J. D. M. James

发表

Computer Assisted Proofs of Attracting Invariant Tori for ODEs

M. Capiński, Emmanuel Fleurantin, J. D. M. James, 2019, 1905.08116.

Transport Barriers, Resonance Tori, and Torus-Chaos In a Vector Field With a Neimark-Sacker Bifurcation

Emmanuel Fleurantin, J. D. M. James, 2019 .

Automatic differentiation for Fourier series and the radii polynomial approach

J. D. M. James, J. Lessard, Julian Ransford, 2016 .

A functional analytic approach to validated numerics for eigenvalues of delay equations

J. D. M. James, J. Lessard, 2020, Journal of Computational Dynamics.

Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem

J. D. M. James, Shane Kepley, 2017, Journal of Differential Equations.

Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds

J. D. M. James, 2015 .

Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits

J. D. M. James, 2015 .

AMS Short Course on Rigorous Numerics in Dynamics: The Parameterization Method for Stable/Unstable Manifolds of Vector Fields

J. D. M. James, 2017 .

Fourier–Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds

J. D. M. James, 2016, Foundations of Computational Mathematics.

Computation of maximal local (un)stable manifold patches by the parameterization method

J. D. M. James, J. Lessard, Maxime Breden, 2015, 1508.02615.

AMS Short Course on Rigorous Numerics in Dynamics: (Un)Stable Manifolds and Connecting Orbits

J. D. M. James, 2015 .

Parameterization method for unstable manifolds of delay differential equations

J. D. M. James, C. Groothedde, 2017 .

Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem

M. Capiński, J. D. M. James, Shane Kepley, 2022, 2205.03922.

Parameterized Stable/Unstable Manifolds for Periodic Solutions of Implicitly Defined Dynamical Systems

J. D. M. James, A. Timsina, 2022, SSRN Electronic Journal.

Computer assisted proofs of two-dimensional attracting invariant tori for ODEs

M. Capiński, Emmanuel Fleurantin, J. D. M. James, 2020, Discrete & Continuous Dynamical Systems - A.

Parameterization of Invariant Manifolds for Periodic Orbits (II): A Posteriori Analysis and Computer Assisted Error Bounds

J. D. M. James, J. Lessard, R. Castelli, 2018 .

Quadratic Volume-Preserving Maps: (Un)stable Manifolds, Hyperbolic Dynamics, and Vortex-Bubble Bifurcations

J. D. M. James, 2013 .

A Rigorous Implicit $$C^1$$ C 1 Chebyshev Integrator for Delay Equations

J. D. M. James, J. Lessard, 2020, Journal of Dynamics and Differential Equations.

State dependent delay maps: numerical algorithms and dynamics of projections

Francis C. Motta, J. D. M. James, V. Naudot, 2022, 2211.09914.

Parameterization of Invariant Manifolds for Periodic Orbits (II): A Posteriori Analysis and Computer Assisted Error Bounds

J. D. M. James, J. Lessard, R. Castelli, 2017, Journal of Dynamics and Differential Equations.

Adaptive Set-Oriented Computation of Topological Horseshoe Factors in Area and Volume Preserving Maps

J. D. Mireles James, J. D. M. James, 2010 .

Celestial Mechanics Problem Set 2 : The State Transition Matrix and Method of Differential Corrections

J. D. M. James, 2006 .

Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations

J. D. M. James, Jonathan Jaquette, J. B. Berg, 2020, 2004.14830.

Torus knot choreographies in the n-body problem

J. D. M. James, J. Lessard, R. Calleja, 2019, 1901.03738.

Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence

J. D. M. James, J. Lessard, J. Burgos-García, 2019, Celestial Mechanics and Dynamical Astronomy.

Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence

J. D. M. James, J. Lessard, J. Burgos-García, 2019, Celestial Mechanics and Dynamical Astronomy.

PARAMETERIZATION OF INVARIANT MANIFOLDS BY REDUCIBILITY FOR VOLUME PRESERVING AND SYMPLECTIC MAPS

J. D. M. James, R. Llave, 2012 .

From the Lagrange polygon to the figure eight I

J. D. M. James, J. Lessard, R. Calleja, 2020, Celestial Mechanics and Dynamical Astronomy.

Finite element approximation of invariant manifolds by the parameterization method

J. D. M. James, N. Tuncer, J. Mireles-James, 2022, Partial Differential Equations and Applications.

Weighted Birkhoff Averages and the Parameterization Method

J. D. M. James, David Blessing, 2023, 2306.16597.

Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem

J. D. M. James, Shane Kepley, J. M. Mireles James, 2022, Journal of Differential Equations.