×
Author ID: holden.helge Recent zbMATH articles by "Holden, Helge"
Published as: Holden, Helge; Holden, H.
Homepage: https://www.ntnu.edu/employees/holden
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 194 Publications since 1983, including 11 Books
15 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 93 Co-Authors with 203 Joint Publications
2,956 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
54 Gesztesy, Fritz
36 Risebro, Nils Henrik
24 Karlsen, Kenneth Hvistendahl
19 Raynaud, Xavier
18 Høegh-Krohn, Raphael J.
17 Albeverio, Sergio A.
15 Piene, Ragni
13 Grunert, Katrin
13 Øksendal, Bernt Karsten
11 Teschl, Gerald
11 Ubøe, Jan
10 Lindstrøm, Tom L.
9 Coclite, Giuseppe Maria
9 Holden, Lars
9 Simon, Barry
9 Zhang, Tusheng S.
6 Lie, Knut-Andreas
5 Michor, Johanna
4 Hanche-Olsen, Harald
4 Nichols, Roger
4 Zhao, Zhongxin
3 Carrillo de la Plata, José Antonio
3 Colombo, Rinaldo M.
3 Kirsch, Werner
3 Koley, Ujjwal
3 Kolsrud, Torbjörn
3 Pang, Peter H. C.
3 Sande, Hilde
2 Behrndt, Jussi
2 Dutta, Rajib
2 Enolskiĭ, Viktor Zelikovich
2 Exner, Pavel
2 Fenstad, Jens Erik
2 Figari, Rodolfo
2 Gimse, Tore
2 Johannesen, Steinar
2 Jost, Jürgen
2 Karper, Trygve Klovning
2 Martinelli, Fabio
2 Mebkhout, Mohammed
2 Mitrovic, Darko
2 Paycha, Sylvie
2 Röckner, Michael
2 Scarlatti, Sergio
1 Babinsky, Holger
1 Boldrighini, Carlo
1 Bratvedt, Frode
1 Bratvedt, Kyrre
1 Bressan, Alberto
1 Buchholz, Christian F.
1 Bulla, W.
1 Bunimovich, Leonid Abramovich
1 Cascaval, Radu C.
1 Cellarosi, Francesco
1 Chen, Gui-Qiang G.
1 Clark, Steve
1 Cohen, Albert
1 De Lellis, Camillo
1 Deligne, Pierre René
1 Eckhardt, Jonathan
1 Ehrnström, Mats
1 Eilbeck, John Chris
1 Frank, Rupert L.
1 Frid, Hermano
1 Geronimo, Jeffrey S.
1 Gielerak, Roman
1 Gjerde, Jon
1 Gjessing, Håkon K.
1 Goldstein, Jerome Arthur
1 Grasmair, Markus
1 Gurarie, David
1 Gurevich, Boris
1 Holdahl, Runar
1 Holden, Steinar
1 Hu, Yaozhong
1 Illusie, Luc
1 Jensen, Arne
1 Khanin, Konstantin M.
1 Klaus, Martin
1 Kohn, Robert Vita
1 Kostenko, Aleksey S.
1 Latushkin, Yuri
1 Levitan, Boris Moiseevich
1 Li, Dong
1 Lubich, Christian
1 Malinnikova, Eugenia
1 Marcellini, Francesca
1 Martinsen, Torgeir With
1 Meyer, Yves F.
1 Munthe-Kaas, Hans Z.
1 Nasar, Sylvia
1 Nash, John Forbes jun.
1 Nirenberg, Louis
1 Onsager, Lars
1 Panov, Evgeniy Yu.
1 Pesin, Yakov Borisovich
1 Priuli, Fabio Simone
1 Ratkje, Signe Kjelstrup
1 Saab, Elias
1 Sadun, L.
...and 15 more Co-Authors
all top 5

