## 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/rspahttps://www.jstor.org/journal/procmathphysengi Predecessor: Proceedings A. Royal Society of London Comments: This journal is available open access with a moving wall of 24 months.
 Documents Indexed: 1,193 Publications (since 2015) References Indexed: 899 Publications with 39,168 References.
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### Latest Issues

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### Authors

 10 Goriely, Alain 9 Movchan, Alexander B. 9 Parnell, William J. 8 Abrahams, I. David 8 Kaplunov, Julius D. 7 Holm, Darryl D. 7 Neild, Simon A. 7 Simpson, Matthew J. 6 Ammari, Habib M. 6 Destrade, Michel 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, Andrey V. 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 Bridges, Thomas J. 3 Broom, Mark 3 Cao, Jinde 3 Cavalieri, André V. G. 3 Celli, Michele 3 Champneys, Alan R. 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 Jackson, Andrew D. 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. ...and 2,358 more Authors
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### 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) 48 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) 23 Computer science (68-XX) 20 Relativity and gravitational theory (83-XX) 18 Combinatorics (05-XX) 18 Convex and discrete geometry (52-XX) 18 Systems theory; control (93-XX) 14 Differential geometry (53-XX) 13 Operations research, mathematical programming (90-XX) 12 Difference and functional equations (39-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)

### Citations contained in zbMATH Open

695 Publications have been cited 2,723 times in 2,255 Documents Cited by Year
Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397
Schaeffer, Hayden
2017
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
2017
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.
2015
The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278
Tian, Shou-Fu
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
2018
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.
2017
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.
2017
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
2018
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio
2018
Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392
Ma, Wen-Xiu
2017
Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133
Dalwadi, M. P.; Griffiths, I. M.; Bruna, M.
2015
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.
2017
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064
Giorgio, I.; Rizzi, N. L.; Turco, E.
2017
Recoverability in quantum information theory. Zbl 1371.81070
Wilde, Mark M.
2015
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.
2018
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
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
2017
Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
2017
Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393
Ma, Wen-Xiu
2017
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.
2017
Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136
Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary
2016
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
2020
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
2018
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
2016
A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064
Babaee, H.; Sapsis, T. P.
2016
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
2017
Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
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
2017
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
2017
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
2018
On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228
Li, Hongjie; Liu, Hongyu
2018
Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084
Düring, Bertram; Wolfram, Marie-Therese
2015
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226
Forest, Samuel
2016
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
2016
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
2016
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.
2017
On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047
Meng, Shixu; Guzina, Bojan B.
2018
Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047
Breunung, Thomas; Haller, George
2018
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
2018
The nonlinear Schrödinger equation with $$t$$-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
2015
Universal recovery map for approximate Markov chains. Zbl 1376.81015
Sutter, David; Fawzi, Omar; Renner, Renato
2016
Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043
El, Gennady A.; Smyth, Noel F.
2016
Numerical solution of acoustic scattering by finite perforated elastic plates. Zbl 1371.74219
Cavalieri, A. V. G.; Wolf, W. R.; Jaworski, J. W.
2016
Point vortex interactions on a toroidal surface. Zbl 1371.76046
Sakajo, Takashi; Shimizu, Yuuki
2016
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
2017
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
2017
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
2017
From the elastica compass to the elastica catapult: an essay on the mechanics of soft robot arm. Zbl 1404.74047
Armanini, C.; Dal Corso, F.; Misseroni, D.; Bigoni, D.
2017
The nonlinear Schrödinger equation with $$t$$-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
2015
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024
Das, S.; Sahoo, T.; Meylan, M. H.
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.
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.
2017
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
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.
2018
Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298
Wang, Zhan
2017
Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058
Freistühler, Heinrich; Temple, Blake
2017
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.
2015
A study of snake-like locomotion through the analysis of a flexible robot model. Zbl 1371.70027
Cicconofri, Giancarlo; DeSimone, Antonio
2015
Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261
Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos
2016
Bidispersive-inclined convection. Zbl 1371.80017
Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian
2016
Formal groups and $$Z$$-entropies. Zbl 1371.94581
Tempesta, Piergiulio
2016
Buckling of spherical shells revisited. Zbl 1371.74112
Hutchinson, John W.
