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Numerical Methods for Exterior Problems
Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposi...
Neonatal Lung Ultrasonography
This book presents lung ultrasound as an accurate, reliable, low-cost and simple imaging technique, which poses no risk of radiation damage, making bedside use both feasible and convenient in neonatal wards. The aim of this book is to introduce the features of common lung diseases found in newborns that are detected using ultrasonic imaging. It introduces five important diseases, including respiratory distress syndrome (RDS), transient tachypnea of the newborn (TTN), infectious pneumonia of the newborn (IPN), pulmonary atelectasis of the newborn (PAN) and pneumothorax. In addition, the fundamental principles, commonly used terminologies and methods of performing lung ultrasound are also included in this book. The audience includes all neonatologists, pediatricians and pulmonologists.
Encyclopedia of Contemporary Chinese Culture
First Published in 2009. Routledge is an imprint of Taylor & Francis, an informa company.
Acupuncture and Moxibustion
This scholarly and comprehensive textbook comprises three parts: Channels and Points; Acupuncture and Moxibustion Techniques; Treatment of Diseases. Based on the ancient classics of traditional Chinese medicine, modern clinical practice, and recent research, Acupuncture and Moxibustion is a wonderful textbook both for international students and an essential reference for practitioners. Its editorial board, composed of well-known Chinese and Western acupuncture practitioners, has ensured that the English edition conforms to high academic standards.
Recent Progress in Computational and Applied PDES
The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.
Infinite Element Methods
"As its name indicates, in the infinite element method the underlying domain is divided into infinitely many pieces. This leads to a system of infinitely many equations for infinitely many unknowns; but these can be reduced by analytical techniques to a finite system when some sort of scaling is present in the original problem. The simplest illustrative example, described carefully at the beginning of the first chapter of the book, is the solution of the Dirichlet problem in the exterior of some polygon. The exterior is subdivided into annular regions by a sequence of geometrically expanding images of the given polygon; these annuli are then further subdivided. The resulting variational equa...
Diseases of the Chest, Breast, Heart and Vessels 2019-2022
This open access book focuses on diagnostic and interventional imaging of the chest, breast, heart, and vessels. It consists of a remarkable collection of contributions authored by internationally respected experts, featuring the most recent diagnostic developments and technological advances with a highly didactical approach. The chapters are disease-oriented and cover all the relevant imaging modalities, including standard radiography, CT, nuclear medicine with PET, ultrasound and magnetic resonance imaging, as well as imaging-guided interventions. As such, it presents a comprehensive review of current knowledge on imaging of the heart and chest, as well as thoracic interventions and a selection of "hot topics". The book is intended for radiologists, however, it is also of interest to clinicians in oncology, cardiology, and pulmonology.
Kai Lung Beneath the Mulberry-Tree
This early work by Ernest Bramah was originally published in 1911 and we are now republishing it with a brand new introduction. 'Kai Lung Beneath the Mulberry-Tree' is one of Bramah's works in the Kai Lung series. Ernest Bramah Smith was born was near Manchester in 1868. He was a poor student, and dropped out of the Manchester Grammar School when sixteen years old to go into the farming business. Bramah found commercial and critical success with his first novel, The Wallet of Kai Lung, but it was his later stories of detective Max Carrados that assured him lasting fame.
Vortex Methods
This book aims to provide a comprehensive study of the mathematical theory of the vortex method, from its origins in the 1930s, through the developments of the '70s when the use of computers made advanced research possible, to current work on this subject in China and elsewhere. The five chapters treat vortex methods for the Euler and Navier-Stokes equations; mathematical theory for incompressible flows; convergence of vortex methods for the Euler equations; convergence of viscosity splitting; and convergence of the random vortex method. Audience: This volume will be of interest to researchers and graduate students of applied mathematics, scientists in fluid dynamics, and aviation engineers.