Serials

9 Discrete and Continuous Dynamical Systems
8 Journal of Differential Equations
6 Communications in Partial Differential Equations
6 SIAM Journal on Mathematical Analysis
5 Mathematics of Computation
4 Communications in Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Journal of Functional Analysis
3 Reviews in Mathematical Physics
3 SIAM Journal on Applied Mathematics
3 Expositiones Mathematicae
3 Journal of Hyperbolic Differential Equations
3 Applied Mathematical Sciences
3 The Abel Prize
2 IMA Journal of Numerical Analysis
2 Journal of Computational Physics
2 Annales de l’Institut Fourier
2 BIT
2 Integral Equations and Operator Theory
2 Journal für die Reine und Angewandte Mathematik
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 IMRN. International Mathematics Research Notices
2 Journal of Physics A: Mathematical and General
2 Potential Analysis
2 Skrifter. Det Kongelige Norske Videnskabers Selskab
2 Cambridge Studies in Advanced Mathematics
2 CMS Conference Proceedings
2 Forum of Mathematics, Sigma
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Journal of Optimization Theory and Applications
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Normat
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Operator Theory
1 Advances in Applied Mathematics
1 Probability Theory and Related Fields
1 Journal of Economic Dynamics & Control
1 Surveys on Mathematics for Industry
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Electronic Journal of Differential Equations (EJDE)
1 European Mathematical Society Newsletter
1 Aerospace Science and Technology
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Computational Geosciences
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Stochastics
1 Contemporary Mathematics
1 Lecture Notes in Physics
1 Proceedings of Symposia in Pure Mathematics
1 Abel Symposia
1 Networks and Heterogeneous Media
1 International Journal of Differential Equations
1 Springer Proceedings in Mathematics & Statistics
1 Research in the Mathematical Sciences
1 World Scientific Series in 20th Century Physics
1 Universitext
1 Probability and its Applications
1 EMS Series of Lectures in Mathematics
1 EMS Series of Congress Reports
1 Texts and Monographs in Physics
1 London Mathematical Society. Newsletter
1 European Mathematical Society Magazine

