Differential calculus and equations

Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.

This textbook is devoted to second order linear partial differential equations.

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems.

The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.

This book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization.

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments.

Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis.

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration.

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction.

This book provides the logistics, fundamentals, and nuances for all involved in surgery to optimize performance and results in the operating room.

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

This book presents the reader with comprehensive insight into various kinds of mathematical modeling and numerical computation for problems arising in several branches of engineering, such as mechanical engineering, computer science engineering, electrical engineering, electronics and communication engineering, and civil engineering.

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A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations.

This proceedings volume gathers peer-reviewed, selected papers presented at the "e;Mathematical and Numerical Approaches for Multi-Wave Inverse Problems"e; conference at the Centre Internacional de Rencontres Mathematiques (CIRM) in Marseille, France, in April 2019.

Multivariate polynomials are a main tool in approximation.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "e;Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers"e;, held in Rome, Italy, on July 12-14, 2021.

This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978.

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies.

Partial differential equations (PDEs) describe technological phenomena and processes used for the analysis, design, and modeling of technical products.

This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction.

This book presents cutting-edge contributions in the areas of control theory and partial differential equations.

This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control.

The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997.

Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background.

The authors present functional analytical methods for solving a class of partial differential equations.

Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms.

This textbook is intended for students who wish to obtain an introduction to the theory of partial di?

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations.

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences.

Control theory has applications to a number of areas in engineering and communication theory.

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers.

This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids.

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

Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

How does mathematics impact everyday events?

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

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

Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence.