Keyword

rational approximation

Description: Approximation of functions or other mathematical objects using ratios of polynomials, studied in approximation theory and numerical analysis.

Primary topic: Mathematical functions and polynomials (30%)

OpenAlex ID: keywords/rational-approximation

Rational approximation of frequency domain responses by vector fitting

1999 · B. Gustavsen, A. Semlyen · IEEE Transactions on Power Delivery · 3,291

Introduction to Approximation Theory

1969 · Theodore Rivlin, E. W. Cheney · Mathematics of Computation · 2,035

Interpolation and Approximation by Rational Functions in the Complex Domain

1935 · J. Walsh · Colloquium Publications - American Mathematical Society/Colloquium Publications · 1,242

An Introduction to Diophantine Approximation.

1958 · John C. Brixey, J. W. S. Cassels · American Mathematical Monthly · 1,160

Approximation of functions

2017 · CRC Press eBooks · 1,155

Essentials of Pade approximants

1975 · George A. Baker · 1,023

Rational approximations of the integral of the Arrhenius function

1977 · G. I. Senum, R. T. Yang · Journal of Thermal Analysis and Calorimetry · 800

Improving the Pole Relocating Properties of Vector Fitting

2006 · B. Gustavsen · IEEE Transactions on Power Delivery · 758

Is Gauss Quadrature Better than Clenshaw–Curtis?

2008 · Lloyd N. Trefethen · SIAM Review · 632

Analogue Realizations of Fractional-Order Controllers

2002 · I. Podlubny, I. Petráš, et al. · Nonlinear Dynamics · 629

Rational approximations to algebraic numbers

1955 · K. F. Roth · Mathematika · 589

The Theory of Subnormal Operators

1991 · John Conway · Mathematical surveys and monographs · 574

Padé-Type Approximation and General Orthogonal Polynomials

1980 · Claude Brezinski · International series of numerical mathematics · 556

Interpolation and approximation by rational functions in the complex domain

1936 · Helly · Monatshefte für Mathematik · 553

PDF

The Exponentially Convergent Trapezoidal Rule

2014 · Lloyd N. Trefethen, J. A. C. Weideman · SIAM Review · 546

Numerical Methods that Work

1972 · J. N. L., Forman S. Acton · Mathematics of Computation · 526

Nonlinear prediction of chaotic time series using support vector machines

2002 · S. Mukherjee, E. Osuna, et al. · 524

Incorporation of attenuation into time-domain computations of seismic wave fields

1987 · Helga Emmerich, Michael Korn · Geophysics · 523

Optimized computation of the voigt and complex probability functions

1982 · J. Humlíček · Journal of Quantitative Spectroscopy and Radiative Transfer · 496

Rational Approximations and Orthogonality

1991 · E. Nikishin, V. Sorokin · Translations of mathematical monographs · 471

Adaptive IIR Filtering in Signal Processing and Control

2018 · Phillip A. Regalia · Routledge eBooks · 420

The AAA Algorithm for Rational Approximation

2018 · Yuji Nakatsukasa, Olivier Sète, et al. · SIAM Journal on Scientific Computing · 418

PDF

Sur la représentation approchée d'une fonction par des fractions rationnelles

1892 · H. Padé · Annales Scientifiques de l École Normale Supérieure · 405

PDF

Enforcing passivity for admittance matrices approximated by rational functions

2001 · B. Gustavsen, A. Semlyen · IEEE Transactions on Power Systems · 384

Time Domain Flutter and Buffeting Response Analysis of Bridges

2000 · Xinzhong Chen, Masaru Matsumoto, et al. · Journal of Engineering Mechanics · 341

Works count: 7,755

Citation count: 88,870