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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: 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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366, No. 1872 (2008)
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...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, Sam D.
5 Kohl, Peter
5 Noble, Denis
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 Smith, Nicolas P.
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 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 Le Grice, Ian
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 Palmer, Tim
3 Pavlovskaia, Ekaterina E.
3 Peletier, Mark Adriaan
3 Penrose, Roger
3 Ponte Castañeda, Pedro
3 Rosso, Osvaldo A.
3 Serra, Roberto M.
3 Sreenivasan, Katepalli R.
3 Toschi, Federico
3 Travers, A. A.
3 Unruh, William G.
3 Vassilicos, John-Christos
3 Viswanathan, Gandhimohan M.
3 Voss, Andreas
...and 2,866 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

1,080 Publications have been cited 8,309 times in 7,057 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
272
2002
Geometric integration using discrete gradients. Zbl 0933.65143
McLachlan, Robert I.; Quispel, G. R. W.; Robidoux, Nicolas
150
1999
Large-scale influences in near-wall turbulence. Zbl 1152.76421
Hutchins, Nicholas; Marusic, Ivan
134
2007
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
98
1999
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
94
1999
Large- and very-large-scale motions in channel and boundary-layer flows. Zbl 1152.76369
Balakumar, B. J.; Adrian, R. J.
86
2007
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
76
2009
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
64
2004
Systematic design of phononic band-gap materials and structures by topology optimization. Zbl 1067.74053
Sigmund, Ole; Jensen, Jakob Søndergaard
62
2003
Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074
Marsden, Jerrold E.; Shkoller, Steve
59
2001
Water waves and integrability. Zbl 1152.76322
Ivanov, Rossen I.
57
2007
Quantum computation, entanglement and state reduction. Zbl 1152.81659
Penrose, Roger
52
1998
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
51
2013
A two-fluid model for avalanche and debris flows. Zbl 1152.86302
Pitman, E. Bruce; Le, Long
50
2005
Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064
Tadmor, Eitan; Tan, Changhui
50
2014
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
48
2014
Delayed feedback control of chaos. Zbl 1152.93477
Pyragas, Kestutis
47
2006
Computations in a free Lie algebra. Zbl 0956.65056
Munthe-Kaas, Hans; Owren, Brynjulf
46
1999
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
46
2009
Higher-order Boussinesq-type equations for surface gravity waves: Derivation and analysis. Zbl 0930.35137
Madsen, P. A.; Schäffer, H. A.
44
1998
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
43
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.
42
2007
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.
42
2014
Foundations of chaotic mixing. Zbl 1069.76502
Wiggins, Stephen; Ottino, Julio M.
42
2004
Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004
Sierociuk, Dominik; Dzieliński, Andrzej; Sarwas, Grzegorz; Petras, Ivo; Podlubny, Igor; Skovranek, Tomas
41
2013
Image processing with complex wavelets. Zbl 0976.68527
Kingsbury, Nick
40
1999
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.
38
1996
Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130
Noja, Diego
37
2014
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.
37
2004
On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Zbl 1106.76363
Theofilis, Vassilios; Hein, Stefan; Dallmann, Uwe
37
2000
A market model for stochastic implied volatility. Zbl 0963.91046
Schönbucher, Philipp J.
36
1999
Traffic jams: dynamics and control. Zbl 1202.90075
Orosz, Gábor; Wilson, R. Eddie; Stépán, Gábor
36
2010
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
34
2007
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
34
1999
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
34
2014
Large eddy simulation using high-resolution and high-order methods. Zbl 1185.76719
Drikakis, D.; Hahn, M.; Mosedale, A.; Thornber, B.
