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A Compendium of Partial Differential Equation Models
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Numerical Analysis Using R
This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.
Stravinsky's Piano
Stravinsky's reinvention in the early 1920s, as both neoclassical composer and concert-pianist, is here placed at the centre of a fundamental reconsideration of his whole output - viewed from the unprecedented perspective of his relationship with the piano. Graham Griffiths assesses Stravinsky's musical upbringing in St Petersburg with emphasis on his education at the hands of two extraordinary teachers whom he later either ignored or denounced: Leokadiya Kashperova, for piano and Rimsky-Korsakov, for instrumentation. Their message, Griffiths argues, enabled Stravinsky to formulate from that intensely Russian experience an internationalist brand of neoclassicism founded upon the premises of objectivity and craft. Drawing directly on the composer's manuscripts, Griffiths addresses Stravinsky's lifelong fascination with counterpoint and with pianism's constructive processes. Stravinsky's Piano presents both of these as recurring features of the compositional attitudes that Stravinsky consistently applied to his works, whether Russian, neoclassical or serial, and regardless of idiom and genre.
Traveling Wave Analysis of Partial Differential Equations
Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book survey...
Traveling Wave Analysis of Partial Differential Equations
Partial Differential Equations have been developed and used in science and engineering for more than 200 years, yet they remain a very active area of research, both because of their role in mathematics and their application to virtually all areas of science and engineering. This research is due relatively recently to the development of computer solution methods for PDEs that have extended PDE applications in quantifying board areas of physical, chemical, and biological phenomena. This book surveys some of these new development in analytical and numerical method, and relates the two through a series of PDF examples. The PDFs that have been selected are largely, "named" in thee sense that they have the names of their original contributors. These names usually reflect that the PDFs are widely recognized and used in many application areas. The development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problem that can be used to evaluate numerical methods.
An Introductory Global CO2 Model
The increasing concentration of atmospheric CO2 is now a problem of global concern. Although the consequences of atmospheric CO2 are still evolving, there is compelling evidence that the global environmental system is undergoing profound changes as seen in the recent spike of phenomena: extreme heat waves, droughts, wildfires, melting glaciers, and rising sea levels. These global problems directly resulting from elevated atmospheric CO2, will last for the foreseeable future, and will ultimately affect everyone. The CO2 problem is generally not well understood quantitatively by a general audience; for example, in respect of the increasing rate of CO2 emissions, and the movement of carbon to o...
An Introductory Global CO2 Model
The increasing concentration of atmospheric CO2 is now a problem of global concern. Although the consequences of atmospheric CO2 are still evolving, there is compelling evidence that the global environmental system is undergoing profound changes as seen in the recent spike of phenomena: extreme heat waves, droughts, wildfires, melting glaciers, and rising sea levels. These global problems directly resulting from elevated atmospheric CO2, will last for the foreseeable future, and will ultimately affect everyone.The CO2 problem is generally not well understood quantitatively by a general audience; for example, in respect of the increasing rate of CO2 emissions, and the movement of carbon to ot...
Teaching Adult Numeracy: Principles & Practice
This book offers friendly guidance on how to work with adult learners to develop their numeracy and mathematics skills. It brings together current research and practice on teaching adult numeracy into one handy volume and covers the major issues faced by teachers of adult numeracy such as current policy perspectives and implications for teaching practice. There are reflective tasks throughout, which encourage you to develop and apply your theoretical knowledge to your own experiences. Key features include: Reviews of existing policy and research and implications for practice Reflective tasks with commentary, encouraging you to develop and apply your knowledge Case studies of real student exp...
Numerical Analysis Using R : Solutions to ODEs and PDEs
This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.
Leokadiya Kashperova
Leokadiya Kashperova's romantic compositions were highly regarded by Rimsky-Korsakov, César Cui, and by Balakirev whose works she premiered and recorded. In 1907, Kashperova performed her own compositions to critical acclaim in Leipzig, Berlin and London. After the 1917 Revolution following her death in 1940, her name joined her fine music in historical anonymity and oblivion. This Element is the result of twenty years' research culminating in eight study-visits by the author to St Petersburg, Moscow and the Yaroslavl/Kostroma region. The Biography (section 1) is the first ever written about this composer. Kashperova's Memoirs (section 2) and her Recollections of Anton Rubinstein (section 3) are made available in translation for the first time. Together with a new edition of her compositions (Boosey & Hawkes, London) this Element aims to support the restoration of Kashperova to her rightful place in music history as Russia's foremost female composer of the early twentieth century.
