The Complexity of Approximating the Matching Polynomial in the Complex Plane [PDF]
ACM Transactions on Computation Theory, 2021 We study the problem of approximating the value of the matching polynomial on graphs with edge parameter γ, where γ takes arbitrary values in the complex plane. When γ is a positive real, Jerrum and Sinclair showed that the problem admits an FPRAS on general graphs.
Bezáková, Ivona +3 more
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Sparse Plane Wave Approximation of Acoustic Modes to Address Basis Mismatch
Applied Sciences, 2022 Low-frequency sound field reconstruction in an enclosed space has many applications where the plane wave approximation of acoustic modes plays a crucial role.
Jian Xu +3 more
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The complexity of approximating the complex-valued Potts model [PDF]
, 2021 We study the complexity of approximating the partition function of the $q$-state Potts model and the closely related Tutte polynomial for complex values of the underlying parameters.
Galanis, Andreas +2 more
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Weighted polynomial approximation in the complex plane [PDF]
Electronic Research Announcements of the American Mathematical Society, 1997 Given a pair ( G , W ) (G,W) of an open bounded set G G in the complex plane and a weight function W ( z ) W(z) which is analytic and different from zero in G G , we consider the problem of the locally uniform ...
Pritsker, Igor E., Varga, Richard S.
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
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Approximation by Rational Functions in Variable Exponent Morrey–Smirnov Classes
Journal of Mathematics, 2022 In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.
Ahmed Kinj
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The GW/BSE Method in Magnetic Fields
Frontiers in Chemistry, 2021 The GW approximation and the Bethe–Salpeter equation have been implemented into the Turbomole program package for computations of molecular systems in a strong, finite magnetic field.
Christof Holzer +3 more
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Linear Chebyshev Approximation in the Complex Plane Using Lawson's Algorithm [PDF]
Mathematics of Computation, 1976 In this paper we discuss the application of Lawson’s algorithm for computing best linear Chebyshev approximations to complex-valued functions. Some numerical examples are also presented.
Ellacott, S., Williams, Jack
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On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Axioms, 2022 This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
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