×

Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Short Title: Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci.
Publisher: Royal Society Publishing, London
ISSN: 1364-5021; 1471-2946/e
Online: https://royalsocietypublishing.org/loi/rspa
https://www.jstor.org/journal/procmathphysengi
Predecessor: Proceedings A. Royal Society of London
Comments: Journal; This journal is available open access with a moving wall of 24 months.
Documents Indexed: 1,192 Publications (since 2015)
References Indexed: 898 Publications with 39,138 References.
all top 5

Authors

10 Goriely, Alain
9 Movchan, Alexander B.
9 Parnell, William J.
8 Abrahams, I. David
8 Kaplunov, Julius D.
7 Holm, Darryl Dallas
7 Neild, Simon A.
7 Simpson, Matthew J.
6 Ammari, Habib
6 Destrade, Michel
6 Kuznetsov, Andrey V.
6 Straughan, Brian
5 Ali, Sk Zeeshan
5 Brunton, Steven L.
5 Crampin, Edmund John
5 Dey, Subhasish
5 Fokas, Athanassios S.
5 Hill, Thomas L.
5 Jones, Ian S.
5 Kutz, J. Nathan
5 Kuznetsov, Ivan A.
5 Ogden, Raymond William
5 Porporato, Amilcare
5 Rogerson, Graham A.
5 Tronci, Cesare
4 Audoly, Basile
4 Bigoni, Davide
4 Bruno, Oscar P.
4 Carta, Giorgio
4 Chiribella, Giulio
4 Craster, Richard V.
4 Crowdy, Darren Gregory
4 Daly, Keith R.
4 Dorfmann, Luis
4 Fowler, Andrew C.
4 Fu, Yibin
4 Haberman, Michael R.
4 Haller, George
4 Hui, Chung-Yuen
4 Kent, Adrian
4 Maurel, Agnès
4 Mihai, L. Angela
4 Milton, Graeme Walter
4 Mishuris, Gennady S.
4 Neff, Patrizio
4 Paulino, Glaucio H.
4 Purohit, Prashant K.
4 Roose, Tiina
4 Rothman, Daniel H.
4 Shearer, Tom
4 Vella, Dominic
4 Yan, Zhenya
4 Zabarankin, Michael
4 Zhang, Guoqiang
3 Argatov, Ivan I.
3 Assier, Raphaël C.
3 Athanassoulis, Gerassimos A.
3 Ayton, Lorna J.
3 Bagarello, Fabio
3 Barbagallo, Gabriele
3 Barletta, Antonio
3 Broom, Mark
3 Cao, Jinde
3 Cavalieri, André V. G.
3 Celli, Michele
3 Champneys, Alan R.
3 Chen, Lin
3 Chen, Yichao
3 Choi, Gary Pui-Tung
3 Clanet, Christophe
3 Cohen, Yossi
3 Colbrook, Matthew J.
3 d’Agostino, Marco Valerio
3 El, Gennady A.
3 Evangelista, Luiz Roberto
3 Gawthrop, Peter J.
3 Ghorbaniasl, Ghader
3 Gower, Artur L.
3 Groh, Rainer M. J.
3 Guzina, Bojan B.
3 Hewitt, Ian J.
3 Holmes, Douglas P.
3 Jeffrey, Mike R.
3 Joshi, Nalini
3 Joy, Soumitra Roy
3 Kaminski Lenzi, Ervin
3 Kurths, Jürgen
3 Leimkuhler, Benedict J.
3 Liu, Zezhou
3 Madeo, Angela
3 Mahadevan, Lakshminarayanan
3 Mantelli, Elisa
3 Masuda, Naoki
3 Mazumder, Pinaki
3 McCue, Scott William
3 Mercier, Jean-François
3 Misseroni, Diego
3 Moulton, Derek E.
3 Muhlestein, Michael B.
3 Muratov, Cyrill B.
...and 2,389 more Authors
all top 5

