Calculus and mathematical analysis

Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems.

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non commutative algebras.

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work.

This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes.

These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis.

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering.

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems.

This volume presents recent research work focused in the development of adequate theoretical and numerical formulations to describe the behavior of advanced engineering materials.

This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Joao Pessoa, Brazil, in September 2012.

This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization.

Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool.

This book provides readers with modern computational techniques for solving variety of problems from electrical, mechanical, civil and chemical engineering.

The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain.

This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Symposium on Parameterized and Exact Computation, IPEC 2013, in Sophia Antipolis, France, in September 2013.

Leonardo wrote, "e;Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics"e;; replace "e;Mechanics"e; by "e;Fluid mechanics"e; and here we are.

This monograph is dedicated to the derivation and analysis of fluid models occurring in plasma physics.

This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences.

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation.

This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues.

This textbook introduces readers to the basic concepts of quasi-Monte Carlo methods for numerical integration and to the theory behind them.

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion.

This book provides a comprehensive and timely report in the area of non-additive measures and integrals.

In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits.

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums.

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science.

The book represents a basic support for a master course in electromagnetism oriented to numerical simulation.

Many problems in scientific computing are intractable with classical numerical techniques.

This book constitutes the refereed proceedings of the 7th International Conference on Combinatorial Optimization and Applications, COCOA 2013, held in Chengdu, China, in December 2013.

This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G.

The book is mainly addressed to young graduate students in engineering and natural sciences who start to face numerical simulation, either at a research level or in the field of industrial applications.

This book is an accessible guide to adaptive signal processing methods that equips the reader with advanced theoretical and practical tools for the study and development of circuit structures and provides robust algorithms relevant to a wide variety of application scenarios.

The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations.

This book provides a survey on wide-spread of employing wavelets analysis in different applications of speech processing.

This volume presents recent developments in the area of Levy-type processes and more general stochastic processes that behave locally like a Levy process.

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications.

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems.

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis.

This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others.

This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson's quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America.

This book covers virtually all of the engineering science and technological aspects of separating water from particulate solids in the mining industry.

This volume contains the proceedings from two closely related workshops: Computational Diffusion MRI (CDMRI'13) and Mathematical Methods from Brain Connectivity (MMBC'13), held under the auspices of the 16th International Conference on Medical Image Computing and Computer Assisted Intervention, which took place in Nagoya, Japan, September 2013.

The 6th International Conference on Pedestrian and Evacuation Dynamics (PED2012) showcased research on human locomotion.

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure.

This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013.

This book provides an introduction to the analysis of discrete dynamical systems.

This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients.

In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting.

This book presents the state-of-the-art in simulation on supercomputers.

Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.