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Asymptotic expansions for ordinary differential equations
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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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Feynman integrals are completely determined by linear algebra
Zhi-Feng Liu,Yan Ma +1 more
TL;DR: In this paper , it was shown that all Feynman integrals with any number of loops can be determined completely by linear relations between FIs, and that FIs computation is conceptually changed to a linear algebraic problem.
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Reviews and descriptions of tables and books
Nico M. Temme,John C. Strikwerda +1 more
TL;DR: This book deals with numerical methods for the solution of eigenvalue problems, and David Watkins does a superb job in explaining the intricacies of these methods, guiding the reader through the process.
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Borel summability of Navier-Stokes equation in $\mathbb{R}^3$ and small time existence
O. Costin,S. Tanveer +1 more
TL;DR: In this paper, the Navier-Stokes initial value problem was studied in terms of divergence free vector fields, and a Borel summation method was used to show that there exists a classical solution in the form of v(x, t) = v_0 + \int_0^\infty e^{-p/t} U(x and p) dp.
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A Logic Based Approach to Finding Real Singularities of Implicit Ordinary Differential Equations
TL;DR: In this paper, the authors discuss the effective computation of geometric singularities of implicit ordinary differential equations over the real numbers using methods from logic and demonstrate the relevance and applicability of their approach with computational experiments using a prototypical implementation in Reduce.
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Matrix valued polynomials generated by the scalar-type Rodrigues' formulas
TL;DR: The properties of matrix valued polynomials generated by the scalar-type Rodrigues' formulas are analyzed in this article, where a general representation of these polynomorphisms is found in terms of products of simple differential operators.