Edit Profile (opens in new tab) Lessard, Jean-Philippe Compute Distance To: Compute Author ID: lessard.jean-philippe Published as: Lessard, Jean-Philippe; Lessard, J. P. Documents Indexed: 59 Publications since 2007 1 Contribution as Editor Co-Authors: 43 Co-Authors with 56 Joint Publications 553 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Mireles-James, Jason D. 12 van den Berg, Jan Bouwe 10 Gameiro, Marcio F. 6 Breden, Maxime 6 Castelli, Roberto 5 Mischaikow, Konstantin 4 García-Azpeitia, Carlos 3 Jaquette, Jonathan 2 Calleja, Renato C. 2 Kiss, Gabor 2 Pugliese, Alessandro 2 Reinhardt, Christian 2 Takayasu, Akitoshi 1 Alama, Yvonne Bronsard 1 Balázs, István 1 Burgos-García, Jaime 1 Choksi, Rustum 1 Church, Kevin E. M. 1 Constantineau, Kevin 1 Correc, Anaïs 1 Courtois, Julien 1 D’Ambrosio, Lorenzo 1 Day, Sarah L. 1 de la Llave, Rafael 1 Deschênes, Andréa 1 Desvillettes, Laurent 1 Duchesne, Gabriel William 1 Dudás, János 1 Figueras, Jordi-Lluís 1 Groothedde, Chris 1 Hénot, Olivier 1 Hungria, Allan 1 Martine-La Boissonière, Gabriel 1 Murray, Maxime 1 Queirolo, Elena 1 Ransford, Julian 1 Ricaud, Yann 1 Sander, Evelyn 1 van Veen, Lennaert 1 Vanicat, Matthieu 1 Vörös-Kiss, Anett 1 Wanner, Thomas 1 Yin, Xi Yuan all top 5 Serials 8 SIAM Journal on Applied Dynamical Systems 6 Journal of Dynamics and Differential Equations 5 Journal of Differential Equations 4 Journal of Computational Dynamics 3 SIAM Journal on Numerical Analysis 2 Nonlinearity 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Applications of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Celestial Mechanics and Dynamical Astronomy 2 Indagationes Mathematicae. New Series 1 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 European Journal of Applied Mathematics 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of Symposia in Applied Mathematics all top 5 Fields 41 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 830 times in 201 Documents Cited by ▼ Year ▼ Validated continuation for equilibria of PDEs. Zbl 1151.65074Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin 72 2007 Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin 42 2011 Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Zbl 1332.65114Hungria, Allan; Lessard, Jean-Philippe; Mireles James, J. D. 41 2016 Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs. Zbl 1256.35196Gameiro, Marcio; Lessard, Jean-Philippe 40 2010 Rigorous numerics in dynamics. Zbl 1338.68301van den Berg, Jan Bouwe; Lessard, Jean-Philippe 40 2015 Global smooth solution curves using rigorous branch following. Zbl 1206.37045van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin 37 2010 Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright’s equation. Zbl 1200.34078Lessard, Jean-Philippe 37 2010 Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. Zbl 1351.37107Lessard, Jean-Philippe; Mireles James, Jason D.; Reinhardt, Christian 33 2014 Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system. Zbl 1277.65088Breden, Maxime; Lessard, Jean-Philippe; Vanicat, Matthieu 33 2013 Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D. 32 2015 Rigorous numerics for nonlinear differential equations using Chebyshev series. Zbl 1290.65060Lessard, Jean-Philippe; Reinhardt, Christian 28 2014 Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062van den Berg, Jan Bouwe; Lessard, Jean-Philippe 28 2008 Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D. 27 2015 Computation of maximal local (un)stable manifold patches by the parameterization method. Zbl 1336.65197Breden, Maxime; Lessard, Jean-Philippe; Mireles James, Jason D. 22 2016 Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation. Zbl 1216.65145Gameiro, Marcio; Lessard, Jean-Philippe 20 2011 Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin 20 2008 Computational fixed-point theory for differential delay equations with multiple time lags. Zbl 1247.34119Kiss, Gábor; Lessard, Jean-Philippe 19 2012 Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation. Zbl 1390.35262Castelli, Roberto; Gameiro, Marcio; Lessard, Jean-Philippe 19 2018 