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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/year
http://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.
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Latest Issues

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366, No. 1881 (2008)
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366, No. 1875 (2008)
366, No. 1873 (2008)
366, No. 1872 (2008)
366, No. 1871 (2008)
...and 85 more Volumes
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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 2,875 more Authors
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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

Citations contained in zbMATH Open

1,147 Publications have been cited 11,415 times in 9,758 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
371
2002
Geometric integration using discrete gradients. Zbl 0933.65143
McLachlan, Robert I.; Quispel, G. R. W.; Robidoux, Nicolas
241
1999
Large-scale influences in near-wall turbulence. Zbl 1152.76421
Hutchins, Nicholas; Marusic, Ivan
162
2007
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
141
2013
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
125
2009
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
123
1999
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
114
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
100
1998
Systematic design of phononic band-gap materials and structures by topology optimization. Zbl 1067.74053
Sigmund, Ole; Jensen, Jakob Søndergaard
96
2003
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
91
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.
80
2014
Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074
Marsden, Jerrold E.; Shkoller, Steve
80
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.
78
2004
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
72
2014
Water waves and integrability. Zbl 1152.76322
Ivanov, Rossen I.
71
2007
Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004
Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas
70
2013
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
68
2009
Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130
Noja, Diego
66
2014
A two-fluid model for avalanche and debris flows. Zbl 1152.86302
Pitman, E. Bruce; Le, Long
65
2005
Delayed feedback control of chaos. Zbl 1152.93477
Pyragas, Kestutis
64
2006
Higher-order Boussinesq-type equations for surface gravity waves: Derivation and analysis. Zbl 0930.35137
Madsen, P. A.; Schäffer, H. A.
62
1998
Traffic jams: dynamics and control. Zbl 1202.90075
Orosz, Gábor; Wilson, R. Eddie; Stépán, Gábor
57
2010
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
57
2014
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
56
2014
Foundations of chaotic mixing. Zbl 1069.76502
Wiggins, Stephen; Ottino, Julio M.
54
2004
Computations in a free Lie algebra. Zbl 0956.65056
Munthe-Kaas, Hans; Owren, Brynjulf
54
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
54
2008
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
51
2004
Image processing with complex wavelets. Zbl 0976.68527
Kingsbury, Nick
50
1999
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
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.
45
1996
Time-delayed feedback in neurosystems. Zbl 1185.34108
Schöll, Eckehard; Hiller, Gerald; Hövel, Philipp; Dahlem, Markus A.
44
2009
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
44
1999
Large eddy simulation using high-resolution and high-order methods. Zbl 1185.76719
Drikakis, D.; Hahn, M.; Mosedale, A.; Thornber, B.
43
2009
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
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
43
2013
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.
43
2004
Renormalization group and the Planck scale. Zbl 1228.82028
Litim, Daniel F.
42
2011
The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview. Zbl 1219.82139
Lakshmanan, M.
42
2011
A market model for stochastic implied volatility. Zbl 0963.91046
Schönbucher, Philipp J.
42
1999
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
40
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
40
2013
Sufficient dimension reduction and prediction in regression. Zbl 1185.62109
Adragni, Kofi P.; Cook, R. Dennis
38
2009
An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
38
2008
A note on semi-discrete modelling in the life sciences. Zbl 1192.37119
Mailleret, Ludovic; Lemesle, Valérie
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
Holographic non-Fermi-liquid fixed points. Zbl 1219.81211
Faulkner, Tom; Iqbal, Nabil; Liu, Hong; Mcgreevy, John; Vegh, David
36
2011
Modelling nonlinear regenerative effects in metal cutting. Zbl 1169.74431
Stépán, Gábor
36
2001
Two-dimensional generalized solitary waves and periodic waves under an ice sheet. Zbl 1228.86002
Vanden-Broeck, Jean-Marc; Părău, Emilian I.
35
2011
Gravity, gauge theories and geometric algebra. Zbl 0945.83023
Lasenby, A.; Doran, C.; Gull, S.
34
1998
Modelling cardiac mechanical properties in three dimensions. Zbl 0994.92013
Costa, Kevin D.; Holmes, Jeffrey W.; McCulloch, Andrew D.
34
2001
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
34
2007
Experimental study of impact oscillator with one-sided elastic constraint. Zbl 1153.74302
Ing, James; Pavlovskaia, Ekaterina; Wiercigroch, Marian; Banerjee, Soumitro
34
2008
Socio-economic applications of finite state mean field games. Zbl 1353.91015
Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese
34
2014
On the structure of the theory of polar elasticity. Zbl 0916.73005
Maugin, G. A.
33
1998
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
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
32
2002
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.
32
2014
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.
31
2010
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.