34
2009
Modelling nonlinear regenerative effects in metal cutting. Zbl 1169.74431
Stépán, Gábor
33
2001
Partial differential equation models in macroeconomics. Zbl 1353.91027
Achdou, Yves; Buera, Francisco J.; Lasry, Jean-Michel; Lions, Pierre-Louis; Moll, Benjamin
33
2014
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
32
2014
Time-delayed feedback in neurosystems. Zbl 1185.34108
Schöll, Eckehard; Hiller, Gerald; Hövel, Philipp; Dahlem, Markus A.
31
2009
Rotational steady water waves near stagnation. Zbl 1152.76328
Constantin, Adrian; Strauss, Walter
30
2007
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
30
2008
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
30
2013
Modelling nonlinear hydroelastic waves. Zbl 1228.76027
Plotnikov, P. I.; Toland, J. F.
29
2011
Eulerian-Lagrangian analysis for particle velocities and trajectories in a pure wave motion using particle image velocimetry. Zbl 1250.76042
Umeyama, Motohiko
29
2012
Gravity, gauge theories and geometric algebra. Zbl 0945.83023
Lasenby, A.; Doran, C.; Gull, S.
28
1998
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.
26
2007
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
26
2007
An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
26
2008
Collapsing cavities, toroidal bubbles and jet impact. Zbl 0893.76009
Blake, J. R.; Hooton, M. C.; Robinson, P. B.; Tong, R. P.
26
1997
On the structure of the theory of polar elasticity. Zbl 0916.73005
Maugin, G. A.
26
1998
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.
26
2010
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
26
2013
Modelling cardiac mechanical properties in three dimensions. Zbl 0994.92013
Costa, Kevin D.; Holmes, Jeffrey W.; McCulloch, Andrew D.
25
2001
Lattice Boltzmann simulations of contact line motion in a liquid-gas system. Zbl 1001.76078
Briant, A. J.; Papatzacos, P.; Yeomans, J. M.
25
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
25
2002
A note on semi-discrete modelling in the life sciences. Zbl 1192.37119
Mailleret, Ludovic; Lemesle, Valérie
25
2009
Renormalization group and the Planck scale. Zbl 1228.82028
Litim, Daniel F.
25
2011
Socio-economic applications of finite state mean field games. Zbl 1353.91015
Gomes, Diogo; Velho, Roberto M.; Wolfram, Marie-Therese
24
2014
Two-dimensional generalized solitary waves and periodic waves under an ice sheet. Zbl 1228.86002
Vanden-Broeck, Jean-Marc; Părău, Emilian I.
24
2011
The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. Zbl 1202.37112
Dawes, J. H. P.
24
2010
Chaos synchronization in fractional differential systems. Zbl 1342.34070
Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen
24
2013
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
23
2006
Genetic design of solids possessing a random-particulate microstructure. Zbl 1134.74353
Zohdi, T. I.
23
2003
Lattice Boltzmann simulations of binary fluid flow through porous media. Zbl 1037.76047
Tölke, Jonas; Krafczyk, Manfred; Schulz, Manuel; Rank, Ernst
23
2002
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
23
2002
New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows. Zbl 1068.76044
Reese, Jason M.; Gallis, Michael A.; Lockerby, Duncan A.
23
2003
Elastic rods, rigid bodies, quaternions and the last quadrature. Zbl 0895.73029
Kehrbaum, S.; Maddocks, J. H.
23
1997
Nonlinear dynamics of milling processes. Zbl 1056.74026
Balachandran, B.
23
2001
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.
23
2010
Delays in activity-based neural networks. Zbl 1185.92003
Coombes, Stephen; Laing, Carlo
23
2009
Sufficient dimension reduction and prediction in regression. Zbl 1185.62109
Adragni, Kofi P.; Cook, R. Dennis
23
2009
Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Zbl 1228.86004
Squire, Vernon A.
23
2011
What are we learning from simulating wall turbulence? Zbl 1152.76406
Jiménez, Javier; Moser, Robert D.
22
2007
Highly symmetric travelling waves in pipe flow. Zbl 1221.76060
Pringle, Chris C. T.; Duguet, Yohann; Kerswell, Rich R.