A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael 18 2017 Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates. Zbl 1277.65084Gameiro, Marcio; Lessard, Jean-Philippe 18 2013 A posteriori verification of invariant objects of evolution equations: periodic orbits in the Kuramoto-Sivashinsky PDE. Zbl 1365.35222Gameiro, Marcio; Lessard, Jean-Philippe 17 2017 Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits. Zbl 1293.37033Castelli, Roberto; Lessard, Jean-Philippe 16 2013 A method to rigorously enclose eigenpairs of complex interval matrices. Zbl 1340.65057Castelli, Roberto; Lessard, Jean-Philippe 16 2013 Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian 16 2016 Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof. Zbl 1405.34037van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; Murray, Maxime 14 2018 Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions. Zbl 1347.65102Gameiro, Marcio; Lessard, Jean-Philippe; Pugliese, Alessandro 13 2016 Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin 11 2017 Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007Lessard, Jean-Philippe; Mireles James, J. D. 10 2017 Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: a computer-assisted proof. Zbl 1384.34030Correc, Anaïs; Lessard, Jean-Philippe 8 2015 Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator. Zbl 1421.65016Kiss, Gabor; Lessard, Jean-Philippe 8 2017 Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan 8 2018 Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas 7 2017 Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. Zbl 1419.37020Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. 6 2018 Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles 6 2019 Blow-up profile for solutions of a fourth order nonlinear equation. Zbl 1325.34045D’Ambrosio, Lorenzo; Lessard, Jean-Philippe; Pugliese, Alessandro 5 2015 Rigorous numerics for piecewise-smooth systems: a functional analytic approach based on Chebyshev series. Zbl 1323.65123Gameiro, Marcio; Lessard, Jean-Philippe; Ricaud, Yann 5 2016 Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs. Zbl 1398.65092Breden, Maxime; Lessard, Jean-Philippe 5 2018 Continuation of solutions and studying delay differential equations via rigorous numerics. Zbl 1408.65101Lessard, Jean-Philippe 5 2018 Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert 5 2021 Rigorous verification of saddle-node bifurcations in ODEs. Zbl 1351.34045Lessard, Jean-Philippe 4 2016 A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863Lessard, J. P.; Mireles James, J. D. 4 2020 Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena 4 2021 Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. 3 2015 Computing discrete convolutions with verified accuracy via Banach algebras and the FFT. Zbl 06945730Lessard, Jean-Philippe 3 2018 Torus knot choreographies in the \(n\)-body problem. Zbl 1476.70035Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D. 2 2021 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 1 2015 Existence of secondary bifurcations or isolas for PDEs. Zbl 1221.35052Gameiro, Marcio; Lessard, Jean-Philippe 1 2011 Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Zbl 1396.37003 1 2018 Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert 5 2021 Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena 4 2021 Torus knot choreographies in the \(n\)-body problem. Zbl 1476.70035Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D. 2 2021 A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863Lessard, J. P.; Mireles James, J. D. 4 2020 Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles 6 2019 Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation. Zbl 1390.35262Castelli, Roberto; Gameiro, Marcio; Lessard, Jean-Philippe 19 2018 Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof. Zbl 1405.34037van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; Murray, Maxime 14 2018 Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan 8 2018 Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. Zbl 1419.37020Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. 