Fields

307 Mechanics of deformable solids (74-XX)
265 Fluid mechanics (76-XX)
140 Partial differential equations (35-XX)
130 Statistical mechanics, structure of matter (82-XX)
116 Biology and other natural sciences (92-XX)
90 Optics, electromagnetic theory (78-XX)
90 Quantum theory (81-XX)
71 Geophysics (86-XX)
60 Dynamical systems and ergodic theory (37-XX)
58 Mechanics of particles and systems (70-XX)
48 Statistics (62-XX)
47 Numerical analysis (65-XX)
43 Ordinary differential equations (34-XX)
38 Probability theory and stochastic processes (60-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Information and communication theory, circuits (94-XX)
28 Classical thermodynamics, heat transfer (80-XX)
22 Computer science (68-XX)
20 Relativity and gravitational theory (83-XX)
18 Convex and discrete geometry (52-XX)
18 Systems theory; control (93-XX)
17 Combinatorics (05-XX)
14 Differential geometry (53-XX)
13 Difference and functional equations (39-XX)
13 Operations research, mathematical programming (90-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Special functions (33-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Astronomy and astrophysics (85-XX)
9 Functions of a complex variable (30-XX)
8 History and biography (01-XX)
8 Algebraic geometry (14-XX)
7 Integral equations (45-XX)
6 Number theory (11-XX)
6 Real functions (26-XX)
5 Nonassociative rings and algebras (17-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
1 Sequences, series, summability (40-XX)

