Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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Linear Non-Modal Growth of Planar Perturbations in a Layered Couette Flow
Fluids, 2021 Layered flows that are commonly observed in stratified turbulence are susceptible to the Taylor–Caulfield Instability. While the modal stability properties of layered shear flows have been examined, the non-modal growth of perturbations has not been ...
Emmanouil G. Iliakis, Nikolaos A. Bakas
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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The Functional-Analytic Properties of the Limit q-Bernstein Operator
Journal of Function Spaces and Applications, 2012 The limit q-Bernstein operator Bq ...
Sofiya Ostrovska
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Asymptotics of approximation of functions by conjugate Poisson integrals
Karpatsʹkì Matematičnì Publìkacìï, 2020 Among the actual problems of the theory of approximation of functions one should highlight a wide range of extremal problems, in particular, studying the approximation of functional classes by various linear methods of summation of the Fourier series. In
I.V. Kal'chuk +2 more
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Crystals, 2023 The quantum statistical properties of the proton subsystem in hydrogen-bonded crystals (HBC) are investigated. Based on the non-stationary Liouville operator equation (taking into account a number of assumptions established in the experiment), a quantum ...
Valeriy Kalytka +11 more
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Iterative methods for the force-based quasicontinuum approximation : analysis of a 1D model problem [PDF]
, 2011 Force-based atomistic-continuum hybrid methods are the only known pointwise consistent methods for coupling a general atomistic model to a finite-element continuum model.
Luskin, Mitchell Barry +7 more
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Abstract Fractional Monotone Approximation with Applications
Fractal and Fractional, 2021 Here we extended our earlier fractional monotone approximation theory to abstract fractional monotone approximation, with applications to Prabhakar fractional calculus and non-singular kernel fractional calculi.
George A. Anastassiou
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How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin +2 more
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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