2016
Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101
Muratov, Cyrill B.; Slastikov, Valeriy V.
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.
2017
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
2017
Amplifiers of selection. Zbl 1371.92093
Adlam, B.; Chatterjee, K.; Nowak, M. A.
2015
Deautonomization by singularity confinement: an algebro-geometric justification. Zbl 1371.39011
Mase, T.; Willox, R.; Grammaticos, B.; Ramani, A.
2015
Discretization of polynomial vector fields by polarization. Zbl 1372.65201
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
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.
2016
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.
2016
Submesocale currents in the ocean. Zbl 1371.86012
McWilliams, James C.
2016
High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005
Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V.
2016
Movement of a finite body in channel flow. Zbl 1371.76174
Smith, Frank T.; Johnson, Edward R.
2016
Modulations of viscous fluid conduit periodic waves. Zbl 1371.76066
Maiden, M. D.; Hoefer, M. A.
2016
Horizontally isotropic bidispersive thermal convection. Zbl 1402.80002
Straughan, B.
2018
Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Zbl 1404.39004
Fu, Wei; Nijhoff, Frank W.
2017
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
2017
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
2017
Incompatibility-governed elasto-plasticity for continua with dislocations. Zbl 1404.74022
Amstutz, Samuel; Van Goethem, Nicolas
2017
On the wave propagation in the time differential dual-phase-lag thermoelastic model. Zbl 1371.80014
Chiriţă, Stan; Ciarletta, Michele; Tibullo, Vincenzo
2015
Modelling of nonlinear wave scattering in a delaminated elastic bar. Zbl 1371.74155
Khusnutdinova, K. R.; Tranter, M. R.
2015
Liquid toroidal drop in compressional flow with arbitrary drop-to-ambient fluid viscosity ratio. Zbl 1371.76059
Zabarankin, Michael
2016
Two-scale homogenization to determine effective parameters of thin metallic-structured films. Zbl 1371.78088
Marigo, Jean-Jacques; Maurel, Agnès
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
2016
Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268
Bertola, Marco; El, Gennady A.; Tovbis, Alexander
2016
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
2019
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
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Öttinger, Hans Christian
2020
A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092
Chebakov, R.; Kaplunov, J.; Rogerson, G. A.
2017
Bayesian adaptation of chaos representations using variational inference and sampling on geodesics. Zbl 1407.62087
Tsilifis, P.; Ghanem, R. G.
2018
Unsteady solute dispersion in small blood vessels using a two-phase Casson model. Zbl 1404.76309
Rana, Jyotirmoy; Murthy, P. V. S. N.
2017
Bidispersive vertical convection. Zbl 1404.76257
Gentile, M.; Straughan, B.
2017
Effective equations governing an active poroelastic medium. Zbl 1404.74040
Collis, J.; Brown, D. L.; Hubbard, M. E.; O’Dea, R. D.
2017
The cross-over to magnetostrophic convection in planetary dynamo systems. Zbl 1404.85016
Aurnou, J. M.; King, E. M.
2017
Identifying the significance of nonlinear normal modes. Zbl 1404.70060
Hill, T. L.; Cammarano, A.; Neild, S. A.; Barton, D. A. W.
2017
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.
2017
Homogenization of composite ferromagnetic materials. Zbl 1371.82148
Alouges, François; Di Fratta, Giovanni
2015
Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros. Zbl 1371.11130
Forrester, Peter J.; Mays, Anthony
2015
Asymptotic phenomena in pressurized thin films. Zbl 1371.74204
Coman, Ciprian D.; Matthews, Miccal T.; Bassom, Andrew P.
2015
Sum-of-squares of polynomials approach to nonlinear stability of fluid flows: an example of application. Zbl 1371.76050
Huang, D.; Chernyshenko, S.; Goulart, P.; Lasagna, D.; Tutty, O.; Fuentes, F.
2015
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
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
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Öttinger, Hans Christian
2020
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
2020
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
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
2020
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
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.