Publications by Year

Citations contained in zbMATH Open

917 Publications have been cited 5,507 times in 4,556 Documents Cited by Year
Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397
Schaeffer, Hayden
98
2017
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
84
2020
The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278
Tian, Shou-Fu
66
2016
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks. Zbl 1402.92030
Vlachas, Pantelis R.; Byeon, Wonmin; Wan, Zhong Y.; Sapsis, Themistoklis P.; Koumoutsakos, Petros
60
2018
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
58
2017
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175
Kaiser, E.; Kutz, J. N.; Brunton, S. L.
56
2018
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
54
2020
The postulations á la d’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Zbl 1371.82032
dell’Isola, F.; Seppecher, P.; Della Corte, A.
52
2015
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
51
2018
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252
Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E.
50
2017
Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308
Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L.
47
2017
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064
Giorgio, I.; Rizzi, N. L.; Turco, E.
45
2017
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
40
2020
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
39
2020
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio
38
2018
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
37
2018
Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392
Ma, Wen-Xiu
35
2017
Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
32
2017
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101
Cotter, C. J.; Gottwald, G. A.; Holm, D. D.
32
2017
Recoverability in quantum information theory. Zbl 1371.81070
Wilde, Mark M.
31
2015
Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393
Ma, Wen-Xiu
30
2017
Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136
Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary
28
2016
Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. Zbl 1402.35070
Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai
28
2018
A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. Zbl 1402.76065
Gouasmi, Ayoub; Parish, Eric J.; Duraisamy, Karthik
28
2017
Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects. Zbl 1404.35398
Zhang, Jian-Hui; Wang, Lei; Liu, Chong
28
2017
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018
Mihai, L. Angela; Goriely, Alain
28
2017
Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. Zbl 1404.92013
Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E.
28
2017
Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398
El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J.
27
2019
Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare
27
2019
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
27
2020
Well-posed continuum equations for granular flow with compressibility and \(\mu(I)\)-rheology. Zbl 1404.76278
Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T.
26
2017
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226
Forest, Samuel
25
2016
Submesocale currents in the ocean. Zbl 1371.86012
McWilliams, James C.
25
2016
Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Zbl 1404.39004
Fu, Wei; Nijhoff, Frank W.
24
2017
Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133
Dalwadi, M. P.; Griffiths, I. M.; Bruna, M.
24
2015
A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064
Babaee, H.; Sapsis, T. P.
24
2016
On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228
Li, Hongjie; Liu, Hongyu
23
2018
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
22
2016
Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
22
2017
Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084
Düring, Bertram; Wolfram, Marie-Therese
21
2015
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020
Zhang, Guoqiang; Yan, Zhenya; Wang, Li
21
2019
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
21
2020
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024
Das, S.; Sahoo, T.; Meylan, M. H.
20
2018
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
20
2017
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
20
2019
Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach. Zbl 1472.92196
Arefin, Md. Rajib; Masaki, Tanaka; Kabir, K. M. Ariful; Tanimoto, Jun
20
2019
Quantum speedup of Monte Carlo methods. Zbl 1371.82053
Montanaro, Ashley
19
2015
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027
Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A.
19
2017
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
19
2017
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio
19
2016
Universal recovery map for approximate Markov chains. Zbl 1376.81015
Sutter, David; Fawzi, Omar; Renner, Renato
18
2016
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375
Zhang, Guoqiang; Yan, Zhenya
18
2018
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
18
2017
Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261
Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos
18
2016
Modelling and analysing the coexistence of dual dilemmas in the proactive vaccination game and retroactive treatment game in epidemic viral dynamics. Zbl 1472.92222
Kabir, K. M. Ariful; Tanimoto, Jun
18
2019
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
18
2020
Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
17
2017
Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058
Freistühler, Heinrich; Temple, Blake
17
2017
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
16
2015
A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area. Zbl 1371.53062
Dallaston, Michael C.; McCue, Scott W.
