Differential calculus and equations

This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

In volume I we developed the tools of "e;Multivalued Analysis.

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration.

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations.

This textbook offers an extensive list of completely solved problems in mathematical analysis.

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).

This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.

This volume collects the edited and reviewed contributions presented in the 8th iTi Conference on Turbulence, held in Bertinoro, Italy, in September 2018.

The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Frechet and more general spaces.

It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner.

This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.

This book started as a collection of lecture notes for a course in differential equations taught by the Division of Applied Mathematics at Brown University.

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students.

Dieses Buch ist aus Vorlesungen und Übungen entstanden, die ich mehrfach an der Universität Karlsruhe für Mathematiker, Physiker, Ingenieure und Informati­ ker gehalten habe.

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences.

The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.

Multifractal theory was introduced by theoretical physicists in 1986.

This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensional nonlinear dynamic systems.

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods.

Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science.

In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry.

This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019.

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.

Computational Framework for the Finite Element Method in MATLAB(R) and Python aims to provide a programming framework for coding linear FEM using matrix-based MATLAB(R) language and Python scripting language.

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 monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications.

The book contains 13 articles, some of which are survey articles and others research papers.

The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timisoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017.

The theory of almost periodic functions is a very active field of research for scholars.

In April 2007, the Deutsche Forschungsgemeinschaft (DFG) approved the Priority Program 1324 "e;Mathematical Methods for Extracting Quantifiable Information from Complex Systems.

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems.

This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China.

This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator.

The sequential quadratic hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models.

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance.

Festschrift in Honor of Takahiro Kawai

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory.

Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non- stationary problems of mathematical physics.

Classical mechanics is a subject that is teeming with life.