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Fokas, Athanassios S.

Author ID: fokas.athanassios-s Recent zbMATH articles by "Fokas, Athanassios S."
Published as: Fokas, A. S.; Fokas, Athanassios S.; Fokas, Athanasios S.; Fokas, A.; Fokas, Athanasisos S.; Fokas, Athanassis S.; Fokas, Athanasis S.; Fokas, Athanassios; Fokas, Athanasios; Fokas, Thanasis
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

50 single-authored
21 Ablowitz, Mark Jay
17 Its, Alexander Rudolfovich
16 Lenells, Jonatan
16 Santini, Paolo Maria
15 Pelloni, Beatrice
12 Dassios, George
10 Gel’fand, Israil’ Moiseevich
8 Sung, Li-Yeng
7 Kalimeris, Konstantinos
7 Spence, Euan A.
5 Kitaev, Alexander V.
5 Mantzavinos, Dionyssios
5 Smitheman, S. A.
4 Ashton, Anthony C. L.
4 He, Jingsong
4 Kapaev, Andrei A.
4 Marinakis, Vangelis
4 Papageorgiou, Vassilios G.
4 Saridakis, Yiannis G.
4 Shepelsky, Dmitry
4 van der Weele, M. C.
3 Biondini, Gino
3 Boutet de Monvel, Anne Marie
3 Colbrook, Matthew J.
3 Crowdy, Darren Gregory
3 Dimakos, M.
3 Fernandez, Arran
3 Finkel, Federico
3 Himonas, A. Alexandrou
3 Kamvissis, Spyridon
3 Kastis, George A.
3 Kibble, Tom W. B.
3 Kurylëv, Yaroslav Vadimovich
3 Lagerstrom, Paco A.
3 Luo, Laihan
3 Michel, Volker
3 Mugan, Ugurhan
3 Papadopoulou, Elena P.
3 Treharne, P. A.
3 Yang, Di
3 Zegarlinski, Boguslaw
3 Zhou, Xin
2 Aifantis, Elias C.
2 Ayton, Lorna J.
2 Barouch, Eytan
2 Chatziafratis, Andreas
2 Filelis-Papadopoulos, Christos K.
2 Flyer, Natasha
2 Fuchssteiner, Benno
2 Fulton, Scott R.
2 Grigor’yan, Alexander Asaturovich
2 Grylonakis, Eleftherios-Nektarios G.
2 Hashemzadeh, Parham
2 Iserles, Arieh
2 Novokshenov, Viktor Yur’evich
2 Pelinovsky, Dmitry Efimovich
2 Pinotsis, Dimitrios A.
2 Porsezian, Kuppusamy
2 Protonotarios, Nicholas E.
2 Rao, Jiguang
2 Rogers, Colin
2 Smith, David Andrew
2 Vayenas, Constantinos G.
2 Xia, Baoqiang
2 Yortsos, Yannis C.
2 Zakharov, Vladimir Evgen’evich
2 Zyskin, M. V.
1 Álvarez Paiva, Juan Carlos
1 Antipov, Yuri A.
1 Băleanu, Dumitru I.
1 Bar Yaacov, D.
1 Batal, Ahmet
1 ben-Avraham, Daniel
1 Bona, Jerry Lloyd
1 Bressloff, Paul C.
1 Carbery, Anthony
1 Ceyhan, Özgür
1 Charalambopoulos, Antonios
1 Clarkson, Peter A.
1 Cohen, Donald Sussman
1 Coifman, Ronald Raphaël
1 Cuevas Maraver, Jesús
1 De Lillo, Silvana
1 Deconinck, Bernard
1 Dikaios, Nikolaos
1 Doering, Charles Rogers
1 Dorfman, Irina Yakovlevna
1 Dubrovin, Boris Anatol’evich
1 Engquist, Bjorn E.
1 Ghose Choudhury, Anindya
1 Gibbon, John D.
1 Glasser, M. Lawrence
1 Grammaticos, Basil
1 Gravvanis, George A.
1 Grawanis, G. A.
1 Green, Christopher C.
1 Grigoriou, Dimitrios
1 Grimshaw, Roger Hamilton James
1 Guha, Partha
1 Gürses, Metin
...and 38 more Co-Authors
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Serials

23 Journal of Mathematical Physics
20 Studies in Applied Mathematics
19 Inverse Problems
14 Nonlinearity
12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
10 Communications in Mathematical Physics
10 Physica D
7 IMA Journal of Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Letters in Mathematical Physics
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Nonlinear Science
5 Journal of Nonlinear Mathematical Physics
5 Computational Methods and Function Theory
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Fluid Mechanics
4 Physics Letters. A
4 Journal of Computational and Applied Mathematics
4 SIAM Journal on Applied Mathematics
4 Physical Review Letters
4 Journal of Physics A: Mathematical and Theoretical
3 Communications on Pure and Applied Mathematics
3 Quarterly of Applied Mathematics
3 European Journal of Applied Mathematics
3 Cambridge Texts in Applied Mathematics
2 Physica A
2 Theoretical and Mathematical Physics
2 Chaos, Solitons and Fractals
2 Mathematics and Computers in Simulation
2 Transactions of the American Mathematical Society
2 Complex Systems
2 Journal of Physics A: Mathematical and General
2 SIAM Journal on Mathematical Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Mathematical Physics, Analysis and Geometry
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Numerical Analysis
1 Mathematical Methods in the Applied Sciences
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Duke Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Bulletin of the Greek Mathematical Society