16
2016
Point vortex interactions on a toroidal surface. Zbl 1371.76046
Sakajo, Takashi; Shimizu, Yuuki
16
2016
Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101
Muratov, Cyrill B.; Slastikov, Valeriy V.
16
2017
Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047
Breunung, Thomas; Haller, George
16
2018
Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010
Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.
16
2018
Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space. Zbl 1371.78330
Bruno, Oscar P.; Shipman, Stephen P.; Turc, Catalin; Venakides, Stephanos
16
2016
A fully coupled subwavelength resonance approach to filtering auditory signals. Zbl 1472.94022
Ammari, Habib; Davies, Bryn
16
2019
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
16
2020
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
15
2015
Bidispersive-inclined convection. Zbl 1371.80017
Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian
15
2016
On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047
Meng, Shixu; Guzina, Bojan B.
15
2018
Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders – including Wood anomalies. Zbl 1404.78024
Bruno, Oscar P.; Fernandez-Lado, Agustin G.
15
2017
Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268
Bertola, Marco; El, Gennady A.; Tovbis, Alexander
15
2016
Control of chaotic systems by deep reinforcement learning. Zbl 1472.68171
Bucci, M. A.; Semeraro, O.; Allauzen, A.; Wisniewski, G.; Cordier, L.; Mathelin, L.
15
2019
Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043
El, Gennady A.; Smyth, Noel F.
14
2016
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
14
2016
Bayesian adaptation of chaos representations using variational inference and sampling on geodesics. Zbl 1407.62087
Tsilifis, P.; Ghanem, R. G.
14
2018
Quantum machine learning: a classical perspective. Zbl 1402.68154
Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide; Pontil, Massimiliano; Rocchetto, Andrea; Severini, Simone; Wossnig, Leonard
14
2018
Bidispersive vertical convection. Zbl 1404.76257
Gentile, M.; Straughan, B.
14
2017
Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates. Zbl 1402.76165
Sun, Wen-Rong; Wang, Lei
14
2018
Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078
Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J.
14
2017
On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction. Zbl 1404.74065
Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G.
14
2017
Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298
Wang, Zhan
14
2017
Whitham modulation theory for the Kadomtsev-Petviashvili equation. Zbl 1404.35382
Ablowitz, Mark J.; Biondini, Gino; Wang, Qiao
14
2017
Discretization of polynomial vector fields by polarization. Zbl 1372.65201
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
14
2015
Formal groups and \(Z\)-entropies. Zbl 1371.94581
Tempesta, Piergiulio
14
2016
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
14
2016
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241
Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John
14
2020
The mathematics of asymptotic stability in the Kuramoto model. Zbl 1425.35206
Dietert, Helge; Fernandez, Bastien
14
2018
Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process. Zbl 1371.92098
Pattni, Karan; Broom, Mark; Rychtář, Jan; Silvers, Lara J.
13
2015
On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio
13
2017
History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability. Zbl 1404.35458
Klika, Václav; Gaffney, Eamonn A.
13
2017
Windowed Green function method for the Helmholtz equation in the presence of multiply layered media. Zbl 1402.78011
Bruno, O. P.; Pérez-Arancibia, C.
13
2017
Density of convex intersections and applications. Zbl 1402.49012
Hintermüller, M.; Rautenberg, C. N.; Rösel, S.
13
2017
Homogenization of composite ferromagnetic materials. Zbl 1371.82148
Alouges, François; Di Fratta, Giovanni
13
2015
Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025
Chebakov, R.; Kaplunov, J.; Rogerson, G. A.
13
2016
A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020
Patnaik, Sansit; Semperlotti, Fabio
13
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
13
2020
Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L.
13
2019
Amplifiers of selection. Zbl 1371.92093
Adlam, B.; Chatterjee, K.; Nowak, M. A.
12
2015
On well-posedness of variational models of charged drops. Zbl 1371.76163
Muratov, Cyrill B.; Novaga, Matteo
12
2016
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
84
2020
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
54
2020
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
40
2020
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
39
2020
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
27
2020
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
21
2020
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
18
2020
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
16
2020
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241
Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John
14
2020
A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020
Patnaik, Sansit; Semperlotti, Fabio
13
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
13
2020
The super-Stückelberg procedure and dS in pure supergravity. Zbl 1472.83109
Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne
12
2020
Steering eco-evolutionary game dynamics with manifold control. Zbl 1472.91009
Wang, Xin; Zheng, Zhiming; Fu, Feng
12
2020
Vigorous convection in porous media. Zbl 1472.76094
Hewitt, D. R.
12
2020
Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149
Bressloff, P. C.
12
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Öttinger, Hans Christian
12
2020
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446
