Mathematical modelling

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics.

Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling.

This text advances the study of approximate solutions to partial differential equations by formulating a novel approach that employs Hermite interpolating polynomials and by supplying algorithms useful in applying this approach.

Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena.

Whether you are a bioengineer designing prosthetics, an aerospace scientist involved in life support, a kinesiologist training athletes, or an occupational physician prescribing an exercise regimen, you need the latest edition of Biomechanics and Exercise Physiology: Quantitative Modeling.

Models for Dependent Time Series addresses the issues that arise and the methodology that can be applied when the dependence between time series is described and modeled.

From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions.

Useful in the theoretical and empirical analysis of nonlinear time series data, semiparametric methods have received extensive attention in the economics and statistics communities over the past twenty years.

The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject.

Because of its large command structure and intricate syntax, Mathematica can be difficult to learn.

Metaheuristics are widely used to solve important practical combinatorial optimization problems.

With more and more interest in how components of biological systems interact, it is important to understand the various aspects of systems biology.

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators.

A graduate level text, this book presents a unique combination of theoretical mathematics and engineering applications.

This book is a comprehensive and time-tested guide to the mathematical theory of Fourier series and boundary value problems, with a strong emphasis on engineering applications.

Climate change mitigation and sustainable practices are now at the top of political and technical agendas.

Quantitative Methods for Finance and Investments ensures that readers come away from reading it with a reasonable degree of comfort and proficiency in applying elementary mathematics to several types of financial analysis.

Recent interest in nanotechnology is challenging the community to analyse, develop and design nanometer to micrometer-sized devices for applications in new generations of computer, electronics, photonics and drug delivery systems.

For more than 250 years partial di?

This volume constitutes the Proceedings of the IUTAM Symposium on 'Scaling in Solid Mechanics', held in Cardiff from 25th to 29th June 2007.

Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process.

In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use, and contamination.

One of the goals of the Journal of Elasticity: The Physical and Ma- ematical Science of Solids is to identify and to bring to the attention of the research community in the physical and mathematical sciences extensive expositions which contain creative ideas, new approaches and currentdevelopmentsinmodellingthebehaviourofmaterials.

Dynamical systems with random influences occur throughout the physical, biological, and social sciences.

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In the recent decades the theory and observations of disk systems became one of the fast progressing branches of astrophysics.

The present textbook contains the recordsof a two-semester course on que- ing theory, including an introduction to matrix-analytic methods.

This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods.

This book presents the perspective of the project on a Paradigm Unifying System Specification Environments for proven Electronic design (PUS SEE) as conceived in the course of the research during 2002 -2003.

From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P.

In this new edition, the fundamental material on classical linear aeroelasticity has been revised.

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management.

A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples.

Deterministic Methods in Systems Hydrology presents the basic theory underlying the multitude of parameter-rich models which dominate the hydrological literature.

Introductory Mathematics for the Life Sciences offers a straightforward introduction to the mathematical principles needed for studies in the life sciences.

Introductory Mathematics for the Life Sciences offers a straightforward introduction to the mathematical principles needed for studies in the life sciences.

Students with diverse backgrounds will face a multitude of decisions in a variety of engineering, scientific, industrial, and financial settings.

Thermodynamics is used increasingly in ecology to understand the system properties of ecosystems because it is a basic science that describes energy transformation from a holistic view.

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra.

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra.

Understanding spatial statistics requires tools from applied and mathematical statistics, linear model theory, regression, time series, and stochastic processes.

Not only do modeling and simulation help provide a better understanding of how real-world systems function, they also enable us to predict system behavior before a system is actually built and analyze systems accurately under varying operating conditions.

Offering a fresh take on laser engineering, Laser Modeling: A Numerical Approach with Algebra and Calculus presents algebraic models and traditional calculus-based methods in tandem to make concepts easier to digest and apply in the real world.

Probabilistic Foundations of Statistical Network Analysis presents a fresh and insightful perspective on the fundamental tenets and major challenges of modern network analysis.

Probabilistic Foundations of Statistical Network Analysis presents a fresh and insightful perspective on the fundamental tenets and major challenges of modern network analysis.

The large and complex challenges the world is facing, the growing prevalence of huge data sets, and the new and developing ways for addressing them (artificial intelligence, data science, machine learning, etc.

The large and complex challenges the world is facing, the growing prevalence of huge data sets, and the new and developing ways for addressing them (artificial intelligence, data science, machine learning, etc.