This second edition of the popular "A Multigrid Tutorial" preserves the introductory spirit of the first edition, while roughly doubling the amount of material covered. The topics of the first edition have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics in the second edition include nonlinear ......
Explores spectral methods built around MATLAB programmes. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of ......
"Iterative Solution of Nonlinear Equations in Several Variables" provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal result known at that time. ......
This work contains a unique description of the nonholonomic motion of systems of rigid bodies by differential algebraic systems. "Nonholonomic Motion of Rigid Mechanical Systems From a DAE Viewpiont" focuses on rigid body systems subjected to kinematic constraints (constraints that depend on the velocities of the bodies, eg. as they arise for ......
Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential ......
An introduction to both regular and singular perturbation methods for algebraic and differential equations. It distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a ......
Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modelling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the ......
Designed for those people who want to gain a practical knowledge of modern techniques, this book contains the material necessary to teach a first course on the numerical solution of differential equations. It provides a unified presentation of initial-value and boundary-value problems in ODEs as well as differential-algebraic equations. The ......
Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, ......
