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Asymptotic expansions by Γ-convergence

Continuum Mechanics and Thermodynamics, 2008
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Braides A., Truskinovsky L.
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Well-Tempered Metadynamics Converges Asymptotically

Physical Review Letters, 2014
Metadynamics is a versatile and capable enhanced sampling method for the computational study of soft matter materials and biomolecular systems. However, over a decade of application and several attempts to give this adaptive umbrella sampling method a firm theoretical grounding prove that a rigorous convergence analysis is elusive.
James F. Dama   +2 more
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Asymptotic convergence of degree‐raising

Advances in Computational Mathematics, 2000
Let \(g\) be a polynomial of degree \(n\) and let \(A_n(g)\) be the polynomial of degree \(\leq n\) interpolating the degree \(n\) control points of \(g\) determined by the Bernstein-Bézier coefficients of \(g\). In this paper the authors study some results associated with \(A_n(g)\).
Floater, Michael S., Lyche, Tom
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Asymptotic Convergence of Backpropagation

Neural Computation, 1989
We calculate analytically the rate of convergence at long times in the backpropagation learning algorithm for networks with and without hidden units. For networks without hidden units using the standard quadratic error function and a sigmoidal transfer function, we find that the error decreases as 1/t for large t, and the output states approach their ...
Gerald Tesauro, Yu He, Subutai Ahmad
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Asymptotically convergent switching differentiator

International Journal of Adaptive Control and Signal Processing, 2019
SummaryA novel switching differentiator with a considerably simplified form is proposed. Under the assumption that the time‐derivative of a time‐varying signal has a Lipschitz constant, it is shown that estimation error is asymptotically convergent to zero. The estimated derivative shows neither chattering nor peaking phenomenon.
Jang‐Hyun Park   +2 more
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Asymptotic development by ?-convergence

Applied Mathematics & Optimization, 1993
A description of the asymptotic development of a family of minimum problems is proposed by a suitable iteration of Γ-limit procedures. An example of asymptotic development for a family of functionals related to phase transformations is also given.
Gabriele Anzellotti, Sisto Baldo
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Asymptotic convergence results

1987
Essential to the convergence proof for the homogeneous algorithm is the fact that, under certain conditions, the stationary distribution of a homogeneous Markov chain exists. The stationary distribution is defined as the vector q whose i-th component is given by [FELL50] $${q_i} = \mathop {\lim }\limits_{k \to \infty } \Pr \{ X(k) = i|X(0) = j\} ,$$
Peter J. M. van Laarhoven   +1 more
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IDeC — Convergence independent of error asymptotics

BIT, 1987
The method of iterated defect correction [cf. \textit{R. Frank}, Numer. Math. 25, 409-419 (1976; Zbl 0346.65034) and ibid. 27, 407-420 (1977; Zbl 0366.65034)] is applied to the boundary value problem \(y''(t)=f(t,y(t))\) \(t\in (0,1)\), \(y(0)=A\), \(y(1)=B\), where \(\partial /\partial yf(t,y)\geq 0\), and analyzed for efficient and highly accurate ...
Auzinger, W., Monnet, J. P.
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Asymptotic Convergence in Quantum Scattering Theory

Journal of Computational Methods in Sciences and Engineering, 2001
The key problem in quantum scattering theory is the probability conservation, i.e., the unitarity of the S-matrix, which connects the initial with the final state of evolution of the considered physical system. This problem is not possible to solve if the scattering states neglect the so-called asymptotic convergence problem, which require that the ...
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