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 2,873 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 1,135 Publications have been cited 10,965 times in 9,363 Documents Cited by ▼ Year ▼ Multiple-relaxation-time lattice Boltzmann models in three dimensions. Zbl 1001.76081 d’Humières, Dominique; Ginzburg, Irina; Krafczyk, Manfred; Lallemand, Pierre; Luo, Li-Shi 353 2002 Geometric integration using discrete gradients. Zbl 0933.65143 McLachlan, Robert I.; Quispel, G. R. W.; Robidoux, Nicolas 231 1999 Large-scale influences in near-wall turbulence. Zbl 1152.76421 Hutchins, Nicholas; Marusic, Ivan 161 2007 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009 Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 137 2013 Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060 Holzapfel, Gerhard A.; Ogden, Ray W. 121 2009 On the solution of lienar differential equations in Lie groups. Zbl 0958.65080 Iserles, A.; Nørsett, S. P. 116 1999 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503 Candès, Emmanuel J.; Donoho, David L. 110 1999 Large- and very-large-scale motions in channel and boundary-layer flows. Zbl 1152.76369 Balakumar, B. J.; Adrian, R. J. 101 2007 Quantum computation, entanglement and state reduction. Zbl 1152.81659 Penrose, Roger 95 1998 Systematic design of phononic band-gap materials and structures by topology optimization. Zbl 1067.74053 Sigmund, Ole; Jensen, Jakob Søndergaard 93 2003 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004 Lin, Fanghua; Wang, Changyou 88 2014 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074 Marsden, Jerrold E.; Shkoller, Steve 79 2001 Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064 Tadmor, Eitan; Tan, Changhui 79 2014 High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014 Hesthaven, J. S.; Warburton, T. 77 2004 Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028 Fyodorov, Yan V.; Keating, Jonathan P. 76 2014 Water waves and integrability. Zbl 1152.76322 Ivanov, Rossen I. 69 2007 Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130 Noja, Diego 66 2014 Partial differential equation models in macroeconomics. Zbl 1353.91027 Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin 65 2014 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029 Donoho, David; Tanner, Jared 64 2009 A two-fluid model for avalanche and debris flows. Zbl 1152.86302 Pitman, E. Bruce; Le, Long 64 2005 Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004 Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas 63 2013 Higher-order Boussinesq-type equations for surface gravity waves: Derivation and analysis. Zbl 0930.35137 Madsen, P. A.; Schäffer, H. A. 58 1998 Delayed feedback control of chaos. Zbl 1152.93477 Pyragas, Kestutis 58 2006 Traffic jams: dynamics and control. Zbl 1202.90075 Orosz, Gábor; Wilson, R. Eddie; Stépán, Gábor 57 2010 Mean-field sparse optimal control. Zbl 1353.49014 Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 55 2014 Computations in a free Lie algebra. Zbl 0956.65056 Munthe-Kaas, Hans; Owren, Brynjulf 52 1999 Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics. Zbl 1153.34329 Cao, Qingjie; Wiercigroch, Marian; Pavlovskaia, Ekaterina E.; Thompson, J. Michael T.; Grebogi, Celso 52 2008 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038 Albi, G.; Pareschi, L.; Zanella, M. 52 2014 Foundations of chaotic mixing. Zbl 1069.76502 Wiggins, Stephen; Ottino, Julio M. 51 2004 Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case. Zbl 1073.78004 Bruno, Oscar P.; Geuzaine, Christophe A.; Monro, John A.; Reitich, Fernando 50 2004 Approach to an asymptotic state for zero pressure gradient turbulent boundary layers. Zbl 1152.76412 Nagib, Hassan M.; Chauhan, Kapil A.; Monkewitz, Peter A. 50 2007 Image