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Divergence beneath the Brillouin sphere and the phenomenology of prediction error in spherical harmonic series approximations of the gravitational field

Reports on progress in physics, 2024-06, Vol.87 (7), p.78301

2024

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Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

Journal of mathematical physics, 2021-10, Vol.62 (10)

2021

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A direct method to find Stokes multipliers in closed form for P_1 and more general integrable systems

Transactions of the American Mathematical Society, 2016-11, Vol.368 (11), p.7579-7621

2016

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A proof for the mode stability of a self-similar wave map

Nonlinearity, 2016-08, Vol.29 (8), p.2451-2473

2016

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Decay estimates for one-dimensional wave equations with inverse power potentials

Transactions of the American Mathematical Society, 2015-05, Vol.367 (5), p.3705-3732

2015

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Analytical Approximation of the Blasius Similarity Solution with Rigorous Error Bounds

SIAM journal on mathematical analysis, 2014-01, Vol.46 (6), p.3782-3813

2014

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Gamow Vectors and Borel Summability in a Class of Quantum Systems

Journal of statistical physics, 2011-08, Vol.144 (4), p.846-871

2011

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The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension

SIAM journal on mathematical analysis, 2013-01, Vol.45 (5), p.2924-2936

2013

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On the formation of singularities of solutions of nonlinear differential systems in antistokes directions

Inventiones mathematicae, 2001-09, Vol.145 (3), p.425-485

2001

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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

2011

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Sharp Hardy–Leray inequality for axisymmetric divergence-free fields

Calculus of variations and partial differential equations, 2008-08, Vol.32 (4), p.523-532

2008

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Geometric construction and analytic representation of Julia sets of polynomial maps

Nonlinearity, 2011-04, Vol.24 (4), p.1311-1327

2011

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On the Construction of Particle Distributions with Specified Single and Pair Densities

The journal of physical chemistry. B, 2004-12, Vol.108 (51), p.19614-19618

2004

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Preferred reversal paths caused by a heterogeneous conducting layer at the base of the mantle

Journal of Geophysical Research - Solid Earth, 2004-06, Vol.109 (B6), p.B06101-n/a

2004

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A DIRECT METHOD TO FIND STOKES MULTIPLIERS IN CLOSED FORM FOR P1 AND MORE GENERAL INTEGRABLE SYSTEMS

Transactions of the American Mathematical Society, 2016-11, Vol.368 (11), p.7579-7621

2016

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Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI

Duke mathematical journal, 2014-03, Vol.163 (4)

2014

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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

2011

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An integral equation approach to smooth 3D Navier–Stokes solution

Physica scripta, 2008-12, Vol.2008, p.014040

2008

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Exact results for ionization of model atomic systems

Journal of mathematical physics, 2010-01, Vol.51 (1), p.015211-015211-16

2010

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Time asymptotics of the schrödinger wave function in time-periodic potentials

Journal of statistical physics, 2004-08, Vol.116 (1-4), p.283-310

2004

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Oscillatory Critical Amplitudes in Hierarchical Models and the Harris Function of Branching Processes

Journal of statistical physics, 2013-02, Vol.150 (3), p.471-486

2013

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On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations

Duke mathematical journal, 1998-06, Vol.93 (2)

Costin, Ovidiu

1998

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Analytic methods for obstruction to integrability in discrete dynamical systems

Communications on pure and applied mathematics, 2005-06, Vol.58 (6), p.723-749

2005

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Borel summation of adiabatic invariants

Nonlinearity, 2004-07, Vol.17 (4), p.1509-1519

2004

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Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of P_{I}

Duke mathematical journal, 2014, Vol.163 (no. 4), p.665-704

2014

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Divergence beneath the Brillouin sphere and the phenomenology of prediction error in spherical harmonic series approximations of the gravitational field

Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case

A direct method to find Stokes multipliers in closed form for P_1 and more general integrable systems

A proof for the mode stability of a self-similar wave map

Decay estimates for one-dimensional wave equations with inverse power potentials

Analytical Approximation of the Blasius Similarity Solution with Rigorous Error Bounds

Gamow Vectors and Borel Summability in a Class of Quantum Systems

The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension

On the formation of singularities of solutions of nonlinear differential systems in antistokes directions

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. I

Sharp Hardy–Leray inequality for axisymmetric divergence-free fields

Geometric construction and analytic representation of Julia sets of polynomial maps

On the Construction of Particle Distributions with Specified Single and Pair Densities

Preferred reversal paths caused by a heterogeneous conducting layer at the base of the mantle

A DIRECT METHOD TO FIND STOKES MULTIPLIERS IN CLOSED FORM FOR P1 AND MORE GENERAL INTEGRABLE SYSTEMS

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI

Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

An integral equation approach to smooth 3D Navier–Stokes solution

Exact results for ionization of model atomic systems

Time asymptotics of the schrödinger wave function in time-periodic potentials

Oscillatory Critical Amplitudes in Hierarchical Models and the Harris Function of Branching Processes

On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations

Analytic methods for obstruction to integrability in discrete dynamical systems

Borel summation of adiabatic invariants

Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of P_{I}

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