Publications by Year

Citations contained in zbMATH Open

171 Publications have been cited 3,430 times in 2,421 Documents Cited by Year
Solvable models in quantum mechanics. Zbl 0679.46057
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
367
1988
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
161
2005
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
151
2007
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056
Gesztesy, Fritz; Holden, Helge
148
2003
Stochastic partial differential equations. A modeling, white noise functional approach. Zbl 0860.60045
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
131
1996
The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027
Hanche-Olsen, Harald; Holden, Helge
106
2010
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
105
2002
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
97
2009
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
93
2005
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
88
2015
A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089
Holden, Helge; Risebro, Nils Henrik
86
1995
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
72
2010
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
69
2005
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
68
2010
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
58
2008
Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049
Gesztesy, Fritz; Holden, Helge
58
2003
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
55
2006
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
46
2011
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
41
2013
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
38
2007
Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003
Coclite, G. M.; Holden, H.; Karlsen, K. H.
37
2009
Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
36
2012
Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079
Holden, Helge; Raynaud, Xavier
35
2008
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 0906.35099
Bulla, W.; Gesztesy, F.; Holden, H.; Teschl, G.
34
1998
Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065
Holden, Helge; Raynaud, Xavier
33
2006
Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge
32
2005
Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
32
1999
Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115
Holden, Helge; Raynaud, Xavier
32
2007
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
31
2010
On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\). Zbl 0546.60063
Martinelli, Fabio; Holden, Helge
30
1984
Conservation laws with a random source. Zbl 0885.35069
Holden, H.; Risebro, N. H.
29
1997
Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.
29
2000
The Burgers equation with a noisy force and the stochastic heat equation. Zbl 0804.35158
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
28
1994
Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322
Holden, Helge; Raynaud, Xavier
28
2011
A numerical method for first order nonlinear scalar conservation laws in one-dimension. Zbl 0658.65085
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael
27
1988
Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014
Holden, H.; Raynaud, X.
24
2008
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
23
2011
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
22
2008
Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
21
2013
A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030
Gesztesy, F.; Holden, H.
20
1987
Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P.
20
1988
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
20
2018
Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
19
2011
Symmetric waves are traveling waves. Zbl 1181.35230
Ehrnström, Mats; Holden, Helge; Raynaud, Xavier
18
2009
On the Riemann problem for a prototype of a mixed type conservation law. Zbl 0637.35051
Holden, Helge
17
1987
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
16
2011
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
16
2015
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
16
2007
A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049
Gesztesy, F.; Holden, H.
15
1987
Unconditionally stable splitting methods for the shallow water equations. Zbl 0945.76059
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas
15
1999
Higher order trace relations for Schrödinger operators. Zbl 0833.34084
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
15
1995
Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
14
2012
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
14
2009
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
14
2014
A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030
Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.
14
1996
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
14
2018
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
14
2019
On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076
Gesztesy, Fritz; Holden, Helge; Simon, Barry
13
1995
On trace formulas for Schrödinger-type operators. Zbl 0881.34027
Gesztesy, F.; Holden, H.
13
1997
An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia
13
2019
Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
12
2000
An unconditionally stable method for the Euler equations. Zbl 0922.76251
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik
12
1999
Riemann problems with a kink. Zbl 0926.35087
Holden, Helge; Risebro, Nils Henrik
12
1999
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
12
2015
A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150
Holden, Helge; Risebro, Nils Henrik
11
1993
On energy gaps in a new type of analytically solvable model in quantum mechanics. Zbl 0669.47002
Gesztesy, F.; Holden, H.; Kirsch, W.
11
1988
Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields. Zbl 0639.60010
Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge
10
1988
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
10
2003
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
10
2012
A stochastic approach to conservation laws. Zbl 0789.35103
Holden, H.; Risebro, N. H.
10
1991
Representation and construction of multiplicative noise. Zbl 0696.60012
Albeverio, Sergio; Holden, Helge; Høegh-Krohn, Raphael; Kolsrud, Torbjörn
10
1989
Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0728.35104
Gesztesy, F.; Holden, H.; Saab, E.; Simon, B.
9
1991
The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146
Grunert, Katrin; Holden, Helge
9
2016
FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik
8
1993
Trace formulas and conservation laws for nonlinear evolution equations. Zbl 0805.35113
Gesztesy, F.; Holden, H.
8
1994
Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047
Coclite, Giuseppe Maria; Holden, Helge
8
2005
Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Zbl 0974.35065
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
The pressure equation for fluid flow in a stochastic medium. Zbl 0834.60068
Holden, H.; Lindstrøm, T.; Øksendal, B.; Ubøe, J.; Zhang, T.-S.
8
1995
A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093
Holden, H.; Raynaud, X.
8
2008
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
8
2009
Stochastic boundary value problems: A white noise functional approach. Zbl 0792.60055
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu-Sheng
7
1993
The Wick product. Zbl 0820.60048
Gjessing, H.; Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
7
1993
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
7
2008
Point interactions in two dimensions: basic properties, approximations and applications in solid state physics. Zbl 0619.35030
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
7
1987
Darboux-type transformations and hyperelliptic curves. Zbl 1102.14301
Gesztesy, Fritz; Holden, Helge
7
2000
Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
7
2013
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
7
2016
A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge
7
2019
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166
Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu.
6
2009
On scalar conservation laws in one dimension. Zbl 0851.65064
Holden, Helge; Holden, Lars
6
1992
On coupling constant thresholds in two dimensions. Zbl 0593.35031
Holden, Helge
6
1985
On new trace formulae for Schrödinger operators. Zbl 0830.35118
Gesztesy, F.; Holden, H.
6
1995
Markov cosurfaces and gauge fields. Zbl 0541.60093
Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge
6
1984
The short range expansion. Zbl 0546.35019
Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar
6
1983
Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
6
2016
The Hunter-Saxton equation with noise. Zbl 1451.35266
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C.
6
2021