processing with complex wavelets. Zbl 0976.68527 Kingsbury, Nick 48 1999 Chaos synchronization in fractional differential systems. Zbl 1342.34070 Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen 48 2013 On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Zbl 1106.76363 Theofilis, Vassilios; Hein, Stefan; Dallmann, Uwe 46 2000 A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers. Zbl 0861.76012 Buffoni, B.; Groves, M. D.; Toland, J. F. 44 1996 Modelling the dynamics of dengue real epidemics. Zbl 1211.37116 Pinho, S. T. R.; Ferreira, C. P.; Esteva, L.; Barreto, F. R.; Silva, V. C. Morato E.; Teixeira, M. G. L. 43 2010 A market model for stochastic implied volatility. Zbl 0963.91046 Schönbucher, Philipp J. 42 1999 Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering. Zbl 1073.78016 Perrey-Debain, E.; Laghrouche, O.; Bettess, P.; Trevelyan, J. 42 2004 Time-delayed feedback in neurosystems. Zbl 1185.34108 Schöll, Eckehard; Hiller, Gerald; Hövel, Philipp; Dahlem, Markus A. 42 2009 Large eddy simulation using high-resolution and high-order methods. Zbl 1185.76719 Drikakis, D.; Hahn, M.; Mosedale, A.; Thornber, B. 42 2009 Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149 Liero, Matthias; Mielke, Alexander 41 2013 Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142 Budd, C. J.; Iserles, A. 39 1999 Modelling nonlinear hydroelastic waves. Zbl 1228.76027 Plotnikov, P. I.; Toland, J. F. 39 2011 Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094 Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan 39 2013 Sufficient dimension reduction and prediction in regression. Zbl 1185.62109 Adragni, Kofi P.; Cook, R. Dennis 37 2009 Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations. Zbl 1152.37344 Kolev, Boris 37 2007 Modelling nonlinear regenerative effects in metal cutting. Zbl 1169.74431 Stépán, Gábor 36 2001 Holographic non-Fermi-liquid fixed points. Zbl 1219.81211 Faulkner, Tom; Iqbal, Nabil; Liu, Hong; Mcgreevy, John; Vegh, David 36 2011 Renormalization group and the Planck scale. Zbl 1228.82028 Litim, Daniel F. 35 2011 A note on semi-discrete modelling in the life sciences. Zbl 1192.37119 Mailleret, Ludovic; Lemesle, Valérie 35 2009 An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315 Majda, Andrew J.; Franzke, Christian; Khouider, Boualem 34 2008 Rotational steady water waves near stagnation. Zbl 1152.76328 Constantin, Adrian; Strauss, Walter 34 2007 Modelling cardiac mechanical properties in three dimensions. Zbl 0994.92013 Costa, Kevin D.; Holmes, Jeffrey W.; McCulloch, Andrew D. 33 2001 Gravity, gauge theories and geometric algebra. Zbl 0945.83023 Lasenby, A.; Doran, C.; Gull, S. 33 1998 On the structure of the theory of polar elasticity. Zbl 0916.73005 Maugin, G. A. 33 1998 Two-dimensional generalized solitary waves and periodic waves under an ice sheet. Zbl 1228.86002 Vanden-Broeck, Jean-Marc; Părău, Emilian I. 33 2011 Socio-economic applications of finite state mean field games. Zbl 1353.91015 Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 33 2014 The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview. Zbl 1219.82139 Lakshmanan, M. 33 2011 Large deviations and gradient flows. Zbl 1292.82023 Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 32 2013 Eulerian-Lagrangian analysis for particle velocities and trajectories in a pure wave motion using particle image velocimetry. Zbl 1250.76042 Umeyama, Motohiko 32 2012 Polynomial sum of squares in fluid dynamics: a review with a look ahead. Zbl 1353.76021 Chernyshenko, S. I.; Goulart, P.; Huang, D.; Papachristodoulou, A. 32 2014 Non-existence of solitary water waves in three dimensions. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1013.76015 Craig, Walter 31 2002 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 1048.35055 Gallay, Thierry; Wayne, C. Eugene 30 2002 Generalized Hopf bifurcation for non-smooth planar systems. Zbl 1097.37502 Küpper, Tassilo; Moritz, Susanne 30 2001 Experimental study of impact oscillator with one-sided elastic constraint. Zbl 1153.74302 Ing, James; Pavlovskaia, Ekaterina; Wiercigroch, Marian; Banerjee, Soumitro 30 2008 A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113 Osborne, 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. 30 2010 Lattice Boltzmann simulations of contact line motion in a liquid-gas system. Zbl 1001.76078 Briant, A. J.; Papatzacos, P.; Yeomans, J. M. 29 2002 A lattice kinetic scheme for incompressible viscous flows with heat transfer. Zbl 1018.76034 Inamuro, Takaji 29 2002 30 years of finite-gap integration theory. Zbl 1153.37419 Matveev, Vladimir B. 29 2008 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 29 2014 A physical model of the turbulent boundary layer consonant with mean momentum balance structure. Zbl 1152.76407 Klewicki, 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 1250.76033 Clamond, Didier 28 2012 Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028 Livescu, D. 28 2013 Some predictions of the attached eddy model for a high Reynolds number boundary layer. Zbl 1152.76414 Nickels, T. B.; Marusic, I.; Hafez, S.; Hutchins, N.; Chong, M. S. 28 2007 Collapsing cavities, toroidal bubbles and jet impact. Zbl 0893.76009 Blake, J. R.; Hooton, M. C.; Robinson, P. B.; Tong, R. P. 27 1997 Water entry and exit of horizontal circular cylinders. Zbl 0890.76010 Greenhow, Martin; Moyo, Simiso 27 1997 New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows. Zbl 1068.76044 Reese, Jason M.; Gallis, Michael A.; Lockerby, Duncan A. 27 2003 Quantum algorithms: entanglement-enhanced information processing. Zbl 1152.81837 Ekert, Artur; Jozsa, Richard 27 1998 Delays in activity-based neural networks. Zbl 1185.92003 Coombes, Stephen; Laing, Carlo 27 2009 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113 Donoho, David; Jin, Jiashun 27 2009 What are we learning from simulating wall turbulence? Zbl 1152.76406 Jiménez, Javier; Moser, Robert D. 27 2007 Review of theoretical modelling approaches of Rayleigh-Taylor instabilities and turbulent mixing. Zbl 1192.76003 Abarzhi, Snezhana I. 27 2010 Absolute and convective instabilities of spatially periodic flows. Zbl 0871.76032 Brevdo, Leonid; Bridges, Thomas J. 26 1996 Acoustic cavitation: The fluid dynamics of non-spherical bubbles. Zbl 1013.76074 Blake, John R.; Keen, Giles S.; Tong, Robert P.; Wilson, Miles 26 1999 Genetic design of solids possessing a random-particulate microstructure. Zbl 1134.74353 Zohdi, T. I. 26 2003 Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Zbl 1228.86004 Squire, Vernon A. 26 2011 Hysteretic effects of dry friction: Modelling and experimental studies. Zbl 1153.70302 Wojewoda, Jerzy; Stefański, Andrzej; Wiercigroch, Marian; Kapitaniak, Tomasz 26 2008 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 26 2013 The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. Zbl 1202.37112 Dawes, J. H. P. 26 2010 A non-local rheology for dense granular flows. Zbl 1192.76062 Pouliquen, Olivier; Forterre, Yoel 26 2009 Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047 Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst 25 2002 Elastic rods, rigid bodies, quaternions and the last quadrature. Zbl 0895.73029 Kehrbaum, S.; Maddocks, J. H. 25 1997 Introduction: mixing in microfluidics. Zbl 1069.76501 Ottino, Julio M.; Wiggins, Stephen 25 2004 A fast multipole method for Maxwell equations stable at all frequencies. Zbl 1079.78030 Darve, Eric; Havé, Pascal 25 2004 Three-dimensional waves beneath an ice sheet due to a steadily