briant, A. J.; Papatzacos, P.; Yeomans, J. M. 29 2002 A lattice kinetic scheme for incompressible viscous flows with heat transfer. Zbl 1018.76034Inamuro, Takaji 29 2002 A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113Osborne, J. M.; Walter, A.; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M. 29 2010 A physical model of the turbulent boundary layer consonant with mean momentum balance structure. Zbl 1152.76407Klewicki, Joe; Fife, Paul; Wei, Tie; McMurtry, Pat 29 2007 Note on the velocity and related fields of steady irrotational two-dimensional surface gravity waves. Zbl 1250.76033Clamond, Didier 28 2012 Long-time asymptotics of the Navier-Stokes and vorticity equations on \({\mathbb R}^ 3\). Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1048.35055Gallay, Thierry; Wayne, C. Eugene 28 2002 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036Pareschi, L.; Toscani, G. 28 2014 What are we learning from simulating wall turbulence? Zbl 1152.76406Jiménez, Javier; Moser, Robert D. 28 2007 Some predictions of the attached eddy model for a high Reynolds number boundary layer. Zbl 1152.76414Nickels, T. B.; Marusic, I.; Hafez, S.; Hutchins, N.; Chong, M. S. 28 2007 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 27 2009 Review of theoretical modelling approaches of Rayleigh-Taylor instabilities and turbulent mixing. Zbl 1192.76003Abarzhi, Snezhana I. 27 2010 Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028Livescu, D. 27 2013 Quantum algorithms: entanglement-enhanced information processing. Zbl 1152.81837Ekert, Artur; Jozsa, Richard 27 1998 The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview. Zbl 1219.82139Lakshmanan, M. 27 2011 Collapsing cavities, toroidal bubbles and jet impact. Zbl 0893.76009Blake, J. R.; Hooton, M. C.; Robinson, P. B.; Tong, R. P. 27 1997 Water entry and exit of horizontal circular cylinders. Zbl 0890.76010Greenhow, Martin; Moyo, Simiso 27 1997 Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Zbl 1228.86004Squire, Vernon A. 26 2011 Delays in activity-based neural networks. Zbl 1185.92003Coombes, Stephen; Laing, Carlo 26 2009 New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows. Zbl 1068.76044Reese, Jason M.; Gallis, Michael A.; Lockerby, Duncan A. 26 2003 Acoustic cavitation: The fluid dynamics of non-spherical bubbles. Zbl 1013.76074Blake, John R.; Keen, Giles S.; Tong, Robert P.; Wilson, Miles 26 1999 Absolute and convective instabilities of spatially periodic flows. Zbl 0871.76032Brevdo, Leonid; Bridges, Thomas J. 26 1996 Genetic design of solids possessing a random-particulate microstructure. Zbl 1134.74353Zohdi, T. I. 26 2003 Large deviations and gradient flows. Zbl 1292.82023Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 26 2013 The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. Zbl 1202.37112Dawes, J. H. P. 26 2010 Hysteretic effects of dry friction: Modelling and experimental studies. Zbl 1153.70302Wojewoda, Jerzy; Stefański, Andrzej; Wiercigroch, Marian; Kapitaniak, Tomasz 26 2008 Three-dimensional waves beneath an ice sheet due to a steadily moving pressure. Zbl 1228.86008Părău, Emilian I.; Vanden-Broeck, Jean-Marc 25 2011 Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst 25 2002 Introduction: mixing in microfluidics. Zbl 1069.76501Ottino, Julio M.; Wiggins, Stephen 25 2004 A fast multipole method for Maxwell equations stable at all frequencies. Zbl 1079.78030Darve, Eric; Havé, Pascal 25 2004 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 25 2013 Introduction: Theory of hybrid dynamical systems and its applications to biological and medical systems. Zbl 1211.37099Aihara, Kazuyuki; Suzuki, Hideyuki 25 2010 Elastic rods, rigid bodies, quaternions and the last quadrature. Zbl 0895.73029Kehrbaum, S.; Maddocks, J. H. 25 1997 The