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Differential and Integral Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Nonlinear Science Today
1 Methods and Applications of Analysis
1 Advances in Differential Equations
1 Communications in Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of the Institute of Mathematics of Jussieu
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 London Mathematical Society Lecture Note Series
1 Mathematical Surveys and Monographs
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Numerical Mathematics: Theory, Methods and Applications
1 De Gruyter Series in Mathematics and Life Sciences
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings A. Royal Society of London
1 Other Titles in Applied Mathematics
1 Progress in Nonlinear Differential Equations and Their Applications
1 Transactions of Mathematics and its Applications
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Fields

230 Partial differential equations (35-XX)
90 Dynamical systems and ergodic theory (37-XX)
26 Numerical analysis (65-XX)
25 Fluid mechanics (76-XX)
25 Biology and other natural sciences (92-XX)
23 Functions of a complex variable (30-XX)
18 Ordinary differential equations (34-XX)
17 Optics, electromagnetic theory (78-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Quantum theory (81-XX)
11 General and overarching topics; collections (00-XX)
11 Integral transforms, operational calculus (44-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Integral equations (45-XX)
8 Relativity and gravitational theory (83-XX)
7 Computer science (68-XX)
6 Number theory (11-XX)
6 Difference and functional equations (39-XX)
6 Mechanics of particles and systems (70-XX)
6 Mechanics of deformable solids (74-XX)
5 Differential geometry (53-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Operator theory (47-XX)
3 Special functions (33-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Probability theory and stochastic processes (60-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

269 Publications have been cited 8,001 times in 4,447 Documents Cited by Year
Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114
Fuchssteiner, B.; Fokas, A. S.
1981
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
293
1995
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
275
2006
A unified transform method for solving linear and certain nonlinear PDEs. Zbl 0876.35102
Fokas, A. S.
271
1997
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
261
1992
Complex variables: introduction and applications. 2nd ed. Zbl 1088.30001
Ablowitz, Mark J.; Fokas, Athanassios S.
233
2003
A unified approach to boundary value problems. Zbl 1181.35002
Fokas, Athanassios S.
215
2008
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
143
2016
Integrable nonlinear evolution equations on the half-line. Zbl 1010.35089
Fokas, A. S.
143
2002
Symmetries and integrability. Zbl 0639.35075
Fokas, A. S.
138
1987
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
137
2005
Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
128
1991
On the inverse scattering transform for the Kadomtsev-Petviashvili equation. Zbl 0527.35080
Ablowitz, M. J.; Bar Yaacov, D.; Fokas, A. S.
120
1983
On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane. Zbl 0557.35110
Fokas, A. S.; Ablowitz, M. J.
101
1984
The inverse scattering transform for the Benjamin-Ono equation A pivot to multidimensional problems. Zbl 0505.76031
Fokas, A. S.; Ablowitz, M. J.
100
1983
A symmetry approach to exactly solvable evolution equations. Zbl 0455.35109
Fokas, A. S.
90
1980
On the inverse scattering of the time-dependent Schrödinger equation and the associated Kadomtsev-Petviashvili equation. Zbl 0528.35079
Fokas, A. S.; Ablowitz, M. J.
83
1983
On a unified approach to transformations and elementary solutions of Painleve equations. Zbl 0504.34022
Fokas, A. S.; Ablowitz, M. J.
82
1982
Complex variables: introduction and applications. Zbl 0885.30001
Ablowitz, Mark J.; Fokas, Athanassios S.
79
1997
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
76
2012
Dromions and a boundary value problem for the Davey-Stewartson 1 equation. Zbl 0707.35144
Fokas, A. S.; Santini, P. M.
73
1990
Nonlinear interaction of traveling waves of nonintegrable equations. Zbl 0973.35502
Fokas, A. S.; Liu, Q. M.