Zhang, Zhi-Yong
11
2020
Non-relativistic limits and three-dimensional coadjoint Poincaré gravity. Zbl 1472.83067
Bergshoeff, Eric; Gomis, Joaquim; Salgado-Rebolledo, Patricio
11
2020
Learning partial differential equations for biological transport models from noisy spatio-temporal data. Zbl 1439.35493
Lagergren, John H.; Nardini, John T.; Lavigne, G. Michael; Rutter, Erica M.; Flores, Kevin B.
11
2020
Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133
Ammari, Habib; Davies, Bryn
11
2020
A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179
Giraldo-Londoño, Oliver; Paulino, Glaucio H.
10
2020
A new class of mass dimension one fermions. Zbl 1472.81305
Ahluwalia, Dharam Vir
10
2020
Exponential stability in Mindlin’s form II gradient thermoelasticity with microtemperatures of type III. Zbl 1472.74006
Aouadi, M.; Passarella, F.; Tibullo, V.
10
2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010
Pelinovsky, Dmitry E.; White, Robert E.
10
2020
Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174
Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J.
9
2020
Shallow neural networks for fluid flow reconstruction with limited sensors. Zbl 1472.68172
Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan
9
2020
Fixed-time synchronization of quaternion-valued neural networks with time-varying delay. Zbl 1472.34135
Kumar, Umesh; Das, Subir; Huang, Chuangxia; Cao, Jinde
9
2020
Shape analysis via inconsistent surface registration. Zbl 1472.53108
Choi, Gary P. T.; Qiu, Di; Lui, Lok Ming
9
2020
Heterogeneity in evolutionary games: an analysis of the risk perception. Zbl 1472.91005
Amaral, Marco A.; Javarone, Marco A.
8
2020
Bayesian differential programming for robust systems identification under uncertainty. Zbl 1472.68166
Yang, Yibo; Bhouri, Mohamed Aziz; Perdikaris, Paris
8
2020
From a discrete model of chemotaxis with volume-filling to a generalized Patlak-Keller-Segel model. Zbl 1472.92062
Bubba, Federica; Lorenzi, Tommaso; Macfarlane, Fiona R.
7
2020
A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Zbl 1472.74026
Yu, Xiang; Fu, Yibin; Dai, Hui-Hui
7
2020
Turing and Benjamin-Feir instability mechanisms in non-autonomous systems. Zbl 1472.35221
van Gorder, Robert A.
7
2020
The relationship between viscoelasticity and elasticity. Zbl 1472.74038
Snoeijer, J. H.; Pandey, A.; Herrada, M. A.; Eggers, J.
7
2020
Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Zbl 1472.92174
Fadai, Nabil T.; Johnston, Stuart T.; Simpson, Matthew J.
7
2020
How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. Zbl 1439.70030
Cenedese, Mattia; Haller, George
7
2020
Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150
Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila
7
2020
Output-weighted optimal sampling for Bayesian regression and rare event statistics using few samples. Zbl 1439.62177
Sapsis, Themistoklis P.
7
2020
A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials. Zbl 1472.74114
Nobili, A.; Radi, E.; Signorini, C.
6
2020
A framework for second-order eigenvector centralities and clustering coefficients. Zbl 1472.65043
Arrigo, Francesca; Higham, Desmond J.; Tudisco, Francesco
6
2020
On explicit Wiener-Hopf factorization of \(2 \times 2\) matrices in a vicinity of a given matrix. Zbl 1472.15020
Ephremidze, L.; Spitkovsky, I.
6
2020
A proof of validity for multiphase Whitham modulation theory. Zbl 1472.35332
Bridges, Thomas J.; Kostianko, Anna; Schneider, Guido
6
2020
Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. Zbl 1472.34062
Makarenkov, Oleg
6
2020
Beyond non-backtracking: non-cycling network centrality measures. Zbl 1472.05081
Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni
6
2020
Scattering on a square lattice from a crack with a damage zone. Zbl 1472.74122
Sharma, Basant Lal; Mishuris, Gennady
6
2020
An interacting conformal chiral 2-form electrodynamics in six dimensions. Zbl 1472.81196
Townsend, Paul K.
6
2020
Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. Zbl 1472.35225
Kostianko, Anna
6
2020
Influence of temperature on Turing pattern formation. Zbl 1472.35410
van Gorder, Robert A.
6
2020
Improved phase-field models of melting and dissolution in multi-component flows. Zbl 1472.76105
Hester, Eric W.; Couston, Louis-Alexandre; Favier, Benjamin; Burns, Keaton J.; Vasil, Geoffrey M.
6
2020
Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047
Ostoja-Starzewski, Martin; Laudani, Rossella
6
2020
Heavy-tailed distributions, correlations, kurtosis and Taylor’s law of fluctuation scaling. Zbl 1472.60030
Cohen, Joel E.; Davis, Richard A.; Samorodnitsky, Gennady
6
2020
The hidden unstable orbits of maps with gaps. Zbl 1439.37051
Jeffrey, Mike R.; Webber, Simon
6
2020
Integrable two-component systems of difference equations. Zbl 1439.39005
Kassotakis, Pavlos; Nieszporski, Maciej; Papageorgiou, Vassilios; Tongas, Anastasios
6
2020
Coriolis effect on thermal convection in a rotating bidispersive porous layer. Zbl 1472.76090
Capone, F.; De Luca, R.; Gentile, M.
5
2020
Direct linearization approach to discrete integrable systems associated with \(\mathbb{Z}_\mathcal{N}\) graded Lax pairs. Zbl 1472.37080
Fu, Wei
5
2020
Exact conditions for preservation of the partial indices of a perturbed triangular \(2 \times 2\) matrix function. Zbl 1472.15019
Adukov, Victor M.; Mishuris, Gennady; Rogosin, Sergei V.
5
2020
Magnetic winding: what is it and what is it good for? Zbl 1472.78010
Prior, Christopher; Mactaggart, David
5
2020
Green’s functions for unsymmetric composite laminates with inclusions. Zbl 1472.74048
Hsu, Chia-Wen; Hwu, Chyanbin
5
2020
Two-loop n-point anomalous amplitudes in \(\mathcal{N} = 4\) supergravity. Zbl 1472.83099
Bern, Zvi; Kosower, David; Parra-Martinez, Julio
5
2020
Wave scattering on lattice structures involving an array of cracks. Zbl 1472.74120
Maurya, Gaurav; Sharma, Basant Lal
5
2020
Polarization whorls from M87* at the event horizon telescope. Zbl 1472.83057
Lupsasca, Alexandru; Kapec, Daniel; Shi, Yichen; Gates, Delilah E. A.; Strominger, Andrew
5
2020
Fokas method for linear boundary value problems involving mixed spatial derivatives. Zbl 1472.35210
Batal, A.; Fokas, A. S.; Özsarı, T.
5
2020
Vaccinating behaviour guided by imitation and aspiration. Zbl 1472.91011
Arefin, Md. Rajib; Masaki, Tanaka; Tanimoto, Jun
5
2020
Knot polynomials of open and closed curves. Zbl 1472.57011
Panagiotou, Eleni; Kauffman, Louis H.
5
2020
Whitham equations and phase shifts for the Korteweg-de Vries equation. Zbl 1472.35330
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor
5
2020
A transformation between stationary point vortex equilibria. Zbl 1473.76013
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
5
2020
Functional difference equations and eigenfunctions of a Schrödinger operator with \(\delta' -\) interaction on a circular conical surface. Zbl 1472.35105
Lyalinov, Mikhail A.
5
2020
High endemic levels of typhoid fever in rural areas of Ghana may stem from optimal voluntary vaccination behaviour. Zbl 1472.92192
Acosta-Alonzo, Carmen B.; Erovenko, Igor V.; Lancaster, Aaleah; Oh, Hyunju; Rychtář, Jan; Taylor, Dewey
5
2020
The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution. Zbl 1472.60023
Feng, Minyu; Deng, Liang-Jian; Chen, Feng; Perc, Matjaž; Kurths, Jürgen
4
2020
Model reduction by mean-field homogenization in viscoelastic composites. I: Primal theory. Zbl 1472.74181
Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre
4
2020
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits. Zbl 1472.78017
Brandão, Rodolfo; Holley, Jacob R.; Schnitzer, Ory
4
2020
A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras. Zbl 1472.81009
Niestegge, Gerd
4
2020
Learning on dynamic statistical manifolds. Zbl 1472.62011
Boso, F.; Tartakovsky, D. M.
4
2020
A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics. Zbl 1472.74117
Colbrook, Matthew J.; Kisil, Anastasia V.
4
2020
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization. Zbl 1472.35219
Bramburger, Jason J.; Goluskin, David
4
2020
Stability and memory-loss go hand-in-hand: three results in dynamics and computation. Zbl 1472.37088
Manjunath, G.
4
2020
On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections. Zbl 1472.76130
Rogers, C.; Ruggeri, T.; Schief, W. K.
4
2020
Extreme dissipation and intermittency in turbulence at very high Reynolds numbers. Zbl 1472.76048
Elsinga, Gerrit E.; Ishihara, Takashi; Hunt, Julian C. R.
4
2020
Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem. Zbl 1472.81032
Palmer, T. N.
3
2020
Stochastic modelling in fluid dynamics: Itô versus Stratonovich. Zbl 1472.76045
Holm, Darryl D.
3
2020
On effective criterion of stability of partial indices for matrix polynomials. Zbl 1472.15028
Adukova, N. V.; Adukov, V. M.
3
2020
On the Wiener-Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate. Zbl 1472.76019
Smith, M. J. A.; Peter, M. A.; Abrahams, I. D.; Meylan, M. H.
3
2020
Model reduction by mean-field homogenization in viscoelastic composites. II: Application to rigidly reinforced solids. Zbl 1472.74182
Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre
3
2020
Network comparison and the within-ensemble graph distance. Zbl 1472.05138
Hartle, Harrison; Klein, Brennan; McCabe, Stefan; Daniels, Alexander; St-Onge, Guillaume; Murphy, Charles; Hébert-Dufresne, Laurent
3
2020
Small deformation theory for two leaky dielectric drops in a uniform electric field. Zbl 1472.78016
Zabarankin, Michael
3
2020
Second-order PDEs in four dimensions with half-flat conformal structure. Zbl 1472.35160
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V.
3
2020
Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Zbl 1472.78013
Dorfmann, Luis; Ogden, Ray W.
3
2020
Linear and nonlinear thermosolutal instabilities in an inclined porous layer. Zbl 1472.76095
Kumar, Gautam; Narayana, Puranam Anantha Lakshmi; Sahu, Kirti Chandra
3
2020
Passage through exceptional point: case study. Zbl 1472.81096
Znojil, Miloslav
3
2020
Predicting population extinction in lattice-based birth-death-movement models. Zbl 1472.92180
Johnston, Stuart T.; Simpson, Matthew J.; Crampin, Edmund J.
3
2020
The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids. Zbl 1472.76022
Machon, Thomas
3
2020
Collective vibrations of a hydrodynamic active lattice. Zbl 1472.76069
Thomson, S. J.; Durey, M.; Rosales, R. R.
3
2020
Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario. Zbl 1472.81040
Jafarzadeh, M.; Jahromi, H. Rangani; Amniat-Talab, M.
3
2020
Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions. Zbl 1472.74121
Norris, Andrew N.; Parnell, William J.
3
2020
On the consistency of a class of R-symmetry gauged 6D \(N = (1,0)\) supergravities. Zbl 1472.83110
Pang, Yi; Sezgin, Ergin
3
2020
Core-periphery structure in directed networks. Zbl 1473.90024
Elliott, Andrew; Chiu, Angus; Bazzi, Marya; Reinert, Gesine; Cucuringu, Mihai
3
2020
Exact solutions of the harmonic oscillator plus non-polynomial interaction. Zbl 1472.81072
Dong, Qian; Hernández, H. Iván García; Sun, Guo-Hua; Toutounji, Mohamad; Dong, Shi-Hai
3
2020
Magic state distillation with the ternary Golay code. Zbl 1472.81060
Prakash, Shiroman
3
2020
Axisymmetric bending analysis of functionally graded one-dimensional hexagonal piezoelectric quasi-crystal circular plate. Zbl 1472.74137
Li, Yang; Li, Yuan; Qin, Qinghua; Yang, Lianzhi; Zhang, Liangliang; Gao, Yang
3
2020
The convective instability of a Maxwell-Cattaneo fluid in the presence of a vertical magnetic field. Zbl 1472.76125
Eltayeb, I. A.; Hughes, D. W.; Proctor, M. R. E.
3
2020
...and 817 more Documents
all top 5

