Mathematical modelling

Expanding on the first edition of An Introduction to Continuous-Time Stochastic Processes, this concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes.

Loosely speaking, adaptive systems are designed to deal with, to adapt to, chang- ing environmental conditions whilst maintaining performance objectives.

Combining two important and growing areas of applied mathematics-control theory and modeling-this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences.

Probability models are now a vital componentof every scienti c investigation.

The book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability.

This book concerns the identi?

Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena.

This book---unique in the literature---presents the basic elements of third-order aberrations of optical telescopes, along with the necessary mathematical background, to design almost all optical combinations used in astronomy.

R In the companion book (Continuum Mechanics Using Mathematica )to this volume, we explained the foundations of continuum mechanics and described some basic applications of ?

This book is the first complete guide to analog circuit design using the circuit simulator software package SPICE OPUS.

"e;The authors have backgrounds which are ideally suited for writing this book.

The aim of this book is to provide, ?

Applied mathematicians are becoming increasingly involved in the modeling and simulation of tumor growth, reducing the amount of experimentation necessary for drug and therapy development and shedding light on aspects of cancer dynamics that are difficult to assess experimentally.

This introductory textbook is designed for a one-semester course on queueing theory that does not require a course on stochastic processes as a prerequisite.

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory.

Thesubjectofthisbookisthemodelingofcomplex systemsinthelife sciences constituted by a large number of interacting entities called active particles.

This book examines various mathematical tools-based on generalized collocation methods-to solve nonlinear problems related to partial differential and integro-differential equations.

Based on a streamlined presentation of the author's previous work, An Introduction to Frames and Riesz Bases, this new textbook fills a gap in the literature, developing frame theory as part of a dialogue between mathematicians and engineers.

Harmonic analysis is a venerable part of modern mathematics.

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Enrique Castillo is a leading figure in several mathematical and engineering fields, having contributed seminal work in such areas as statistical modeling, extreme value analysis, multivariate distribution theory, Bayesian networks, neural networks, functional equations, artificial intelligence, linear algebra, optimization methods, numerical methods, reliability engineering, as well as sensitivity analysis and its applications.

An outgrowth of the "e;International Conference on Statistical Models for Biomedical and Technical Systems,"e; this book is comprised of contributions from renowned experts, demonstrating the significance of current research on theory, methods, and applications of the field.

Molecular Gas Dynamics originates from lectures and seminars delivered by the author at various universities and institutions worldwide.

In the context of network theory, Complex networks can be de?

This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005).

This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005).

This volume aims to provide an overview of some recent developments of mathematical kinetic theory focused on its application in modelling complex systems in various ?

Fuzzy logic methodology has been proven effective in dealing with complex nonlinear systems containing uncertainties that are otherwise difficult to model.

ContentsandScienti?

Shapes have been among man's fascinations from thestoneage to thespace age.

Increasingly, neural networks are used and implemented in a wide range of fields and have become useful tools in probabilistic analysis and prediction theory.

Modern aerospace vehicles, such as the space shuttle, other launch vehicles, and long-range ballistic missiles, do not discriminate between atmospheric and space flight.

This book is a systematic, rigorous, and self-consistent introduction to the theory of continuous-time stochastic processes.

The recent dramatic advances inbiotechnology have led to an explosion of data in the life sciences at the molecular level as well as more detailed observation and ch- acterization at the cellular and tissue levels.

One of the primary purposes and obligations of science, in addition to - derstandingnatureingeneralandlifeinparticular, istoassistinenhancing the quality and longevity of life, indeed a most daunting challenge.

Because of its versatility in analyzing a broad range of applications, multibody dynamics has grown in the past two decades to be an important tool for designing, prototyping, and simulating complex articulated mechanical systems.

Which scientific results can we trust?

This book offers a careful selection of studies in optimization techniques based on artificial intelligence, applied to inverse problems in radiative transfer.

This monograph explores the use of mathematical modeling and control theory in a variety of contemporary challenges in mathematical biology and environmental sciences.

This monograph explores the use of mathematical modeling and control theory in a variety of contemporary challenges in mathematical biology and environmental sciences.

This paper addresses the need to model recharge to groundwater systems at the scale of whole catchments.

The point of departure in the present book is that the decision makers, involved in the evaluation of alternatives under conflicting criteria, express their preferential judgement by estimating ratios of subjective values or differences of the corresponding logarithms, the so-called grades.

A standalone text on computational physics combining idiomatic Python, foundational numerical methods, and physics applications.

This book is an introduction to the study of mathematical models of electrically active cells.

A basic one-stop reference for graduate students and researchers.

The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.

A unifying system-theoretic view of adaptation in dynamical systems for researchers and graduates in cybernetics, mathematical modelling and neuroscience.

This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.