22
2009
Introduction: mixing in microfluidics. Zbl 1069.76501
Ottino, Julio M.; Wiggins, Stephen
22
2004
A fast multipole method for Maxwell equations stable at all frequencies. Zbl 1079.78030
Darve, Eric; Havé, Pascal
22
2004
Generalized Hopf bifurcation for non-smooth planar systems. Zbl 1097.37502
Küpper, Tassilo; Moritz, Susanne
22
2001
A lattice kinetic scheme for incompressible viscous flows with heat transfer. Zbl 1018.76034
Inamuro, Takaji
22
2002
Absolute and convective instabilities of spatially periodic flows. Zbl 0871.76032
Brevdo, Leonid; Bridges, Thomas J.
22
1996
Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028
Livescu, D.
22
2013
Note on the velocity and related fields of steady irrotational two-dimensional surface gravity waves. Zbl 1250.76033
Clamond, Didier
22
2012
The near-neutral atmospheric surface layer: Turbulence and non-stationarity. Zbl 1152.76410
Metzger, M.; McKeon, B. J.; Holmes, H.
21
2007
Experimental study of impact oscillator with one-sided elastic constraint. Zbl 1153.74302
Ing, James; Pavlovskaia, Ekaterina; Wiercigroch, Marian; Banerjee, Soumitro
21
2008
Hysteretic effects of dry friction: Modelling and experimental studies. Zbl 1153.70302
Wojewoda, Jerzy; Stefański, Andrzej; Wiercigroch, Marian; Kapitaniak, Tomasz
21
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
21
2008
Acoustic cavitation: The fluid dynamics of non-spherical bubbles. Zbl 1013.76074
Blake, John R.; Keen, Giles S.; Tong, Robert P.; Wilson, Miles
21
1999
Water entry and exit of horizontal circular cylinders. Zbl 0890.76010
Greenhow, Martin; Moyo, Simiso
21
1997
Holographic non-Fermi-liquid fixed points. Zbl 1219.81211
Faulkner, Tom; Iqbal, Nabil; Liu, Hong; Mcgreevy, John; Vegh, David
21
2011
Multi-scale models of cell and tissue dynamics. Zbl 1185.74066
Stolarska, Magdalena A.; Kim, Yangjin; Othmer, Hans G.
21
2009
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
21
2009
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
21
2013
Symmetry of steady periodic water waves with vorticity. Zbl 1152.76334
Hur, Vera Mikyoung
20
2007
The critical layer in pipe flow at high Reynolds number. Zbl 1221.76098
Viswanath, D.
20
2009
Order conditions for numerical integrators obtained by composing simpler integrators. Zbl 0946.65056
Murua, A.; Sanz-Serna, J. M.
20
1999
Physics and control of wall turbulence for drag reduction. Zbl 1219.76024
Kim, John
20
2011
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.
20
2014
On global minimizers of repulsive-attractive power-law interaction energies. Zbl 1353.49002
Carrillo, José Antonio; Chipot, Michel; Huang, Yanghong
20
2014
Exponential decay of \(H^{1}\)-localized solutions and stability of the train of \(N\) solitary waves for the Camassa-Holm equation. Zbl 1152.35470
El Dika, Khaled; Molinet, Luc
19
2007
Edge waves: Theories past and present. Zbl 1152.76301
Johnson, R. S.
19
2007
Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064
Tadmor, Eitan; Tan, Changhui
50
2014
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. Zbl 1353.76004
Lin, Fanghua; Wang, Changyou
48
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.