Cited by 7,772 Authors

48 Tian, Shoufu
33 Ammari, Habib
26 Barchiesi, Emilio
26 Holm, Darryl Dallas
26 Neff, Patrizio
23 Geng, Xianguo
23 Zhang, Tiantian
22 Wang, Xiubin
20 Karniadakis, George Em
20 Simpson, Matthew J.
19 He, Jingsong
19 Liu, Hongyu
19 Placidi, Luca
18 Brunton, Steven L.
17 Kaplunov, Julius D.
17 Turco, Emilio
15 Giorgio, Ivan
15 Ma, Wen-Xiu
14 dell’Isola, Francesco
14 Goriely, Alain
14 Hoefer, Mark A.
14 Kutz, J. Nathan
14 Madeo, Angela
14 Rychtár, Jan
14 Tronci, Cesare
14 Yang, Jinjie
14 Yavari, Arash
13 Hiltunen, Erik Orvehed
13 Mihalache, Dumitru
13 Movchan, Alexander B.
13 Saccomandi, Giuseppe
12 Di Fratta, Giovanni
12 Straughan, Brian
12 Yan, Zhenya
11 Babaee, Hessam
11 Cao, Jinde
11 Carta, Giorgio
11 Chen, Yong
11 Jentzen, Arnulf
11 Meylan, Michael H.
11 Neves, Mario jun.
11 Sapsis, Themistoklis P.
11 Singh, Mehakpreet
11 Tian, Bo
11 Xue, Bo
10 d’Agostino, Marco Valerio
10 Davies, Bryn
10 de León Rodríguez, Manuel
10 Gay-Balmaz, François
10 Ghiba, Ionel-Dumitrel
10 Grammaticos, Basil
10 Haller, George
10 Li, Zhiqiang
10 McCue, Scott William
10 Mihai, L. Angela
10 Muratov, Cyrill B.
10 Penta, Raimondo
10 Ramani, Alfred
10 Ratliff, Daniel J.
10 Wang, Lei
10 Xiu, Dongbin
10 Zhang, Guoqiang
9 Abali, Bilen Emek
9 Aouadi, Moncef
9 Bagarello, Fabio
9 El-Nabulsi, Rami Ahmad
9 El, Gennady A.
9 Fečkan, Michal
9 Hutzenthaler, Martin
9 Krause, Andrew L.
9 Martin, Calin-Iulian
9 Nobili, Andrea
9 Ostoja-Starzewski, Martin
9 Pelinovsky, Dmitry Efimovich
9 Peng, Weiqi
9 Prikazchikov, Danila A.
9 Rao, Jiguang
9 Sahoo, Trilochan
9 Slastikov, Valeriy V.
9 Smith, Frank T.
9 Tanimoto, Jun
9 Taylor, Dewey T.
9 Voigt, Axel
9 Wang, Jinrong
9 Willox, Ralph
9 Yu, SangHyeon
9 Zou, Li
8 Ayton, Lorna J.
8 Bueno Rogerio, Rodolfo José
8 Cheng, Yi
8 Coman, Ciprian D.
8 Constantin, Adrian
8 Crowdy, Darren Gregory
8 Deng, Youjun
8 Dyachenko, Sergey A.
8 Erbaş, Bariş
8 Forrester, Peter J.
8 Guzina, Bojan B.
8 Jones, Ian S.
8 Li, Hongjie
...and 7,672 more Authors
all top 5