mathematical challenges and modelling of hydroelasticity. Zbl 1228.74004Korobkin, Alexander; Părău, Emilian I.; Vanden-Broeck, Jean-Marc 24 2011 Multi-scale models of cell and tissue dynamics. Zbl 1185.74066Stolarska, Magdalena A.; Kim, Yangjin; Othmer, Hans G. 24 2009 Statistical challenges of high-dimensional data. Zbl 1185.62007Johnstone, Iain M.; Titterington, D. Michael 24 2009 A non-local rheology for dense granular flows. Zbl 1192.76062Pouliquen, Olivier; Forterre, Yoel 24 2009 Nonlinear dynamics of milling processes. Zbl 1056.74026Balachandran, B. 24 2001 30 years of finite-gap integration theory. Zbl 1153.37419Matveev, Vladimir B. 24 2008 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004Lin, Fanghua; Wang, Changyou 78 2014 Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064Tadmor, Eitan; Tan, Changhui 74 2014 Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028Fyodorov, Yan V.; Keating, Jonathan P. 65 2014 Partial differential equation models in macroeconomics. Zbl 1353.91027Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin 60 2014 Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130Noja, Diego 60 2014 Mean-field sparse optimal control. Zbl 1353.49014Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 50 2014 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038Albi, G.; Pareschi, L.; Zanella, M. 50 2014 Socio-economic applications of finite state mean field games. Zbl 1353.91015Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 31 2014 Polynomial sum of squares in fluid dynamics: a review with a look ahead. Zbl 1353.76021Chernyshenko, S. I.; Goulart, P.; Huang, D.; Papachristodoulou, A. 30 2014 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036Pareschi, L.; Toscani, G. 28 2014 On global minimizers of repulsive-attractive power-law interaction energies. Zbl 1353.49002Carrillo, José Antonio; Chipot, Michel; Huang, Yanghong 22 2014 From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem. Zbl 1353.91013Blanchet, Adrien; Carlier, Guillaume 20 2014 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 18 2014 The nodal count \(\{0,1,2,3,\ldots\}\) implies the graph is a tree. Zbl 1352.34019Band, Ram 16 2014 Partial differential equation models in the socio-economic sciences. Zbl 1353.00004 15 2014 Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122Chernyshev, V. L.; Shafarevich, A. I. 15 2014 Canonical exact coherent structures embedded in high Reynolds number flows. Zbl 1353.76012Deguchi, K.; Hall, Philip 14 2014 Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions. Zbl 1322.81042Berkolaiko, Gregory; Weyand, Tracy 13 2014 Polynomials for crystal frameworks and the rigid unit mode spectrum. Zbl 1353.52016Power, S. C. 11 2014 Unsteady separation in vortex-induced boundary layers. Zbl 1353.76017Cassel, K. W.; Conlisk, A. T. 10 2014 Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model. Zbl 1353.92037Li, Xuejin; Peng, Zhangli; Lei, Huan; Dao, Ming; Karniadakis, George Em 9 2014 Quantum chaos for point scatterers on flat tori. Zbl 1322.81051Ueberschär, Henrik 8 2014 Group-theoretic insights on the vibration of symmetric structures in engineering. Zbl 1353.74037Zingoni, Alphose 7 2014 The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus. Zbl 1353.52017Ross, Elissa 7 2014 Encoding range minima and range top-2 queries. Zbl 1353.68059Davoodi, Pooya; Navarro, Gonzalo; Raman, Rajeev; Rao, S. Srinivasa 7 2014 Instability of supersonic compression ramp flow. Zbl 1353.76048Logue, R. P.; Gajjar, J. S. B.; Ruban, A. I. 7 2014 Reduced-order modelling numerical homogenization. Zbl 1353.74067Abdulle, A.; Bai, Y. 7 2014 Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052Zelditch, Steve 7 2014 Periodic planar disc packings. Zbl 1353.52010Connelly, Robert; Dickinson, William 6 2014 