42
2014
Nonlinear Schrödinger equation on graphs: recent results and open problems. Zbl 1322.35130
Noja, Diego
37
2014
Mean-field sparse optimal control. Zbl 1353.49014
Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco
34
2014
Partial differential equation models in macroeconomics. Zbl 1353.91027
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33
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Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
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32
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Socio-economic applications of finite state mean field games. Zbl 1353.91015
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24
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Polynomial sum of squares in fluid dynamics: a review with a look ahead. Zbl 1353.76021
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20
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On global minimizers of repulsive-attractive power-law interaction energies. Zbl 1353.49002
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20
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Evolution of wealth in a non-conservative economy driven by local Nash equilibria. Zbl 1353.91051
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18
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Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
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18
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem. Zbl 1353.91013
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17
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Statistics of Gaussian packets on metric and decorated graphs. Zbl 1354.35122
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14
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Canonical exact coherent structures embedded in high Reynolds number flows. Zbl 1353.76012
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Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
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The nodal count \(\{0,1,2,3,\ldots\}\) implies the graph is a tree. Zbl 1352.34019
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11
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10
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Polynomials for crystal frameworks and the rigid unit mode spectrum. Zbl 1353.52016
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Unsteady separation in vortex-induced boundary layers. Zbl 1353.76017
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8
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Group-theoretic insights on the vibration of symmetric structures in engineering. Zbl 1353.74037
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6
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Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model. Zbl 1353.92037
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Calculation of multi-fractal dimensions in spin chains. Zbl 1322.81047
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The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus. Zbl 1353.52017
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More reliable forecasts with less precise computations: a fast-track route to cloud-resolved weather and climate simulators? Zbl 1353.86023
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Skin friction on a flapping plate in uniform flow. Zbl 1353.76041
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5
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Effect of free-stream turbulence on boundary layer transition. Zbl 1353.76025
Goldstein, M. E.
5
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Reduced-order modelling numerical homogenization. Zbl 1353.74067
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5
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Non-local crime density estimation incorporating housing information. Zbl 1353.62137
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5
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A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049
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5
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Neumann nodal domains. Zbl 1322.81044
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4
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Periodic planar disc packings. Zbl 1353.52010
Connelly, Robert; Dickinson, William
4
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Frameworks with crystallographic symmetry. Zbl 1353.52019
Borcea, Ciprian S.; Streinu, Ileana
4
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Encoding range minima and range top-2 queries. Zbl 1353.68059
Davoodi, Pooya; Navarro, Gonzalo; Raman, Rajeev; Rao, S. Srinivasa
4
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On the relationship between histogram indexing and block-mass indexing. Zbl 1353.68311
Amir, Amihood; Butman, Ayelet; Porat, Ely
4
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Instability of supersonic compression ramp flow. Zbl 1353.76048
Logue, R. P.; Gajjar, J. S. B.; Ruban, A. I.
4
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On recent developments in marginal separation theory. Zbl 1353.76040
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4
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Quantum chaos for point scatterers on flat tori. Zbl 1322.81051
Ueberschär, Henrik
3
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Quantum ergodicity of random orthonormal bases of spaces of high dimension. Zbl 1322.81052
Zelditch, Steve
3
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Electronic non-adiabatic states: towards a density functional theory beyond the Born-Oppenheimer approximation. Zbl 1353.81122
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3
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Hybrid indexes for repetitive datasets. Zbl 1353.68315
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3
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Increasing horizontal resolution in numerical weather prediction and climate simulations: illusion or panacea? Zbl 1353.86027
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3
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Addressing model error through atmospheric stochastic physical parametrizations: impact on the coupled ECMWF seasonal forecasting system. Zbl 1353.86028
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3
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Collisions, rebounds and skimming. Zbl 1353.76043
Liu, Kevin; Smith, Frank T.
3
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Three-dimensional multi-scale model of deformable platelets adhesion to vessel wall in blood flow. Zbl 1353.76096
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3
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Inverse problems in geographical economics: parameter identification in the spatial Solow model. Zbl 1353.91026
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3
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Complex patterns in wave functions: drums, graphs and disorder. Zbl 1321.00093
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2
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Remarks on nodal volume statistics for regular and chaotic wave functions in various dimensions. Zbl 1322.35135
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2
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On the flexibility and symmetry of overconstrained mechanisms. Zbl 1353.52018
Stachel, Hellmuth
2
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Rigidity of periodic and symmetric structures in nature and engineering. Zbl 1353.00012
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2
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Triple-deck analysis of transonic high Reynolds number flow through slender channels. Zbl 1353.76047
Kluwick, A.; Kornfeld, M.