70
1994
Recursion operators and bi-Hamiltonian structures in multidimensions. II. Zbl 0706.35129
Fokas, A. S.; Santini, P. M.
67
1988
Recursion operators and bi-Hamiltonian structures in multidimensions. I. Zbl 0674.35074
Santini, P. M.; Fokas, A. S.
67
1988
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
67
1996
On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. Zbl 0495.58016
Fokas, A. S.; Anderson, R. L.
66
1982
From continuous to discrete Painlevé equations. Zbl 0794.34013
Fokas, A. S.; Grammaticos, B.; Ramani, A.
66
1993
On a new non-local formulation of water waves. Zbl 1098.76013
Ablowitz, M. J.; Fokas, A. S.; Musslimani, Z. H.
64
2006
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
63
2009
A new transform method for evolution partial differential equations. Zbl 1028.35009
Fokas, A. S.
62
2002
Two-dimensional linear partial differential equations in a convex polygon. Zbl 0988.35129
Fokas, A. S.
61
2001
The Korteweg-de Vries equation and beyond. Zbl 0842.58045
Fokas, A. S.
57
1995
On the integrability of linear and nonlinear partial differential equations. Zbl 0994.37036
Fokas, A. S.
56
2000
Asymptotic integrability of water waves. Zbl 0982.76511
Fokas, A. S.; Liu, Q. M.
56
1996
The mKdV equation on the half-line. Zbl 1057.35050
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
55
2004
Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192
Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong
54
2018
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
53
2004
The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
51
2017
The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs. Zbl 1092.35102
Fokas, A. S.
51
2005
Integrable nonlinear evolution partial differential equations in \(4+2\) and \(3+1\) dimensions. Zbl 1228.35199
Fokas, A. S.
51
2006
Interaction of lumps with a line soliton for the DSII equation. Zbl 0977.35132
Fokas, A. S.; Pelinovsky, D. E.; Sulem, C.
51
2001
The unique determination of neuronal currents in the brain via magnetoencephalography. Zbl 1075.92012
Fokas, A. S.; Kurylev, Y.; Marinakis, V.
50
2004
A transform method for linear evolution PDEs on a finite interval. Zbl 1084.35002
Fokas, A. S.; Pelloni, B.
50
2005
Important developments in soliton theory. Zbl 0801.00009
50
1993
The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
48
2012
On the exactly solvable equation \(S_ t = [(\beta S + \gamma)-^ 2 S_ x]_ x + \alpha(\beta S + \gamma)-^ 2 S_ x\) occurring in two-phase flow in porous media. Zbl 0488.76099
Fokas, A. S.; Yortsos, Y. C.
48
1982
On the solvability of the \(N\)-wave, Davey-Stewartson and Kadomtsev- Petviashvili equations. Zbl 0768.35069
Fokas, A. S.; Sung, L.-Y.
47
1992
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
44
1992
Integrable nonlinear evolution equations on a finite interval. Zbl 1131.37064
Boutet de Monvel, Anne; Fokas, Athanassis S.; Shepelsky, Dmitry
43
2006
Analysis of the global relation for the nonlinear Schrödinger equation on the half-line. Zbl 1055.35107
Boutet de Monvel, A.; Fokas, A. S.; Shepelsky, D.
41
2003
Bäcklund transformations for hereditary symmetries. Zbl 0491.35007
Fokas, A. S.; Fuchssteiner, B.
40
1981
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
40
2009
Forced nonlinear evolution equations and the inverse scattering transform. Zbl 0696.35135
Fokas, A. S.; Ablowitz, M. J.
38
1989
Hodograph transformations of linearizable partial differential equations. Zbl 0694.35005
Clarkson, P. A.; Fokas, A. S.; Ablowitz, M. J.
37
1989
Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva). Zbl 0864.53003
Fokas, A. S.; Gelfand, I. M.
37
1996
The Korteweg-de Vries equation on the half-line. Zbl 1335.35216
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
35
2016
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
34
1994
On the solvability of Painlevé II and IV. Zbl 0758.35058
Fokas, A. S.; Zhou, Xin
33
1992
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
33
2012
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
33
2012
Generalized conditional symmetries and exact solutions of non-integrable equations. Zbl 0850.35097
Fokas, A. S.; Liu, Q. M.
33
1994
Inverse scattering transform for the KPI equation on the background of a one-line soliton. Zbl 1033.35097
Fokas, A. S.; Pogrebkov, A. K.
30
2003
An initial-boundary value problem for the nonlinear Schrödinger equation. Zbl 0679.35076
Fokas, A. S.