6 2018 Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs. Zbl 1398.65092Breden, Maxime; Lessard, Jean-Philippe 5 2018 Continuation of solutions and studying delay differential equations via rigorous numerics. Zbl 1408.65101Lessard, Jean-Philippe 5 2018 Computing discrete convolutions with verified accuracy via Banach algebras and the FFT. Zbl 06945730Lessard, Jean-Philippe 3 2018 Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Zbl 1396.37003 1 2018 A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael 18 2017 A posteriori verification of invariant objects of evolution equations: periodic orbits in the Kuramoto-Sivashinsky PDE. Zbl 1365.35222Gameiro, Marcio; Lessard, Jean-Philippe 17 2017 Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin 11 2017 Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007Lessard, Jean-Philippe; Mireles James, J. D. 10 2017 Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator. Zbl 1421.65016Kiss, Gabor; Lessard, Jean-Philippe 8 2017 Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas 7 2017 Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Zbl 1332.65114Hungria, Allan; Lessard, Jean-Philippe; Mireles James, J. D. 41 2016 Computation of maximal local (un)stable manifold patches by the parameterization method. Zbl 1336.65197Breden, Maxime; Lessard, Jean-Philippe; Mireles James, Jason D. 22 2016 Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian 16 2016 Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions. Zbl 1347.65102Gameiro, Marcio; Lessard, Jean-Philippe; Pugliese, Alessandro 13 2016 Rigorous numerics for piecewise-smooth systems: a functional analytic approach based on Chebyshev series. Zbl 1323.65123Gameiro, Marcio; Lessard, Jean-Philippe; Ricaud, Yann 5 2016 Rigorous verification of saddle-node bifurcations in ODEs. Zbl 1351.34045Lessard, Jean-Philippe 4 2016 Rigorous numerics in dynamics. Zbl 1338.68301van den Berg, Jan Bouwe; Lessard, Jean-Philippe 40 2015 Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D. 32 2015 Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D. 27 2015 Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: a computer-assisted proof. Zbl 1384.34030Correc, Anaïs; Lessard, Jean-Philippe 8 2015 Blow-up profile for solutions of a fourth order nonlinear equation. Zbl 1325.34045D’Ambrosio, Lorenzo; Lessard, Jean-Philippe; Pugliese, Alessandro 5 2015 Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D. 3 2015 Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime 1 2015 Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. Zbl 1351.37107Lessard, Jean-Philippe; Mireles James, Jason D.; Reinhardt, Christian 33 2014 Rigorous numerics for nonlinear differential equations using Chebyshev series. Zbl 1290.65060Lessard, Jean-Philippe; Reinhardt, Christian 28 2014 Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system. Zbl 1277.65088Breden, Maxime; Lessard, Jean-Philippe; Vanicat, Matthieu 33 2013 Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates. Zbl 1277.65084Gameiro, Marcio; Lessard, Jean-Philippe 18 2013 Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits. Zbl 1293.37033Castelli, Roberto; Lessard, Jean-Philippe 16 2013 A method to rigorously enclose eigenpairs of complex interval matrices. Zbl 1340.65057Castelli, Roberto; Lessard, Jean-Philippe 16 2013 Computational fixed-point theory for differential delay equations with multiple time lags. Zbl 1247.34119Kiss, Gábor; Lessard, Jean-Philippe 19 2012 Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin 42 2011 Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation. Zbl 1216.65145Gameiro, Marcio; Lessard, Jean-Philippe 20 2011 Existence of secondary bifurcations or isolas for PDEs. Zbl 1221.35052Gameiro, Marcio; Lessard, Jean-Philippe 1 2011 Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs. Zbl 1256.35196Gameiro, Marcio; Lessard, Jean-Philippe 40 2010 Global smooth solution curves using rigorous branch following. Zbl 1206.37045van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin 37 2010 Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright’s