Unerhörte Klänge : zur performativen Analyse und Wahrnehmung posttonaler Musik und ihren historischen Voraussetzungen / / Christian Utz

• Record Nr.: UNISA996543372603316
• Autore: Utz Christian
• Pubbl/distr/stampa: Baden-Baden : , : Georg Olms Verlag, , 2023
• ISBN: 3-487-42366-9
• Descrizione fisica: 1 online resource (490 pages) : illustrations
• Collana: Studien und Materialien zur Musikwissenschaft, , 0176-0033 ; ; Band 125
• Disciplina: 780.15
• Soggetti: Music appreciation; Musical analysis
• Lingua di pubblicazione: Tedesco
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references (pages 433-478) and index.
• Sommario/riassunto: Das Buch versucht ein in der Musik des 20. und 21. Jahrhunderts zunehmend an Bedeutung gewinnendes Verständnis von "Musik als Wahrnehmungskunst" (Helmut Lachenmann) für die Musikwissenschaft fruchtbar zu machen: Die ineinander verschränkten Konzepte der performativen Analyse und des performativen Hörens rücken Wahrnehmungsprozesse ins Zentrum musikologischer Methodik. Zum einen wird dabei die zentrale Stellung von Klang, Zeit und Raum in der neuen Musik seit 1900 in breite musikhistorische und -ästhetische Diskurse eingebettet, zum anderen wird mit dem Prinzip der musikalischen Morphosyntax klangliche Materialität als Ausgangspunkt hörend-analytischer Aktivität begriffen. Wahrnehmung posttonaler Musik ist als performative Aktivität durch die Erfahrungen des Alltags- und Musikhörens vielfältig ausgestaltbar und dabei durch eine Verflechtung von morphologischen und metaphorischen Schichten geprägt. Die Analysen werfen so neue Perspektiven auf ein breites Spektrum posttonaler Instrumentalmusik von Arnold Schönberg, Edgard Varèse, Giacinto Scelsi, Bernd Alois Zimmermann, György Ligeti, Pierre Boulez, Morton Feldman, György Kurtág, Helmut Lachenmann, Brian Ferneyhough, Gérard Grisey, Salvatore Sciarrino und Isabel Mundry.

Advances in the homotopy analysis method / / editor, Shijun Liao, Shanghai Jiao Tong University, China

• Record Nr.: UNINA9910790972603321
• Pubbl/distr/stampa: New Jersey : , : World Scientific, , [2014]; �2014
• ISBN: 981-4551-25-2
• Descrizione fisica: 1 online resource (viii, 417 pages) : illustrations
• Collana: Gale eBooks
• Disciplina: 514/.24
• Soggetti: Homotopy theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Preface; Contents; 1. Chance and Challenge: A Brief Review of Homotopy Analysis Method; 1.1. Background; 1.2. A brief history of the HAM; 1.3. Some advances of the HAM; 1.3.1. Generalized zeroth-order deformation equation; 1.3.2. Spectral HAM and complicated auxiliary operator; 1.3.3. Predictor HAM and multiple solutions; 1.3.4. Convergence condition and HAM-based software; 1.4. Relationships to other methods; 1.5. Chance and challenge: some suggested problems; 1.5.1. Periodic solutions of chaotic dynamic systems; 1.5.2. Periodic orbits of Newtonian three-body problem; 1.5.3. Viscous flow past a sphere1.5.4. Viscous flow past a cylinder; 1.5.5. Nonlinear water waves; Acknowledgment; References; 2. Predictor Homotopy Analysis Method (PHAM); 2.1. Preliminaries; 2.2. Description of the method; 2.2.1. Zeroth-order deformation equation; 2.2.2. High-order deformation equation; 2.2.3. Prediction of the multiple solutions; 2.3. Convergence analysis; 2.4. Some illustrative models; 2.4.1. Nonlinear problem arising in heat transfer; 2.4.1.1. Model and exact solutions; 2.4.1.2. Prediction of dual solutions by the rule of multiplicity of solutions; 2.4.1.3. Effective calculation of the two branches of solution2.4.2. Strongly nonlinear Bratu's equation; 2.4.2.1. Problem and exact solutions; 2.4.2.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.2.3. Effective calculation of the two branches of solution; 2.4.3. Nonlinear reaction-diffusion model; ; 2.4.3.1. Equation and exact solutions; 2.4.3.2. Prediction of multiple solutions by the rule of multiplicity of solutions; 2.4.3.3. Calculation of the two branches of solution; 2.4.4. Mixed convection flows in a vertical channel; 2.4.4.1. Prediction of dual solutions by the rule of multiplicity of solutions2.4.4.2. Effective calculation of the two branches of solution; 2.4.4.3. Further results; 2.5. Concluding remarks; References; 3. Spectral Homotopy Analysis Method for Nonlinear Boundary Value Problems; 3.1. Introduction; 3.2. Basic ideas of the spectral homotopy analysis method; 3.3. Some applications of the spectral homotopy analysis method; 3.3.1. Falkner-Skan boundary layer flow; 3.3.2. Eigenvalue problems; 3.3.3. Boundary value problems with multiple solutions; 3.3.4. Coupled nonlinear boundary value equations
• Sommario/riassunto: Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness differentiates the HAM from all other analytic approximation methods. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity. This book, edited by the pioneer and founder of the HAM, describes the current adva