On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018Stachel, Hellmuth 6 2014 More reliable forecasts with less precise computations: a fast-track route to cloud-resolved weather and climate simulators? Zbl 1353.86023Palmer, T. N. 6 2014 On recent developments in marginal separation theory. Zbl 1353.76040Braun, S.; Scheichl, S. 6 2014 Skin friction on a flapping plate in uniform flow. Zbl 1353.76041Ehrenstein, Uwe; Marquillie, Matthieu; Eloy, Christophe 6 2014 Effect of free-stream turbulence on boundary layer transition. Zbl 1353.76025Goldstein, M. E. 6 2014 Three-dimensional multi-scale model of deformable platelets adhesion to vessel wall in blood flow. Zbl 1353.76096Wu, Ziheng; Xu, Zhiliang; Kim, Oleg; Alber, Mark 6 2014 Calculation of multi-fractal dimensions in spin chains. Zbl 1322.81047Atas, Y. Y.; Bogomolny, E. 6 2014 How does symmetry impact the flexibility of proteins? Zbl 1353.92070Schulze, Bernd; Sljoka, Adnan; Whiteley, Walter 5 2014 Electronic non-adiabatic states: towards a density functional theory beyond the Born-Oppenheimer approximation. Zbl 1353.81122Gidopoulos, Nikitas I.; Gross, E. K. U. 5 2014 On the relationship between histogram indexing and block-mass indexing. Zbl 1353.68311Amir, Amihood; Butman, Ayelet; Porat, Ely 5 2014 Increasing horizontal resolution in numerical weather prediction and climate simulations: illusion or panacea? Zbl 1353.86027Wedi, Nils P. 5 2014 Addressing model error through atmospheric stochastic physical parametrizations: impact on the coupled ECMWF seasonal forecasting system. Zbl 1353.86028Weisheimer, Antje; Corti, Susanna; Palmer, Tim; Vitart, Frederic 5 2014 Non-local crime density estimation incorporating housing information. Zbl 1353.62137Woodworth, J. T.; Mohler, G. O.; Bertozzi, A. L.; Brantingham, P. J. 5 2014 A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049Berestycki, Henri; Monneau, Regis; Scheinkman, José A. 5 2014 Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006Bérard, P.; Helffer, B. 5 2014 Hybrid indexes for repetitive datasets. Zbl 1353.68315Ferrada, H.; Gagie, T.; Hirvola, T.; Puglisi, S. J. 4 2014 Collisions, rebounds and skimming. Zbl 1353.76043Liu, Kevin; Smith, Frank T. 4 2014 Inverse problems in geographical economics: parameter identification in the spatial Solow model. Zbl 1353.91026Engbers, Ralf; Burger, Martin; Capasso, Vincenzo 4 2014 Neumann nodal domains. Zbl 1322.81044McDonald, Ross B.; Fulling, Stephen A. 4 2014 Frameworks with crystallographic symmetry. Zbl 1353.52019Borcea, Ciprian S.; Streinu, Ileana 3 2014 Inexactness and a future of computing. Zbl 1353.68078Palem, Krishna V. 3 2014 Multiscale modelling and simulation: a position paper. Zbl 1355.65001Hoekstra, Alfons; Chopard, Bastien; Coveney, Peter 3 2014 Time-delayed feedback control of breathing localized structures in a three-component reaction-diffusion system. Zbl 1353.35300Gurevich, Svetlana V. 3 2014 Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions. Zbl 1322.35135Gnutzmann, Sven; Lois, Stylianos 3 2014 Rigidity of periodic and symmetric structures in nature and engineering. Zbl 1353.00012 2 2014 Density functional tight binding. Zbl 1353.92110Elstner, Marcus; Seifert, Gotthard 2 2014 Shelf life modelling for first-expired-first-out warehouse management. Zbl 1353.90007Hertog, Maarten L. A. T. M.; Uysal, Ismail; McCarthy, Ultan; Verlinden, Bert M.; Nicolaï, Bart M. 2 2014 Stochastic modelling and energy-efficient computing for weather and climate prediction. Zbl 1353.00014 2 2014 Triple-deck analysis of transonic high Reynolds number flow through slender channels. Zbl 1353.76047Kluwick, A.; Kornfeld, M. 2 2014 Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042Fornberg, Bengt; Elcrat, Alan R. 2 2014 Concurrent multiscale modelling of atomistic and hydrodynamic