Suchergebnisse - "Approximation by rational functions"

Time-Domain Iterative Rational Krylov Method: Time-domain iterative rational Krylov method

Autoren: Michael S. Ackermann Serkan Gugercin

Quelle: SIAM Journal on Scientific Computing. 47:A1628-A1651

Schlagwörter: data informativity, optimal data-driven modeling, Numerical linear algebra, eigenvalues, rational interpolation, Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, Approximation by rational functions, Large-scale systems, Realizations from input-output data, Computational methods for problems pertaining to systems and control theory, FOS: Mathematics, transfer function, Mathematics - Numerical Analysis, Frequency-response methods in control theory

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2407.12670

Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity: Frequency-based reduced models from purely time-domain data via data informativity

Autoren: Michael S. Ackermann Serkan Gugercin

Quelle: SIAM Journal on Scientific Computing. 47:A1225-A1250

Schlagwörter: data informativity, Numerical linear algebra, moment matching, rational interpolation, Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, Approximation by rational functions, data-driven modeling, Large-scale systems, Realizations from input-output data, Computational methods for problems pertaining to systems and control theory, FOS: Mathematics, transfer function, Mathematics - Numerical Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.05012
https://zbmath.org/8030731
https://doi.org/10.1137/23m1624130

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios

Autoren: Ivan Nyzhnyk Roman Dmytryshyn Tamara Antonova

Quelle: Modern Mathematical Methods, Vol 3, Iss 1 (2025)

Schlagwörter: recurrence relation, branched continued fraction, QA1-939, approximation by rational functions, hypergeometric function, Mathematics

Zugangs-URL: https://doaj.org/article/64a5c32f77de42f7b2b58137496ffeec

The enriched multinode Shepard collocation method for solving elliptic problems with singularities

Autoren: Dell'Accio F. Di Tommaso F. Francomano E.

Quelle: Applied Numerical Mathematics. 205:87-100

Schlagwörter: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, approximation by rational functions, multinode Shepard method, Elliptic PDEs, elliptic PDEs, Asymptotic expansions of solutions to PDEs, Approximation by rational functions, Motz problem, Approximation by polynomials, collocation method, Numerical interpolation, Multinode Shepard method, Spectral, collocation and related methods for boundary value problems involving PDEs, Collocation method

Dateibeschreibung: application/xml

A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios

Autoren: R.I. Dmytryshyn C. Cesarano M. Dmytryshyn et al.

Quelle: Researches in Mathematics, Vol 33, Iss 1, Pp 13-22 (2025)

Schlagwörter: hypergeometric function, branched continued fraction, analytic functions, approximation by rational functions, convergence, rate of convergence, analytic continuation, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://vestnmath.dnu.dp.ua/index.php/rim/article/view/450/450; https://doaj.org/toc/2664-4991; https://doaj.org/toc/2664-5009

Zugangs-URL: https://doaj.org/article/05c226d354ec4a43863e18d256d48a75

Shape preserving aspects of a novel class of bi-cubic partially blended rational zipper fractal interpolation surfaces

Autoren: null Vijay A. K. B. Chand

Quelle: The Journal of Analysis. 32:3475-3505

Schlagwörter: Approximation by rational functions, Fractals, blending functions, fractals, rational cubic spline, Numerical smoothing, curve fitting, zipper smooth fractal functions, Rate of convergence, degree of approximation, monotonicity, Real rational functions

Dateibeschreibung: application/xml

Zipper rational fractal interpolation functions

Autoren: R. Pasupathi null Vijay A. K. B. Chand et al.

Quelle: The Journal of Analysis. 32:3197-3226

Schlagwörter: Approximation by rational functions, Fractals, convexity, positivity, Numerical interpolation, rational cubic spline, zipper, fractal interpolation function, monotonicity, Interpolation in approximation theory, Real rational functions, Numerical computation using splines

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7965080
https://doi.org/10.1007/s41478-024-00796-3

Rational approximation of holomorphic semigroups revisited

Autoren: Batty, C Gomilko, A Tomilov, Y

Quelle: Journal of the London Mathematical Society. 111

Schlagwörter: Functional calculus for linear operators, Mathematics - Functional Analysis, Approximation by rational functions, Groups and semigroups of linear operators, Mathematics - Analysis of PDEs, Numerical solutions to abstract evolution equations, FOS: Mathematics, Rate of convergence, degree of approximation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Approximation in the complex plane, Functional Analysis (math.FA), Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2403.15894

