Journal of Computational and Applied Mathematics
Eigenfrequencies of fractal drums
Journal of Computational and Applied Mathematics
Journal of Scientific Computing
A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements
Journal of Computational Physics
Application of class Sm variable transformations to numerical integration over surfaces of spheres
Journal of Computational and Applied Mathematics
Computation of weighted capacity
Journal of Approximation Theory
ACM Transactions on Mathematical Software (TOMS)
Extended procedures for extrapolation to the limit
Journal of Computational and Applied Mathematics
Extensions of Drummond's process for convergence acceleration
Applied Numerical Mathematics
Survey of numerical stability issues in convergence acceleration
Applied Numerical Mathematics
Applied Numerical Mathematics
A short tale of long tail integration
Numerical Algorithms
Construction of bode envelopes using REP based range finding algorithms
International Journal of Automation and Computing
Definability of combinatorial functions and their linear recurrence relations
Fields of logic and computation
The extrapolated interval global optimization algorithm
Journal of Global Optimization
Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation
SIAM Journal on Scientific Computing
Spectral properties of the Dirac equation in unbounded vector potentials
Applied Numerical Mathematics
On calculating the rate of linear convergence of non-linear transformed sequences
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
SIAM Journal on Scientific Computing
Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations
Journal of Scientific Computing
On expansions in orthogonal polynomials
Advances in Computational Mathematics
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An important problem that arises in many scientific and engineering applications is that of approximating limits of infinite sequences which in most instances converge very slowly. Thus, to approximate limits with reasonable accuracy, it is necessary to compute a large number of terms, and this is in general costly. These limits can be approximated economically and with high accuracy by applying suitable extrapolation (or convergence acceleration) methods to a small number of terms. This book is concerned with the coherent treatment, including derivation, analysis, and applications, of the most useful scalar extrapolation methods. The methods it discusses are geared toward problems that commonly arise in scientific and engineering disciplines. It differs from existing books on the subject in that it concentrates on the most powerful nonlinear methods, presents in-depth treatments of them, and shows which methods are most effective for different classes of practical nontrivial problems; it also shows how to fine-tune these methods to obtain the best numerical results. This state-of-the-art reference on the theory and practice of extrapolation methods will interest mathematicians interested in the theory of the relevant methods as well as giving applied scientists and engineers a practical guide to applying speed-up methods in the solution of difficult computational problems. Avram Sidi is Professor is Numerical Analysis in the Computer Science Department at the Technion-Israel Institute of Technology and holds the Technion Administration Chair in Computer Science. He has published extensively in various areas of numerical analysis and approximation theory and in journals such as Mathematics of Computation, SIAM Review, SIAM Journal on Numerical Analysis, Journal of Approximation Theory, Journal of Computational and Applied Mathematics, Numerische Mathematik, and Journal of Scientific Computing. Professor Sidi's work has involved the development of novel methods, their detailed mathematical analysis, design of efficient algorithms for their implementation, and their application to difficult practical problems. His methods and algorithms are successfully used in various scientific and engineering disciplines.