2
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Concurrent multiscale modelling of atomistic and hydrodynamic processes in liquids. Zbl 1353.76002
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Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006
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1
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Spectral statistics of permutation matrices. Zbl 1322.65028
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1
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Density functional tight binding. Zbl 1353.92110
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Large-scale detection of repetitions. Zbl 1353.68227
Smyth, W. F.
1
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Inexactness and a future of computing. Zbl 1353.68078
Palem, Krishna V.
1
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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
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Assessing parametrization uncertainty associated with horizontal resolution in numerical weather prediction models. Zbl 1353.86024
Shutts, Glenn; Callado Pallarès, Alfons
1
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Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations. Zbl 1353.86010
Kitsios, V.; Frederiksen, J. S.; Zidikheri, M. J.
1
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Stochastic modelling and energy-efficient computing for weather and climate prediction. Zbl 1353.00014
Palmer, Tim; Düben, Peter; McNamara, Hugh
1
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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
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On the role of acoustic feedback in boundary-layer instability. Zbl 1353.76078
Wu, Xuesong
1
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Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042
Fornberg, Bengt; Elcrat, Alan R.
1
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Gross separation approaching a blunt trailing edge as the turbulence intensity increases. Zbl 1353.76033
Scheichl, B.
1
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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
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1
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Time-delayed feedback control of breathing localized structures in a three-component reaction-diffusion system. Zbl 1353.35300
Gurevich, Svetlana V.
1
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Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
51
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Modelling heat transfer in heterogeneous media using fractional calculus. Zbl 1382.80004
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2013
Gradient structures and geodesic convexity for reaction-diffusion systems. Zbl 1292.35149
Liero, Matthias; Mielke, Alexander
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2013
Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094
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26
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Chaos synchronization in fractional differential systems. Zbl 1342.34070
Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen
24
2013
Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh-Taylor instability. Zbl 1353.76028
Livescu, D.
22
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
21
2013
Large deviations and gradient flows. Zbl 1292.82023
Adams, Stefan; Dirr, Nicolas; Peletier, Mark; Zimmer, Johannes
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2013
Fronts in anomalous diffusion-reaction systems. Zbl 1353.35181
Volpert, V. A.; Nec, Y.; Nepomnyashchy, A. A.
18
2013
Regime shifts in models of dryland vegetation. Zbl 1353.86006
Zelnik, Yuval R.; Kinast, Shai; Yizhaq, Hezi; Bel, Golan; Meron, Ehud
14
2013
Equivalent system for a multiple-rational-order fractional differential system. Zbl 1342.34012
Li, Changpin; Zhang, Fengrong; Kurths, Jürgen; Zeng, Fanhai
13
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The role of nonlinear substrate elasticity in the wrinkling of thin films. Zbl 1327.74102
Hutchinson, John W.
12
2013
The consensus problem in networks with transmission delays. Zbl 1353.94089
Atay, Fatihcan M.
12
2013
Dynamics, control and information in delay-coupled systems: an overview. Zbl 1353.00010
Flunkert, Valentin; Fischer, Ingo; Schöll, Eckehard
12
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.
12
2013
Amplitude and phase dynamics in oscillators with distributed-delay coupling. Zbl 1353.34045
Kyrychko, Y. N.; Blyuss, K. B.; Schöll, E.