31
2007
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
Lattice Boltzmann simulations of contact line motion in a liquid-gas system. Zbl 1001.76078
Briant, A. J.; Papatzacos, P.; Yeomans, J. M.
30
2002
Generalized Hopf bifurcation for non-smooth planar systems. Zbl 1097.37502
Küpper, Tassilo; Moritz, Susanne
30
2001
A lattice kinetic scheme for incompressible viscous flows with heat transfer. Zbl 1018.76034
Inamuro, Takaji
30
2002
30 years of finite-gap integration theory. Zbl 1153.37419
Matveev, Vladimir B.
30
2008
Delays in activity-based neural networks. Zbl 1185.92003
Coombes, Stephen; Laing, Carlo
29
2009
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
Quantum algorithms: entanglement-enhanced information processing. Zbl 1152.81837
Ekert, Artur; Jozsa, Richard
29
1998
The Dicke model in quantum optics: Dicke model revisited. Zbl 1219.81283
Garraway, Barry M.
28
2011
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
Review of theoretical modelling approaches of Rayleigh-Taylor instabilities and turbulent mixing. Zbl 1192.76003
Abarzhi, Snezhana I.
27
2010
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
27
2009
Acoustic cavitation: The fluid dynamics of non-spherical bubbles. Zbl 1013.76074
Blake, John R.; Keen, Giles S.; Tong, Robert P.; Wilson, Miles
27
1999
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
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
27
2013
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
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
27
2006
What are we learning from simulating wall turbulence? Zbl 1152.76406
Jiménez, Javier; Moser, Robert D.
27
2007
A non-local rheology for dense granular flows. Zbl 1192.76062
Pouliquen, Olivier; Forterre, Yoel
26
2009
Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Zbl 1228.86004
Squire, Vernon A.
26
2011
Introduction: Theory of hybrid dynamical systems and its applications to biological and medical systems. Zbl 1211.37099
Aihara, Kazuyuki; Suzuki, Hideyuki
26
2010
The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. Zbl 1202.37112
Dawes, J. H. P.
26
2010
Genetic design of solids possessing a random-particulate microstructure. Zbl 1134.74353
Zohdi, T. I.
26
2003
Absolute and convective instabilities of spatially periodic flows. Zbl 0871.76032
Brevdo, Leonid; Bridges, Thomas J.
26
1996
Introduction: mixing in microfluidics. Zbl 1069.76501
Ottino, Julio M.; Wiggins, Stephen
26
2004
Aircraft icing. Zbl 0997.76092
Gent, R. W.; Dart, N. P.; Cansdale, J. T.
26
2000
Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
26
2002
Hysteretic effects of dry friction: Modelling and experimental studies. Zbl 1153.70302
Wojewoda, Jerzy; Stefański, Andrzej; Wiercigroch, Marian; Kapitaniak, Tomasz
26
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
26
2008
Statistical challenges of high-dimensional data. Zbl 1185.62007
Johnstone, Iain M.; Titterington, D. Michael
25
2009
The mathematical challenges and modelling of hydroelasticity. Zbl 1228.74004
Korobkin, Alexander; Părău, Emilian I.; Vanden-Broeck, Jean-Marc
25
2011
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
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
91
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.
80
2014
Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064
Tadmor, Eitan; Tan, Changhui
79
2014
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
72
2014
Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130
Noja, Diego
66
2014
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
57
2014
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
56
2014
Socio-economic applications of finite state mean field games. Zbl 1353.91015
Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese
34
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.
32
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.
20
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
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
17
2014
The nodal count \(\{0,1,2,3,\ldots\}\) implies the graph is a tree. Zbl 1352.34019
Band, Ram
16
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
15
2014
Canonical exact coherent structures embedded in high Reynolds number flows. Zbl 1353.76012
Deguchi, K.; Hall, Philip
14
2014
Calculation of multi-fractal dimensions in spin chains. Zbl 1322.81047
Atas, Y. Y.; Bogomolny, E.
11
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
9
2014
Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052
Zelditch, Steve
8
2014
Group-theoretic insights on the vibration of symmetric structures in engineering. Zbl 1353.74037
Zingoni, Alphose
8
2014
Encoding range minima and range top-2 queries. Zbl 1353.68059
Davoodi, Pooya; Navarro, Gonzalo; Raman, Rajeev; Rao, S. Srinivasa
8
2014
Reduced-order modelling numerical homogenization. Zbl 1353.74067
Abdulle, A.; Bai, Y.
8
2014
Periodic planar disc packings. Zbl 1353.52010
Connelly, Robert; Dickinson, William
7
2014
On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018
Stachel, Hellmuth
7
2014
The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus. Zbl 1353.52017
Ross, Elissa
7
2014
Instability of supersonic compression ramp flow. Zbl 1353.76048
Logue, R. P.; Gajjar, J. S. B.; Ruban, A. I.
