| Year |
Citation |
Score |
| 2020 |
Alama YB, Lessard J. Traveling wave oscillatory patterns in a signed Kuramoto-Sivashinsky equation with absorption Journal of Computational and Applied Mathematics. 372: 112608. DOI: 10.1016/J.Cam.2019.112608 |
0.541 |
|
| 2020 |
Lessard J, James JDM. A Rigorous Implicit $$C^1$$ Chebyshev Integrator for Delay Equations Journal of Dynamics and Differential Equations. DOI: 10.1007/S10884-020-09880-1 |
0.305 |
|
| 2019 |
Burgos-García J, Lessard J, James JDM. Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence Celestial Mechanics and Dynamical Astronomy. 131: 2. DOI: 10.1007/S10569-018-9879-8 |
0.367 |
|
| 2018 |
Breden M, Lessard J. Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs Discrete and Continuous Dynamical Systems-Series B. 23: 2825-2858. DOI: 10.3934/Dcdsb.2018164 |
0.534 |
|
| 2018 |
Lessard J. Computing Discrete Convolutions with Verified Accuracy Via Banach Algebras and the FFT Applications of Mathematics. 63: 219-235. DOI: 10.21136/Am.2018.0082-18 |
0.453 |
|
| 2018 |
van den Berg JB, Breden M, Lessard J, Murray M. Continuation of homoclinic orbits in the suspension bridge equation: A computer-assisted proof Journal of Differential Equations. 264: 3086-3130. DOI: 10.1016/J.JDE.2017.11.011 |
0.405 |
|
| 2018 |
Castelli R, Gameiro M, Lessard JP. Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation Archive For Rational Mechanics and Analysis. 228: 129-157. DOI: 10.1007/S00205-017-1186-0 |
0.767 |
|
| 2017 |
Lessard J, Sander E, Wanner T. Rigorous continuation of bifurcation points in the diblock copolymer equation Acm Journal of Computer Documentation. 4: 71. DOI: 10.3934/Jcd.2017003 |
0.531 |
|
| 2017 |
Gameiro M, Lessard J. A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE Siam Journal On Applied Dynamical Systems. 16: 687-728. DOI: 10.1137/16M1073789 |
0.767 |
|
| 2017 |
Figueras J, Gameiro M, Lessard JP, Llave Rdl. A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations Siam Journal On Applied Dynamical Systems. 16: 1070-1088. DOI: 10.1137/16M1073777 |
0.744 |
|
| 2017 |
Lessard J, James JDM. Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity Siam Journal On Mathematical Analysis. 49: 530-561. DOI: 10.1137/16M1056006 |
0.454 |
|
| 2017 |
Jaquette J, Lessard J, Mischaikow K. Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation Journal of Differential Equations. 263: 7263-7286. DOI: 10.1016/J.Jde.2017.08.018 |
0.653 |
|
| 2016 |
Hungria A, Lessard JP, Mireles James JD. Rigorous numerics for analytic solutions of differential equations: The radii polynomial approach Mathematics of Computation. 85: 1427-1459. DOI: 10.1090/Mcom/3046 |
0.607 |
|
| 2016 |
Lessard JP. Rigorous verification of saddle–node bifurcations in ODEs Indagationes Mathematicae. 27: 1013-1026. DOI: 10.1016/J.Indag.2016.06.012 |
0.512 |
|
| 2016 |
Breden M, Lessard JP, Mireles James JD. Computation of maximal local (un)stable manifold patches by the parameterization method Indagationes Mathematicae. 27: 340-367. DOI: 10.1016/J.Indag.2015.11.001 |
0.468 |
|
| 2015 |
Breden M, Desvillettes L, Lessard JP. Rigorous numerics for nonlinear operators with tridiagonal dominant linear part Discrete and Continuous Dynamical Systems- Series A. 35: 4765-4789. DOI: 10.3934/Dcds.2015.35.4765 |
0.443 |
|
| 2015 |
Van Den Berg JB, Deschênes A, Lessard JP, James JDM. Stationary coexistence of hexagons and rolls via rigorous computations Siam Journal On Applied Dynamical Systems. 14: 942-979. DOI: 10.1137/140984506 |
0.518 |
|
| 2015 |
Correc A, Lessard JP. Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof European Journal of Applied Mathematics. 26: 33-60. DOI: 10.1017/S0956792514000308 |
0.564 |
|
| 2015 |
