Suchergebnisse - "Journal of numerical analysis and approximation theory"
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Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, …”
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Two step Steffensen-type methods with or without memory for nondifferentiable equations
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 03.10.2025Veröffentlicht in Journal of numerical analysis and approximation theory (03.10.2025)“… A wide range of applications emerging from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean …”
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3
Reconstruction inversion formulas for the Laguerre Gabor transform
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 20.09.2025Veröffentlicht in Journal of numerical analysis and approximation theory (20.09.2025)“… In this paper, we define and study the Gabor transform in the context of the Laguerre hypergroup. We prove some of its basic properties, such as Plancherel …”
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Laurent operator-based representation of discrete solutions in the Newmark scheme with non-homogeneous terms
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 19.09.2025Veröffentlicht in Journal of numerical analysis and approximation theory (19.09.2025)“… This paper investigates representation results for second-order evolution equations arising in structural dynamics, discretized using the Newmark time …”
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Modified adaptive quadrature by expansion for Laplace and Helmholtz layer potentials in 2D
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 16.09.2025Veröffentlicht in Journal of numerical analysis and approximation theory (16.09.2025)“… An adaptive algorithm based on quadrature by expansion (QBX) is proposed for computing layer potentials at target points near or on a smooth boundary in …”
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On the coordinate system-dependence of the accuracy of symplectic numerical methods
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 11.09.2025Veröffentlicht in Journal of numerical analysis and approximation theory (11.09.2025)“… Symplectic numerical methods have become a widely-used choice for the accurate simulation of Hamiltonian systems in various fields, including celestial …”
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Applications of the theory of generalized Fourier transforms to Tikhonov problems
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… We define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions. We …”
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A comparative study on balanced truncation and projection onto the dominant eigenspace of the Gramian using Laguerre functions
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… This paper presents a comparative analysis of two model reduction techniques: balanced truncation and projection onto the dominant eigenspace of the Gramian …”
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Products of parametric extensions: refined estimates
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… We present point wise estimates on approximation by bounded linear operators of real-valued continuous functions defined on the cartesian product of d compact …”
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10
Lebesgue constants for Cantor sets. Numerical results
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… We analyze numerically the form of Lebesgue functions and the values of Lebesgue constants in polynomial interpolation for three types of Cantor sets …”
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A simplified homotopy perturbation method for solving nonlinear ill-posed operator equations in Hilbert spaces
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… One popular regularization technique for handling both linear and nonlinear ill-posed problems is homotopy perturbation. In order to solve nonlinear ill-posed …”
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Upper and lower solution method for control of second-order Kolmogorov type systems
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… In this paper, an upper and lower solution method for the control of second-order Kolmogorov systems is introduced. Two iterative algorithms, one exact and one …”
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A stable finite difference scheme for fractional viscoelastic wave propagation in space-time domain
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… This work focuses on the numerical approximation of the one dimensional wave propagation equation in a viscoelastic medium modelled by the fractional Zener …”
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Stability of piecewise flat Ricci flow in three dimensions
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… For a recently developed piecewise flat approximation of the Ricci flow, numerical instabilities are seen to arise for a particularly useful class of …”
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A numerical approach for singularly perturbed parabolic reaction-diffusion problem on a modified graded mesh
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… This paper addresses the numerical approximations of solutions for one dimensional parabolic singularly perturbed problems of reaction-diffusion type. The …”
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Convergence analysis of iterative compositions in nonlinear modeling: exploring semilocal and local convergence phenomena
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… In this work, a comprehensive analysis of a multi-step iterative composition for nonlinear equation is performed, providing insights into both local and …”
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ATM transaction simulation: combination of ACDs and cox process
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… Two main approaches for analyzing the ultra-frequency data such as ATM (auto teller machine) transaction are Cox process and autoregressive conditional …”
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Some simple full-range inverse-normal approximations
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 30.06.2025Veröffentlicht in Journal of numerical analysis and approximation theory (30.06.2025)“… Two approximations are given for numerically inverting the full range of the standard normal cumulative distribution function. The first approximation has two …”
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General multivariate arctangent function activated neural network approximations
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 17.09.2022Veröffentlicht in Journal of numerical analysis and approximation theory (17.09.2022)“… Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in …”
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A numerical study of an infeasible interior-point algorithm for convex quadratic semi-definite optimization
ISSN: 2457-6794, 2501-059XVeröffentlicht: Publishing House of the Romanian Academy 18.12.2024Veröffentlicht in Journal of numerical analysis and approximation theory (18.12.2024)“… The focus of this research is to apply primal-dual interior-point pathfollowing methods, specifically those derived from Newton’s method for solving convex …”
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