processes in liquids. Zbl 1353.76002Markesteijn, Anton; Karabasov, Sergey; Scukins, Arturs; Nerukh, Dmitry; Glotov, Vyacheslav; Goloviznin, Vasily 2 2014 Propagation of short stress pulses in discrete strongly nonlinear tunable metamaterials. Zbl 1353.74041Xu, Yichao; Nesterenko, Vitali F. 2 2014 Complex patterns in wave functions: drums, graphs and disorder. Zbl 1321.00093 2 2014 Symmetry-extended counting rules for periodic frameworks. Zbl 1353.74019Guest, S. D.; Fowler, P. W. 1 2014 Fragmentary and incidental behaviour of columns, slabs, and crystals. Zbl 1353.74022Whiteley, Walter 1 2014 Flexibility mechanisms in ideal zeolite frameworks. Zbl 1353.74021Treacy, M. M. J.; Dawson, C. J.; Kapko, V.; Rivin, I. 1 2014 Large-scale detection of repetitions. Zbl 1353.68227Smyth, W. F. 1 2014 Indexing a sequence for mapping reads with a single mismatch. Zbl 1353.68314Crochemore, Maxime; Langiu, Alessio; Rahman, M. Sohel 1 2014 Influence of stochastic sea ice parametrization on climate and the role of atmosphere-sea ice-ocean interaction. Zbl 1353.86020Juricke, Stephan; Jung, Thomas 1 2014 Assessing parametrization uncertainty associated with horizontal resolution in numerical weather prediction models. Zbl 1353.86024Shutts, Glenn; Callado Pallarès, Alfons 1 2014 Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations. Zbl 1353.86010Kitsios, V.; Frederiksen, J. S.; Zidikheri, M. J. 1 2014 Correction: Hydrodynamics at the smallest scales: a solvability criterion for Navier-Stokes equations in high dimensions. Zbl 1353.76016Viswanathan, T. M.; Viswanathan, G. M. 1 2014 On the role of acoustic feedback in boundary-layer instability. Zbl 1353.76078Wu, Xuesong 1 2014 Gross separation approaching a blunt trailing edge as the turbulence intensity increases. Zbl 1353.76033Scheichl, B. 1 2014 High-resolution coupled physics solvers for analysing fine-scale nuclear reactor design problems. Zbl 1353.82087Mahadevan, Vijay S.; Merzari, Elia; Tautges, Timothy; Jain, Rajeev; Obabko, Aleksandr; Smith, Michael; Fischer, Paul 1 2014 Mesoscale dynamic coupling of finite- and discrete-element methods for fluid-particle interactions. Zbl 1353.76051Srivastava, S.; Yazdchi, K.; Luding, S. 1 2014 Performance of distributed multiscale simulations. Zbl 1353.65142Borgdorff, J.; Ben Belgacem, M.; Bona-Casas, C.; Fazendeiro, L.; Groen, D.; Hoenen, O.; Mizeranschi, A.; Suter, J. L.; Coster, D.; Coveney, P. V.; Dubitzky, W.; Hoekstra, A. G.; Strand, P.; Chopard, B. 1 2014 Rheological signatures in limit cycle behaviour of dilute active, polar liquid crystalline polymers in steady shear. Zbl 1353.82075Forest, M. Gregory; Phuworawong, Panon; Wang, Qi; Zhou, Ruhai 1 2014 Spectral statistics of permutation matrices. Zbl 1322.65028Oren, Idan; Smilansky, Uzy 1 2014 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 134 2013 Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas 56 2013 Chaos synchronization in fractional differential systems. Zbl 1342.34070Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen 44 2013 Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149Liero, Matthias; Mielke, Alexander 37 2013 Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan 35 2013 Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028Livescu, D. 27 2013 Large deviations and gradient flows. Zbl 1292.82023Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 26 2013 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 25 2013 Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 23 2013 Regime shifts in models of dryland vegetation. Zbl 1353.86006Zelnik, Yuval R.; Kinast, Shai; Yizhaq, Hezi; Bel, Golan; Meron, Ehud 22 2013 The role of nonlinear substrate elasticity in the wrinkling of thin films. Zbl 1327.74102Hutchinson, John W. 21 2013 The Bethe ansatz and the