Discrete Wick calculus and stochastic functional equations. Zbl 0776.60067
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan
5
1992
Global well-posedness of the viscous Camassa-Holm equation with gradient noise. Zbl 1515.35376
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C.
2
2023
Noise-driven bifurcations in a neural field system modelling networks of grid cells. Zbl 1500.92004
Carrillo, José A.; Holden, Helge; Solem, Susanne
1
2022
Uniqueness of conservative solutions for the Hunter-Saxton equation. Zbl 1486.35005
Grunert, Katrin; Holden, Helge
1
2022
The Hunter-Saxton equation with noise. Zbl 1451.35266
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C.
6
2021
Evolutionarily stable strategies in stable and periodically fluctuating populations: the Rosenzweig-MacArthur predator-prey model. Zbl 1485.92087
Grunert, Katrin; Holden, Helge; Stenseth, Nils Chr.
2
2021
Singular diffusion with Neumann boundary conditions. Zbl 1459.35230
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik
1
2021
A Lipschitz metric for the Camassa-Holm equation. Zbl 1442.35371
Carrillo, José A.; Grunert, Katrin; Holden, Helge
1
2020
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
1
2020
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
14
2019
An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia
13
2019
A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge
7
2019
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
20
2018
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
14
2018
On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system. Zbl 1406.35277
Grasmair, Markus; Grunert, Katrin; Holden, Helge
2
2018
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. (Solutions algebro-géométriques à valeurs réelles de la hierarchie de Camassa-Holm à deux composantes.) Zbl 1383.35182
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald
5
2017
On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
1
2017
The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146
Grunert, Katrin; Holden, Helge
9
2016
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
7
2016
Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
6
2016
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
4
2016
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
3
2016
Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385-394]. Zbl 1356.46022
Hanche-Olsen, Harald; Holden, Helge
3
2016
Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
3
2016
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
88
2015
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
16
2015
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
12
2015
Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311
Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H.
4
2015
On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2
2015
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
14
2014
On an inverse problem for scalar conservation laws. Zbl 1286.35266
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik
3
2014
List of publications for Endre Szemerédi. Zbl 1317.01031
Holden, Helge; Piene, Ragni
1
2014
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
41
2013
Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
21
2013
Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
7
2013
Operator splitting for two-dimensional incompressible fluid equations. Zbl 1322.76017
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve
2
2013
Operator splitting for well-posed active scalar equations. Zbl 1282.35305
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve K.
1
2013
Optimal rebalancing of portfolios with transaction costs. Zbl 1285.91118
Holden, Helge; Holden, Lars
1
2013
Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
36
2012
Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
14
2012
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
10
2012
Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Zbl 1231.35003
1
2012
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
46
2011
Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322
Holden, Helge; Raynaud, Xavier
28
2011
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
23
2011
Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
19
2011
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
16
2011
\(L^\infty\) solutions for a model of nonisothermal polytropic gas flow. Zbl 1252.35197
Frid, Hermano; Holden, Helge; Karlsen, Kenneth H.
2
2011
The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027
Hanche-Olsen, Harald; Holden, Helge
106
2010
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
72
2010
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
68
2010
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
31
2010
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2010
Contract adjustment under uncertainty. Zbl 1202.91031
Holden, Helge; Holden, Lars; Holden, Steinar
1
2010
Ground states of the Schrödinger-Maxwell system with Dirac mass: existence and asymptotics. Zbl 1190.35189
Coclite, Giuseppe Maria; Holden, Helge
1
2010
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
97
2009
Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003
Coclite, G. M.; Holden, H.; Karlsen, K. H.
37
2009
Symmetric waves are traveling waves. Zbl 1181.35230
Ehrnström, Mats; Holden, Helge; Raynaud, Xavier
18
2009
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
14
2009
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
8
2009
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166
Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu.
6
2009
The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
4
2009
Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. Zbl 1206.35170
Holden, H.; Karlsen, K. H.; Mitrovic, D.
3
2009
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
1
2009
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
58
2008
Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079
Holden, Helge; Raynaud, Xavier
35
2008
Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014
Holden, H.; Raynaud, X.
24
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
22
2008
A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093
Holden, H.; Raynaud, X.
8
2008
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
7
2008
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald
5
2008
Global weak solutions for a shallow water equation. Zbl 1168.35415
Coclite, G. M.; Holden, H.; Karlsen, K. H.
1
2008
Erratum to: “The Schrödinger-Maxwell system with Dirac mass” [Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (5) (2007) 773-793]. Zbl 1157.35334
Coclite, G. M.; Holden, H.
1
2008
A combined experimental and numerical study of flow structures over three-dimensional shock control bumps. Zbl 1273.76262
Wong, W. S.; Qin, N.; Sellars, N.; Holden, H.; Babinsky, H.
1
2008
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
151
2007
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
38
2007
Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115
Holden, Helge; Raynaud, Xavier
32
2007
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
16
2007
The Schrödinger-Maxwell system with Dirac mass. Zbl 1132.35024
Coclite, G. M.; Holden, H.
5
2007
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2007
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
55
2006
Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065
Holden, Helge; Raynaud, Xavier
33
2006
Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Zbl 1162.37326
Gesztesy, Fritz; Holden, Helge
1
2006
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
161
2005
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
93
2005
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
69
2005
Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge
32
2005
Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047
Coclite, Giuseppe Maria; Holden, Helge
8
2005
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
5
2004
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056
Gesztesy, Fritz; Holden, Helge
148
2003
Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049
Gesztesy, Fritz; Holden, Helge
58
2003
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
10
2003
The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. Zbl 1101.14314
Eilbeck, J. C.; Enolskii, V. Z.; Holden, H.
4
2003
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
105
2002
Dubrovin equations and integrable systems on hyperelliptic curves. Zbl 1075.35068
Gesztesy, Fritz; Holden, Helge
1
2002
Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik
1
2001
Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.
29
2000
Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
12
2000
Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Zbl 0974.35065
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
...and 71 more Documents
all top 5