30
1989
The recursion operator of the Kadomtsev-Petviashvili equation and the squared eigenfunctions of the Schrödinger operator. Zbl 0613.35073
Fokas, A. S.; Santini, P. M.
30
1986
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
29
2008
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong
29
2021
Highly oscillatory problems. Zbl 1170.37002
28
2009
Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S.
27
2018
Unified transform for boundary value problems. Applications and advances. Zbl 1311.65001
27
2015
Dynamically stretched vortices as solutions of the 3D Navier-Stokes equations. Zbl 0956.76018
Gibbon, J. D.; Fokas, A. S.; Doering, C. R.
27
1999
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
26
2010
The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055
Its, A. R.; Kitaev, A. V.; Fokas, A. S.
26
1990
A plethora of integrable bi-Hamiltonian equations. Zbl 0865.35121
Fokas, A. S.; Olver, P. J.; Rosenau, P.
26
1997
On the simplest integrable equation in \(2+1\). Zbl 0804.35124
Fokas, A. S.
26
1994
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
26
2010
Hamiltonian theory over noncommutative rings and integrability in multidimensions. Zbl 0771.58025
Dorfman, I. Ya.; Fokas, A. S.
26
1992
On the initial value problem of the second Painleve transcendent. Zbl 0524.35094
Fokas, A. S.; Ablowitz, M. J.
24
1983
An analytical method for linear elliptic PDEs and its numerical implementation. Zbl 1050.65116
Fulton, S. R.; Fokas, A. S.; Xenophontos, C. A.
24
2004
A non-local formulation of rotational water waves. Zbl 1241.76081
Ashton, A. C. L.; Fokas, A. S.
23
2011
Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Zbl 0807.35138
Fokas, A. S.; Gelfand, I. M.
23
1994
The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113
Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G.
23
2008
Quadratic and cubic invariants in classical mechanics. Zbl 0432.70027
Fokas, A. S.; Lagerstrom, P. A.
22
1980
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
22
1992
The direct linearization of a class of nonlinear evolution equations. Zbl 0557.35111
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S.
22
1984
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047
Michel, V.; Fokas, A. S.
22
2008
On the limit from the intermediate long wave equation to the Benjamin-Ono equation. Zbl 0543.45008
Santini, P. M.; Ablowitz, M. J.; Fokas, A. S.
21
1984
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
21
1992
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
21
2008
On a transform method for the Laplace equation in a polygon. Zbl 1170.37331
Fokas, A. S.; Kapaev, A. A.
21
2003
On the solvability of Painlevé I, III and V. Zbl 0754.35107
Fokas, A. S.; Mugan, Ugurhan; Zhou, Xin
21
1992
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
21
2018
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
20
2011
A method of linearization for Painlevé equations: Painlevé IV, V. Zbl 0649.34006
Fokas, A. S.; Mugan, U.; Ablowitz, M. J.
20
1988
Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386
Dassios, G.; Fokas, A. S.
19
2009
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
18
2015
Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035
Fokas, A. S.; Nachbin, A.
18
2012
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
17
2013
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
17
2015
Explicit integral solutions for the plane elastostatic semi-strip. Zbl 1067.74022
Crowdy, D. G.; Fokas, A. S.
17
2004
Boundary value problems for Boussinesq type systems. Zbl 1070.35030
Fokas, A. S.; Pelloni, B.
17
2005
On Barenblatt’s pseudoparabolic equation with forcing on the half-line via the Fokas method. Zbl 07851236
Chatziafratis, Andreas; Fokas, Athanassios S.; Aifantis, Elias C.
1
2024
On the asymptotics to all orders of the Riemann zeta function and of a two-parameter generalization of the Riemann zeta function. Zbl 1498.11005
Fokas, Athanassios S.; Lenells, Jonatan
2
2022
Time-periodic linear boundary value problems on a finite interval. Zbl 1498.35074
Fokas, A. S.; Pelloni, B.; Smith, D. A.
1
2022
An extension of integrable equations. Zbl 1502.35075
Fokas, A. S.
1
2022
Extensions of the d’Alembert formulae to the half line and the finite interval obtained via the unified transform. Zbl 1509.35153
Fokas, A. S.; Kalimeris, K.
1
2022
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong
29
2021
The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325
Deconinck, B.; Fokas, A. S.; Lenells, J.
4
2021
The unified transform for evolution equations on the half-line with time-periodic boundary conditions. Zbl 1484.35054
Fokas, A. S.; van der Weele, M. C.
3
2021
Fokas method for linear boundary value problems involving mixed spatial derivatives. Zbl 1472.35210
Batal, A.; Fokas, A. S.; Özsarı, T.