The enriched multinode Shepard collocation method for solving elliptic problems with singularities

Autoren: Francomano, E

Schlagwörter: Approximation by rational functions, Motz problem, Settore MAT/08 - Analisi Numerica, Approximation by rational functions, Multinode Shepard method, Collocation method, Elliptic PDEs, Motz problem, Multinode Shepard method, Elliptic PDEs, Collocation method

Zugangs-URL: https://hdl.handle.net/10447/649893

Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains

Autoren: Francomano, E

Schlagwörter: Approximation by rational functions, Settore MAT/08 - Analisi Numerica, Approximation by rational functions, Multinode Shepard method, Collocation method, Elliptic PDEs, Multinode Shepard method, Elliptic PDEs, Settore MATH-05/A - Analisi numerica, Collocation method

Zugangs-URL: https://hdl.handle.net/10447/631693

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

Autoren: R. Dmytryshyn C. Cesarano I.-A. Lutsiv et al.

Quelle: Математичні Студії, Vol 61, Iss 1, Pp 51-60 (2024)

Schlagwörter: branched continued fraction, horn hypergeometric function, QA1-939, approximation by rational functions, roundoff error, 0101 mathematics, 01 natural sciences, Mathematics

Zugangs-URL: https://doaj.org/article/b62bf244ae684cfb800948e4ca457e92

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Autoren: Y. Lutsiv T. Antonova R. Dmytryshyn et al.

Quelle: Researches in Mathematics, Vol 32, Iss 2, Pp 115-132 (2024)

Schlagwörter: hypergeometric function, branched continued fraction, approximation by rational functions, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://vestnmath.dnu.dp.ua/index.php/rim/article/view/436/436; https://doaj.org/toc/2664-4991; https://doaj.org/toc/2664-5009

Zugangs-URL: https://doaj.org/article/f67b2afb458f4bc798e68b7d242c4486

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

Autoren: Roman Dmytryshyn Tamara Antonova Sofiia Hladun

Quelle: Axioms ; Volume 14 ; Issue 1 ; Pages: 67

Schlagwörter: hypergeometric function, branched continued fraction, analytical continuation, convergence, approximation by rational functions

Dateibeschreibung: application/pdf

Relation: Mathematical Analysis; https://dx.doi.org/10.3390/axioms14010067

Verfügbarkeit: https://doi.org/10.3390/axioms14010067

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios

Autoren: Nyzhnyk, Ivan Dmytryshyn, Roman Antonova, Tamara

Quelle: Modern Mathematical Methods; Vol. 3 No. 1 (2025); 1-13 ; Journal of Modern Mathematical Methods; Cilt 3 Sayı 1 (2025); 1-13 ; 3023-5294

Schlagwörter: hypergeometric function, recurrence relation, branched continued fraction, approximation by rational functions

Dateibeschreibung: application/pdf

Relation: https://modernmathmeth.com/index.php/pub/article/view/52/26; https://modernmathmeth.com/index.php/pub/article/view/52

Verfügbarkeit: https://modernmathmeth.com/index.php/pub/article/view/52

Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems

Autoren: Ion Victor Gosea Serkan Gugercin Steffen W. R. Werner

Quelle: Advances in Computational Mathematics

Schlagwörter: 0209 industrial biotechnology, second-order systems, rational functions, Systems and Control (eess.SY), Dynamical Systems (math.DS), 02 engineering and technology, Electrical Engineering and Systems Science - Systems and Control, 01 natural sciences, Approximation by rational functions, Numerical interpolation, Realizations from input-output data, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, barycentric forms, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - Optimization and Control, Numerical Analysis (math.NA), interpolation, reduced-order modeling, data-driven modeling, Linear systems in control theory, Optimization and Control (math.OC), Frequency-response methods in control theory, 41A20, 65D05, 93B15, 93C05, 93C80

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2303.12576
http://hdl.handle.net/21.11116/0000-000C-D2F1-6
http://hdl.handle.net/21.11116/0000-000C-D2F3-4
http://hdl.handle.net/21.11116/0000-000F-32C1-E

On Analytical Extension of Generalized Hypergeometric Function 3F2

Autoren: Roman Dmytryshyn Volodymyra Oleksyn

Quelle: Axioms, Vol 13, Iss 11, p 759 (2024)