7
2014
Hybrid indexes for repetitive datasets. Zbl 1353.68315
Ferrada, H.; Gagie, T.; Hirvola, T.; Puglisi, S. J.
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
Collisions, rebounds and skimming. Zbl 1353.76043
Liu, Kevin; Smith, Frank T.
4
2014
Multiscale modelling and simulation: a position paper. Zbl 1355.65001
Hoekstra, Alfons; Chopard, Bastien; Coveney, Peter
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
Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042
Fornberg, Bengt; Elcrat, Alan R.
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
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
141
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
70
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
43
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
40
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
27
2013
The Bethe ansatz and the Tzitzéica-Bullough-Dodd equation. Zbl 1270.82004
Dorey, Patrick; Faldella, Simone; Negro, Stefano; Tateo, Roberto
25
2013
Regime shifts in models of dryland vegetation. Zbl 1353.86006
Zelnik, Yuval R.; Kinast, Shai; Yizhaq, Hezi; Bel, Golan; Meron, Ehud
24
2013
Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181
Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A.
23
2013
The role of nonlinear substrate elasticity in the wrinkling of thin films. Zbl 1327.74102
Hutchinson, John W.
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
21
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.
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
Review article: \(\mathcal {PT}\)-symmetric deformations of integrable models. Zbl 1270.82002
Fring, Andreas
17
2013
Equivalent system for a multiple-rational-order fractional differential system. Zbl 1342.34012
Li, Changpin; Zhang, Fengrong; Kurths, Jürgen; Zeng, Fanhai
16
2013
Gaussian processes for time-series modelling. Zbl 1353.62103
Roberts, S.; Osborne, M.; Ebden, M.; Reece, S.; Gibson, N.; Aigrain, S.
16
2013
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Cited by 16,199 Authors

