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Chapman & Hall/CRC Research Notes in Mathematics Series

69 Series Titles


Elliptic and Parabolic Problems Pont-A-Mousson 1994, Volume 325

Elliptic and Parabolic Problems: Pont-A-Mousson 1994, Volume 325

1st Edition

By C Bandle, Michel Chipot, Josef Bemelmans, J Saint Jean Paulin, I Shafrir
June 30, 2020

This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,mechanics and engineering.These topics are now part of various ...

Recent Developments in Theoretical Fluid Mechanics Winter School, Paseky, 1992

Recent Developments in Theoretical Fluid Mechanics: Winter School, Paseky, 1992

1st Edition

By G P Galdi, J. Necas
June 30, 2020

Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics. The five papers appearing in this volume are centred around the mathematical theory of the Navier-Stokes equations (incompressible and ...

Integral Expansions Related to Mehler-Fock Type Transforms

Integral Expansions Related to Mehler-Fock Type Transforms

1st Edition

By B N Mandal, Nanigopal Mandal
December 12, 2019

An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some...

Conjugate Gradient Type Methods for Ill-Posed Problems

Conjugate Gradient Type Methods for Ill-Posed Problems

1st Edition

By Martin Hanke
December 02, 2019

The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert space.This volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill ...

Integral Transforms, Reproducing Kernels and Their Applications

Integral Transforms, Reproducing Kernels and Their Applications

1st Edition

By Saburou Saitoh
December 02, 2019

The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind....

Multigrid Methods

Multigrid Methods

1st Edition

By James H Bramble
December 02, 2019

Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful ...

Random Geometrically Graph Directed Self-Similar Multifractals

Random Geometrically Graph Directed Self-Similar Multifractals

1st Edition

By Lars Olsen
December 02, 2019

Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As...

Refined Large Deviation Limit Theorems

Refined Large Deviation Limit Theorems

1st Edition

By Vladimir Vinogradov
December 02, 2019

This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied...

Variational Methods in Lorentzian Geometry

Variational Methods in Lorentzian Geometry

1st Edition

By Antonio Masiello
December 02, 2019

Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold....

Envelopes and Sharp Embeddings of Function Spaces

Envelopes and Sharp Embeddings of Function Spaces

1st Edition

By Dorothee D. Haroske
October 18, 2019

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This theory originates from...

Mathematical Methods of Many-Body Quantum Field Theory

Mathematical Methods of Many-Body Quantum Field Theory

1st Edition

By Detlef Lehmann
September 05, 2019

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of ...

Quantum Integrable Systems

Quantum Integrable Systems

1st Edition

By Asesh Roy Chowdhury, Aninlya Ghose Choudhury
January 28, 2004

The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists...

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