Mathematical physics

This book deals with fractals in understanding problems encountered in earth science, and their solutions.

This book presents the state-of-the-art in supercomputer simulation.

In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models.

This book presents cutting-edge concepts, paradigms, and research highlights in the field of computational materials science and engineering, and provides a fresh, up-to-date perspective on solving present and future materials challenges.

The book covers the content of a typical higher undergraduate course of the theory of Quantum Mechanics.

This pioneering work deals with the parameterization of rockfalls in the context of 3D run-out modelling at a study site in the Bavarian Alps.

This book surveys the most recent advances in physics-inspired cell movement models.

This book studies social phenomena in a new way, by making judicious use of computer technology.

This book deals with an information-driven approach to plan materials discovery and design, iterative learning.

This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved.

Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools.

This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air.

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems.

This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems.

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics.

This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory.

Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics.

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs).

This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations.

This book endeavours to give a concise contribution to understanding the data assimilation and related methodologies.

This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics.

This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type.

This work tackles the problems of understanding how energy is transmitted and distributed in power-grids as well as in determining how robust this transmission and distribution is when modifications to the grid or power occur.

This thesis reports on investigations of a specific collective mode of nuclear vibration, the isoscalar giant monopole resonance (ISGMR), the nuclear "e;breathing mode"e;, the energy of which is directly related to a fundamental property of nuclei-the nuclear incompressibility.

This book deals with those properties of non-equilibrium soft matter that deviate greatly from the bulk properties as a result of nanoscale confinement.

This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology; and a fundamental study of the perturbations in inflation.

Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name a few.

This book takes an in depth look at a novel methodology for analyzing Global Positioning System (GPS) data to obtain the highest possible resolution surface imaging of tectonic deformation sources without prescribing the nature of either the sources or the subsurface medium.

This book captures current trends and developments in the field of systems thinking and soft operations research which can be applied to solve today's problems of dynamic complexity and interdependency.

This book presents the current knowledge about nonlinear localized travelling excitations in crystals.

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension.

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest.

The object of this book is to explain how to create a synthesis of complex biostratigraphic data, and how to extract from such a synthesis a relative time scale based exclusively on the fossil content of sedimentary rocks.

These proceedings comprise invited and contributed papers presented at PLMMP-2014, addressing modern problems in the fields of liquids, solutions and confined systems, critical phenomena, as well as colloidal and biological systems.

The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations.

The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems.

This is the third edition of a well-received textbook on modern physics theory.

This thesis examines the yZ box contribution to the weak charge of the proton.

This book is intended as a historical and critical study on the origin of the equations of motion as established in Newton's Principia.

Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger's Quantum Action Principle descended from Dirac's formulation, which independently led Feynman to his path-integral formulation of quantum mechanics.

This book is intended for students of computational systems biology with only a limited background in mathematics.

This thesis is concerned with establishing a rigorous, modern theory of the stochastic and dissipative forces on crystal defects, which remain poorly understood despite their importance in any temperature dependent micro-structural process such as the ductile to brittle transition or irradiation damage.

This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or NMD.

This thesis describes the stand-alone discovery and measurement of the Higgs boson in its decays to two W bosons using the Run-I ATLAS dataset.

This thesis investigates the sound generated by solid bodies in steady subsonic flows with unsteady perturbations, as is typically used when determining the noise generated by turbulent interactions.

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday.

This work addresses the computation of excited-state properties of systems containing thousands of atoms.

This book proposes two simple quantum mechanical models for the analytical description of metal surfaces and nanoparticles.

This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain.

This book - specifically developed as a novel textbook on elementary classical mechanics - shows how analytical and numerical methods can be seamlessly integrated to solve physics problems.