Numerical analysis

Scientific Computation has established itself as a stand-alone area of knowledge at the borderline between computer science and applied mathematics.

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations.

Inverse problems arise in many disciplines and hold great importance to practical applications.

Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method.

This book provides a concise introduction to numerical concepts in engineering analysis, using FORTRAN, QuickBASIC, MATLAB, and Mathematica to illustrate the examples.

Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains.

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions.

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions.

Computational inference has taken its place alongside asymptotic inference and exact techniques in the standard collection of statistical methods.

There has been dramatic growth in the development and application of Bayesian inference in statistics.

Solving optimization problems in complex systems often requires the implementation of advanced mathematical techniques.

Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions.

This book represents a collection of recent advances in computational studies in neuroscience research that practically applies to a collaborative and integrative environment in engineering and medical domains.

"e;Optimization on Metric and Normed Spaces"e; is devoted to the recent progress in optimization on Banach spaces and complete metric spaces.

In a world with highly competitive markets and economic instability due to capitalization, industrial competition has increasingly intensified.

While there are several texts on how to solve and analyze stochastic programs, this is the first text to address basic questions about how to model uncertainty, and how to reformulate a deterministic model so that it can be analyzed in a stochastic setting.

While we were busy putting together the present collection of articles celebrating the twentieth birthday of our journal, Discrete & Computational Geometry, and, in a way, of the ?

Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis.

In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures.

Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering.

Cellular Genetic Algorithms defines a new class of optimization algorithms based on the concepts of structured populations and Genetic Algorithms (GAs).

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems.

Many aspects of phenomena critical to our lives can not be measured directly.

Recent Advances in Numerical Methods features contributions from distinguished researchers focused on significant aspects of current numerical methods and computational mathematics.

A large number of scientists and engineers use Monte Carlo simulation as an essential tool in their work.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

Algorithms in algebraic geometry go hand in hand with software packages that implement them.

Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process.

Agriculture has experienced a dramatic change during the past decades.

The R language provides a rich environment for working with data, especially data to be used for statistical modeling or graphics.

Computational probability is a set of stochastic methods that has emerged over the past decade that allow researchers and students to solve problems that require exact probability calculations previously considered arduous or intractable.

This book is an example-based introduction to techniques, from elementary to advanced, of using Mathematica, a revolutionary tool for mathematical computation and exploration.

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?

There can be no question, my dear Watson, of the value of exercise before breakfast.

The book of nature, according to Galilei, is written in the language of mat- matics.

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro.

Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory.

As the editors of this volume we are very happy to publish a selection of the papers that were presented at the seventh Conference of Working Group 3.

This book focuses on variational methods in imaging science.

Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti?

Thesubjectofthisbookisthenested partitions method(NP),arelativelynew optimization method that has been found to be very e?

The foreign exchange market is one of the most complex dynamic markets with the characteristics of high volatility, nonlinearity and irregularity.

This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors.

There has been dramatic growth in the development and application of Bayesian inference in statistics.

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods.