偏微分方程的数值近似法
This is a book on the numerical approximation of partial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods out their stability and convergence analysi
This is a book on the numerical approximation of partial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods out their stability and convergence analysi
Partial differential equations is a many-faceted subject.Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds,it has developed into a body of material tha
Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to m
Following Keller [119] we call two problems inverse to each other if the formulation of each of them requires full or partial knowledge of the other. By this definition, it is obviously arbitrary whic
One of the most remarkable examples of fast technology transfer from new developments in mathematical probability theory to applied statistical methodology is the use of counting processes, martingale
As in ordinary language, metaphors may be used in mathematics to explain agiven phenomenon by associating it with another which is (or is considered tobe) more familiar. It is this sense of familiarit
The first edition of this book entitled Analysis on Riemannian Manifolds and Some Problems of Mathematical Physics was published by Voronezh University Press in 1989. For its English edition, the book
An appropriate coverage of the subjects contained in the five parts of this book would need several monographs. We hope that the global treatment presented here may emphasize some of their deep intera
This book is the result of lecture courses on algebraic topology given by the author at the University of Manchester in 1967-1970, at Cornell University in 1970-1971 and at the Georg August University
This book aims to fill the need for a comprehensive treatise on geo-metric measure theory. It contains a detailed exposition leading from the foundations of the theory to the most recent discoveries,
The present book includes a comprehensive treatment of dimensional analysis. rhere is a full discussion of aspects of Lie groups of point transformations (point symmetries), contact symmetries, and hi
本书是根据作者在Sophia大学、Hokkaido大学、Tohoku大学、Tokyo Metropolitan大学和Tsukuba大学的讲义整理而成,主旨是系统介绍概率论中马尔可夫过程构造问题的现代分析方法,即将马尔可夫过程的构造归结为研究二阶