50 Rezapour, Shahram
37 Băleanu, Dumitru I.
30 Marusic, Ivan
30 Smith, Frank T.
29 Quarteroni, Alfio M.
24 Ahmad, Bashir
24 Blanes, Sergio
24 Etemad, Sina
23 Hutchins, Nicholas
23 Vanden-Broeck, Jean-Marc
23 Wang, Lianping
22 Majda, Andrew J.
22 Zohdi, Tarek I.
21 Wang, Yushun
20 Al-saedi, Ahmed Eid Salem
19 Carrillo de la Plata, José Antonio
19 Kuhl, Ellen
19 Luo, Lishi
18 Aihara, Kazuyuki
18 Casas, Fernando
18 Constantin, Adrian
18 Petersen, Ian Richard
18 Schöll, Eckehard
18 Stépán, Gábor
18 Tan, Changhui
18 Wiercigroch, Marian
17 Celledoni, Elena
17 Martin, Calin-Iulian
17 McKeon, Beverley J.
17 Ntouyas, Sotiris K.
17 Peng, Cheng
17 Succi, Sauro
17 Wu, Xinyuan
17 Yin, Zhaoyang
17 Zanella, Mattia
16 Dede’, Luca
16 Guo, Zhaoli
16 Hwang, Yongyun
16 Klewicki, Joseph C.
16 Krafczyk, Manfred
16 Ma, Wen-Xiu
16 Owren, Brynjulf
16 Xu, Jian
15 Insperger, Tamás
15 Korobkin, Alexander A.
15 Liu, Fawang
15 Monty, Jason P.
15 Shi, Baochang
14 Albi, Giacomo
14 Caginalp, Gunduz
14 Cai, Wenjun
14 Ganapathisubramani, Bharathram
14 Părău, Emilian I.
14 Sahoo, Trilochan
14 Trevelyan, Jon
13 Escher, Joachim
13 Fantuzzi, Giovanni
13 Gough, John E.
13 Mohammadi, Hakimeh
13 Quispel, Gilles Reinout Willem
13 Samei, Mohammad Esmael
13 Smits, Alexander J.
13 Tadmor, Eitan
13 Willis, Ashley P.
12 Agarwal, Ravi P.
12 Cao, Qingjie
12 Chai, Zhenhua
12 Chernyshev, Vsevolod L.
12 Choi, Young-Pil
12 Donoho, David Leigh
12 Hall, Philip
12 Hirata, Yoshito
12 Lallemand, Pierre
12 Mielke, Alexander
12 Milewski, Paul A.
12 Pareschi, Lorenzo
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 Wang, Bin
11 Brugnano, Luigi
11 Burger, Martin
11 Geier, Martin
11 Hutter, Kolumban
11 Iavernaro, Felice
11 Ito, Katsushi
11 Thiffeault, Jean-Luc
11 Wahlén, Erik
11 Walsh, Samuel
11 Wu, Xuesong
11 Zanolin, Fabio
11 Zhou, Shouming
10 Asinari, Pietro
10 Band, Ram
10 Chen, Xi
10 Chung, Daniel
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Cited in 777 Journals

858 Journal of Fluid Mechanics
406 Journal of Computational Physics
229 Computers and Fluids
193 Physica D
179 Computer Methods in Applied Mechanics and Engineering
145 Physics of Fluids
142 Communications in Nonlinear Science and Numerical Simulation
140 Computers & Mathematics with Applications
122 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
120 Journal of Computational and Applied Mathematics
119 Chaos
105 Physica A
105 Journal of High Energy Physics
102 Nonlinear Dynamics
98 Applied Mathematics and Computation
94 Journal of Theoretical Biology
93 Journal of Differential Equations
91 Journal of Mathematical Physics
90 Advances in Difference Equations
83 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
78 Physics Letters. A
78 European Journal of Mechanics. B. Fluids
76 Journal of Physics A: Mathematical and Theoretical
71 Archive for Rational Mechanics and Analysis
69 Chaos, Solitons and Fractals
68 Applied Mathematical Modelling
67 Journal of Mathematical Analysis and Applications
64 Journal of Engineering Mathematics
64 Journal of the Mechanics and Physics of Solids
60 Communications in Mathematical Physics
58 Wave Motion
58 Bulletin of Mathematical Biology
57 SIAM Journal on Mathematical Analysis
56 Journal of Nonlinear Science
55 Applied Numerical Mathematics
54 Journal of Statistical Physics
53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
53 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
51 Journal of Scientific Computing
51 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
50 Journal of Statistical Mechanics: Theory and Experiment
48 Journal of Mathematical Biology
47 Discrete and Continuous Dynamical Systems
46 Nonlinearity
46 Computational Mechanics
46 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
46 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
45 Mathematics and Computers in Simulation
44 Computer Physics Communications
43 Quantum Information Processing
42 Nonlinear Analysis. Real World Applications
41 Acta Mechanica
39 Mathematical Biosciences
39 Mathematical Problems in Engineering
38 Applied and Computational Harmonic Analysis
37 SIAM Journal on Scientific Computing
37 New Journal of Physics
36 Meccanica
36 Engineering Analysis with Boundary Elements
36 European Journal of Mechanics. A. Solids
36 SIAM Journal on Applied Dynamical Systems
35 International Journal of Engineering Science
34 Geophysical and Astrophysical Fluid Dynamics
34 Automatica
34 International Journal for Numerical Methods in Engineering
31 Physics Reports
31 Discrete and Continuous Dynamical Systems. Series B
31 Communications in Computational Physics
30 Journal of Mathematical Fluid Mechanics
29 Annals of Physics
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28 Nuclear Physics. B
28 Numerical Algorithms
27 Mathematics and Mechanics of Solids
27 Foundations of Physics
25 The Annals of Statistics
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25 International Journal of Robust and Nonlinear Control
24 Applied Mathematics Letters
24 Continuum Mechanics and Thermodynamics
24 Acta Mechanica Sinica
23 International Journal of Solids and Structures
23 SIAM Journal on Numerical Analysis
22 International Journal of Theoretical Physics
22 Applied Mathematics and Optimization
22 Journal of Computational Neuroscience
21 Mathematical Methods in the Applied Sciences
21 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Multibody System Dynamics
21 Journal of Cosmology and Astroparticle Physics
20 Biological Cybernetics
20 Journal of the Franklin Institute
20 BIT
20 Calculus of Variations and Partial Differential Equations
20 Journal of Nonlinear Mathematical Physics
20 Quantitative Finance
20 Foundations of Computational Mathematics
20 Multiscale Modeling & Simulation
20 International Journal of Wavelets, Multiresolution and Information Processing
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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Cited in 62 Fields

3,200 Fluid mechanics (76-XX)
1,973 Partial differential equations (35-XX)
1,512 Numerical analysis (65-XX)
1,061 Mechanics of deformable solids (74-XX)
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876 Dynamical systems and ergodic theory (37-XX)
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498 Systems theory; control (93-XX)
453 Probability theory and stochastic processes (60-XX)
418 Statistics (62-XX)
358 Mechanics of particles and systems (70-XX)
342 Computer science (68-XX)
330 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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246 Relativity and gravitational theory (83-XX)
237 Information and communication theory, circuits (94-XX)
218 Operations research, mathematical programming (90-XX)
217 Optics, electromagnetic theory (78-XX)
192 Operator theory (47-XX)
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117 Global analysis, analysis on manifolds (58-XX)
108 Linear and multilinear algebra; matrix theory (15-XX)
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