Results 41 to 50 of about 223,993 (286)

On the Accuracy of Some Absorbing Boundary Conditions for the Schrodinger Equation

Mathematical Modelling and Analysis, 2017
A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presented in this paper. It is focused on absorbing boundary conditions that are obtained by using rational functions to approximate the exact transparent ...
Andrej Bugajev, Raimondas Čiegis, Rima Kriauzienė, Teresė Leonavičienė, Julius Žilinskas   +4 more
doaj   +1 more source

On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Математичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn, C. Cesarano, O. Kondur, I.-A. Lutsiv   +3 more
doaj   +1 more source

Parameter optimization of orthonormal basis functions for efficient rational approximations

, 2015
International audienceIn this paper, the authors present an efficient procedure for optimal placement of poles in rational approximations by Müntz-Laguerre functions. The technique is formulated as the minimization of a quadratic criterion and the linear
Cloastre, Pascale, Iassamen, Nadia, Tanguy, Noël, Telescu, Mihai   +3 more
core   +3 more sources

Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra [PDF]

, 2010
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it.
Baldoni, Velleda, Berline, Nicole, De Loera, Jesús A., Köppe, Matthias, Vergne, Michèle   +4 more
core   +1 more source

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

FEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas, Porter L. Tomsick, Alicia M. Pickrell, Paul D. Morton   +3 more
wiley   +1 more source

Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$

Математичні Студії
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn, C. Cesarano, I.-A. Lutsiv, M. Dmytryshyn   +3 more
doaj   +1 more source

On Sequences, Rational Functions and Decomposition

, 2015
Our overall goal is to unify and extend some results in the literature related to the approximation of generating functions of finite and infinite sequences over a field by rational functions. In our approach, numerators play a significant role.
Norton, Graham H.
core   +1 more source

Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes [PDF]

, 2012
We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise.
A. Bouard de, A. Debussche, A. Debussche, A. Pazy, C.M. Elliott, E. Hausenblas, E. Hausenblas, Fredrik Lindgren, G. Prato Da, G. Prato Da, G.A. Baker, J. Weidmann, J.B. Walsh, L. Quer-Sardanyons, M. Geissert, M. Kovács, M. Kovács, M.N. Le Roux, Mihály Kovács, P. Brenner, P.D. Lax, S. Larsson, S.P. Nørsett, Stig Larsson, V. Thomée, Z. Brzeźniak   +25 more
core   +2 more sources

Next‐generation proteomics improves lung cancer risk prediction

Molecular Oncology, EarlyView.
This is one of very few studies that used prediagnostic blood samples from participants of two large population‐based cohorts. We identified, evaluated, and validated an innovative protein marker model that outperformed an established risk prediction model and criteria employed by low‐dose computed tomography in lung cancer screening trials.
Megha Bhardwaj, Clara Frick, Ben Schöttker, Bernd Holleczek, Hermann Brenner   +4 more
wiley   +1 more source

On Analytical Continuation of the Horn’s Hypergeometric Functions H₃ and Their Ratios

Axioms
This paper considers the Horn’s hypergeometric function H3, which is closely related to other hypergeometric functions and has various mathematical or physical applications.
Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun   +2 more
doaj   +1 more source