Tzitzéica-Bullough-Dodd equation. Zbl 1270.82004Dorey, Patrick; Faldella, Simone; Negro, Stefano; Tateo, Roberto 19 2013 The density ratio dependence of self-similar Rayleigh-Taylor mixing. Zbl 1353.76031Youngs, David L. 19 2013 The mechanically based non-local elasticity: an overview of main results and future challenges. Zbl 1327.74023Di Paola, Mario; Failla, Giuseppe; Pirrotta, Antonina; Sofi, Alba; Zingales, Massimiliano 18 2013 A semi-discrete finite element method for a class of time-fractional diffusion equations. Zbl 1339.65156Sun, HongGuang; Chen, Wen; Sze, K. Y. 17 2013 Review article: \(\mathcal {PT}\)-symmetric deformations of integrable models. Zbl 1270.82002Fring, Andreas 16 2013 The consensus problem in networks with transmission delays. Zbl 1353.94089Atay, Fatihcan M. 16 2013 Dynamics, control and information in delay-coupled systems: an overview. Zbl 1353.00010 15 2013 Amplitude and phase dynamics in oscillators with distributed-delay coupling. Zbl 1353.34045Kyrychko, Y. N.; Blyuss, K. B.; Schöll, E. 14 2013 New directions for Rayleigh-Taylor mixing. Zbl 1353.76027Glimm, James; Sharp, David H.; Kaman, Tulin; Lim, Hyunkyung 14 2013 Equivalent system for a multiple-rational-order fractional differential system. Zbl 1342.34012Li, Changpin; Zhang, Fengrong; Kurths, Jürgen; Zeng, Fanhai 14 2013 On efficient simulations of multiscale kinetic transport. Zbl 1353.76030Radtke, Gregg A.; Péraud, Jean-Philippe M.; Hadjiconstantinou, Nicolas G. 12 2013 ...and 1029 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 14,918 Authors 50 Rezapour, Shahram 37 Băleanu, Dumitru I. 30 Marusic, Ivan 28 Smith, Frank T. 25 Quarteroni, Alfio M. 23 Etemad, Sina 23 Hutchins, Nicholas 23 Vanden-Broeck, Jean-Marc 22 Ahmad, Bashir 22 Blanes, Sergio 22 Zohdi, Tarek I. 21 Wang, Lianping 20 Majda, Andrew J. 20 Wang, Yushun 19 Kuhl, Ellen 19 Luo, Lishi 18 Aihara, Kazuyuki 18 Al-saedi, Ahmed Eid Salem 18 Carrillo de la Plata, José Antonio 18 Constantin, Adrian 17 Casas, Fernando 17 Celledoni, Elena 17 McKeon, Beverley J. 17 Petersen, Ian Richard 17 Schöll, Eckehard 17 Stépán, Gábor 17 Succi, Sauro 17 Wiercigroch, Marian 17 Yin, Zhaoyang 16 Hwang, Yongyun 16 Klewicki, Joseph C. 16 Krafczyk, Manfred 16 Martin, Calin-Iulian 16 Owren, Brynjulf 16 Wu, Xinyuan 15 Guo, Zhaoli 15 Monty, Jason P. 15 Ntouyas, Sotiris K. 15 Peng, Cheng 15 Tan, Changhui 15 Zanella, Mattia 14 Albi, Giacomo 14 Caginalp, Gunduz 14 Dede’, Luca 14 Ganapathisubramani, Bharathram 14 Korobkin, Alexander A. 14 Trevelyan, Jon 14 Xu, Jian 13 Escher, Joachim 13 Fantuzzi, Giovanni 13 Insperger, Tamás 13 Mohammadi, Hakimeh 13 Părău, Emilian I. 13 Quispel, Gilles Reinout Willem 13 Samei, Mohammad Esmael 13 Smits, Alexander J. 13 Tadmor, Eitan 12 Agarwal, Ravi P. 12 Cai, Wenjun 12 Cao, Qingjie 12 Choi, Young-Pil 12 Donoho, David Leigh 12 Gough, John E. 12 Hall, Philip 12 Liu, Fawang 12 Ma, Wen-Xiu 12 Milewski, Paul A. 12 Priest, Eric R. 12 Ruiz-Baier, Ricardo 12 Sahoo, Trilochan 12 Schlatter, Philipp 12 Shi, Baochang 12 Willis, Ashley P. 11 Burger, Martin 11 Geier, Martin 11 Hirata, Yoshito 11 Hutter, Kolumban 11 Lallemand, Pierre 11 Mielke, Alexander 11 Pareschi, Lorenzo 11 Peletier, Mark Adriaan 11 Pelinovsky, Dmitry Efimovich 11 Sandstede, Björn 11 Thiffeault, Jean-Luc 11 Wang, Bin 11 Wu, Xuesong 11 Yang, Xiaosong 11 Zanolin, Fabio 10 Asinari, Pietro 10 Brugnano, Luigi 10 Chai, Zhenhua 10 Chen, Xi 10 Chung, Daniel 10 Deguchi, Kengo 10 Drikakis, Dimitris 10 Goluskin, David 10 Henry, David 10 Iavernaro, Felice 10 Iserles, Arieh 10 Laghrouche, Omar ...and 14,818 more Authors all top 5 Cited in 735 Journals 830 Journal of Fluid Mechanics 386 Journal of Computational Physics 219 Computers and Fluids 178 Physica D 168 Computer Methods in Applied Mechanics and Engineering 145 Physics of Fluids 128 Computers & Mathematics with Applications 121 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 118 Chaos 114 Journal of Computational and Applied Mathematics 100 Nonlinear Dynamics 100 Communications in Nonlinear Science and Numerical Simulation 97 Journal of High Energy Physics 93 Physica A 93 Applied Mathematics and Computation 90 Journal of Differential Equations 90 Advances in Difference Equations 90 Journal of Theoretical Biology 88 Journal of Mathematical Physics 83 Philosophical Transactions of the Royal Society of London. 