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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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Preface Special issue in honor of Reinout Quispel
Elena Celledoni and Robert I. McLachlan
2019, 6(2) : ⅰ-ⅴ doi: 10.3934/jcd.2019007 +[Abstract](194) +[HTML](72) +[PDF](194.73KB)
Efficient time integration methods for Gross-Pitaevskii equations with rotation term
Philipp Bader, Sergio Blanes, Fernando Casas and Mechthild Thalhammer
2019, 6(2) : 147-169 doi: 10.3934/jcd.2019008 +[Abstract](170) +[HTML](58) +[PDF](3361.15KB)
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](415) +[HTML](76) +[PDF](13381.36KB)
Algebraic structure of aromatic B-series
Geir Bogfjellmo
2019, 6(2) : 199-222 doi: 10.3934/jcd.2019010 +[Abstract](139) +[HTML](63) +[PDF](239.67KB)
A new class of integrable Lotka–Volterra systems
Helen Christodoulidi, Andrew N. W. Hone and Theodoros E. Kouloukas
2019, 6(2) : 223-237 doi: 10.3934/jcd.2019011 +[Abstract](178) +[HTML](56) +[PDF](12453.66KB)
Solving the wave equation with multifrequency oscillations
Marissa Condon, Arieh Iserles, Karolina Kropielnicka and Pranav Singh
2019, 6(2) : 239-249 doi: 10.3934/jcd.2019012 +[Abstract](115) +[HTML](49) +[PDF](298.49KB)
Principal symmetric space analysis
Charles Curry, Stephen Marsland and Robert I McLachlan
2019, 6(2) : 251-276 doi: 10.3934/jcd.2019013 +[Abstract](134) +[HTML](60) +[PDF](5084.81KB)
Integrable reductions of the dressing chain
Charalampos Evripidou, Pavlos Kassotakis and Pol Vanhaecke
2019, 6(2) : 277-306 doi: 10.3934/jcd.2019014 +[Abstract](118) +[HTML](58) +[PDF](478.78KB)
Locally conservative finite difference schemes for the modified KdV equation
Gianluca Frasca-Caccia and Peter E. Hydon
2019, 6(2) : 307-323 doi: 10.3934/jcd.2019015 +[Abstract](113) +[HTML](52) +[PDF](1446.74KB)
Re-factorising a QRT map
Nalini Joshi and Pavlos Kassotakis
2019, 6(2) : 325-343 doi: 10.3934/jcd.2019016 +[Abstract](97) +[HTML](53) +[PDF](408.22KB)
The Lie algebra of classical mechanics
Robert I. McLachlan and Ander Murua
2019, 6(2) : 345-360 doi: 10.3934/jcd.2019017 +[Abstract](147) +[HTML](52) +[PDF](379.81KB)
A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation
Yuto Miyatake, Tai Nakagawa, Tomohiro Sogabe and Shao-Liang Zhang
2019, 6(2) : 361-383 doi: 10.3934/jcd.2019018 +[Abstract](138) +[HTML](48) +[PDF](1316.05KB)
Discrete gradients for computational Bayesian inference
Sahani Pathiraja and Sebastian Reich
2019, 6(2) : 385-400 doi: 10.3934/jcd.2019019 +[Abstract](110) +[HTML](58) +[PDF](793.78KB)
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. Ⅱ. Systems with a linear Poisson tensor
Matteo Petrera and Yuri B. Suris
2019, 6(2) : 401-408 doi: 10.3934/jcd.2019020 +[Abstract](120) +[HTML](51) +[PDF](589.36KB)
Chains of rigid bodies and their numerical simulation by local frame methods
Nicolai Sætran and Antonella Zanna
2019, 6(2) : 409-427 doi: 10.3934/jcd.2019021 +[Abstract](91) +[HTML](62) +[PDF](1664.33KB)
Study of adaptive symplectic methods for simulating charged particle dynamics
Yanyan Shi, Yajuan Sun, Yulei Wang and Jian Liu
2019, 6(2) : 429-448 doi: 10.3934/jcd.2019022 +[Abstract](125) +[HTML](65) +[PDF](3261.54KB)
Linear degree growth in lattice equations
Dinh T. Tran and John A. G. Roberts
2019, 6(2) : 449-467 doi: 10.3934/jcd.2019023 +[Abstract](101) +[HTML](51) +[PDF](380.73KB)
Strange attractors in a predator–prey system with non-monotonic response function and periodic perturbation
Johan Matheus Tuwankotta and Eric Harjanto
2019, 6(2) : 469-483 doi: 10.3934/jcd.2019024 +[Abstract](144) +[HTML](50) +[PDF](2220.88KB)
Using Lie group integrators to solve two and higher dimensional variational problems with symmetry
Michele Zadra and Elizabeth L. Mansfield
2019, 6(2) : 485-511 doi: 10.3934/jcd.2019025 +[Abstract](107) +[HTML](49) +[PDF](829.7KB)
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](9386) +[PDF](1657.5KB) Cited By(99)
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](2305) +[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](2526) +[PDF](1246.3KB) 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](2902) +[PDF](1083.3KB) Cited By(8)
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](3505) +[PDF](6559.1KB) 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](2347) +[PDF](8600.4KB) Cited By(6)
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](2775) +[PDF](1434.0KB) Cited By(5)
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](5103) +[PDF](9556.1KB) Cited By(4)
An elementary way to rigorously estimate convergence to equilibrium and escape rates
Stefano Galatolo, Isaia Nisoli and Benoît Saussol
2015, 2(1) : 51-64 doi: 10.3934/jcd.2015.2.51 +[Abstract](2115) +[PDF](505.8KB) Cited By(4)
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](2430) +[PDF](623.1KB) 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](9386) +[PDF](1657.5KB) PDF Downloads(1006)
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](5103) +[PDF](9556.1KB) PDF Downloads(340)
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](3720) +[PDF](1682.6KB) PDF Downloads(220)
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](9490) +[HTML](1315) +[PDF](8429.96KB) PDF Downloads(194)
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](3757) +[PDF](2004.7KB) PDF Downloads(192)
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](1981) +[HTML](860) +[PDF](7364.13KB) PDF Downloads(175)
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](3131) +[HTML](1459) +[PDF](1800.09KB) PDF Downloads(151)
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](2914) +[HTML](1614) +[PDF](440.88KB) PDF Downloads(147)
Parameterization method for unstable manifolds of delay differential equations
C. M. Groothedde and J. D. Mireles James
2017, 4(1&2) : 21-70 doi: 10.3934/jcd.2017002 +[Abstract](3743) +[HTML](1705) +[PDF](20182.49KB) PDF Downloads(107)
The dependence of Lyapunov exponents of polynomials on their coefficients
Shrihari Sridharan and Atma Ram Tiwari
2019, 6(1) : 95-109 doi: 10.3934/jcd.2019004 +[Abstract](844) +[HTML](334) +[PDF](424.95KB) PDF Downloads(92)



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