2020
A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020
Patnaik, Sansit; Semperlotti, Fabio
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
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.
2020
The hidden unstable orbits of maps with gaps. Zbl 1439.37051
Jeffrey, Mike R.; Webber, Simon
2020
Integrable two-component systems of difference equations. Zbl 1439.39005
Kassotakis, Pavlos; Nieszporski, Maciej; Papageorgiou, Vassilios; Tongas, Anastasios
2020
Output-weighted optimal sampling for Bayesian regression and rare event statistics using few samples. Zbl 1439.62177
Sapsis, Themistoklis P.
2020
Green’s functions for unsymmetric composite laminates with inclusions. Zbl 1472.74048
Hsu, Chia-Wen; Hwu, Chyanbin
2020
Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Zbl 1472.78013
Dorfmann, Luis; Ogden, Ray W.
2020
Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem. Zbl 1472.81032
Palmer, T. N.
2020
Force networks, torque balance and airy stress in the planar vertex model of a confluent epithelium. Zbl 1472.92096
Jensen, Oliver E.; Johns, Emma; Woolner, Sarah
2020
The super-Stückelberg procedure and dS in pure supergravity. Zbl 1472.83109
Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne
2020
Exact conditions for preservation of the partial indices of a perturbed triangular $$2 \times 2$$ matrix function. Zbl 1472.15019
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.
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.
2020
Predicting population extinction in lattice-based birth-death-movement models. Zbl 1472.92180
Johnston, Stuart T.; Simpson, Matthew J.; Crampin, Edmund J.
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
2020
Whitham equations and phase shifts for the Korteweg-de Vries equation. Zbl 1472.35330
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor
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
2020
Fixed-time synchronization of quaternion-valued neural networks with time-varying delay. Zbl 1472.34135
Kumar, Umesh; Das, Subir; Huang, Chuangxia; Cao, Jinde
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
2020
Shape analysis via inconsistent surface registration. Zbl 1472.53108
Choi, Gary P. T.; Qiu, Di; Lui, Lok Ming
2020
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits. Zbl 1472.78017
Brandão, Rodolfo; Holley, Jacob R.; Schnitzer, Ory
2020
Magnetic winding: what is it and what is it good for? Zbl 1472.78010
Prior, Christopher; Mactaggart, David
2020
A proof of validity for multiphase Whitham modulation theory. Zbl 1472.35332
Bridges, Thomas J.; Kostianko, Anna; Schneider, Guido
2020
The relationship between viscoelasticity and elasticity. Zbl 1472.74038
Snoeijer, J. H.; Pandey, A.; Herrada, M. A.; Eggers, J.
2020
Extreme dissipation and intermittency in turbulence at very high Reynolds numbers. Zbl 1472.76048
Elsinga, Gerrit E.; Ishihara, Takashi; Hunt, Julian C. R.
2020
How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. Zbl 1439.70030
Cenedese, Mattia; Haller, George
2020
Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150
Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila
2020
Nonlinear two-point boundary value problems: applications to a cholera epidemic model. Zbl 1439.34028
Chowdhury, Atiqur; Tanveer, Saleh; Wang, Xueying
2020
Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133
Ammari, Habib; Davies, Bryn
2020
Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. Zbl 1472.34062
Makarenkov, Oleg
2020
Leader-follower consensus on activity-driven networks. Zbl 1472.91028
Hasanyan, Jalil; Zino, Lorenzo; Lombana, Daniel Alberto Burbano; Rizzo, Alessandro; Porfiri, Maurizio
2020
The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111
Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain
2020
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446
Zhang, Zhi-Yong
2020
A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras. Zbl 1472.81009
Niestegge, Gerd
2020
Steering eco-evolutionary game dynamics with manifold control. Zbl 1472.91009
Wang, Xin; Zheng, Zhiming; Fu, Feng
2020
Linear and nonlinear thermosolutal instabilities in an inclined porous layer. Zbl 1472.76095
Kumar, Gautam; Narayana, Puranam Anantha Lakshmi; Sahu, Kirti Chandra
2020
Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending. Zbl 1472.74024
Liu, Zezhou; Bouklas, Nikolaos; Hui, Chung-Yuen
2020
Beyond non-backtracking: non-cycling network centrality measures. Zbl 1472.05081
Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni
2020
Scattering on a square lattice from a crack with a damage zone. Zbl 1472.74122
2020
Two-loop n-point anomalous amplitudes in $$\mathcal{N} = 4$$ supergravity. Zbl 1472.83099
Bern, Zvi; Kosower, David; Parra-Martinez, Julio
2020
Vibrations of nonlinear elastic lattices: low- and high-frequency dynamic models, internal resonances and modes coupling. Zbl 1472.74081
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Rogerson, Graham
2020
Nonlinear stability of two-layer shallow water flows with a free surface. Zbl 1472.76026
Viríssimo, Francisco De Melo; Milewski, Paul A.
