ISSN:
 2158-2491

eISSN:
 2158-2505

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Volume 9, 2022

Volume 8, 2021

Volume 7, 2020

Volume 6, 2019

Volume 3, 2016

Volume 2, 2015

Volume 1, 2014





JCD Flyer: showing all essential information of the journal.
Call for Papers: Special Issue of JCD on “Computation of Lyapunov functions and contraction metrics” (click to view details)

Journal of Computational Dynamics (JCD) 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 on structural dynamical systems
Fasma Diele, Marina Popolizio, Alessandro Pugliese, Giuseppe Vacca and Ivonne Sgura
2022, 9(2) : ⅰ-ⅱ doi: 10.3934/jcd.2022013 +[Abstract](175) +[HTML](40) +[PDF](128.89KB)
Simulating deformable objects for computer animation: A numerical perspective
Uri M. Ascher, Egor Larionov, Seung Heon Sheen and Dinesh K. Pai
2022, 9(2) : 47-68 doi: 10.3934/jcd.2021021 +[Abstract](387) +[HTML](154) +[PDF](5690.31KB)
A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation
Marco Berardi and Fabio V. Difonzo
2022, 9(2) : 69-84 doi: 10.3934/jcd.2022001 +[Abstract](342) +[HTML](191) +[PDF](597.65KB)
Applying splitting methods with complex coefficients to the numerical integration of unitary problems
Sergio Blanes, Fernando Casas and Alejandro Escorihuela-Tomàs
2022, 9(2) : 85-101 doi: 10.3934/jcd.2021022 +[Abstract](386) +[HTML](152) +[PDF](1055.57KB)
Piecewise discretization of monodromy operators of delay equations on adapted meshes
Dimitri Breda, Davide Liessi and Rossana Vermiglio
2022, 9(2) : 103-121 doi: 10.3934/jcd.2022004 +[Abstract](152) +[HTML](51) +[PDF](950.81KB)
Numerical preservation issues in stochastic dynamical systems by $ \vartheta $-methods
Raffaele D'Ambrosio and Stefano Di Giovacchino
2022, 9(2) : 123-131 doi: 10.3934/jcd.2021023 +[Abstract](391) +[HTML](150) +[PDF](254.0KB)
A mathematical analysis of an activator-inhibitor Rho GTPase model
Victor Ogesa Juma, Leif Dehmelt, Stéphanie Portet and Anotida Madzvamuse
2022, 9(2) : 133-158 doi: 10.3934/jcd.2021024 +[Abstract](505) +[HTML](277) +[PDF](3124.5KB)
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations
Gerhard Kirsten
2022, 9(2) : 159-183 doi: 10.3934/jcd.2021025 +[Abstract](397) +[HTML](154) +[PDF](1598.35KB)
Pattern formation on a growing oblate spheroid. an application to adult sea urchin development
Deborah Lacitignola, Massimo Frittelli, Valerio Cusimano and Andrea De Gaetano
2022, 9(2) : 185-206 doi: 10.3934/jcd.2021027 +[Abstract](400) +[HTML](212) +[PDF](2028.72KB)
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem
Gianmarco Manzini and Annamaria Mazzia
2022, 9(2) : 207-238 doi: 10.3934/jcd.2021020 +[Abstract](510) +[HTML](166) +[PDF](733.23KB)
A non-standard numerical scheme for an age-of-infection epidemic model
Eleonora Messina, Mario Pezzella and Antonia Vecchio
2022, 9(2) : 239-252 doi: 10.3934/jcd.2021029 +[Abstract](661) +[HTML](490) +[PDF](321.96KB)
Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: A Taylor-Chebyshev series approach
Jan Bouwe van den Berg, Gabriel William Duchesne and Jean-Philippe Lessard
2022, 9(2) : 253-278 doi: 10.3934/jcd.2022005 +[Abstract](127) +[HTML](46) +[PDF](1007.93KB)
An algebraic approach to the spontaneous formation of spherical jets
Milo Viviani
2022, 9(2) : 279-298 doi: 10.3934/jcd.2021028 +[Abstract](307) +[HTML](142) +[PDF](4013.48KB)
Symplectic P-stable additive Runge—Kutta methods
Antonella Zanna
2022, 9(2) : 299-328 doi: 10.3934/jcd.2021030 +[Abstract](334) +[HTML](143) +[PDF](3232.2KB)
Hamiltonian control of magnetic field lines: Computer assisted results proving the existence of KAM barriers
Lorenzo Valvo and Ugo Locatelli
2022doi: 10.3934/jcd.2022002 +[Abstract](207) +[HTML](89) +[PDF](473.06KB)
High-order symplectic Lie group methods on $ SO(n) $ using the polar decomposition
Xuefeng Shen, Khoa Tran and Melvin Leok
2022doi: 10.3934/jcd.2022003 +[Abstract](243) +[HTML](115) +[PDF](651.11KB)
