General explicit difference formulas for numerical differentiation

TL;DR: The fifth edition of "Numerical Methods for Engineers" continues its tradition of excellence and expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering.

TL;DR: The numerical results show that the proposed continuous genetic algorithm is a robust and accurate procedure for solving systems of second-order boundary value problems and the obtained accuracy for the solutions using CGA is much better than the results obtained using some modern methods.

TL;DR: EDMA as mentioned in this paper is a computer program for topological analysis of discrete electron densities according to Bader's theory of atoms in molecules, which locates critical points of the electron density and calculates their principal curvatures.

TL;DR: In this paper, a theory and practice for the estimation of functions from noisy data on functionals is developed, where convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework.

TL;DR: This book discusses ODEs, Partial Differential Equations, Fourier Series, Integrals, and Transforms, and Numerics for ODE's and PDE's, as well as numerical analysis and potential theory, and more.

TL;DR: This study investigates the effects of underground structures on wave propagation and surface ground acceleration, employing a nonlinear cyclic model to analyze the impact of input motion, embedment, and dimensions on spectral ratio, peak ground acceleration, and relative displacement under near-fault and far-fault earthquakes.

TL;DR: This second edition has been updated and expanded to cover recent developments in applications and theory, including an elegant NP completeness argument by Uwe Naumann and a brief introduction to scarcity, a generalization of sparsity.