8
2020
Electro-magnetoencephalography for a spherical multiple-shell model: novel integral operators with singular-value decompositions. Zbl 1470.92173
Leweke, S.; Michel, V.; Fokas, A. S.
3
2020
Electroencephalography and magnetoencephalography. An analytical-numerical approach. Zbl 1454.92019
Dassios, George; Fokas, Athanassios S.
2
2020
A quantitative framework for exploring exit strategies from the COVID-19 lockdown. Zbl 1495.92082
Fokas, A. S.; Cuevas-Maraver, J.; Kevrekidis, P. G.
2
2020
Explicit asymptotics for certain single and double exponential sums. Zbl 1437.11120
Kalimeris, K.; Fokas, A. S.
2
2020
The unified transform for mixed boundary condition problems in unbounded domains. Zbl 1472.74115
Colbrook, Matthew J.; Ayton, Lorna J.; Fokas, Athanassios S.
9
2019
Helmholtz decomposition of the neuronal current for the ellipsoidal head model. Zbl 1405.92134
Hashemzadeh, Parham; Fokas, Athanassios S.
3
2019
Evolution equations on time-dependent intervals. Zbl 1428.35090
Fokas, Athanasios S.; Pelloni, Beatrice; Xia, Baoqiang
3
2019
An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform. Zbl 1506.65244
Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A.; Fokas, A. S.
1
2019
An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform. Zbl 1449.65333
Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Grawanis, G. A.; Fokas, A. S.
1
2019
A novel approach to the Lindelöf hypothesis. Zbl 1490.11085
Fokas, A. S.
1
2019
A new approach for the inversion of the attenuated Radon transform. Zbl 1444.92060
Protonotarios, Nicholas E.; Kastis, George A.; Fokas, Athanassios S.
1
2019
Rogue waves of the nonlocal Davey-Stewartson I equation. Zbl 1398.35192
Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong
54
2018
Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S.
27
2018
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
21
2018
Complexification and integrability in multidimensions. Zbl 1406.35329
Fokas, A. S.; van der Weele, M. C.
10
2018
Asymptotics to all orders of the Hurwitz zeta function. Zbl 1444.11186
Fernandez, Arran; Fokas, Athanassios S.
3
2018
Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons. Zbl 1380.65351
Colbrook, Matthew J.; Fokas, Athanasisos S.
3
2018
Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line. Zbl 1395.35073
Fokas, Athanassios S.; Wang, Zipeng
2
2018
The nonlinear Schrödinger equation on the half-line. Zbl 1351.35182
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
51
2017
Water waves with moving boundaries. Zbl 1419.76084
Fokas, Athanasios S.; Kalimeris, Konstantinos
2
2017
Linear elliptic PDEs in a cylindrical domain with a polygonal cross-section. Zbl 1377.35065
Hitzazis, I.; Fokas, A. S.
2
2017
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
143
2016
The Korteweg-de Vries equation on the half-line. Zbl 1335.35216
Fokas, Athanassios S.; Himonas, A. Alexandrou; Mantzavinos, Dionyssios
35
2016
Evolution PDEs and augmented eigenfunctions. Finite interval. Zbl 1375.35283
Fokas, A. S.; Smith, D. A.
9
2016
A novel non-local formulation of water waves. Zbl 1360.76050
Fokas, Athanassios S.; Kalimeris, Konstantinos
4
2016
On the structure, masses and thermodynamics of the W\({}^\pm\) bosons. Zbl 1400.83001
Vayenas, C. G.; Fokas, A. S.; Grigoriou, D.
2
2016
On the structure, mass and thermodynamics of the Z\({}^o\) bosons. Zbl 1400.81204
Fokas, A. S.; Vayenas, C. G.
1
2016
Preface: Mark J. Ablowitz, Nonlinear waves and integrable systems. I. Zbl 1347.35005
1
2016
Unified transform for boundary value problems. Applications and advances. Zbl 1311.65001
27
2015
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
18
2015
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
17
2015
A numerical technique for linear elliptic partial differential equations in polygonal domains. Zbl 1372.65315
Hashemzadeh, P.; Fokas, A. S.; Smitheman, S. A.
14
2015
The unified transform for the heat equation. II. Non-separable boundary conditions in two dimensions. Zbl 1387.35322
Mantzavinos, D.; Fokas, A. S.
7
2015
Elliptic equations with low regularity boundary data via the unified method. Zbl 1318.35014
Ashton, A. C. L.; Fokas, A. S.
6
2015
Evolution problems: nonlinear. Zbl 1346.65045
Biondini, G.; Fokas, A. S.; Shepelsky, D.
