Results 11 to 20 of about 2,760 (198)

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
core   +4 more sources

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
core   +2 more sources

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, Andreev R, C Schwab, Chkifa A Cohen A DeVore R Schwab C, Cohen A, Gittelson C J, Hoang V Ha, Hoermander L, Kaipio J, Liu J, Robert C P, Roberts G O, Spanos P D   +12 more
core   +3 more sources

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, A.D. Sokal, F. Nevanlinna, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gentile, O. Costin   +9 more
core   +1 more source

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
core   +1 more source

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
, A. Abdesselam, A. Abdesselam, A. Mirlin, J. Glimm, J. Magnen, J. Magnen, J.A. Zuk, J.Feldman, K.B. Efetov, M.L. Mehta, V. Rivasseau, V. Rivasseau, V. Rivasseau, Vincent Rivasseau   +14 more
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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.
core   +5 more sources

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
core   +1 more source

Loop Vertex Expansion for Phi^2k Theory in Zero Dimension

, 2010
In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the free energy of Phi^2k scalar theory in zero dimension is Borel-Le Roy ...
Rivasseau, Vincent, Wang, Zhituo
core   +2 more sources

Charged structure constants from modularity [PDF]

, 2017
We derive a universal formula for the average heavy-heavy-light structure constants for 2d CFTs with non-vanishing u(1) charge. The derivation utilizes the modular properties of one-point functions on the torus.
Das, Diptarka, Datta, Shouvik, Pal, Sridip   +2 more
core   +2 more sources