Schlagwörter: generalized hypergeometric function, branched continued fraction, analytical continuation, convergence, approximation by rational functions, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://www.mdpi.com/2075-1680/13/11/759; https://doaj.org/toc/2075-1680

Zugangs-URL: https://doaj.org/article/ec0b2a319d2b499387ed02c351ed4601

Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains

Autoren: Francesco Dell'Accio Filomena Di Tommaso Elisa Francomano

Weitere Verfasser: Francesco Dell'Accio Filomena Di Tommaso Elisa Francomano

Schlagwörter: Approximation by rational functions, Multinode Shepard method, Collocation method, Elliptic PDEs, Settore MAT/08 - Analisi Numerica, Settore MATH-05/A - Analisi numerica

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001224786200001; volume:448; numberofpages:35; journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; https://hdl.handle.net/10447/631693

Verfügbarkeit: https://hdl.handle.net/10447/631693
https://doi.org/10.1016/j.cam.2024.115896

On the analytic extension of the Horn's hypergeometric function $H_4$ ; Про аналітичне розширення гіпергеометричної функції Горна $H_4$

Autoren: Dmytryshyn, R. Lutsiv, I.-A. Dmytryshyn, M.

Quelle: Carpathian Mathematical Publications; Vol. 16 No. 1 (2024); 32-39 ; Карпатські математичні публікації; Том 16 № 1 (2024); 32-39 ; 2313-0210 ; 2075-9827

Schlagwörter: branched continued fraction, Horn hypergeometric function, approximation by rational functions, convergence, analytic continuation, гіллястий ланцюговий дріб, гіпергеометрична функція Горна, апроксимація раціональними функціями, збіжність, аналітичне продовження

Dateibeschreibung: application/pdf; text/html

Relation: https://journals.pnu.edu.ua/index.php/cmp/article/view/8233/8337; https://journals.pnu.edu.ua/index.php/cmp/article/view/8233/8346; https://journals.pnu.edu.ua/index.php/cmp/article/view/8233

Verfügbarkeit: https://journals.pnu.edu.ua/index.php/cmp/article/view/8233
https://doi.org/10.15330/cmp.16.1.32-39

Research on the convergence of some types of functional branched continued fractions ; Дослідження збіжності деяких типів функціональних гіллястих ланцюгових дробів

Autoren: Bodnar, D.I. Bodnar, O.S. Dmytryshyn, M.V. et al.

Quelle: Carpathian Mathematical Publications; Vol. 16 No. 2 (2024); 448-460 ; Карпатські математичні публікації; Том 16 № 2 (2024); 448-460 ; 2313-0210 ; 2075-9827

Schlagwörter: branched continued fraction, convergence, approximation by rational functions, гіллястий ланцюговий дріб, збіжність, апроксимація раціональними функціями

Dateibeschreibung: application/pdf; text/html

Relation: https://journals.pnu.edu.ua/index.php/cmp/article/view/8444/8834; https://journals.pnu.edu.ua/index.php/cmp/article/view/8444/8835; https://journals.pnu.edu.ua/index.php/cmp/article/view/8444

Verfügbarkeit: https://journals.pnu.edu.ua/index.php/cmp/article/view/8444
https://doi.org/10.15330/cmp.16.2.448-460

On structure of branched continued fractions ; Про структуру гіллястих ланцюгових дробів

Autoren: Antonova, T.M.

Quelle: Carpathian Mathematical Publications; Vol. 16 No. 2 (2024); 391-400 ; Карпатські математичні публікації; Том 16 № 2 (2024); 391-400 ; 2313-0210 ; 2075-9827

Schlagwörter: branched continued fraction, holomorphic function, approximation by rational functions, гіллястий ланцюговий дріб, голоморфна функція, наближення раціональними функціями

Dateibeschreibung: application/pdf; text/html

Relation: https://journals.pnu.edu.ua/index.php/cmp/article/view/7719/8827; https://journals.pnu.edu.ua/index.php/cmp/article/view/7719/8828; https://journals.pnu.edu.ua/index.php/cmp/article/view/7719

Verfügbarkeit: https://journals.pnu.edu.ua/index.php/cmp/article/view/7719
https://doi.org/10.15330/cmp.16.2.391-400