Results 11 to 20 of about 531,187 (203)
An explicit exponential time integrator based on Faber polynomials and its application to seismic wave modelling [PDF]
arXiv.org, 2022 Exponential time integrators have been applied successfully in several physics-related differential equations. However, their application in hyperbolic systems with absorbing boundaries, like the ones arising in seismic imaging, still lacks theoretical ...
Fernando V. Ravelo +2 more
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Analytical shape recovery of a conductivity inclusion based on Faber polynomials [PDF]
Mathematische Annalen, 2020 A conductivity inclusion, inserted in a homogeneous background, induces a perturbation in the background potential. This perturbation admits a multipole expansion whose coefficients are the so-called generalized polarization tensors (GPTs).
D. Choi, Junbeom Kim, Mikyoung Lim
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Faber polynomials estimates for bi-univalent functions of complex order involving q-derivative
Mathematics and Systems Science, 2023 In this paper, we define a new subclass of bi-univalent functions of complex order which is defined by subordination in the open unit disc D by using operator. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients
Z. M. Saleh, A. O. Mostafa, S. Madian
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Journal of Mathematics, 2021 In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured
Hameed Ur Rehman +2 more
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Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials
Electronic Transactions on Numerical Analysis, 2021 We introduce a new polynomial preconditioner for solving the discretized Helmholtz equation preconditioned with the complex shifted Laplace (CSL) operator.
L. G. Ramos, O. Sète, R. Nabben
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Explicit Faber Polynomials on Circular Sectors [PDF]
Mathematics of Computation, 1992 We present explicit and precise expressions for the Faber polynomials on circular sectors up to degree 20. The precision is obtained by modifying (and simultaneously speeding up) an algorithm of Coleman and Smith so that an essential part of the Faber polynomials can be represented using only rational numbers.
Gatermann, Karin +2 more
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The Faber polynomials for circular sectors [PDF]
Mathematics of Computation, 1987 The Faber polynomials for a region of the complex plane, which are of interest as a basis for polynomial approximation of analytic functions, are determined by a conformal mapping of the complement of that region to the complement of the unit disc. We derive this conformal mapping for a circular sector { z :
Coleman, John P., Smith, Russell A.
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Sharp inequalities for coherent states and their optimizers
Advanced Nonlinear Studies, 2023 We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
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The Faber Polynomials for Annular Sectors [PDF]
Mathematics of Computation, 1995 A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a variety of contexts, including the construction of semiiterative methods for linear equations.
Coleman, John P., Myers, Nick J.
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
Mathematics, 2023 A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
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