Mathematical modelling

High temperature, high oil pressure, oil and gas well completion testing have always been a technical challenge and basic theoretical research is one of the key factors needed to ensure a successful completion test.

This handbook covers the peridynamic modeling of failure and damage.

The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books.

This new book focuses on nanomaterial development as well as investigations of combustion and explosion processes.

Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community.

Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community.

Focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis in various disciplines.

Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.

SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.

For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.

For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.

A modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices.

Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.

This book presents basic tools from probability theory used in algorithmic applications, with concrete examples.

The authors describe the modelling of financial derivative products from an applied mathematician''s viewpoint.

This book presents basic tools from probability theory used in algorithmic applications, with concrete examples.

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena.

This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications.

The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena.

A new method of modeling the atmosphere, synthesizing data analysis techniques and multifractal statistics, for atmospheric researchers and graduate students.

This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications.

A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.

A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.

Focuses on the practical needs of applied statisticians and experimenters engaged in design, implementation and analysis in various disciplines.

Both a textbook for graduate students with exercises and a reference with code for researchers in computational aeroacoustics (CAA).

Both a textbook for graduate students with exercises and a reference with code for researchers in computational aeroacoustics (CAA).

Underlying principles of the various techniques are explained, enabling neuroscientists to extract meaningful information from their measurements.

Introduces principles drawn from quantum theory to present a new framework for modeling human cognition and decision.

A wide range of topics give students a firm foundation in statistical and actuarial concepts and their applications.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.

Account of current research in model theory and its connections with algebra and analysis; contributions from leaders in the field.

A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.

An excellent basis for further study.

This classic book outlines the anatomy and physiology of the circulation and explains the mechanical principles that govern it.

A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.

Enables graduate students and researchers to understand and employ a wide variety of methods in applied mathematics.

Master the process of building MASS models with real examples and hands-on practice.

Introduces stochastic control and mathematical modelling to researchers and graduate students in applied mathematics, mathematical economics, and non-linear PDE theory.

Focuses on commonly used and recently developed methods for designing and analyzing high-throughput screening experiments from a statistically sound basis.

Focuses on commonly used and recently developed methods for designing and analyzing high-throughput screening experiments from a statistically sound basis.

Inspiration and provocation from a master expositor, taking you to the heart of contemporary probability.

This book explains how to use techniques of computational modelling to understand the nervous system at all levels from ion channels to networks.

Inspiration and provocation from a master expositor, taking you to the heart of contemporary probability.

This book explains how to use techniques of computational modelling to understand the nervous system at all levels from ion channels to networks.

An introduction to the FDTD method for students and engineers without prior modeling experience.

This book provides a comprehensive introduction to modern financial modeling using Excel, VBA, standards of financial modeling and model review.

This is an advanced guide to optimal stopping and control, focusing on advanced Monte Carlo simulation and its application to finance.

Mathematical models have long been used by geographers and regional scientists to explore the working of urban and regional systems, via a system where the equilibrium point changes slowly and smoothly as the parameters change slowly and smoothly.