11
2013
Review article: \(\mathcal {PT}\)-symmetric deformations of integrable models. Zbl 1270.82002
Fring, Andreas
11
2013
The Bethe ansatz and the Tzitzéica-Bullough-Dodd equation. Zbl 1270.82004
Dorey, Patrick; Faldella, Simone; Negro, Stefano; Tateo, Roberto
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2013
An odd-number limitation of extended time-delayed feedback control in autonomous systems. Zbl 1353.34072
Amann, Andreas; Hooton, Edward W.
10
2013
Delayed feedback control of three diffusively coupled Stuart-Landau oscillators: a case study in equivariant Hopf bifurcation. Zbl 1353.34097
Schneider, Isabelle
10
2013
Mixing efficiency in natural flows. Zbl 1353.76029
Lozovatsky, I. D.; Fernando, H. J. S.
9
2013
The density ratio dependence of self-similar Rayleigh-Taylor mixing. Zbl 1353.76031
Youngs, David L.
9
2013
Pseudo-Hermitian quantum mechanics with unbounded metric operators. Zbl 1270.81093
Mostafazadeh, Ali
9
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
8
2013
New directions for Rayleigh-Taylor mixing. Zbl 1353.76027
Glimm, James; Sharp, David H.; Kaman, Tulin; Lim, Hyunkyung
8
2013
On efficient simulations of multiscale kinetic transport. Zbl 1353.76030
Radtke, Gregg A.; Péraud, Jean-Philippe M.; Hadjiconstantinou, Nicolas G.
7
2013
Turbulent mixing and beyond: non-equilibrium processes from atomistic to astrophysical scales. Zbl 1353.00003
Abarzhi, S. I.; Gauthier, S.; Sreenivasan, K. R.
7
2013
Markov chain Monte Carlo inference for Markov jump processes via the linear noise approximation. Zbl 1353.60075
Stathopoulos, Vassilios; Girolami, Mark A.
7
2013
Causal inference with multiple time series: principles and problems. Zbl 1353.62094
Eichler, Michael
7
2013
Evolution of cardiorespiratory interactions with age. Zbl 1353.92034
Iatsenko, D.; Bernjak, A.; Stankovski, T.; Shiogai, Y.; Owen-Lynch, P. J.; Clarkson, P. B. M.; McClintock, P. V. E.; Stefanovska, A.
