Kategoria BISAC: Science >> Physics - Mathematical & Computational

The aim of this book volume is to explain the importance of Markov state models to molecular simulation, how they work, and how they can be applied to a range of problems.

The Markov state model (MSM) approach aims to address two key challenges of molecular simulation:

1) How to reach long timescales using short simulations of detailed molecular models.

2) How to systematically gain insight from the resulting sea of data.

MSMs do this by providing a compact representation of the vast conformational space available to biomolecules by decomposing it into states sets...

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the...

1. What is the scientific problem we are trying to understand?
   
2. How do we model that with...

This book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation.

After a general introduction in Chapter 1 illustrating many aspects dealing with turbulent flows, averaged equations and kinetic energy budgets are provided in Chapter 2. The concept of turbulent viscosity as a closure of the Reynolds stress is also introduced. Wall-bounded flows are presented in Chapter 3 and aspects specific to boundary layers and channel or pipe flows are also pointed out. Free shear flows, namely free jets and wakes, are...

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and...

This book systematically presents solutions to the linear time-fractional diffusion-wave equation.It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the long-tail power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier s, Fick s and Darcy s laws are considered and different kinds of...

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.

In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:

• a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the...

This biography provides a stimulating and coherent blend of scientific and personal narratives describing the many achievements of the theoretical physicist Herbert Frohlich. For more than half a century, Frohlich was an internationally renowned and much respected figure who exerted a decisive influence, often as a 'man ahead of his time', in fields as diverse as meson theory and biology. Although best known for his contributions to the theory of dielectrics and superconductivity, he worked in many other fields, his most important legacy being the pioneering introduction quantum...