2020
A framework for second-order eigenvector centralities and clustering coefficients. Zbl 1472.65043
Arrigo, Francesca; Higham, Desmond J.; Tudisco, Francesco
2020
Using symbolic networks to analyse dynamical properties of disease outbreaks. Zbl 1472.62152
Herrera-Diestra, José L.; Buldú, Javier M.; Chavez, Mario; Martínez, Johann H.
2020
Deriving pairwise transfer entropy from network structure and motifs. Zbl 1472.94039
Novelli, Leonardo; Atay, Fatihcan M.; Jost, Jürgen; Lizier, Joseph T.
2020
Passage through exceptional point: case study. Zbl 1472.81096
Znojil, Miloslav
2020
Dielectric-induced surface wave radiation loss. Zbl 1472.78023
Schaich, Tobias; Rawi, Anas Al; Morsman, Trevor; Payne, Mike
2020
Reconstructing ecological networks with noisy dynamics. Zbl 1472.92175
Freilich, Mara A.; Rebolledo, Rolando; Corcoran, Derek; Marquet, Pablo A.
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.
2020
Heterogeneity in evolutionary games: an analysis of the risk perception. Zbl 1472.91005
Amaral, Marco A.; Javarone, Marco A.
2020
Turing and Benjamin-Feir instability mechanisms in non-autonomous systems. Zbl 1472.35221
van Gorder, Robert A.
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
2020
Architecture and evolution of semantic networks in mathematics texts. Zbl 1472.91037
Christianson, Nicolas H.; Blevins, Ann Sizemore; Bassett, Danielle S.
2020
The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids. Zbl 1472.76022
Machon, Thomas
2020
Fokas method for linear boundary value problems involving mixed spatial derivatives. Zbl 1472.35210
Batal, A.; Fokas, A. S.; Özsarı, T.
2020
Vigorous convection in porous media. Zbl 1472.76094
Hewitt, D. R.
2020
Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. Zbl 1472.35225
Kostianko, Anna
2020
Learning on dynamic statistical manifolds. Zbl 1472.62011
Boso, F.; Tartakovsky, D. M.
2020
Vaccinating behaviour guided by imitation and aspiration. Zbl 1472.91011
Arefin, Md. Rajib; Masaki, Tanaka; Tanimoto, Jun
2020
Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions. Zbl 1472.74121
Norris, Andrew N.; Parnell, William J.
2020
Dynamics of fluid displacement in mixed-wet porous media. Zbl 1472.76103
Scanziani, Alessio; Lin, Qingyang; Alhosani, Abdulla; Blunt, Martin J.; Bijeljic, Branko
2020
Knot polynomials of open and closed curves. Zbl 1472.57011
Panagiotou, Eleni; Kauffman, Louis H.
2020
Statistics of geometric clusters in Potts model: statistical mechanics approach. Zbl 1472.82014
Timonin, P. N.
2020
A one-dimensional model for elasto-capillary necking. Zbl 1472.74022
Lestringant, Claire; Audoly, Basile
2020
A fluid mechanic’s analysis of the teacup singularity. Zbl 1472.76021
Barkley, Dwight
2020
Core-periphery structure in directed networks. Zbl 1473.90024
Elliott, Andrew; Chiu, Angus; Bazzi, Marya; Reinert, Gesine; Cucuringu, Mihai
2020
Debonding waves in gel thin films. Zbl 1472.74151
Xu, Xianmin; Calderer, M. Carme; Doi, Masao; Henao, Duvan
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.
