ISSN:
 2158-2491

eISSN:
 2158-2505

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Volume 7, 2020

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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Novel computational approaches and their applications
Bernd Krauskopf and Carlo R. Laing
2020, 7(2) : ⅰ-ⅰ doi: 10.3934/jcd.2020007 +[Abstract](166) +[HTML](78) +[PDF](77.34KB)
Solving the inverse problem for an ordinary differential equation using conjugation
Daniel G. Alfaro Vigo, Amaury C. Álvarez, Grigori Chapiro, Galina C. García and Carlos G. Moreira
2020, 7(2) : 183-208 doi: 10.3934/jcd.2020008 +[Abstract](212) +[HTML](57) +[PDF](722.55KB)
An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling
Mustaffa Alfatlawi and Vaibhav Srivastava
2020, 7(2) : 209-241 doi: 10.3934/jcd.2020009 +[Abstract](171) +[HTML](60) +[PDF](4606.91KB)
Continuous approximation of $ M_t/M_t/ 1 $ distributions with application to production
Dieter Armbruster, Simone Göttlich and Stephan Knapp
2020, 7(2) : 243-269 doi: 10.3934/jcd.2020010 +[Abstract](121) +[HTML](48) +[PDF](2172.4KB)
Numerical investigation of a neural field model including dendritic processing
Daniele Avitabile, Stephen Coombes and Pedro M. Lima
2020, 7(2) : 271-290 doi: 10.3934/jcd.2020011 +[Abstract](131) +[HTML](60) +[PDF](2671.46KB)
An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier–Stokes–Cahn–Hilliard equations
Vladislav Balashov and Alexander Zlotnik
2020, 7(2) : 291-312 doi: 10.3934/jcd.2020012 +[Abstract](123) +[HTML](50) +[PDF](5646.28KB)
Uncertainty in finite-time Lyapunov exponent computations
Sanjeeva Balasuriya
2020, 7(2) : 313-337 doi: 10.3934/jcd.2020013 +[Abstract](174) +[HTML](61) +[PDF](2929.21KB)
On the development of symmetry-preserving finite element schemes for ordinary differential equations
Alex Bihlo, James Jackaman and Francis Valiquette
2020, 7(2) : 339-368 doi: 10.3934/jcd.2020014 +[Abstract](159) +[HTML](46) +[PDF](619.12KB)
A tale of two vortices: How numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems
Chantelle Blachut and Cecilia González-Tokman
2020, 7(2) : 369-399 doi: 10.3934/jcd.2020015 +[Abstract](153) +[HTML](59) +[PDF](6099.9KB)
Degree assortativity in networks of spiking neurons
Christian Bläsche, Shawn Means and Carlo R. Laing
2020, 7(2) : 401-423 doi: 10.3934/jcd.2020016 +[Abstract](133) +[HTML](62) +[PDF](1078.9KB)
Computer-assisted estimates for Birkhoff normal forms
Chiara Caracciolo and Ugo Locatelli
2020, 7(2) : 425-460 doi: 10.3934/jcd.2020017 +[Abstract](175) +[HTML](58) +[PDF](643.35KB)
A numerical renormalization method for quasi–conservative periodic attractors
Corrado Falcolini and Laura Tedeschini-Lalli
2020, 7(2) : 461-468 doi: 10.3934/jcd.2020018 +[Abstract](132) +[HTML](74) +[PDF](966.48KB)
Time-resolved denoising using model order reduction, dynamic mode decomposition, and kalman filter and smoother
Mojtaba F. Fathi, Ahmadreza Baghaie, Ali Bakhshinejad, Raphael H. Sacho and Roshan M. D'Souza
2020, 7(2) : 469-487 doi: 10.3934/jcd.2020019 +[Abstract](163) +[HTML](61) +[PDF](669.04KB)
Computing connecting orbits to infinity associated with a homoclinic flip bifurcation
Andrus Giraldo, Bernd Krauskopf and Hinke M. Osinga
2020, 7(2) : 489-510 doi: 10.3934/jcd.2020020 +[Abstract](162) +[HTML](53) +[PDF](2136.24KB)
Manifold learning for accelerating coarse-grained optimization
Dmitry Pozharskiy, Noah J. Wichrowski, Andrew B. Duncan, Grigorios A. Pavliotis and Ioannis G. Kevrekidis
2020, 7(2) : 511-536 doi: 10.3934/jcd.2020021 +[Abstract](117) +[HTML](56) +[PDF](2953.16KB)
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](12956) +[PDF](1657.5KB) Cited By(250)
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](4712) +[PDF](1682.6KB) Cited By(22)
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](6477) +[PDF](9556.1KB) Cited By(19)
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](4996) +[PDF](2004.7KB) Cited By(16)
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](3496) +[PDF](1083.3KB) Cited By(12)
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](2869) +[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](3233) +[PDF](1246.3KB) Cited By(10)
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](4264) +[PDF](6559.1KB) Cited By(9)
Steady state bifurcations for the Kuramoto-Sivashinsky equation: A computer assisted proof
Piotr Zgliczyński
2015, 2(1) : 95-142 doi: 10.3934/jcd.2015.2.95 +[Abstract](2989) +[PDF](623.1KB) Cited By(8)
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](3070) +[PDF](916.4KB) Cited By(6)
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](12956) +[PDF](1657.5KB) PDF Downloads(1855)
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](6477) +[PDF](9556.1KB) PDF Downloads(489)
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](4712) +[PDF](1682.6KB) PDF Downloads(416)
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](4996) +[PDF](2004.7KB) PDF Downloads(332)
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](2342) +[HTML](457) +[PDF](13381.36KB) PDF Downloads(285)
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](11595) +[HTML](1696) +[PDF](8429.96KB) PDF Downloads(238)
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](2718) +[HTML](1175) +[PDF](7364.13KB) PDF Downloads(209)
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](1117) +[HTML](397) +[PDF](6147.66KB) PDF Downloads(193)
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](3920) +[HTML](1763) +[PDF](1800.09KB) PDF Downloads(174)
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](3600) +[HTML](2021) +[PDF](440.88KB) PDF Downloads(171)

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