ISSN:
 2158-2491

eISSN:
 2158-2505

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Volume 6, 2019

Volume 3, 2016

Volume 2, 2015

Volume 1, 2014

Congratulations to JCD editor Houman Owhadi for winning the 2019 Germund Dahlquist Prize for his contributions to numerical solution of differential equations and numerical methods for scientific computing.


Call for papers    Special Issue of the Journal of Computational Dynamics on "Novel computational approaches and their applications" (click to view details)

JCD, platinum OA (i.e., Open Access and no publication fees), is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes

  *  Computation of phase-space structures and bifurcations
  *  Multi-time-scale methods
  *  Structure-preserving integration
  *  Nonlinear and stochastic model reduction
  *  Set-valued numerical techniques
  *  Network and distributed dynamics


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Model reduction of controlled Fokker–Planck and Liouville–von Neumann equations
Peter Benner, Tobias Breiten, Carsten Hartmann and Burkhard Schmidt
2020, 7(1) : 1-33 doi: 10.3934/jcd.2020001 +[Abstract](662) +[HTML](332) +[PDF](1159.16KB)
Evaluating the accuracy of the dynamic mode decomposition
Hao Zhang, Scott T. M. Dawson, Clarence W. Rowley, Eric A. Deem and Louis N. Cattafesta
2020, 7(1) : 35-56 doi: 10.3934/jcd.2020002 +[Abstract](874) +[HTML](339) +[PDF](6147.66KB)
Approximation of Lyapunov functions from noisy data
Peter Giesl, Boumediene Hamzi, Martin Rasmussen and Kevin Webster
2020, 7(1) : 57-81 doi: 10.3934/jcd.2020003 +[Abstract](546) +[HTML](265) +[PDF](672.31KB)
Geometrical properties of the mean-median map
Jonathan Hoseana and Franco Vivaldi
2020, 7(1) : 83-121 doi: 10.3934/jcd.2020004 +[Abstract](500) +[HTML](245) +[PDF](643.91KB)
A functional analytic approach to validated numerics for eigenvalues of delay equations
J. P. Lessard and J. D. Mireles James
2020, 7(1) : 123-158 doi: 10.3934/jcd.2020005 +[Abstract](290) +[HTML](188) +[PDF](1911.47KB)
On the Rayleigh-Bénard-Marangoni problem: Theoretical and numerical analysis
Jhean E. Pérez-López, Diego A. Rueda-Gómez and Élder J. Villamizar-Roa
2020, 7(1) : 159-181 doi: 10.3934/jcd.2020006 +[Abstract](175) +[HTML](131) +[PDF](1879.86KB)
On dynamic mode decomposition: Theory and applications
Jonathan H. Tu, Clarence W. Rowley, Dirk M. Luchtenburg, Steven L. Brunton and J. Nathan Kutz
2014, 1(2) : 391-421 doi: 10.3934/jcd.2014.1.391 +[Abstract](12316) +[PDF](1657.5KB) Cited By(99)
A kernel-based method for data-driven koopman spectral analysis
Matthew O. Williams, Clarence W. Rowley and Ioannis G. Kevrekidis
2015, 2(2) : 247-265 doi: 10.3934/jcd.2015005 +[Abstract](4504) +[PDF](1682.6KB) Cited By(21)
Attraction-based computation of hyperbolic Lagrangian coherent structures
Daniel Karrasch, Mohammad Farazmand and George Haller
2015, 2(1) : 83-93 doi: 10.3934/jcd.2015.2.83 +[Abstract](2755) +[PDF](2835.1KB) Cited By(10)
Optimal control of multiscale systems using reduced-order models
Carsten Hartmann, Juan C. Latorre, Wei Zhang and Grigorios A. Pavliotis
2014, 1(2) : 279-306 doi: 10.3934/jcd.2014.1.279 +[Abstract](3110) +[PDF](1246.3KB) Cited By(9)
Global invariant manifolds near a Shilnikov homoclinic bifurcation
Pablo Aguirre, Bernd Krauskopf and Hinke M. Osinga
2014, 1(1) : 1-38 doi: 10.3934/jcd.2014.1.1 +[Abstract](4128) +[PDF](6559.1KB) Cited By(9)
Modularity revisited: A novel dynamics-based concept for decomposing complex networks