Lessard JP, Mireles James JD, Ransford J. Automatic differentiation for Fourier series and the radii polynomial approach Physica D: Nonlinear Phenomena. DOI: 10.1016/J.Physd.2016.02.007 |
0.548 |
|
| 2015 |
D'Ambrosio L, Lessard JP, Pugliese A. Blow-up profile for solutions of a fourth order nonlinear equation Nonlinear Analysis, Theory, Methods and Applications. DOI: 10.1016/J.Na.2014.12.026 |
0.508 |
|
| 2015 |
Castelli R, Lessard JP, Mireles James JD. Analytic enclosure of the fundamental matrix solution Applications of Mathematics. 60: 617-636. DOI: 10.1007/S10492-015-0114-6 |
0.489 |
|
| 2015 |
Gameiro M, Lessard JP, Pugliese A. Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions Foundations of Computational Mathematics. DOI: 10.1007/S10208-015-9259-7 |
0.772 |
|
| 2014 |
Lessard JP, Reinhardt C. Rigorous numerics for nonlinear differential equations using Chebyshev series Siam Journal On Numerical Analysis. 52: 1-22. DOI: 10.1137/13090883X |
0.576 |
|
| 2014 |
Gameiro M, Lessard JP, Ricaud Y. Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series Journal of Computational and Applied Mathematics. DOI: 10.1016/J.Cam.2015.05.016 |
0.737 |
|
| 2014 |
Lessard JP, Mireles James JD, Reinhardt C. Computer Assisted Proof of Transverse Saddle-to-Saddle Connecting Orbits for First Order Vector Fields Journal of Dynamics and Differential Equations. 26: 267-313. DOI: 10.1007/S10884-014-9367-0 |
0.514 |
|
| 2013 |
Gameiro M, Lessard JP. Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates Siam Journal On Numerical Analysis. 51: 2063-2087. DOI: 10.1137/110836651 |
0.749 |
|
| 2013 |
Breden M, Lessard JP, Vanicat M. Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: A 3-component reaction-diffusion system Acta Applicandae Mathematicae. 128: 113-152. DOI: 10.1007/S10440-013-9823-6 |
0.409 |
|
| 2012 |
Kiss G, Lessard JP. Computational fixed-point theory for differential delay equations with multiple time lags Journal of Differential Equations. 252: 3093-3115. DOI: 10.1016/J.Jde.2011.11.020 |
0.6 |
|
| 2011 |
Van Den Berg JB, Mireles-James JD, Lessard JP, Mischaikow K. Rigorous numerics for symmetric connecting orbits: Even homoclinics of the Gray-Scott equation Siam Journal On Mathematical Analysis. 43: 1557-1594. DOI: 10.1137/100812008 |
0.734 |
|
| 2011 |
Gameiro M, Lessard JP. Existence of secondary bifurcations or isolas for PDEs Nonlinear Analysis, Theory, Methods and Applications. 74: 4131-4137. DOI: 10.1016/J.Na.2011.03.046 |
0.754 |
|
| 2011 |
Gameiro M, Lessard JP. Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation Numerische Mathematik. 117: 753-778. DOI: 10.1007/S00211-010-0350-3 |
0.788 |
|
| 2010 |
van den Berg JB, Lessard JP, Mischaikow K. Global smooth solution curves using rigorous branch following Mathematics of Computation. 79: 1565-1584. DOI: 10.1090/S0025-5718-10-02325-2 |
0.658 |
|
| 2010 |
Gameiro M, Lessard JP. Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs Journal of Differential Equations. 249: 2237-2268. DOI: 10.1016/J.Jde.2010.07.002 |
0.782 |
|
| 2010 |
Lessard JP. Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation Journal of Differential Equations. 248: 992-1016. DOI: 10.1016/J.Jde.2009.11.008 |
0.484 |
|
| 2008 |
Van Den Berg JB, Lessard JP. Chaotic braided solutions via rigorous numerics: Chaos in the Swift-Hohenberg equation Siam Journal On Applied Dynamical Systems. 7: 988-1031. DOI: 10.1137/070709128 |
0.555 |
|
| 2008 |
Gameiro M, Lessard JP, Mischaikow K. Validated continuation over large parameter ranges for equilibria of PDEs Mathematics and Computers in Simulation. 79: 1368-1382. DOI: 10.1016/J.Matcom.2008.03.014 |
0.785 |
|
| 2007 |
Day S, Lessard JP, Mischaikow K. Validated continuation for equilibria of PDEs Siam Journal On Numerical Analysis. 45: 1398-1424. DOI: 10.1137/050645968 |
0.779 |
|
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