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Monographs and Surveys in Pure and Applied Mathematics


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Strain Solitons in Solids and How to Construct Them

Strain Solitons in Solids and How to Construct Them

1st Edition

By Alexander M. Samsonov
December 18, 2020

Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain ...

Shock Waves & Explosions

Shock Waves & Explosions

1st Edition

By P.L. Sachdev
October 24, 2019

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. Offering an introductory review of historic research, Shock Waves and ...

Nonlinear Differential Equations in Ordered Spaces

Nonlinear Differential Equations in Ordered Spaces

1st Edition

By S. Carl, Seppo Heikkila
October 23, 2019

Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit ...

Smooth Homogeneous Structures in Operator Theory

Smooth Homogeneous Structures in Operator Theory

1st Edition

By Daniel Beltita
October 23, 2019

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. ...

Inverse Boundary Spectral Problems

Inverse Boundary Spectral Problems

1st Edition

By Alexander Kachalov, Yaroslav Kurylev, Matti Lassas
September 23, 2019

Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical ...

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

1st Edition

By A.G. Kulikovskii, N.V. Pogorelov, A. Yu. Semenov
September 23, 2019

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such ...

Interfacial Phenomena and Convection

Interfacial Phenomena and Convection

1st Edition

By Alexander A. Nepomnyashchy, Manuel G. Velarde, Pierre Colinet
September 19, 2019

Interfacial phenomena driven by heat or mass transfer are widespread in science and various branches of engineering. Research in this area has become quite active in recent years, attributable in part, at least, to the entry of physicists and their sophisticated experimental techniques into the ...

Abstract Cauchy Problems Three Approaches

Abstract Cauchy Problems: Three Approaches

1st Edition

By Irina V. Melnikova, Alexei Filinkov
September 05, 2019

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems...

Difference Methods for Singular Perturbation Problems

Difference Methods for Singular Perturbation Problems

1st Edition

By Grigory I. Shishkin, Lidia P. Shishkina
September 05, 2019

  Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical ...

Higher Order Derivatives

Higher Order Derivatives

1st Edition

By Satya Mukhopadhyay
September 05, 2019

The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers ...

Isometries on Banach Spaces function spaces

Isometries on Banach Spaces: function spaces

1st Edition

By Richard J. Fleming, James E. Jamison
September 05, 2019

Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on ...

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications

1st Edition

By Janusz Mierczynski, Wenxian Shen
September 05, 2019

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers ...

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