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On the Introduction of Convergence Factors into Summable Series and Summable Integrals [PDF]
Transactions of the American Mathematical Society, 1907 The object of this paper is to develop certain general theorems about convergence factors. In the case of series we shall mean by convergence factors a set of functions of a parameter which, when introduced as factors of the successive terms of the series, cause a divergent series to converge, or a series which is already convergent to converge more ...
C. Moore
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Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms [PDF]
, 2005 We consider a class of second order ordinary differential equations describing one-dimensional systems with a quasi-periodic analytic forcing term and in the presence of damping.
BARTUCCELLI M.V, DEANE, GENTILE G, J.H.B
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K-homological finiteness and hyperbolic groups [PDF]
, 2015 Motivated by classical facts concerning closed manifolds, we introduce a strong finiteness property in K-homology. We say that a C*-algebra has uniformly summable K-homology if all its K-homology classes can be represented by Fredholm modules which are ...
Emerson, Heath, Nica, Bogdan
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Approximation of high-dimensional parametric PDEs [PDF]
, 2015 Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
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Constructive Matrix Theory [PDF]
, 2007 We extend the technique of constructive expansions to compute the connected functions of matrix models in a uniform way as the size of the matrix increases. This provides the main missing ingredient for a non-perturbative construction of the $\phi^{\star
+14 more
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Borel summability and Lindstedt series
, 2006 Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the strength of the perturbation.
A. Giuliani +9 more
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Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart +12 more
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The Method of almost convergence with operator of the form fractional order and applications
, 2016 The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character.
Kadak, Ugur, Kirisci, Murat
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Spectral Metric Spaces on Extensions of C*-Algebras [PDF]
, 2016 We construct spectral triples on C*-algebraic extensions of unital C*-algebras by stable ideals satisfying a certain Toeplitz type property using given spectral triples on the quotient and ideal.
Hawkins, Andrew, Zacharias, Joachim
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Constructive Field Theory in Zero Dimension
, 2009 In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional $\phi^4$ field theory,in increasing order of sophistication.
Rivasseau, V.
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