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Analytic Elements from Singular Integral Equations

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Solutions to interface problems may be developed using analytic elements with mathematical solutions to the Laplace equation developed by singular integral equations. This formulation leads to ... More


Layered Potentials, Jump Relations and Existence Theorems

Ali Taheri

in Function Spaces and Partial Differential Equations: Volume 2: Contemporary Analysis

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198733157
eISBN:
9780191797729
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198733157.003.0019
Subject:
Mathematics, Analysis

This chapter includes a thorough and detailed discussion of existence theorems for the four basic boundary-value problems associated with the Laplace operator, i.e., the interior and exterior ... More


The semantic differentiation of demonstratives in Sinitic languages

Yujie Chen

in Diversity in Sinitic Languages

Published in print:
2015
Published Online:
March 2016
ISBN:
9780198723790
eISBN:
9780191791130
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723790.003.0004
Subject:
Linguistics, Language Families, Syntax and Morphology

This chapter explores the common conceptual categories found in the semantic differentiation of demonstratives based on data from more than 300 Sinitic languages. While two-term systems are very ... More


Complex Systems as Multilayer Networks

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 1 constitutes Part I of the book: ‘Single and Multilayer Networks’. This chapter introduces multilayer networks as an important new development of Network Science that allows a more ... More


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