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Numerical Methods That Work
TLDR
Part I. Fundamental Methods: The calculation of functions, Roots of transcendental equations, and the care and treatment of singularities.Abstract:
Part I. Fundamental Methods: 1. The calculation of functions 2. Roots of transcendental equations 3. Interpolation - and all that 4. Quadrature 5. Ordinary differential equations - initial conditions 6. Ordinary differential equations - boundary conditions 7. Strategy versus tactics - roots of polynomials 8. Eigenvalues I 9. Fourier series Part II. Double Trouble: 10. Evaluation of integrals 11. Power series, continued fractions, and rational approximations 12. Economization of approximations 13. Eigenvalues II - rotational methods 14. Roots of equations - again 15. The care and treatment of singularities 16. Instability in extrapolation 17. Minimum methods 18. Laplace's equation - an overview 19. Network problems.read more
Citations
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Numerical Recipes in FORTRAN - The Art of Scientific Computing - Second Edition
TL;DR: This paper presents a list of recommended recipes for making CDRom decks and some examples of how these recipes can be modified to suit theommelier's needs.
Journal ArticleDOI
Single tone parameter estimation from discrete-time observations
D. Rife,R. Boorstyn +1 more
TL;DR: Estimation of the parameters of a single-frequency complex tone from a finite number of noisy discrete-time observations is discussed and appropriate Cramer-Rao bounds and maximum-likelihood estimation algorithms are derived.
Journal ArticleDOI
The Deformation of Steep Surface Waves on Water. I. A Numerical Method of Computation
TL;DR: In this paper, the authors present a method for following the time-history of space-periodic irrotational surface waves, where the only independent variables are the coordinates and velocity potential of marked particles at the free surface at each time step an integral equation is solved for the new normal component of velocity.
Book
Fractal Physiology
William D. Deering,Bruce J. West +1 more
TL;DR: The nature of fractals and the use of fractal instead of classical scaling concepts to describe the irregular surfaces, structures, and processes exhibited by physiological systems are described in this paper.
Journal ArticleDOI
A Computational Guide to Physics of Eclipsing Binaries. I. Demonstrations and Perspectives
A. Prša,Tomaz Zwitter +1 more
TL;DR: PHOEBE (PHysics of Eclipsing BinariEs) as discussed by the authors is a modeling package for eclipsing binary stars, built on top of the widely used WD program of Wilson & Devinney.