Cited in 452 Journals

305 Journal of Fluid Mechanics
264 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
160 Journal of Computational Physics
143 Computer Methods in Applied Mechanics and Engineering
122 Journal of Physics A: Mathematical and Theoretical
113 Physica D
111 Journal of High Energy Physics
95 Mathematics and Mechanics of Solids
74 Wave Motion
73 ZAMP. Zeitschrift für angewandte Mathematik und Physik
72 International Journal of Engineering Science
66 Journal of Elasticity
65 Journal of Mathematical Physics
65 Journal of Nonlinear Science
61 Nonlinear Dynamics
58 Applied Mathematical Modelling
58 Communications in Nonlinear Science and Numerical Simulation
57 European Journal of Mechanics. A. Solids
56 Acta Mechanica
56 SIAM Journal on Applied Mathematics
52 Nonlinearity
51 Applied Mathematics and Computation
42 Chaos, Solitons and Fractals
42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
41 Physics Letters. A
40 Quantum Information Processing
39 Chaos
38 SIAM Journal on Applied Dynamical Systems
38 Journal of Theoretical Biology
37 SIAM Journal on Scientific Computing
34 Journal of Differential Equations
33 Meccanica
32 Applied Mathematics Letters
29 Computational Mechanics
29 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
28 Multiscale Modeling & Simulation
27 Journal of the Mechanics and Physics of Solids
27 Bulletin of Mathematical Biology
27 European Journal of Mechanics. B. Fluids
26 Journal of Engineering Mathematics
26 Journal of Mathematical Biology
25 Journal of Mathematical Analysis and Applications
25 SIAM Journal on Mathematical Analysis
24 Continuum Mechanics and Thermodynamics
23 Studies in Applied Mathematics
23 Foundations of Physics
22 Communications in Mathematical Physics
22 Physica A
20 Computers & Mathematics with Applications
20 Journal of Scientific Computing
18 Journal of Statistical Physics
17 Archive for Rational Mechanics and Analysis
17 Geophysical and Astrophysical Fluid Dynamics
17 International Journal for Numerical Methods in Engineering
17 Monatshefte für Mathematik
16 Mathematical Methods in the Applied Sciences
16 Journal of Computational and Applied Mathematics
15 Theoretical and Mathematical Physics
15 Mathematics and Computers in Simulation
15 European Journal of Applied Mathematics
15 Discrete and Continuous Dynamical Systems. Series B
15 Journal of Statistical Mechanics: Theory and Experiment
15 Waves in Random and Complex Media
14 Classical and Quantum Gravity
14 Journal of Geometry and Physics
14 Computational and Applied Mathematics
14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Annales Henri Poincaré
13 Nonlinear Analysis. Real World Applications
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 SIAM Journal on Imaging Sciences
13 Communications in Theoretical Physics
13 AMM. Applied Mathematics and Mechanics. (English Edition)
12 International Journal of Theoretical Physics
12 Mathematical Biosciences and Engineering
11 Computer Physics Communications
11 Letters in Mathematical Physics
11 Engineering Analysis with Boundary Elements
11 Journal of Mathematical Fluid Mechanics
10 Computers and Fluids
10 Mathematical Biosciences
10 Physics Reports
10 Neural Networks
10 Annals of Physics
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Journal of Nonlinear Mathematical Physics
10 Communications in Computational Physics
10 Mathematics and Mechanics of Complex Systems
10 SIAM/ASA Journal on Uncertainty Quantification
9 Applicable Analysis
9 Inverse Problems
9 Journal of the Franklin Institute
9 Automatica
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Communications on Pure and Applied Analysis
9 Advances in Mathematical Physics
8 SIAM Journal on Numerical Analysis
8 Applied Numerical Mathematics
8 International Journal of Approximate Reasoning
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
...and 352 more Journals
all top 5

Cited in 62 Fields

1,224 Partial differential equations (35-XX)
1,080 Mechanics of deformable solids (74-XX)
1,024 Fluid mechanics (76-XX)
563 Numerical analysis (65-XX)
514 Dynamical systems and ergodic theory (37-XX)
438 Quantum theory (81-XX)
390 Biology and other natural sciences (92-XX)
287 Computer science (68-XX)
250 Statistical mechanics, structure of matter (82-XX)
225 Probability theory and stochastic processes (60-XX)
220 Ordinary differential equations (34-XX)
202 Mechanics of particles and systems (70-XX)
188 Statistics (62-XX)
188 Optics, electromagnetic theory (78-XX)
173 Geophysics (86-XX)
147 Relativity and gravitational theory (83-XX)
122 Systems theory; control (93-XX)
121 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Differential geometry (53-XX)
99 Operator theory (47-XX)
89 Calculus of variations and optimal control; optimization (49-XX)
80 Information and communication theory, circuits (94-XX)
78 Classical thermodynamics, heat transfer (80-XX)
77 Difference and functional equations (39-XX)
73 Real functions (26-XX)
60 Linear and multilinear algebra; matrix theory (15-XX)
57 Functions of a complex variable (30-XX)
52 Combinatorics (05-XX)
52 Integral equations (45-XX)
49 Functional analysis (46-XX)
46 Algebraic geometry (14-XX)
46 Global analysis, analysis on manifolds (58-XX)
45 Operations research, mathematical programming (90-XX)
44 Special functions (33-XX)
43 Approximations and expansions (41-XX)
38 Convex and discrete geometry (52-XX)
26 Number theory (11-XX)
26 Topological groups, Lie groups (22-XX)
25 General and overarching topics; collections (00-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
20 Nonassociative rings and algebras (17-XX)
19 Potential theory (31-XX)
19 Astronomy and astrophysics (85-XX)
18 Manifolds and cell complexes (57-XX)
14 Group theory and generalizations (20-XX)
14 Measure and integration (28-XX)
14 Several complex variables and analytic spaces (32-XX)
13 History and biography (01-XX)
13 Associative rings and algebras (16-XX)
13 General topology (54-XX)
10 Integral transforms, operational calculus (44-XX)
10 Algebraic topology (55-XX)
8 Mathematical logic and foundations (03-XX)
7 Geometry (51-XX)
6 Category theory; homological algebra (18-XX)
5 Commutative algebra (13-XX)
5 Abstract harmonic analysis (43-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Sequences, series, summability (40-XX)
1 Field theory and polynomials (12-XX)
1 Mathematics education (97-XX)

Citations by Year