2020
Classifying financial markets up to isomorphism. Zbl 1472.91045
Armstrong, J.
2020
Maxwell tipping points: the hidden mechanics of an axially compressed cylindrical shell. Zbl 1472.74144
Hunt, G. W.; Groh, R. M. J.; Dodwell, T. J.
2020
Model reduction by mean-field homogenization in viscoelastic composites. I: Primal theory. Zbl 1472.74181
Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre
2020
Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability. Zbl 1472.74129
Brunetti, Matteo; Favata, Antonino; Vidoli, Stefano
2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010
Pelinovsky, Dmitry E.; White, Robert E.
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.
2020
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. Zbl 1472.78029
Wen, Xiao-Yong; Yan, Zhenya; Zhang, Guoqiang
2020
Stability and memory-loss go hand-in-hand: three results in dynamics and computation. Zbl 1472.37088
Manjunath, G.
2020
Superdeterministic hidden-variables models. I: Non-equilibrium and signalling. Zbl 1472.81111
Sen, Indrajit; Valentini, Antony
2020
Superdeterministic hidden-variables models. II: Conspiracy. Zbl 1472.81112
Sen, Indrajit; Valentini, Antony
2020
Analysis of node2vec random walks on networks. Zbl 1473.90053
Meng, Lingqi; Masuda, Naoki
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.
2020
Analytic and numerical solutions to the seismic wave equation in continuous media. Zbl 1472.86012
Walters, S. J.; Forbes, L. K.; Reading, A. M.
2020
Oscillatory dynamics in the dilemma of social distancing. Zbl 1472.92213
Glaubitz, Alina; Fu, Feng
2020
Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047
Ostoja-Starzewski, Martin; Laudani, Rossella
2020
High-frequency homogenization in periodic media with imperfect interfaces. Zbl 1472.74184
Assier, Raphaël C.; Touboul, Marie; Lombard, Bruno; Bellis, Cédric
2020
Heavy-tailed distributions, correlations, kurtosis and Taylor’s law of fluctuation scaling. Zbl 1472.60030
Cohen, Joel E.; Davis, Richard A.; Samorodnitsky, Gennady
2020
A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2020
A nonlinear theory of distributional geometry. Zbl 07417343
Nigsch, E. A.; Vickers, J. A.
2020
Shock wave propagation along the central retinal blood vessels. Zbl 1437.76057
Spelman, T. A.; Stewart, P. S.
2020
A variational formulation for steady surface water waves on a Beltrami flow. Zbl 1439.76014
Groves, M. D.; Horn, J.
2020
The effect of time-dilation on Bell experiments in the retrocausal Brans model. Zbl 1439.81013
Sen, Indrajit
2020
Effect of surfactant redistribution on the flow and stability of foam films. Zbl 1439.76010
Vitasari, Denny; Cox, Simon; Grassia, Paul; Rosario, Ruben
2020
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### Cited by 3,996 Authors

 24 Tian, Shoufu 20 Holm, Darryl D. 19 Ammari, Habib M. 19 Neff, Patrizio 16 Barchiesi, Emilio 15 Brunton, Steven L. 15 Placidi, Luca 15 Zhang, Tiantian 13 Geng, Xianguo 13 Wang, Xiubin 12 Kutz, J. Nathan 12 Movchan, Alexander B. 11 He, Jingsong 11 Hoefer, Mark A. 10 Liu, Hongyu 10 Madeo, Angela 10 Ratliff, Daniel J. 9 Carta, Giorgio 9 Giorgio, Ivan 9 Goriely, Alain 9 Karniadakis, George Em 9 Ma, Wen-Xiu 9 Mihalache, Dumitru 9 Rychtár, Jan 9 Saccomandi, Giuseppe 9 Smith, Frank T. 9 Straughan, Brian 9 Yavari, Arash 8 Ayton, Lorna J. 8 El, Gennady A. 8 Ghiba, Ionel-Dumitrel 8 Kaplunov, Julius D. 8 Marynets, Kateryna 8 Neves, Mario jun. 8 Nicholls, David P. 8 Simpson, Matthew J. 8 Tronci, Cesare 8 Xue, Bo 7 Babaee, Hessam 7 Cheng, Yi 7 Coman, Ciprian