moving pressure. Zbl 1228.86008 Părău, Emilian I.; Vanden-Broeck, Jean-Marc 25 2011 Introduction: Theory of hybrid dynamical systems and its applications to biological and medical systems. Zbl 1211.37099 Aihara, Kazuyuki; Suzuki, Hideyuki 25 2010 Statistical challenges of high-dimensional data. Zbl 1185.62007 Johnstone, Iain M.; Titterington, D. Michael 25 2009 Modelling transcriptional feedback loops: The role of Gro/TLE1 in Hes1 oscillations. Zbl 1152.92316 Bernard, Samuel; Čajavec, Branka; Pujo-Menjouet, Laurent; Mackey, Michael C.; Herzel, Hanspeter 25 2006 Nonlinear dynamics of milling processes. Zbl 1056.74026 Balachandran, B. 24 2001 The mathematical challenges and modelling of hydroelasticity. Zbl 1228.74004 Korobkin, Alexander; Părău, Emilian I.; Vanden-Broeck, Jean-Marc 24 2011 Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004 Lin, Fanghua; Wang, Changyou 88 2014 Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064 Tadmor, Eitan; Tan, Changhui 79 2014 Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028 Fyodorov, Yan V.; Keating, Jonathan P. 76 2014 Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130 Noja, Diego 66 2014 Partial differential equation models in macroeconomics. Zbl 1353.91027 Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin 65 2014 Mean-field sparse optimal control. Zbl 1353.49014 Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 55 2014 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038 Albi, G.; Pareschi, L.; Zanella, M. 52 2014 Socio-economic applications of finite state mean field games. Zbl 1353.91015 Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese 33 2014 Polynomial sum of squares in fluid dynamics: a review with a look ahead. Zbl 1353.76021 Chernyshenko, S. I.; Goulart, P.; Huang, D.; Papachristodoulou, A. 32 2014 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 29 2014 On global minimizers of repulsive-attractive power-law interaction energies. Zbl 1353.49002 Carrillo, José Antonio; Chipot, Michel; Huang, Yanghong 22 2014 From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem. Zbl 1353.91013 Blanchet, Adrien; Carlier, Guillaume 21 2014 Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122 Chernyshev, V. L.; Shafarevich, A. I. 19 2014 Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051 Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 18 2014 The nodal count \(\{0,1,2,3,\ldots\}\) implies the graph is a tree. Zbl 1352.34019 Band, Ram 16 2014 Partial differential equation models in the socio-economic sciences. Zbl 1353.00004 15 2014 Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions. Zbl 1322.81042 Berkolaiko, Gregory; Weyand, Tracy 14 2014 Canonical exact coherent structures embedded in high Reynolds number flows. Zbl 1353.76012 Deguchi, K.; Hall, Philip 14 2014 Polynomials for crystal frameworks and the rigid unit mode spectrum. Zbl 1353.52016 Power, S. C. 11 2014 Unsteady separation in vortex-induced boundary layers. Zbl 1353.76017 Cassel, K. W.; Conlisk, A. T. 10 2014 Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model. Zbl 1353.92037 Li, Xuejin; Peng, Zhangli; Lei, Huan; Dao, Ming; Karniadakis, George Em 10 2014 Quantum chaos for point scatterers on flat tori. Zbl 1322.81051 Ueberschär, Henrik 8 2014 Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052 Zelditch, Steve 8 2014 Reduced-order modelling numerical homogenization. Zbl 1353.74067 Abdulle, A.; Bai, Y. 8 2014 Calculation of multi-fractal dimensions in spin chains. Zbl 1322.81047 Atas, Y. Y.; Bogomolny, E. 7 2014 Group-theoretic insights on the vibration of symmetric structures in engineering. Zbl 1353.74037 Zingoni, Alphose 7 2014 Periodic planar disc packings. Zbl 1353.52010 Connelly, Robert; Dickinson, William 7 2014 