Cited by 2,708 Authors

65 Holden, Helge
52 Coclite, Giuseppe Maria
51 Gesztesy, Fritz
50 Risebro, Nils Henrik
46 Albeverio, Sergio A.
43 Karlsen, Kenneth Hvistendahl
41 Geng, Xianguo
31 Exner, Pavel
23 Mi, Yongsheng
23 Yin, Zhaoyang
22 Malamud, Mark M.
22 Teschl, Gerald
21 Mu, Chunlai
20 Chen, Geng
20 Liu, Yue
18 Behrndt, Jussi
18 Bürger, Raimund
18 Fan, Engui
18 Grunert, Katrin
18 Øksendal, Bernt Karsten
18 Posilicano, Andrea
17 Bressan, Alberto
17 Di Ruvo, Lorenzo
17 Geyler, Vladimir A.
17 Piccoli, Benedetto
17 Simon, Barry
16 Kostenko, Aleksey S.
16 Lai, Shaoyong
16 Ma, Wen-Xiu
16 Raynaud, Xavier
15 Herty, Michael Matthias
15 Popov, Igor’ Yur’evich
15 Qiao, Zhijun
15 Teta, Alessandro
14 Garavello, Mauro
14 Michelangeli, Alessandro
13 Colombo, Rinaldo M.
13 Eckhardt, Jonathan
13 Goatin, Paola
13 Koshmanenko, Volodymyr Dmytrovych
13 Qu, Changzheng
12 Göttlich, Simone
12 Guo, Boling
12 Mishra, Siddhartha
12 Xie, Yingchao
12 Xue, Bo
12 Yang, Chuanfu
12 Zeng, Xin
11 Høegh-Krohn, Raphael J.
11 Kurasov, Pavel B.
11 Šeba, Petr
11 Towers, John D.
11 Wei, Jiao
10 Alpay, Daniel Aron
10 Borisov, Denis Ivanovich
10 Hu, Yanbo
10 Ostermann, Alexander
10 Zhao, Peng
9 Cacciapuoti, Claudio
9 Cai, Hong
9 Carlone, Raffaele
9 He, Guoliang
9 Hu, Qiaoyi
9 Lanconelli, Alberto
9 Levajković, Tijana
9 Schratz, Katharina
9 Seleši, Dora
8 Corli, Andrea
8 Figari, Rodolfo
8 Fjordholm, Ulrik Skre
8 Hou, Yu
8 Koley, Ujjwal
8 Korotyaev, Evgeny L.
8 Liu, Zhengrong
8 Lotoreichik, Vladimir
8 Noja, Diego
8 Schwab, Christoph
8 Tang, Hao
8 Tian, Lixin
8 Ubøe, Jan
8 Wang, Yujuan
8 Wu, Lihua
8 Zhang, Hongqing
7 Chen, Gui-Qiang G.
7 Chen, Jinbing
7 Dell’Antonio, Gian Fausto
7 Ding, Danping
7 Fermi, Davide
7 Gao, Yu
7 Liu, Jianguo
7 Neidhardt, Hagen
7 Nizhnik, Leonid Pavlovich
7 Pilipović, Stevan
7 Rosini, Massimiliano Daniele
7 Rozovskii, Boris L.
7 Shen, Yannan
7 Song, Yongduan
7 Weikard, Rudi
7 Zhang, Tusheng S.
7 Zhou, Shouming
...and 2,608 more Authors
all top 5

