Bøger i Numerical Analysis 2000 serien

Interpolation was the first technique for obtaining an approximation of a function. Extrapolation is used in numerical analysis to improve the accuracy of a process depending of a parameter or to accelerate the convergence of a sequence. This book focuses on the two closely related subjects: interpolation and extrapolation.

Helps potential users in choosing appropriate software for the problems they need to solve. This volume includes review articles that provide both researchers and practitioners with snapshots of the development with regard to algorithms for particular classes of problem.

Contains contributions in the area of differential equations and integral equations. This volume studies the problem of establishing upper bounds for the norm of the nth power of square matrices. It discusses the numerical methods for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems.

Reviews the history of numerical analysis of PDEs. This volume explores the formulation of the concept of stability in the Lax equivalence theorem and the Kreiss matrix lemmas. It describes, spline collocation methods, spectral methods and wavelet methods.