The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus. Zbl 1353.52017 Ross, Elissa 7 2014 Encoding range minima and range top-2 queries. Zbl 1353.68059 Davoodi, Pooya; Navarro, Gonzalo; Raman, Rajeev; Rao, S. Srinivasa 7 2014 Instability of supersonic compression ramp flow. Zbl 1353.76048 Logue, R. P.; Gajjar, J. S. B.; Ruban, A. I. 7 2014 On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018 Stachel, Hellmuth 6 2014 Addressing model error through atmospheric stochastic physical parametrizations: impact on the coupled ECMWF seasonal forecasting system. Zbl 1353.86028 Weisheimer, Antje; Corti, Susanna; Palmer, Tim; Vitart, Frederic 6 2014 More reliable forecasts with less precise computations: a fast-track route to cloud-resolved weather and climate simulators? Zbl 1353.86023 Palmer, T. N. 6 2014 On recent developments in marginal separation theory. Zbl 1353.76040 Braun, S.; Scheichl, S. 6 2014 Skin friction on a flapping plate in uniform flow. Zbl 1353.76041 Ehrenstein, Uwe; Marquillie, Matthieu; Eloy, Christophe 6 2014 Effect of free-stream turbulence on boundary layer transition. Zbl 1353.76025 Goldstein, M. E. 6 2014 Three-dimensional multi-scale model of deformable platelets adhesion to vessel wall in blood flow. Zbl 1353.76096 Wu, Ziheng; Xu, Zhiliang; Kim, Oleg; Alber, Mark 6 2014 Neumann nodal domains. Zbl 1322.81044 McDonald, Ross B.; Fulling, Stephen A. 5 2014 Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006 Bérard, P.; Helffer, B. 5 2014 How does symmetry impact the flexibility of proteins? Zbl 1353.92070 Schulze, Bernd; Sljoka, Adnan; Whiteley, Walter 5 2014 Electronic non-adiabatic states: towards a density functional theory beyond the Born-Oppenheimer approximation. Zbl 1353.81122 Gidopoulos, Nikitas I.; Gross, E. K. U. 5 2014 On the relationship between histogram indexing and block-mass indexing. Zbl 1353.68311 Amir, Amihood; Butman, Ayelet; Porat, Ely 5 2014 Increasing horizontal resolution in numerical weather prediction and climate simulations: illusion or panacea? Zbl 1353.86027 Wedi, Nils P. 5 2014 Non-local crime density estimation incorporating housing information. Zbl 1353.62137 Woodworth, 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 1353.91049 Berestycki, Henri; Monneau, Regis; Scheinkman, José A. 5 2014 Frameworks with crystallographic symmetry. Zbl 1353.52019 Borcea, Ciprian S.; Streinu, Ileana 4 2014 Hybrid indexes for repetitive datasets. Zbl 1353.68315 Ferrada, H.; Gagie, T.; Hirvola, T.; Puglisi, S. J. 4 2014 Collisions, rebounds and skimming. Zbl 1353.76043 Liu, Kevin; Smith, Frank T. 4 2014 Inverse problems in geographical economics: parameter identification in the spatial Solow model. Zbl 1353.91026 Engbers, Ralf; Burger, Martin; Capasso, Vincenzo 4 2014 Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions. Zbl 1322.35135 Gnutzmann, Sven; Lois, Stylianos 3 2014 Density functional tight binding. Zbl 1353.92110 Elstner, Marcus; Seifert, Gotthard 3 2014 Inexactness and a future of computing. Zbl 1353.68078 Palem, Krishna V. 3 2014 Multiscale modelling and simulation: a position paper. Zbl 1355.65001 Hoekstra, Alfons; Chopard, Bastien; Coveney, Peter 3 2014 Time-delayed feedback control of breathing localized structures in a three-component reaction-diffusion system. Zbl 1353.35300 Gurevich, Svetlana V. 3 2014 Complex patterns in wave functions: drums, graphs and disorder. Zbl 1321.00093 2 2014 Rigidity of periodic and symmetric structures in nature and engineering. Zbl 1353.00012 2 2014 Shelf life modelling for first-expired-first-out warehouse management. Zbl 1353.90007 Hertog, 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 1353.76047 Kluwick, A.; Kornfeld, M. 2 2014 Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042 