D. 7 d’Agostino, Marco Valerio 7 dell’Isola, Francesco 7 Grammaticos, Basil 7 Haller, George 7 Jones, Ian S. 7 Martin, Calin-Iulian 7 Muratov, Cyrill B. 7 Parnell, William J. 7 Peng, Weiqi 7 Penta, Raimondo 7 Ramani, Alfred 7 Sapsis, Themistoklis P. 7 Xiu, Dongbin 7 Yan, Zhenya 7 Zabarankin, Michael 6 Barbagallo, Gabriele 6 Cao, Jinde 6 Chu, Jifeng 6 Crisan, Dan O. 6 DeSimone, Antonio 6 Duraisamy, Karthik 6 Fečkan, Michal 6 Gray, John Mark Nicholas Timm 6 Li, Hongjie 6 Lustri, Christopher J. 6 Marigo, Jean-Jacques 6 Maurel, Agnès 6 Meylan, Michael H. 6 Mihai, L. Angela 6 Ogden, Raymond William 6 Ostoja-Starzewski, Martin 6 Pelinovsky, Dmitry Efimovich 6 Rao, Jiguang 6 Singh, Mehakpreet 6 Tempesta, Piergiulio 6 van Gorder, Robert Ashton 6 Wang, Jinrong 6 Willox, Ralph 6 Zhang, Guoqiang 5 Baddoo, Peter Jonathan 5 Bigoni, Davide 5 Chakraborty, Suman 5 Chen, Jinbing 5 Crampin, Edmund John 5 Deng, Youjun 5 Dong, Min-Jie 5 Dorfmann, Luis 5 Erban, Radek 5 Fitzpatrick, Brian 5 Forest, Samuel 5 Forrester, Peter J. 5 Freistühler, Heinrich 5 Gavrilyuk, Sergey L. 5 Gay-Balmaz, François 5 Griffiths, Ian M. 5 Hiltunen, Erik Orvehed 5 Hur, Vera Mikyoung 5 Jeffrey, Mike R. 5 Jin, Zhen ...and 3,896 more Authors
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### Cited in 306 Journals

 240 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 171 Journal of Fluid Mechanics 74 Computer Methods in Applied Mechanics and Engineering 72 Journal of Computational Physics 54 Mathematics and Mechanics of Solids 46 Physica D 44 ZAMP. Zeitschrift für angewandte Mathematik und Physik 42 International Journal of Engineering Science 41 Wave Motion 40 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 39 Journal of Mathematical Physics 35 Journal of Elasticity 35 Journal of Nonlinear Science 35 Nonlinear Dynamics 34 SIAM Journal on Applied Mathematics 33 Chaos 32 Nonlinearity 31 Acta Mechanica 26 Applied Mathematical Modelling 26 European Journal of Mechanics. A. Solids 25 Communications in Nonlinear Science and Numerical Simulation 23 Journal of the Mechanics and Physics of Solids 21 Journal of Engineering Mathematics 21 Journal of Differential Equations 20 Computational Mechanics 20 Journal of Theoretical Biology 17 SIAM Journal on Applied Dynamical Systems 16 Applied Mathematics and Computation 16 European Journal of Mechanics. B. Fluids 15 Journal of Mathematical Biology 15 Physics Letters. A 15 SIAM Journal on Mathematical Analysis 15 SIAM Journal on Scientific Computing 15 Multiscale Modeling & Simulation 14 Journal of Mathematical Analysis and Applications 14 Applied Mathematics Letters 13 Journal of High Energy Physics 13 Foundations of Physics 13 Journal of Physics A: Mathematical and Theoretical 12 Continuum Mechanics and Thermodynamics 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Archive for Rational Mechanics and Analysis 11 Journal of Statistical Physics 11 Monatshefte für Mathematik 10 Communications in Mathematical Physics 10 Meccanica 9 Computers & Mathematics with Applications 9 International Journal of Theoretical Physics 9 Bulletin of Mathematical Biology 9 Chaos, Solitons and Fractals 9 Journal of Geometry and Physics 9 Journal of Scientific Computing 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Theoretical and Mathematical Physics 8 Mathematics and Computers in Simulation 8 Engineering Analysis with Boundary Elements 8 Nonlinear Analysis. Real World Applications 7 Journal of the Franklin Institute 7 Journal of Mathematical Fluid