Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions.
As such, numerical mathematics is the crossroad of several disciplines of great relevance in...
Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several field...
The origins of this book go back more than twenty years when, funded by small grants from the European Union, the control theory groups from the universities of Bremen and Warwick set out to develop a course in ?nite dimensional systems t- ory suitable for students with a mathematical background, who had taken courses in Analysis, Linear Algebra and Di?erential Equations. Various versions of the course were given to undergraduates at Bremen and Warwick and a set of lecture notes was produced entitled "Introduction to Mathematical Systems Theory." As well as ourselves, the main contributors to...
The origins of this book go back more than twenty years when, funded by small grants from the European Union, the control theory groups from the unive...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value...
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE,...
Focuses on time dependent growth coefficients and carrying capacities. This book examines the topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction. It includes more than 50 "illustrations" of the application of a particular framework or model based on real world problems.
Focuses on time dependent growth coefficients and carrying capacities. This book examines the topics of discrete and distributed time delays, spatial-...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation. Prerequisites...
Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginnin...
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical...
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework em...
This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The...
This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students ...