Fornberg, Bengt; Elcrat, Alan R. 2 2014 Concurrent multiscale modelling of atomistic and hydrodynamic processes in liquids. Zbl 1353.76002 Markesteijn, 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 1353.74041 Xu, Yichao; Nesterenko, Vitali F. 2 2014 Spectral statistics of permutation matrices. Zbl 1322.65028 Oren, Idan; Smilansky, Uzy 1 2014 Symmetry-extended counting rules for periodic frameworks. Zbl 1353.74019 Guest, S. D.; Fowler, P. W. 1 2014 Fragmentary and incidental behaviour of columns, slabs, and crystals. Zbl 1353.74022 Whiteley, Walter 1 2014 Flexibility mechanisms in ideal zeolite frameworks. Zbl 1353.74021 Treacy, M. M. J.; Dawson, C. J.; Kapko, V.; Rivin, I. 1 2014 Aqueous solutions: state of the art in ab initio molecular dynamics. Zbl 1353.92111 Hassanali, Ali A.; Cuny, Jérôme; Verdolino, Vincenzo; Parrinello, Michele 1 2014 Density functional theory across chemistry, physics and biology. Zbl 1353.92114 van Mourik, Tanja; Bühl, Michael; Gaigeot, Marie-Pierre 1 2014 Large-scale detection of repetitions. Zbl 1353.68227 Smyth, W. F. 1 2014 Indexing a sequence for mapping reads with a single mismatch. Zbl 1353.68314 Crochemore, 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 1353.86020 Juricke, Stephan; Jung, Thomas 1 2014 Assessing parametrization uncertainty associated with horizontal resolution in numerical weather prediction models. Zbl 1353.86024 Shutts, Glenn; Callado Pallarès, Alfons 1 2014 Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations. Zbl 1353.86010 Kitsios, V.; Frederiksen, J. S.; Zidikheri, M. J. 1 2014 Enhanced regime predictability in atmospheric low-order models due to stochastic forcing. Zbl 1353.86022 Kwasniok, Frank 1 2014 Correction: Hydrodynamics at the smallest scales: a solvability criterion for Navier-Stokes equations in high dimensions. Zbl 1353.76016 Viswanathan, T. M.; Viswanathan, G. M. 1 2014 On the role of acoustic feedback in boundary-layer instability. Zbl 1353.76078 Wu, Xuesong 1 2014 Gross separation approaching a blunt trailing edge as the turbulence intensity increases. Zbl 1353.76033 Scheichl, B. 1 2014 High-resolution coupled physics solvers for analysing fine-scale nuclear reactor design problems. Zbl 1353.82087 Mahadevan, 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 1353.76051 Srivastava, S.; Yazdchi, K.; Luding, S. 1 2014 Performance of distributed multiscale simulations. Zbl 1353.65142 Borgdorff, 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 1353.82075 Forest, M. Gregory; Phuworawong, Panon; Wang, Qi; Zhou, Ruhai 1 2014 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009 Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 137 2013 Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004 Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas 63 2013 Chaos synchronization in fractional differential systems. Zbl 1342.34070 Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen 48 2013 Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149 Liero, Matthias; Mielke, Alexander 41 2013 Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094 Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan 39 2013 Large deviations and gradient flows. Zbl 1292.82023 Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes 32 2013 Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028 Livescu, D. 28 2013 Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Zbl 1339.65151 Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin 26 2013 Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181 Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A. 23 2013 Regime shifts in models of dryland vegetation. Zbl 1353.86006 Zelnik, 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 1327.74102 Hutchinson, John W. 21 2013 