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Asymptotic expansions for ordinary differential equations
TLDR
Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Systèmes aux q-différences singuliers réguliers : Classification, matrice de connexion et monodromie
TL;DR: In this paper, Birkhoff et al. pose, par analogie avec le cas classique des equations differentielles, le probleme de Riemann-Hilbert for les systemes fuchsiens aux q-differences lineaires, a coefficients rationnels.
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Ill-posedness of the Hydrostatic Euler and Navier–Stokes Equations
TL;DR: In this article, the linearization of the Euler equations at certain parallel shear flows is ill-posed, and the result also extends to the hydrostatic Navier-Stokes equations with a small viscosity.
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Gauge theory and wild ramification
TL;DR: In this paper, the gauge theory approach to the geometric Langlands program is extended to the case of wild ramification and the new ingredients that are required, relative to the tamely ramified case, are differential operators with irregular singularities, Stokes phenomena, isomonodromic deformation, and, from a physical point of view, new surface operators associated with higher order singularities.
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Exact and Approximate Generalized Ray Theory in Vertically Inhomogeneous Media
TL;DR: In this article, the generalized ray method in a vertically inhomogeneous model is formulated without any approximation by homogeneous layers, and the solution is obtained as an infinite series in multiply " reflected " waves.
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Solving differential equations for Feynman integrals by expansions near singular points
TL;DR: In this paper, the authors describe a strategy to solve differential equations for Feynman integrals by powers series expansions near singular points and to obtain high precision results for the corresponding master integrals.