Marco Sarich, Natasa Djurdjevac Conrad, Sharon Bruckner, Tim O. F. Conrad and Christof Schütte
2014, 1(1) : 191-212 doi: 10.3934/jcd.2014.1.191 +[Abstract](3377) +[PDF](1083.3KB) Cited By(8)
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools
Gary Froyland, Cecilia González-Tokman and Anthony Quas
2014, 1(2) : 249-278 doi: 10.3934/jcd.2014.1.249 +[Abstract](2948) +[PDF](8600.4KB) Cited By(6)
Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model
Ferenc A. Bartha and Ábel Garab
2014, 1(2) : 213-232 doi: 10.3934/jcd.2014.1.213 +[Abstract](2938) +[PDF](916.4KB) Cited By(5)
Modularity of directed networks: Cycle decomposition approach
Nataša Djurdjevac Conrad, Ralf Banisch and Christof Schütte
2015, 2(1) : 1-24 doi: 10.3934/jcd.2015.2.1 +[Abstract](3309) +[PDF](1434.0KB) Cited By(5)
Lattice structures for attractors I
William D. Kalies, Konstantin Mischaikow and Robert C.A.M. Vandervorst
2014, 1(2) : 307-338 doi: 10.3934/jcd.2014.1.307 +[Abstract](1888) +[PDF](584.3KB) Cited By(4)
On dynamic mode decomposition: Theory and applications
Jonathan H. Tu, Clarence W. Rowley, Dirk M. Luchtenburg, Steven L. Brunton and J. Nathan Kutz
2014, 1(2) : 391-421 doi: 10.3934/jcd.2014.1.391 +[Abstract](12316) +[PDF](1657.5KB) PDF Downloads(1744)
Compressed sensing and dynamic mode decomposition
Steven L. Brunton, Joshua L. Proctor, Jonathan H. Tu and J. Nathan Kutz
2015, 2(2) : 165-191 doi: 10.3934/jcd.2015002 +[Abstract](6183) +[PDF](9556.1KB) PDF Downloads(453)
A kernel-based method for data-driven koopman spectral analysis
Matthew O. Williams, Clarence W. Rowley and Ioannis G. Kevrekidis
2015, 2(2) : 247-265 doi: 10.3934/jcd.2015005 +[Abstract](4504) +[PDF](1682.6KB) PDF Downloads(390)
On the numerical approximation of the Perron-Frobenius and Koopman operator
Stefan Klus, Péter Koltai and Christof Schütte
2016, 3(1) : 51-79 doi: 10.3934/jcd.2016003 +[Abstract](4747) +[PDF](2004.7KB) PDF Downloads(315)
Deep learning as optimal control problems: Models and numerical methods
Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren and Carola-Bibiane Schönlieb
2019, 6(2) : 171-198 doi: 10.3934/jcd.2019009 +[Abstract](2062) +[HTML](389) +[PDF](13381.36KB) PDF Downloads(241)
Optimal transport over nonlinear systems via infinitesimal generators on graphs
Karthik Elamvazhuthi and Piyush Grover
2018, 5(1&2) : 1-32 doi: 10.3934/jcd.2018001 +[Abstract](11269) +[HTML](1639) +[PDF](8429.96KB) PDF Downloads(235)
Towards a geometric variational discretization of compressible fluids: The rotating shallow water equations
Werner Bauer and François Gay-Balmaz
2019, 6(1) : 1-37 doi: 10.3934/jcd.2019001 +[Abstract](2541) +[HTML](1123) +[PDF](7364.13KB) PDF Downloads(201)
Rigorous continuation of bifurcation points in the diblock copolymer equation
Jean-Philippe Lessard, Evelyn Sander and Thomas Wanner
2017, 4(1&2) : 71-118 doi: 10.3934/jcd.2017003 +[Abstract](3758) +[HTML](1703) +[PDF](1800.09KB) PDF Downloads(172)
Kernel methods for the approximation of some key quantities of nonlinear systems
Jake Bouvrie and Boumediene Hamzi
2017, 4(1&2) : 1-19 doi: 10.3934/jcd.2017001 +[Abstract](3452) +[HTML](1967) +[PDF](440.88KB) PDF Downloads(166)
Evaluating the accuracy of the dynamic mode decomposition
Hao Zhang, Scott T. M. Dawson, Clarence W. Rowley, Eric A. Deem and Louis N. Cattafesta
2020, 7(1) : 35-56 doi: 10.3934/jcd.2020002 +[Abstract](874) +[HTML](339) +[PDF](6147.66KB) PDF Downloads(160)

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