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Record Nr. |
UNINA9910483436503321 |
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Autore |
Butcher J. C (John Charles), <1933-> |
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Titolo |
B-series : algebraic analysis of numerical methods / / John C. Butcher |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (x, 310 pages) : illustrations |
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Collana |
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Springer series in computational mathematics ; ; Volume 55 |
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Disciplina |
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Soggetti |
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Runge-Kutta formulas |
Fórmules de Runge-Kutta |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Intro -- Foreword -- Preface -- Contents -- Chapter 1 Differential equations, numerical methods and algebraic analysis -- 1.1 Introduction -- 1.2 Differential equations -- 1.3 Examples of differential equations -- 1.4 The Euler method -- 1.5 Runge-Kutta methods -- 1.6 Multivalue methods -- 1.7 B-series analysis of numerical methods -- Chapter 2 Trees and forests -- 2.1 Introduction to trees, graphs and forests -- 2.2 Rooted trees and unrooted (free) trees -- 2.3 Forests and trees -- 2.4 Tree and forest spaces -- 2.5 Functions of trees -- 2.6 Trees, partitions and evolutions -- 2.7 Trees and stumps -- 2.8 Subtrees, supertrees and prunings -- 2.9 Antipodes of trees and forests -- Chapter 3 B-series and algebraic analysis -- 3.1 Introduction -- 3.2 Autonomous formulation and mappings -- 3.3 Fréchet derivatives and Taylor series -- 3.4 Elementary differentials and B-series -- 3.5 B-series for flow_h and implicit_h -- 3.6 Elementary weights and the order of Runge-Kutta methods -- 3.7 Elementary differentials based on Kronecker products -- 3.8 Attainable values of elementary weights and differentials -- 3.9 Composition of B-series -- Chapter 4 Algebraic analysis and integration methods -- 4.1 Introduction -- 4.2 Integration methods -- 4.3 Equivalence and reducibility of Runge-Kutta methods -- 4.4 Equivalence and reducibility of integration methods -- 4.5 Compositions of Runge- |
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Kutta methods -- 4.7 The B-group and subgroups -- 4.8 Linear operators on B* and B^0 -- Chapter 5 B-series and Runge-Kutta methods -- 5.1 Introduction -- 5.2 Order analysis for scalar problems -- 5.3 Stability of Runge-Kutta methods -- 5.4 Explicit Runge-Kutta methods -- 5.5 Attainable order of explicit methods -- 5.6 Implicit Runge-Kutta methods -- 5.7 Effective order methods -- Chapter 6 B-series and multivalue methods -- 6.1 Introduction. |
6.2 Survey of linear multistep methods -- 6.3 Motivations for general linear methods -- 6.4 Formulation of general linear methods -- 6.5 Order of general linear methods -- 6.6 An algorithm for determining order -- Chapter 7 B-series and geometric integration -- 7.1 Introduction -- 7.2 Hamiltonian and related problems -- 7.3 Canonical and symplectic Runge-Kutta methods -- 7.4 G-symplectic methods -- 7.5 Derivation of a fourth order method -- 7.6 Construction of a sixth order method -- 7.7 Implementation -- 7.8 Numerical simulations -- 7.9 Energy preserving methods -- Answers to the exercises -- References -- Index. |
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2. |
Record Nr. |
UNINA9910149486103321 |
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Autore |
Fastermann Petra |
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Titolo |
3D-Drucken : Wie die generative Fertigungstechnik funktioniert / / von Petra Fastermann |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[2nd ed. 2016.] |
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Descrizione fisica |
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1 online resource (XIV, 146 S. 24 Abb., 7 Abb. in Farbe.) |
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Collana |
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Technik im Fokus, , 2194-0770 |
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Disciplina |
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Soggetti |
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Technology |
Manufactures |
Popular Science in Technology |
Manufacturing, Machines, Tools, Processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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Aus dem Inhalt: Einleitung: 3D-Druck als neue industrielle Revolution? |
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-- Was ist 3D-Druck? -- Wie hat sich 3D-Druck entwickelt? -- Welche 3D-Druck-Technologien gibt es? -- Wofür eignet sich welche 3D-Druck-Technologie am besten? -- 3D-CAD-Zeichensoftware -- FabLabs – wie sich in offenen Werkstätten weitere Möglichkeiten erschließen. |
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Sommario/riassunto |
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Das 3D-Drucken entwickelt sich rasant. Längst ist der 3D-Druck für Interessierte eine Fertigungs-Technologie, die sie selbst nutzen möchten. Doch welche Möglichkeiten bietet 3D-Druck? Welche neuen Entwicklungen gibt es? Wie hat sich 3D-Druck etabliert? Was ist in den letzten Jahren selbstverständlich geworden? Was ist verbessert worden? Mit der zweiten, überarbeiteten und aktualisierten Auflage beantwortet die Autorin diese Fragen. Die 3D-Druck-Technologie wird – auch für Nicht-Techniker – verständlich erklärt. Hinweise auf kostenlose 3D-CAD-Software-Programme und weiterführende Literatur laden dazu ein, das Gelesene zu vertiefen und selbst anzuwenden. |
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