Differential calculus and equations

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.

This book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials.

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals.

This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC).

This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering.

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "e;Boundary Value Problems, Functional Equations and Applications"e; (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.

This is the first book devoted to the task of computing integrability structures by computer.

This book presents, in a consistent and unified overview, results and developments in the field of today's spherical sampling, particularly arising in mathematical geosciences.

Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.

This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona.

The Proceedings volume contains 16 contributions to the IMPA conference "e;New Trends in Parameter Identification for Mathematical Models"e;, Rio de Janeiro, Oct 30 - Nov 3, 2017, integrating the "e;Chemnitz Symposium on Inverse Problems on Tour"e;.

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary.

This book presents, for the first time, the unpublished manuscripts of Lars Hormander, written between 1951 and 2007.

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory.

This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing.

This monograph discusses covariant Schrodinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrodinger operators has mainly focused on scalar Schrodinger operators on Euclidean spaces so far.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory.

This book presents new developments  in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.

Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?

The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects.

This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems.

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics.

"e;This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology.

This book is concerned with the study in two dimensions of stationary solutions of u?

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

This book provides an overview of different topics related to the theory of partial differential equations.

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses.

This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems.

This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics.

This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods.

Mathematical treatment to properties of dynamic materials, material substances whose properties are variable in space and time are examined in this book.

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area.

In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems.

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization.

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

This monograph offers the first systematic account of (metric) regularity theory in variational analysis.

This textbook is designed with the needs of today's student in mind.

Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.

This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling.

This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids.

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled "e;Geometric mechanics - variational and stochastic methods"e; run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Federale de Lausanne.

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive.

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields.

This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied.