967 research outputs found
Recommended from our members
The elliptic sine-Gordon equation: a nonlinear elliptic integrable PDE
No full textIn this paper, we summarise this recent progress to underline the features specific to this nonlinear elliptic case, and we give a new classification of boundary conditions on the semistrip that satisfy a necessary condition for yielding a boundary value problem can be effectively linearised. This classification is based on formulation the equation in terms of an alternative Lax pair
Clinton F and Beatrice Ward
No full textClinton F. and Beatrice Ward Parvin of Old Manatee (East Bradenton). She is the author of "I Remember, a family memoir." Copy on file at the Manatee County Central Library
La Croix et les idoles d'après l'apologie d'Athanase 'Contre les paiens'
Full text linkThrough the analysis of some significant passages of Athanasius' apology «Against the Pagans on the Incarnation of the Word», and also thanks to their comparison with other selected texts by the same author, P. F. Beatrice tries to date this still problematic work to around the middle of the fourth century. In particular, he intends to show that Athanasius did know the Neoplatonic philosophy of his time sufficiently well and that the target of his polemic was especially Porphyry. But anti-pagan criticism also supplies Athanasius with a substantial support in his struggle with the Arian heresy which had been shared by his great precursor and adversary Eusebius of Caesarea
750 years on : Beatrice of Nazareth revisited
No full textThis introductory essay to the special issue Beatrice of Nazareth (1200-1268). Milieu – Mysticism – Influence first offers a brief presentation of the life and literary legacy of the famous Cistercian nun, mystic and author who takes centre stage in the present volume. It then elucidates the emergence and subsequent international popularity of Beatrice studies, and discusses the diverse approaches that can be discerned in the current multidisciplinary scholarship on Beatrice. Finally, it explains how the five essays which are collected in this volume open up new avenues for research into the thirteenth-century Cistercian world and for future Beatrice studies
Beatrice of Nazareth
No full textAbstract: Beatrice of Nazareth (1200-1268) belongs to the first generation of women who wrote in Middle Dutch. She lived most of her life as a Cistercian nun in the Dutch-speaking area of the Duchy of Brabant (now a region in Belgium and the Netherlands). Besides having produced an extensive account of her life, because of which she is the first female vernacular author in the Middle Ages to write in the autobiographical genre, Beatrice also wrote several spiritual and mystical texts, both for herself and in the context of spiritual instruction. Although all but one of the original writings are now lost, to some degree her texts have still been preserved in Latin in the form of a medieval vita, the Vita Beatricis. This legacy complicates efforts to discern the exact number of Beatrice\u2019s writings, their content, and their purpose
Beatrice Bishop Berle Award
No full textThe Beatrice Bishop Berle Award was presented to Dr. Vincent P. Dole in 1995 by the Albert Einstein College of Medicine, Division of Substance Abuse
A gift from Mary Lee Gupta
Beatrice Bishop Berle (1902-1993), was an American physician, teacher and author. Dr. Berle, who ran a neighborhood health clinic in East Harlem from 1953 until 1962, took a pioneering approach to family medicine by treating the entire family for the effects of heroin abuse by a member. She also helped to establish methadone maintenance as a significant treatment for heroin abuse.
Photo by Lubosh Stepanekhttps://digitalcommons.rockefeller.edu/artifacts-ephemera/1041/thumbnail.jp
How to make your stories exciting
No full textA blog post on the Scottish Book Trust website. Author Beatrice Colin provides creative writing tips for aspiring young authors
Recommended from our members
Spectral analysis of the elliptic sine-Gordon equation in the quarter plane
No full textWe study the elliptic sine-Gordon equation in the quarter plane using a spectral transform approach. We determine the Riemann-Hilbert problem associated with well-posed boundary value problems in this domain and use it to derive a formal representation of the solution. Our analysis is based on a generalization of the usual inverse scattering transform recently introduced by Fokas for studying linear elliptic problems
Recommended from our members
Initial boundary value problems for the nonlinear Schrödinger equation
No full textA new spectral method for solving initial boundary value problems for linear and integrable nonlinear partial differential equations in two independent variables is applied to the nonlinear Schrödinger equation and to its linearized version in the domain {x≥l(t), t≥0}. We show that there exist two cases: (a) if l″(t)0, then the Riemann-Hilbert problem is replaced by a respective scalar or matrix problem on a time-independent domain. In both cases, the solution is expressed in a spectrally decomposed form
Recommended from our members
Advances in the study of boundary value problems for nonlinear integrable PDEs
No full textIn this review I summarise some of the most significant advances of the last decade in the analysis and solution of boundary value problems for integrable partial differential equations in two independent variables. These equations arise widely in mathematical physics, and in order to model realistic applications, it is essential to consider bounded domain and inhomogeneous boundary conditions.
I focus specifically on a general and widely applicable approach, usually referred to as the Unified Transform or Fokas Transform, that provides a substantial generalisation of the classical Inverse Scattering Transform. This approach preserves the conceptual efficiency and aesthetic appeal of the more classical transform approaches, but presents a distinctive and important difference. While the Inverse Scattering Transform follows the "separation of variables" philosophy, albeit in a nonlinear setting, the Unified Transform is a based on the idea of synthesis, rather than separation, of variables.
I will outline the main ideas in the case of linear evolution equations, and then illustrate their generalisation to certain nonlinear cases of particular significance
- …