3
2015
The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061
Fokas, A. S.; Iserles, A.; Smitheman, S. A.
3
2015
The Poisson and the biharmonic equations in the interior of a convex polygon. Zbl 1318.35005
Dimakos, M.; Fokas, A. S.
2
2015
Linearisable nonlinear partial differential equations in multidimensions. Zbl 1310.35014
Dimakos, M.; Fokas, A. S.
2
2015
Mathematical methods in PET and SPECT imaging. 2nd edition. Zbl 1395.94031
Fokas, Athanasios S.; Kastis, George A.
2
2015
The unified transform for the modified Helmholtz equation in the exterior of a square. Zbl 1347.65183
Fokas, A. S.; Lenells, J.
2
2015
Eigenvalues for the Laplace operator in the interior of an equilateral triangle. Zbl 1323.35108
Fokas, A. S.; Kalimeris, K.
6
2014
Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. Zbl 1420.35357
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S.
17
2013
Davey-Stewartson type equations in \(4+2\) and \(3+1\) possessing soliton solutions. Zbl 1290.35199
Dimakos, M.; Fokas, A. S.
14
2013
Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. Zbl 1267.35094
Fokas, A. S.; Lenells, J.; Pelloni, B.
12
2013
The definite non-uniqueness results for deterministic EEG and MEG data. Zbl 1272.92033
Dassios, George; Fokas, A. S.
10
2013
The unified method for the heat equation. I: Non-separable boundary conditions and non-local constraints in one dimension. Zbl 1293.35131
Mantzavinos, Dionyssios; Fokas, Athanassios S.
9
2013
The modified Korteweg-de Vries equation on the half-line with a sine-wave as Dirichlet datum. Zbl 1420.37067
Hwang, Guenbo; Fokas, A. S.
8
2013
The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions. Zbl 1371.35029
Fokas, A. S.; Glasser, M. L.
1
2013
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
76
2012
The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
48
2012
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
33
2012
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
33
2012
Water waves over a variable bottom: a non-local formulation and conformal mappings. Zbl 1250.76035
Fokas, A. S.; Nachbin, A.
18
2012
The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation. Zbl 1241.35069
Fokas, A. S.; Pelloni, B.
17
2012
Electro-magneto-encephalography for the three-shell model: numerical implementation via splines for distributed current in spherical geometry. Zbl 1243.78030
Fokas, A. S.; Hauk, O.; Michel, V.
13
2012
Generalized Dirichlet-to-Neumann map in time-dependent domains. Zbl 1250.35156
Fokas, A. S.; Pelloni, B.
7
2012
Electro-magneto-encephalography for the three-shell model: minimal \(L^2\)-norm in spherical geometry. Zbl 1243.78040
Fokas, A. S.; Kurylev, Y.
7
2012
Electro-magneto-encephalography for the three-shell model : a single dipole in ellipsoidal geometry. Zbl 1250.92022
Dassios, G.; Fokas, A. S.
5
2012
Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs. Zbl 1331.70049
Guha, Partha; Ghose Choudhury, A.; Fokas, A. S.
2
2012
On a novel class of integrable ODEs related to the Painlevé equations. Zbl 1258.34176
Fokas, Athanassios S.; Yang, Di
2
2012
A non-local formulation of rotational water waves. Zbl 1241.76081
Ashton, A. C. L.; Fokas, A. S.
23
2011
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
20
2011
Conformal mappings to multiply connected polycircular arc domains. Zbl 1243.30008
Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.
13
2011
The Kadomtsev-Petviashvili II equation on the half-plane. Zbl 1216.35121
Mantzavinos, D.; Fokas, A. S.
8
2011
Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle. Zbl 1216.35136
Fokas, Athanasios S.; Himonas, A. Alexandrou
7
2011
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
26
2010
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
26
2010
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
12
2010
The heat equation in the interior of an equilateral triangle. Zbl 1189.35045
Kalimeris, K.; Fokas, A. S.
11
2010
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
11
2010
On a novel integrable generalization of the sine-Gordon equation. Zbl 1309.35138
Lenells, J.; Fokas, A. S.
9
2010
Laplace’s equation in the exterior of a convex polygon. The equilateral triangle. Zbl 1214.35013
Charalambopoulos, A.; Dassios, G.; Fokas, A. S.
1
2010
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
63
2009
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
40
2009
Highly oscillatory problems. Zbl 1170.37002
28
2009
Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry. Zbl 1169.35386
Dassios, G.; Fokas, A. S.
19
2009
The Davey-Stewartson equation on the half-plane. Zbl 1172.35075
Fokas, A. S.
17
2009
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
14
2009
Lax pairs: a novel type of separability. Zbl 1198.35220
Fokas, A. S.
