Studies in Applied and Numerical Mathematics – serie
Visar alla böcker i serien Studies in Applied and Numerical Mathematics. Handla med fri frakt och snabb leverans.
4 produkter
4 produkter
1 348 kr
Skickas inom 5-8 vardagar
A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator splitting methods such as alternating methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics.This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator splitting methods (coupled to finite element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods traditionally used to study them. These ideas are then applied to specific classes of mechanical problems.
806 kr
Tillfälligt slut
This is one of the first texts in which electro-diffusion of ions in its different aspects is considered as a unified subject. As a subject it is relevant to understanding the behavior of apparently different physical objects such as electrolyte solution, ion-exchangers, ion-selective membranes, and semiconductors. This text treats a selection of topics in electro-diffusion of ions in an aqueous medium - a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field.It is intended to enhance the understanding of particular electro-diffusional transport phenomena and to spark the interest of the mathematical community in the corresponding area of applications and development of a unified scientific vision. Contains some previously unpublished results for electro-diffusional problems.
871 kr
Tillfälligt slut
A crucial stability condition in linear viscoelasticity is that the Fourier cosine transform of the stress relaxation modulus be positive definite. The subject of this book is the derivation of this condition from thermodynamics and its implications for the mathematical analysis of the equations of linear viscoelasticity.The authors investigate the connection between thermodynamic restrictions and well-posedness of initial and boundary value problems. A thorough thermodynamic analysis of linear viscoelasticity is included. New results are established and previous ones are shown to follow as particular cases from the general scheme. The authors demonstrate that significant improvements can be obtained in existence, uniqueness, and asymptotic stability theorems by starting from the thermodynamic restrictions as mathematical hypotheses for the initial boundary value problems.Describes general mathematical modeling of viscoelastic materials as systems with fading memory.Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation.Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles.Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.Royalties from the sale of this book are contributed to the SIAM Student Travel fund.
1 354 kr
Tillfälligt slut
Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path-following and potential reduction interior point polynomial time methods, interior point methods, interior point methods for linear and quadratic programming, polynomial time methods for nonlinear convex programming, efficient computation methods for control problems and variational inequalities, and acceleration of path-following methods are covered.The authors describe the first unified theory of polynomial-time interior-point methods. Their approach provides a simple and elegant framework in which all known polynomial-time interior-point methods can be explained and analyzed. This approach yields polynomial-time interior-point methods for a wide variety of problems beyond the traditional linear and quadratic programs.The book contains new and important results in the general theory of convex programming, e.g., their ""conic"" problem formulation in which duality theory is completely symmetric. For each algorithm described, the authors carefully derive precise bounds on the computational effort required to solve a given family of problems to a given precision. In several cases they obtain better problem complexity estimates than were previously known. Several of the new algorithms described in this book, e.g., the projective method, have been implemented, tested on ""real world"" problems, and found to be extremely efficient in practice.Special Features:The developed theory of polynomial methods covers all approaches known so far.Presents detailed descriptions of algorithms for many important classes of nonlinear problems.