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Zeitschrift für angewandte Mathematik und Physik 21 Multibody System Dynamics 20 Biological Cybernetics 20 SIAM Journal on Numerical Analysis 20 Quantitative Finance 20 Foundations of Computational Mathematics 20 International Journal of Wavelets, Multiresolution and Information Processing 20 Computational & Mathematical Methods in Medicine 20 Mathematical Modelling of Natural Phenomena 19 International Journal of Theoretical Physics 19 BIT 19 Numerische Mathematik 19 Discrete & Computational Geometry 19 Journal of Nonlinear Mathematical Physics 19 Mathematical Biosciences and Engineering 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Nuclear Physics. B 18 Advances in Mathematics 18 Applied Mathematics and Optimization 18 Journal of Functional Analysis 18 SIAM Journal on Control and Optimization ...and 635 more Journals all top 5 Cited in 62 Fields 3,016 Fluid mechanics (76-XX) 1,778 Partial differential equations (35-XX) 1,389 Numerical analysis (65-XX) 992 Mechanics of deformable solids (74-XX) 990 Biology and other natural sciences (92-XX) 906 Ordinary differential equations (34-XX) 785 Dynamical systems and ergodic theory (37-XX) 571 Quantum theory (81-XX) 492 Statistical mechanics, structure of matter (82-XX) 460 Systems theory; control (93-XX) 408 Probability theory and stochastic processes (60-XX) 380 Statistics (62-XX) 326 Mechanics of particles and systems (70-XX) 309 Computer science (68-XX) 308 Geophysics (86-XX) 290 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 268 Calculus of variations and optimal control; optimization (49-XX) 221 Information and communication theory, circuits (94-XX) 212 Relativity and gravitational theory (83-XX) 199 Operations research, mathematical programming (90-XX) 192 Optics, electromagnetic theory (78-XX) 172 Operator theory (47-XX) 169 Real functions (26-XX) 163 Classical thermodynamics, heat transfer (80-XX) 132 Harmonic analysis on Euclidean spaces (42-XX) 105 Global analysis, analysis on manifolds (58-XX) 100 Differential geometry (53-XX) 90 Integral equations (45-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 80 Combinatorics (05-XX) 68 Number theory (11-XX) 67 Mathematical logic and foundations (03-XX) 60 Functional analysis (46-XX) 59 General and overarching topics; collections (00-XX) 57 Difference and functional equations (39-XX) 56 Astronomy and astrophysics (85-XX) 55 Special functions (33-XX) 46 Algebraic geometry (14-XX) 44 Convex and discrete geometry (52-XX) 43 Nonassociative rings and algebras (17-XX) 41 Approximations and expansions (41-XX) 37 History and biography (01-XX) 30 Manifolds and cell complexes (57-XX) 29 General topology (54-XX) 27 Topological groups, Lie groups (22-XX) 26 Measure and integration (28-XX) 24 Group theory and generalizations (20-XX) 24 Functions of a complex variable (30-XX) 22 Integral transforms, operational calculus (44-XX) 18 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Geometry (51-XX) 11 Algebraic topology (55-XX) 9 Field theory and polynomials (12-XX) 6 Category theory; homological algebra (18-XX) 6 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 2 General algebraic systems (08-XX) 2 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year