Cited in 403 Serials

105 Journal of Differential Equations
82 Journal of Mathematical Physics
80 Journal of Mathematical Analysis and Applications
60 Journal of Functional Analysis
53 Communications in Mathematical Physics
43 Journal of Computational Physics
43 Discrete and Continuous Dynamical Systems
34 Theoretical and Mathematical Physics
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Letters in Mathematical Physics
30 Reports on Mathematical Physics
30 Applied Mathematics and Computation
30 Networks and Heterogeneous Media
29 Journal of Computational and Applied Mathematics
29 Journal of Hyperbolic Differential Equations
28 Annales Henri Poincaré
27 Journal of Nonlinear Mathematical Physics
26 Physics Letters. A
25 SIAM Journal on Mathematical Analysis
23 Physica D
22 Archive for Rational Mechanics and Analysis
22 Integral Equations and Operator Theory
22 Nonlinear Analysis. Real World Applications
21 Chaos, Solitons and Fractals
20 Journal of Statistical Physics
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Stochastic Processes and their Applications
19 Applicable Analysis
19 Mathematics of Computation
18 Mathematische Nachrichten
18 Annals of Physics
18 Abstract and Applied Analysis
18 Journal of Physics A: Mathematical and Theoretical
17 Computers & Mathematics with Applications
17 Mathematical Notes
17 Monatshefte für Mathematik
16 Reviews in Mathematical Physics
16 Journal of Geometry and Physics
16 Numerische Mathematik
16 Proceedings of the American Mathematical Society
16 SIAM Journal on Numerical Analysis
16 Communications in Partial Differential Equations
15 Journal of Scientific Computing
14 Transactions of the American Mathematical Society
14 Applied Numerical Mathematics
14 SIAM Journal on Applied Mathematics
14 Journal of Evolution Equations
14 Boundary Value Problems
13 BIT
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Acta Applicandae Mathematicae
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Annales de l’Institut Henri Poincaré. Physique Théorique
12 Potential Analysis
12 Journal of Mathematical Sciences (New York)
12 Advances in Mathematical Physics
11 Quarterly of Applied Mathematics
11 Applied Mathematics Letters
11 Journal of Dynamics and Differential Equations
11 Communications in Nonlinear Science and Numerical Simulation
11 Discrete and Continuous Dynamical Systems. Series B
11 Stochastic and Partial Differential Equations. Analysis and Computations
10 NoDEA. Nonlinear Differential Equations and Applications
10 Lobachevskii Journal of Mathematics
10 Advances in Difference Equations
10 Stochastics
10 Discrete and Continuous Dynamical Systems. Series S
9 Journal d’Analyse Mathématique
9 Nonlinearity
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Mathematical Physics, Analysis and Geometry
9 Complex Analysis and Operator Theory
8 Computer Methods in Applied Mechanics and Engineering
8 International Journal of Theoretical Physics
8 Mathematical Methods in the Applied Sciences
8 Physica A
8 Ukrainian Mathematical Journal
8 Studies in Applied Mathematics
8 SIAM Journal on Scientific Computing
8 Russian Journal of Mathematical Physics
8 Differential Equations
8 Journal of Spectral Theory
8 Journal of Function Spaces
7 Computers and Fluids
7 Journal of Engineering Mathematics
7 Advances in Mathematics
7 Annales de l’Institut Fourier
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal of Nonlinear Science
7 Doklady Mathematics
7 Journal of Mathematical Fluid Mechanics
7 Analysis and Mathematical Physics
7 Mathematical Control and Related Fields
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 The Annals of Probability
6 Journal of Approximation Theory
6 Mathematics and Computers in Simulation
6 Results in Mathematics
6 Stochastic Analysis and Applications
6 Probability Theory and Related Fields
...and 303 more Serials
all top 5

Cited in 56 Fields

1,439 Partial differential equations (35-XX)
422 Quantum theory (81-XX)
383 Operator theory (47-XX)
382 Numerical analysis (65-XX)
327 Probability theory and stochastic processes (60-XX)
305 Dynamical systems and ergodic theory (37-XX)
294 Fluid mechanics (76-XX)
277 Ordinary differential equations (34-XX)
125 Statistical mechanics, structure of matter (82-XX)
116 Functional analysis (46-XX)
111 Operations research, mathematical programming (90-XX)
56 Algebraic geometry (14-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
47 Mechanics of deformable solids (74-XX)
41 Global analysis, analysis on manifolds (58-XX)
41 Systems theory; control (93-XX)
39 Integral equations (45-XX)
38 Harmonic analysis on Euclidean spaces (42-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Biology and other natural sciences (92-XX)
25 Difference and functional equations (39-XX)
24 Mechanics of particles and systems (70-XX)
19 Real functions (26-XX)
19 Special functions (33-XX)
19 Optics, electromagnetic theory (78-XX)
17 Differential geometry (53-XX)
16 Functions of a complex variable (30-XX)
15 Statistics (62-XX)
15 Geophysics (86-XX)
14 Combinatorics (05-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
11 Approximations and expansions (41-XX)
10 Integral transforms, operational calculus (44-XX)
10 Computer science (68-XX)
9 Relativity and gravitational theory (83-XX)
8 Number theory (11-XX)
8 Measure and integration (28-XX)
8 Potential theory (31-XX)
8 Several complex variables and analytic spaces (32-XX)
5 History and biography (01-XX)
5 Nonassociative rings and algebras (17-XX)
5 General topology (54-XX)
4 Field theory and polynomials (12-XX)
4 Topological groups, Lie groups (22-XX)
4 Abstract harmonic analysis (43-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Associative rings and algebras (16-XX)
3 Manifolds and cell complexes (57-XX)
2 Commutative algebra (13-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
2 Astronomy and astrophysics (85-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.