Mechanics 7 Annales Henri Poincaré 7 Nonlinear Analysis. Modelling and Control 7 Discrete and Continuous Dynamical Systems. Series B 7 Quantum Information Processing 7 Communications in Computational Physics 7 Advances in Mathematical Physics 7 Mathematics and Mechanics of Complex Systems 6 Applicable Analysis 6 European Journal of Applied Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Computational and Applied Mathematics 6 Advances in Difference Equations 6 Journal of Statistical Mechanics: Theory and Experiment 6 SIAM Journal on Imaging Sciences 6 Analysis and Mathematical Physics 5 Geophysical and Astrophysical Fluid Dynamics 5 Letters in Mathematical Physics 5 Physica A 5 SIAM Journal on Numerical Analysis 5 Studies in Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Journal of Nonlinear Mathematical Physics 5 SIAM/ASA Journal on Uncertainty Quantification 5 Water Waves 4 Classical and Quantum Gravity 4 Computers and Fluids 4 Inverse Problems 4 Reviews in Mathematical Physics 4 Automatica 4 BIT 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Circuits, Systems, and Signal Processing 4 Computer Aided Geometric Design 4 Applied Numerical Mathematics 4 International Journal of Computer Mathematics 4 Advances in Computational Mathematics 4 Discrete and Continuous Dynamical Systems 4 Mathematical Problems in Engineering 4 Mathematical Physics, Analysis and Geometry ...and 206 more Journals
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### Cited in 60 Fields

 624 Mechanics of deformable solids (74-XX) 591 Partial differential equations (35-XX) 568 Fluid mechanics (76-XX) 276 Dynamical systems and ergodic theory (37-XX) 236 Numerical analysis (65-XX) 188 Biology and other natural sciences (92-XX) 145 Quantum theory (81-XX) 140 Statistical mechanics, structure of matter (82-XX) 117 Ordinary differential equations (34-XX) 117 Optics, electromagnetic theory (78-XX) 107 Mechanics of particles and systems (70-XX) 103 Probability theory and stochastic processes (60-XX) 101 Computer science (68-XX) 89 Geophysics (86-XX) 83 Statistics (62-XX) 51 Systems theory; control (93-XX) 48 Operator theory (47-XX) 48 Information and communication theory, circuits (94-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Differential geometry (53-XX) 41 Difference and functional equations (39-XX) 38 Classical thermodynamics, heat transfer (80-XX) 37 Relativity and gravitational theory (83-XX) 27 Real functions (26-XX) 27 Functions of a complex variable (30-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 23 Combinatorics (05-XX) 23 Integral equations (45-XX) 23 Functional analysis (46-XX) 20 Special functions (33-XX) 20 Convex and discrete geometry (52-XX) 18 Approximations and expansions (41-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Algebraic geometry (14-XX) 14 Operations research, mathematical programming (90-XX) 12 Topological groups, Lie groups (22-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 General and overarching topics; collections (00-XX) 9 Number theory (11-XX) 9 Group theory and generalizations (20-XX) 9 Potential theory (31-XX) 8 General topology (54-XX) 8 Manifolds and cell complexes (57-XX) 8 Astronomy and astrophysics (85-XX) 6 Associative rings and algebras (16-XX) 6 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 5 Integral transforms, operational calculus (44-XX) 5 Algebraic topology (55-XX) 4 Abstract harmonic analysis (43-XX) 3 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Mathematics education (97-XX)