TY - BOOK ID - 67745930 TI - Exponential fitting. AU - Ixaru, Liviu Gr. AU - Vanden Berghe, Guido. PY - 2004 SN - 1402020996 1402021003 PB - Dordrecht Kluwer Academic Publishers DB - UniCat KW - Curve fitting. KW - Curve fitting KW - 519.62 KW - 519.65 KW - 681.3*G12 KW - 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) KW - Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) KW - 519.62 Numerical methods for solution of ordinary differential equations KW - Numerical methods for solution of ordinary differential equations KW - 519.65 Approximation. Interpolation KW - Approximation. Interpolation KW - Fitting, Curve KW - Numerical analysis KW - Least squares KW - Smoothing (Numerical analysis) KW - Statistics KW - Graphic methods KW - Computer mathematics. KW - Mathematical physics. KW - Algorithms. KW - Numerical analysis. KW - Chemistry, Physical and theoretical. KW - Computational Mathematics and Numerical Analysis. KW - Theoretical, Mathematical and Computational Physics. KW - Numeric Computing. KW - Theoretical and Computational Chemistry. KW - Chemistry, Theoretical KW - Physical chemistry KW - Theoretical chemistry KW - Chemistry KW - Mathematical analysis KW - Algorism KW - Algebra KW - Arithmetic KW - Physical mathematics KW - Physics KW - Computer mathematics KW - Electronic data processing KW - Mathematics KW - Foundations UR - https://www.unicat.be/uniCat?func=search&query=sysid:67745930 AB - Exponential Fitting is a procedure for an efficient numerical approach of functions consisting of weighted sums of exponential, trigonometric or hyperbolic functions with slowly varying weight functions. This book is the first one devoted to this subject. Operations on the functions described above like numerical differentiation, quadrature, interpolation or solving ordinary differential equations whose solution is of this type, are of real interest nowadays in many phenomena as oscillations, vibrations, rotations, or wave propagation. The authors studied the field for many years and contributed to it. Since the total number of papers accumulated so far in this field exceeds 200 and the fact that these papers are spread over journals with various profiles (such as applied mathematics, computer science, computational physics and chemistry) it was time to compact and to systematically present this vast material. In this book, a series of aspects is covered, ranging from the theory of the procedure up to direct applications and sometimes including ready to use programs. The book can also be used as a textbook for graduate students. ER -