Sensitivity analysis for periodic orbits and quasiperiodic invariant tori using the adjoint method
Harry Dankowicz and Jan Sieber
2022doi: 10.3934/jcd.2022006 +[Abstract](87) +[HTML](30) +[PDF](863.12KB)
Continuation methods for principal foliations of embedded surfaces
John Guckenheimer
2022doi: 10.3934/jcd.2022007 +[Abstract](67) +[HTML](29) +[PDF](1605.0KB)
Determining the global manifold structure of a continuous-time heterodimensional cycle
Andy Hammerlindl, Bernd Krauskopf, Gemma Mason and Hinke M. Osinga
2022doi: 10.3934/jcd.2022008 +[Abstract](88) +[HTML](56) +[PDF](2038.69KB)
Bistability, bifurcations and chaos in the Mackey-Glass equation
Valentin Duruisseaux and Antony R. Humphries
2022doi: 10.3934/jcd.2022009 +[Abstract](77) +[HTML](24) +[PDF](12640.73KB)
Computation of nonreciprocal dynamics in nonlinear materials
Behrooz Yousefzadeh
2022doi: 10.3934/jcd.2022010 +[Abstract](83) +[HTML](75) +[PDF](1413.2KB)
Emergence of quasiperiodic regimes in a neutral delay model of flute-like instruments: Influence of the detuning between resonance frequencies
Soizic Terrien, Christophe Vergez, Benoît Fabre and Patricio de la Cuadra
2022doi: 10.3934/jcd.2022011 +[Abstract](97) +[HTML](40) +[PDF](1267.73KB)
A novel sensing concept utilizing targeted, complex, nonlinear MEMS dynamics
Seigan Hayashi, Chris J. Cameron and Stefanie Gutschmidt
2022doi: 10.3934/jcd.2022012 +[Abstract](57) +[HTML](63) +[PDF](1783.9KB)
Detecting and determining preserved measures and integrals of birational maps
Elena Celledoni, Charalambos Evripidou, David I. McLaren, Brynjulf Owren, G. R. W. Quispel and Benjamin K. Tapley
2022doi: 10.3934/jcd.2022014 +[Abstract](10) +[HTML](7) +[PDF](411.01KB)
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](25647) +[PDF](1657.5KB) Cited By(341)
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](7985) +[PDF](1682.6KB) Cited By(64)
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](12297) +[PDF](9556.1KB) Cited By(55)
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](9032) +[PDF](2004.7KB) Cited By(20)
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](4799) +[PDF](8600.4KB) Cited By(12)
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](5317) +[PDF](1083.3KB) Cited By(12)
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](5125) +[PDF](1246.3KB) Cited By(11)
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](4771) +[PDF](2835.1KB) Cited By(10)
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](4494) +[PDF](623.1KB) 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](6539) +[PDF](6559.1KB) Cited By(9)
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](25647) +[PDF](1657.5KB) PDF Downloads(3277)
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](12297) +[PDF](9556.1KB) PDF Downloads(1469)
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](4014) +[HTML](633) +[PDF](6147.66KB) PDF Downloads(1196)
Uncertainty in finite-time Lyapunov exponent computations
Sanjeeva Balasuriya
2020, 7(2) : 313-337 doi: 10.3934/jcd.2020013 +[Abstract](2875) +[HTML](653) +[PDF](2929.21KB) PDF Downloads(1022)
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](9032) +[PDF](2004.7KB) PDF Downloads(808)
Computing Lyapunov functions using deep neural networks
Lars Grüne
2021, 8(2) : 131-152 doi: 10.3934/jcd.2021006 +[Abstract](2425) +[HTML](629) +[PDF](3923.59KB) PDF Downloads(749)
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](7985) +[PDF](1682.6KB) PDF Downloads(692)
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](2131) +[HTML](614) +[PDF](669.04KB) PDF Downloads(643)
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](6380) +[HTML](653) +[PDF](13381.36KB) PDF Downloads(627)
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](2522) +[HTML](480) +[PDF](672.31KB) PDF Downloads(485)

2020 CiteScore: 1

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