7
2009
Kadomtsev-Petviashvili equation revisited and integrability in \(4 + 2\) and \(3 + 1\). Zbl 1172.35478
Fokas, A. S.
6
2009
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
4
2009
Electro-magneto-encephalography and fundamental solutions. Zbl 1189.35325
Dassios, G.; Fokas, A. S.
3
2009
On two useful identities in the theory of ellipsoidal harmonics. Zbl 1180.35183
Dassios, G.; Fokas, A. S.
2
2009
A novel method of solution for the fluid-loaded plate. Zbl 1195.35285
Ashton, A. C. L.; Fokas, A. S.
1
2009
A unified approach to boundary value problems. Zbl 1181.35002
Fokas, Athanassios S.
215
2008
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
29
2008
The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. Zbl 1152.65113
Sifalakis, A. G.; Fokas, A. S.; Fulton, S. R.; Saridakis, Y. G.
23
2008
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods. Zbl 1168.35047
Michel, V.; Fokas, A. S.
22
2008
Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations. Zbl 1230.30026
Bona, J. L.; Fokas, A. S.
21
2008
The generalized Dirichlet to Neumann map for the KdV equation on the half-line. Zbl 1187.35225
Treharne, P. A.; Fokas, A. S.
13
2008
Soliton multidimensional equations and integrable evolutions preserving Laplace’s equation. Zbl 1217.35160
Fokas, A. S.
7
2008
...and 169 more Documents
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Cited by 3,744 Authors