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2013
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30 Marusic, Ivan
25 Smith, Frank T.
23 Vanden-Broeck, Jean-Marc
21 Băleanu, Dumitru I.
21 Hutchins, Nicholas
21 Zohdi, Tarek I.
20 Blanes, Sergio
19 Wang, Lianping
18 Constantin, Adrian
17 Aihara, Kazuyuki
17 Majda, Andrew J.
17 Yin, Zhaoyang
16 Carrillo de la Plata, José Antonio
16 Casas, Fernando
16 Klewicki, Joseph C.
16 Kuhl, Ellen
16 Luo, Lishi
16 McKeon, Beverley J.
16 Quarteroni, Alfio M.
15 Celledoni, Elena
15 Guo, Zhaoli
15 Krafczyk, Manfred
15 Monty, Jason P.
14 Ganapathisubramani, Bharathram
14 Owren, Brynjulf
14 Stépán, Gábor
13 Korobkin, Alexander A.
13 Peng, Cheng
13 Schöll, Eckehard
13 Smits, Alexander J.
13 Succi, Sauro
12 Cao, Qingjie
12 Escher, Joachim
12 Hwang, Yongyun
12 Liu, Fawang
12 Ma, Wen-Xiu
12 Martin, Calin-Iulian
12 Milewski, Paul A.
12 Părău, Emilian I.
12 Petersen, Ian Richard
12 Trevelyan, Jon
11 Ahmad, Bashir
11 Choi, Young-Pil
11 Donoho, David Leigh
11 Gough, John E.
11 Hall, Philip
11 Hirata, Yoshito
11 Hutter, Kolumban
11 Priest, Eric R.
11 Quispel, Gilles Reinout Willem
11 Rezapour, Shahram
11 Schlatter, Philipp
11 Thiffeault, Jean-Luc
11 Wang, Yushun
11 Wiercigroch, Marian
11 Willis, Ashley P.
11 Wu, Xinyuan
11 Xu, Jian
11 Zanella, Mattia
10 Albi, Giacomo
10 Asinari, Pietro
10 Chung, Daniel
10 Deguchi, Kengo
10 Drikakis, Dimitris
10 Hultmark, Marcus
10 Macau, Elbert E. N.
10 Matioc, Bogdan-Vasile
10 Mielke, Alexander
10 Sahoo, Trilochan
10 Tadmor, Eitan
9 Agarwal, Ravi P.
9 Band, Ram
9 Burger, Martin
9 Cherubini, Stefania
9 Dumbser, Michael
9 Geier, Martin
9 Goriely, Alain
9 Groves, Mark D.
9 Insperger, Tamás
9 Iserles, Arieh
9 Ivanov, Rossen I.
9 Kerswell, Richard Rodney
9 Labate, Demetrio
9 Lasenby, Anthony N.
9 Lin, Chao-An
9 Örlü, Ramis
9 Ruiz-Baier, Ricardo
9 Sandstede, Björn
9 Sevostianov, Igor
9 Shi, Baochang
9 Sun, Zhizhong
9 Sung, Hyung Jin
9 Tan, Changhui
9 Wahlén, Erik
9 Wang, Yongqi
9 Wang, Zhan
9 Wolfram, Marie-Therese
9 Yang, Xiaosong
8 Bailey, Sean C. C.
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Cited in 647 Journals

708 Journal of Fluid Mechanics
301 Journal of Computational Physics
185 Computers and Fluids
144 Physics of Fluids
120 Physica D
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117 Computers & Mathematics with Applications
115 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
111 Computer Methods in Applied Mechanics and Engineering
106 Journal of Computational and Applied Mathematics
90 Nonlinear Dynamics
83 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
82 Journal of Theoretical Biology
81 Applied Mathematics and Computation
79 Journal of Mathematical Physics
75 Communications in Nonlinear Science and Numerical Simulation
73 Journal of Differential Equations
62 European Journal of Mechanics. B. Fluids
61 Journal of High Energy Physics
59 Archive for Rational Mechanics and Analysis
56 Journal of Mathematical Analysis and Applications
55 Journal of the Mechanics and Physics of Solids
52 Journal of Engineering Mathematics
50 Bulletin of Mathematical Biology
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
46 Communications in Mathematical Physics
46 Applied Numerical Mathematics
46 Journal of Nonlinear Science
46 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
45 Chaos, Solitons and Fractals
44 Journal of Statistical Physics
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43 Applied Mathematical Modelling
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41 Journal of Mathematical Biology
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39 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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36 SIAM Journal on Mathematical Analysis
35 Computational Mechanics
34 Applied and Computational Harmonic Analysis
34 Nonlinear Analysis. Real World Applications
32 Acta Mechanica
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28 Physica A
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28 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
28 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
26 European Journal of Mechanics. A. Solids
26 Advances in Difference Equations
24 Physics Letters. A
23 International Journal of Solids and Structures
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23 Foundations of Physics
23 Acta Mechanica Sinica
22 Numerical Algorithms
22 Journal of Computational Neuroscience
21 Mathematics and Mechanics of Solids
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20 Mathematics and Computers in Simulation
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20 Discrete and Continuous Dynamical Systems. Series B
20 International Journal of Wavelets, Multiresolution and Information Processing
20 Computational & Mathematical Methods in Medicine
19 Meccanica
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19 Multibody System Dynamics
19 Journal of Physics A: Mathematical and Theoretical
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18 International Journal of Theoretical Physics
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18 Structural and Multidisciplinary Optimization
17 The Annals of Statistics
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16 Advances in Mathematics
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16 Quantitative Finance
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Biological Cybernetics
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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14 General Relativity and Gravitation
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