The Bethe ansatz and the Tzitzéica-Bullough-Dodd equation. Zbl 1270.82004 Dorey, Patrick; Faldella, Simone; Negro, Stefano; Tateo, Roberto 21 2013 The mechanically based non-local elasticity: an overview of main results and future challenges. Zbl 1327.74023 Di Paola, Mario; Failla, Giuseppe; Pirrotta, Antonina; Sofi, Alba; Zingales, Massimiliano 20 2013 The density ratio dependence of self-similar Rayleigh-Taylor mixing. Zbl 1353.76031 Youngs, David L. 20 2013 The consensus problem in networks with transmission delays. Zbl 1353.94089 Atay, Fatihcan M. 18 2013 A semi-discrete finite element method for a class of time-fractional diffusion equations. Zbl 1339.65156 Sun, HongGuang; Chen, Wen; Sze, K. Y. 17 2013 Review article: \(\mathcal {PT}\)-symmetric deformations of integrable models. Zbl 1270.82002 Fring, Andreas 16 2013 Dynamics, control and information in delay-coupled systems: an overview. Zbl 1353.00010 16 2013 Amplitude and phase dynamics in oscillators with distributed-delay coupling. Zbl 1353.34045 Kyrychko, Y. N.; Blyuss, K. B.; Schöll, E. 14 2013 ...and 1035 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,619 Authors 50 Rezapour, Shahram 37 Băleanu, Dumitru I. 30 Marusic, Ivan 28 Smith, Frank T. 24 Ahmad, Bashir 24 Quarteroni, Alfio M. 23 Etemad, Sina 23 Hutchins, Nicholas 23 Vanden-Broeck, Jean-Marc 22 Blanes, Sergio 22 Wang, Lianping 22 Zohdi, Tarek I. 21 Wang, Yushun 20 Al-saedi, Ahmed Eid Salem 20 Majda, Andrew J. 19 Carrillo de la Plata, José Antonio 19 Kuhl, Ellen 19 Luo, Lishi 18 Aihara, Kazuyuki 18 Constantin, Adrian 18 Petersen, Ian Richard 18 Schöll, Eckehard 18 Tan, Changhui 17 Casas, Fernando 17 Celledoni, Elena 17 McKeon, Beverley J. 17 Stépán, Gábor 17 Succi, Sauro 17 Wiercigroch, Marian 17 Yin, Zhaoyang 16 Dede’, Luca 16 Hwang, Yongyun 16 Klewicki, Joseph C. 16 Krafczyk, Manfred 16 Martin, Calin-Iulian 16 Ntouyas, Sotiris K. 16 Owren, Brynjulf 16 Peng, Cheng 16 Wu, Xinyuan 15 Guo, Zhaoli 15 Monty, Jason P. 15 Xu, Jian 15 Zanella, Mattia 14 Albi, Giacomo 14 Caginalp, Gunduz 14 Cai, Wenjun 14 Ganapathisubramani, Bharathram 14 Insperger, Tamás 14 Korobkin, Alexander A. 14 Liu, Fawang 14 Sahoo, Trilochan 14 Shi, Baochang 14 Trevelyan, Jon 13 Escher, Joachim 13 Fantuzzi, Giovanni 13 Ma, Wen-Xiu 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 Cao, Qingjie 12 Chai, Zhenhua 12 Chernyshev, Vsevolod L. 12 Choi, Young-Pil 12 Donoho, David Leigh 12 Gough, John E. 12 Hall, Philip 12 Lallemand, Pierre 12 Mielke, Alexander 12 Milewski, Paul A. 12 Peletier, Mark Adriaan 12 Pelinovsky, Dmitry Efimovich 12 Piccoli, Benedetto 12 Priest, Eric R. 12 Ruiz-Baier, Ricardo 12 Sandstede, Björn 12 Schlatter, Philipp 12 Willis, Ashley P. 11 Burger, Martin 11 Geier, Martin 11 Hirata, Yoshito 11 Hutter, Kolumban 11 Pareschi, Lorenzo 11 Thiffeault, Jean-Luc 11 Wahlén, Erik 11 Walsh, Samuel 11 Wang, Bin 11 Wu, Xuesong 11 Zanolin, Fabio 11 Zhou, Shouming 10 Asinari, Pietro 10 Band, Ram 10 Brugnano, Luigi 10 Chen, Xi 10 Chung, Daniel 10 Deguchi, Kengo 10 Drikakis, Dimitris ...and 15,519 more Authors all top 5 Cited in 764 Journals 847 Journal of Fluid Mechanics 389 Journal of Computational Physics 220 Computers and Fluids 182 Physica D 172 Computer Methods in Applied Mechanics and Engineering 145 Physics of Fluids 136 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 104 Journal of High Energy Physics 103 Communications in Nonlinear Science and Numerical Simulation 101 Nonlinear Dynamics 96 Physica A 93 Applied Mathematics and Computation 93 Journal of Differential Equations 91 Journal of Theoretical Biology 90 Journal of Mathematical Physics 90 Advances in Difference Equations 83 Philosophical Transactions of the Royal Society of London. 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