132 Fokas, Athanassios S.
87 Yin, Zhaoyang
70 Ma, Wen-Xiu
57 Qu, Changzheng
55 He, Jingsong
55 Qiao, Zhijun
54 Liu, Yue
50 Fan, Engui
48 Lenells, Jonatan
43 Its, Alexander Rudolfovich
42 Geng, Xianguo
41 Guo, Boling
40 Tian, Shoufu
36 Ablowitz, Mark Jay
34 Himonas, A. Alexandrou
33 Grammaticos, Basil
32 Clarkson, Peter A.
32 Ramani, Alfred
29 Kuijlaars, Arno B. J.
29 Zhou, Shouming
28 Cheng, Yi
27 Klein, Christian
26 Xu, Shuaixia
25 Bertola, Marco
25 Li, Jibin
25 Rao, Jiguang
24 Kaikina, Elena Igorevna
24 Mantzavinos, Dionyssios
24 Mu, Chunlai
24 Zhao, Yuqiu
23 Deconinck, Bernard
23 Lou, Senyue
23 Santini, Paolo Maria
23 Zhang, Dajun
22 Chen, Yong
22 Fu, Ying
22 Gürses, Metin
21 Crowdy, Darren Gregory
21 Fuchssteiner, Benno
21 Mi, Yongsheng
21 Pelloni, Beatrice
21 Rogers, Colin
21 Xu, Jian
20 Constantin, Adrian
20 Deift, Percy A.
20 Mihalache, Dumitru
20 Pempinelli, Flora
20 Shepelsky, Dmitry
20 Xia, Tie-Cheng
19 Dassios, George
19 Grava, Tamara
19 Tian, Lixin
18 Boiti, Marco
18 Claeys, Tom
18 Hu, Beibei
18 Li, Jinlu
18 Zhu, Min
17 Biondini, Gino
17 Joshi, Nalini
17 Miller, Peter D.
17 Trogdon, Thomas
16 Dai, Dan
16 Guha, Partha
16 Lakshmanan, Muthusamy
16 Prykarpatsky, Anatoliy Karolevych
16 Wang, Xiubin
16 Wong, Roderick Sue-Chuen
16 Zhang, Yufeng
15 Carillo, Sandra
15 Deaño, Alfredo
15 Li, Yongsheng
15 Nijhoff, Frank W.
15 Tian, Bo
14 Boutet de Monvel, Anne Marie
14 Chen, Yang
14 Gordoa, Pilar Ruiz
14 Hone, Andrew N. W.
14 Liu, Nan
14 Liu, Xingxing
14 Moon, Byungsoo
14 Sahadevan, Ramajayam
14 Wang, Jingping
14 Yan, Wei
14 Yan, Zhenya
14 Yang, Shaojie
14 Zhu, Weipeng
13 Feng, Baofeng
13 Hayashi, Nakao
13 Hwang, Guenbo
13 Konopelchenko, Boris Georgievich
13 Lisovyy, Oleg
13 Pickering, Andrew
13 Pogrebkov, Andrei K.
13 Tamizhmani, K. M.
13 Wang, Haiquan
13 Xia, Baoqiang
13 Yattselev, Maxim L.
13 Yu, Yanghai
13 Zhang, Ling
12 Anco, Stephen C.
...and 3,644 more Authors
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Cited in 396 Serials

396 Journal of Mathematical Physics
172 Studies in Applied Mathematics
165 Physica D
150 Journal of Differential Equations
144 Physics Letters. A
139 Journal of Mathematical Analysis and Applications
121 Journal of Nonlinear Mathematical Physics
108 Communications in Mathematical Physics
91 Theoretical and Mathematical Physics
88 Applied Mathematics Letters
67 Chaos, Solitons and Fractals
64 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
63 Communications in Nonlinear Science and Numerical Simulation
61 Journal of Physics A: Mathematical and Theoretical
60 Nonlinear Dynamics
55 Letters in Mathematical Physics
55 Mathematical Methods in the Applied Sciences
54 Applicable Analysis
54 Discrete and Continuous Dynamical Systems
51 Nonlinearity
47 Journal of Computational and Applied Mathematics
46 Journal of Geometry and Physics
45 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
44 Applied Mathematics and Computation
44 Communications in Theoretical Physics
41 Journal of Fluid Mechanics
41 Journal of Nonlinear Science
39 Journal of Approximation Theory
39 Monatshefte für Mathematik
37 Nonlinear Analysis. Real World Applications
33 Wave Motion
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
32 Constructive Approximation
29 Journal of Functional Analysis
28 Computers & Mathematics with Applications
28 Advances in Mathematics
26 Communications on Pure and Applied Mathematics
25 Reports on Mathematical Physics
25 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
25 Advances in Mathematical Physics
24 Acta Applicandae Mathematicae
24 Applied Numerical Mathematics
23 Journal of Computational Physics
23 Quarterly of Applied Mathematics
23 SIAM Journal on Mathematical Analysis
21 Physica A
20 Inverse Problems
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 Mathematical Physics, Analysis and Geometry
20 Analysis and Mathematical Physics
18 International Journal of Modern Physics B
18 Proceedings of the American Mathematical Society
18 Journal of Evolution Equations
17 Nuclear Physics. B
17 Transactions of the American Mathematical Society
17 Journal of Mathematical Sciences (New York)
17 Journal of Mathematical Fluid Mechanics
17 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
16 Random Matrices: Theory and Applications
15 Journal of Statistical Physics
15 Duke Mathematical Journal
15 Computational Methods and Function Theory
15 Advances in Difference Equations
14 Mathematics and Computers in Simulation
14 Communications in Partial Differential Equations
14 Communications on Pure and Applied Analysis
14 Analysis and Applications (Singapore)
14 Boundary Value Problems
13 Functional Analysis and its Applications
13 European Journal of Applied Mathematics
12 Ukrainian Mathematical Journal
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Acta Mathematicae Applicatae Sinica. English Series
12 SIAM Journal on Applied Mathematics
12 Chaos
12 Waves in Random and Complex Media
12 Complex Variables and Elliptic Equations
12 Chinese Journal of Physics (Taipei)
11 Abstract and Applied Analysis
11 European Journal of Mechanics. B. Fluids
10 Mathematische Nachrichten
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Journal of Dynamics and Differential Equations
10 Mathematical Problems in Engineering
10 Journal of High Energy Physics
10 Discrete and Continuous Dynamical Systems. Series B
9 Archive for Rational Mechanics and Analysis
9 International Journal of Theoretical Physics
9 Numerische Mathematik
9 Chinese Annals of Mathematics. Series B
9 Annals of Physics
9 East Asian Journal on Applied Mathematics
8 Annales de l’Institut Fourier
8 SIAM Journal on Scientific Computing
8 Advances in Computational Mathematics
8 Integral Transforms and Special Functions
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Discrete and Continuous Dynamical Systems. Series S
8 Science China. Mathematics
7 Journal of Engineering Mathematics
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Cited in 61 Fields

3,097 Partial differential equations (35-XX)
1,516 Dynamical systems and ergodic theory (37-XX)
528 Fluid mechanics (76-XX)
468 Ordinary differential equations (34-XX)
332 Numerical analysis (65-XX)
270 Special functions (33-XX)
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160 Probability theory and stochastic processes (60-XX)
152 Optics, electromagnetic theory (78-XX)
131 Harmonic analysis on Euclidean spaces (42-XX)
130 Approximations and expansions (41-XX)
129 Difference and functional equations (39-XX)
126 Global analysis, analysis on manifolds (58-XX)
120 Statistical mechanics, structure of matter (82-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
99 Differential geometry (53-XX)
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