equation. Zbl 1200.34078Lessard, Jean-Philippe 37 2010 Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062van den Berg, Jan Bouwe; Lessard, Jean-Philippe 28 2008 Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin 20 2008 Validated continuation for equilibria of PDEs. Zbl 1151.65074Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin 72 2007 all cited Publications top 5 cited Publications all top 5 Cited by 223 Authors 47 Lessard, Jean-Philippe 35 Mireles-James, Jason D. 20 van den Berg, Jan Bouwe 11 Breden, Maxime 9 de la Llave, Rafael 9 Gameiro, Marcio F. 8 Castelli, Roberto 7 Wanner, Thomas 6 Arioli, Gianni 6 Capinski, Maciej J. 6 Zgliczyński, Piotr 5 Church, Kevin E. M. 5 Jaquette, Jonathan 5 Kepley, Shane 5 Koch, Hans-Friedrich 5 Mischaikow, Konstantin 5 Nakao, Mitsuhiro T. 5 Oishi, Shin’ichi 5 Takayasu, Akitoshi 4 García-Azpeitia, Carlos 4 Kühn, Christian 3 Calleja, Renato C. 3 Cyranka, Jacek 3 Gimeno, Joan 3 Hénot, Olivier 3 Matsue, Kaname 3 Murray, Maxime 3 Pugliese, Alessandro 3 Queirolo, Elena 3 Reinhardt, Christian 3 Sander, Evelyn 3 Tanaka, Kazuaki 2 Barabash, Nikita V. 2 Belykh, Igor V. 2 Belykh, Vladimir Nikitich 2 Blömker, Dirk 2 Burgos-García, Jaime 2 de Wolff, B. A. J. 2 Duchesne, Gabriel William 2 Figueras, Jordi-Lluís 2 Fleurantin, Emmanuel 2 Groothedde, C. M. 2 Hetebrij, Wouter 2 Huguet, Gemma 2 Kalies, William D. 2 Kinoshita, Takehiko 2 Kiss, Gabor 2 Krisztin, Tibor 2 Mizuguchi, Makoto 2 Nizhnik, Irina L. 2 Nolde, Christian 2 Pérez-Cervera, Alberto 2 Plum, Michael 2 Röst, Gergely 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 M-Seara, Tere 2 Sheombarsing, Ray 2 Soresina, Cinzia 2 Wilczak, Daniel 2 Yang, Jiaqi 1 Adams, Ronald L. 1 Alama, Yvonne Bronsard 1 Asai, Taisei 1 Baker, Ruth Elizabeth 1 Balasuriya, Sanjeeva 1 Balázs, István 1 Bánhelyi, Balázs 1 Barker, Blake 1 Barrio, Roberto 1 Bartha, Ferenc Ágoston 1 Beck, Margaret 1 Bengochea, Abimael 1 Beran, Zdeněk 1 Bi, Qinsheng 1 Birrell, Jeremiah 1 Bodnar, Marek 1 Bose, Amitabha 1 Bouteraa, M. 1 Braun, Julian 1 Bréhard, Florent 1 Breunung, Thomas 1 Caracciolo, Chiara 1 Carrillo de la Plata, José Antonio 1 Chainais-Hillairet, Claire 1 Cheng, Hongyu 1 Choi, Yuncherl 1 Chowdhury, Atiqur 1 Colombo, Alessandro G. 1 Constantineau, Kevin 1 Coomes, Brian A. 1 Correc, Anaïs 1 Courtois, Julien 1 Csendes, Tibor 1 Czechowski, Aleksander 1 D’Ambrosio, Lorenzo 1 Day, Sarah L. 1 Del Buono, Nicoletta 1 del-Castillo-Negrete, Diego 1 Deng, Shengfu 1 Deschênes, Andréa ...and 123 more Authors all top 5 Cited in 59 Serials 27 SIAM Journal on Applied Dynamical Systems 23 Journal of Differential Equations 12 Journal of Computational Dynamics 10 Journal of Dynamics and Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 6 Physica D 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Nonlinearity 5 Journal of Computational and Applied Mathematics 5 Celestial Mechanics and Dynamical Astronomy 5 Indagationes Mathematicae. New Series 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems. Series B 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 3 Applied Mathematics and Computation 3 Chaos 3 Qualitative Theory of Dynamical Systems 3 Foundations of Computational Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 Journal of Mathematical Fluid Mechanics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SN Partial Differential Equations and Applications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Physica A 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 Sugaku Expositions 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Population Studies 1 Nonlinear Dynamics 1 Differential Equations 1 Journal of the Indonesian Mathematical Society 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation all top 5 Cited in 26 Fields 99 Numerical analysis (65-XX) 93 Dynamical systems and ergodic theory (37-XX) 82 Ordinary differential equations (34-XX) 71 Partial differential equations (35-XX) 19 Mechanics of particles and systems (70-XX) 17 Operator theory (47-XX) 15 Biology and other natural sciences (92-XX) 8 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year