Bücher von Andrew Peterson

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "e;tuned"e; approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

The Next Ten Minutes provides practical and entertaining ways to rethink the everyday and experience the transformative power of the present moment—turning mundane activities into meditative opportunities for self-awareness and personal growth. The desire to discover meaning in our lives is a powerful motivator for many people. Some turn to psychotherapy and counseling for help, some turn to spiritual teachings, and many turn to both. The Next Ten Minutes is the guide to help us discover the seeds of transformation and meaning in even the most ordinary routines. The Next Ten Minutes consists of a collection of exercises originally created for use in Dr. Peterson’s successful counseling practice. Rather than taking readers out of the everyday, Dr. Peterson invites them to move more deeply into the familiar tasks of ordinary life, such as turning simple breathing, eating, physical love, or throwing out the trash into meditative exercises that can transform your day. Based on both Buddhist philosophy and proven psychology techniques, these succinct and accessible meditations also offer simple and effective methods for therapeutic counseling and personal growth. The power to seize the day is but a few simple steps away.

Drawing on empirical data from six Australian secondary schools, the author examines how school leaders and teachers understand global citizenship, how they translate this into their practice, and how students experience and make sense of global citizenship education.

This book explores how and why civility contributes to a vibrant democratic society, and how it can be fostered and cultivated as a key part of democratic education.

This book makes a defence of compassion as an essential and significant quality that should be at the heart of the education of young people. Understanding and justifying compassion as a virtue, this book argues that compassion is a virtue central to all human relationships from the familial, to the communal and to the global.