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B-series : algebraic analysis of numerical methods / / John C. Butcher
| B-series : algebraic analysis of numerical methods / / John C. Butcher |
| Autore | Butcher J. C (John Charles), <1933-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 310 pages) : illustrations |
| Disciplina | 518.6 |
| Collana | Springer series in computational mathematics |
| Soggetto topico |
Runge-Kutta formulas
Fórmules de Runge-Kutta |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-70956-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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-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. |
| Record Nr. | UNISA-996466544103316 |
Butcher J. C (John Charles), <1933->
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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B-series : algebraic analysis of numerical methods / / John C. Butcher
| B-series : algebraic analysis of numerical methods / / John C. Butcher |
| Autore | Butcher J. C (John Charles), <1933-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 310 pages) : illustrations |
| Disciplina | 518.6 |
| Collana | Springer series in computational mathematics |
| Soggetto topico |
Runge-Kutta formulas
Fórmules de Runge-Kutta |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-70956-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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-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. |
| Record Nr. | UNINA-9910483436503321 |
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Butcher J. C (John Charles), <1933->
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Flettner rotor ship in the light of the Kutta-Joukowski theory and of experimental results / / by Frank Rizzo
| The Flettner rotor ship in the light of the Kutta-Joukowski theory and of experimental results / / by Frank Rizzo |
| Autore | Rizzo Frank |
| Pubbl/distr/stampa | [Washington, D.C.] : , : National Advisory Committee for Aeronautics, , 1925 |
| Descrizione fisica | 1 online resource (22 pages, 6 unnumbered pages) : illustrations |
| Collana | Technical notes / National Advisory Committee for Aeronautics |
| Soggetto topico |
Rotor ships
Bernoulli hypothesis Runge-Kutta formulas |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910713546903321 |
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Rizzo Frank
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| [Washington, D.C.] : , : National Advisory Committee for Aeronautics, , 1925 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Linear discrete parabolic problems / Nikolai Yu. Bakaev
| Linear discrete parabolic problems / Nikolai Yu. Bakaev |
| Autore | Bakaev, Nikolai Yu. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam : Elsevier, 2006 |
| Descrizione fisica | xv, 286 p. ; 25 cm |
| Disciplina | 515.392 |
| Collana | North-Holland mathematics studies, 0304-0208 ; 203 |
| Soggetto topico |
Stability
Runge-Kutta formulas Computer science - Mathematics Differential equations, Linear Differential equations, Parabolic Banach spaces Parabolic operators |
| ISBN | 0444521402 |
| Classificazione |
AMS 35K
AMS 34G LC QA1.N833 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001489759707536 |
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Bakaev, Nikolai Yu.
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| Amsterdam : Elsevier, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Metodi Runge-Kutta partizionati per sistemi di reazione-diffusione. Tesi di laurea in Analisi Numerica / laureanda Angelica Gnoni ; relatrice Ivonne Sgura
| Metodi Runge-Kutta partizionati per sistemi di reazione-diffusione. Tesi di laurea in Analisi Numerica / laureanda Angelica Gnoni ; relatrice Ivonne Sgura |
| Autore | Gnoni, Angelica |
| Pubbl/distr/stampa | Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea Magistrale in Matematica, a.a. 2011-12 |
| Descrizione fisica | 119 p. ; 29 cm |
| Altri autori (Persone) | Sgura, Ivonne |
| Soggetto topico |
Differential equations - Numerical solutions
Runge-Kutta formulas |
| Classificazione |
AMS 65L06
AMS 65L20 AMS 65M06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991002103759707536 |
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Gnoni, Angelica
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| Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea Magistrale in Matematica, a.a. 2011-12 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Un metodo pseudo Runge-Kutta del quarto ordine
| Un metodo pseudo Runge-Kutta del quarto ordine |
| Autore | Costabile, Francesco |
| Pubbl/distr/stampa | Roma : Marves, 1969 |
| Descrizione fisica | 12 p. ; 25 cm |
| Collana | Istituto per le applicazioni del calcolo. Pubblicazioni, ser. 3, n. 20 |
| Soggetto topico |
Differential equations - Numerical solutions
Runge-Kutta formulas |
| Classificazione | LC QA3.R7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991001345259707536 |
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Costabile, Francesco
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| Roma : Marves, 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The numerical analysis of ordinary differential equations : Runge-Kutta and general linear methods / J. C. Butcher
| The numerical analysis of ordinary differential equations : Runge-Kutta and general linear methods / J. C. Butcher |
| Autore | Butcher, J. C. |
| Descrizione fisica | xv, 512 p. ; 23 cm. |
| Disciplina | 515.352 |
| Soggetto topico |
Differential equations-numerical solutions
Runge-Kutta formulas |
| ISBN | 0471910465 |
| Classificazione |
AMS 65L06
QA372.B9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001188889707536 |
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Butcher, J. C.
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The numerical solution of differential-algebraic systems by Runge-Kutta methods. / / Ernst Hairer, Michel Roche, Christian Lubich
| The numerical solution of differential-algebraic systems by Runge-Kutta methods. / / Ernst Hairer, Michel Roche, Christian Lubich |
| Autore | Hairer E (Ernst) |
| Edizione | [1st ed. 1989.] |
| Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1989] |
| Descrizione fisica | 1 online resource (X, 146 p.) |
| Disciplina | 511.4 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential-algebraic equations - Numerical solutions
Numerical analysis Runge-Kutta formulas |
| ISBN | 3-540-46832-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Description of differential-algebraic problems -- Runge-Kutta methods for differential-algebraic equations -- Convergence for index 1 problems -- Convergence for index 2 problems -- Order conditions of Runge-Kutta methods for index 2 systems -- Convergence for index 3 problems -- Solution of nonlinear systems by simplified Newton -- Local error estimation -- Examples of differential-algebraic systems and their solution. |
| Record Nr. | UNISA-996466626303316 |
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Hairer E (Ernst)
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| Berlin, Germany : , : Springer-Verlag, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Numerical solution of time-dependent advection-diffusion-reaction equations / Willem Hundsdorfer, Jan Verwer
| Numerical solution of time-dependent advection-diffusion-reaction equations / Willem Hundsdorfer, Jan Verwer |
| Autore | Hundsdorfer, W. H. |
| Pubbl/distr/stampa | Berlin : Springer, c2003 |
| Descrizione fisica | x, 471 p. : ill. ; 24 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) | Verwer, Jan G.author |
| Collana | Springer series in computational mathematics, 0179-3632 ; 33 |
| Soggetto topico |
Differential equations - Numerical solutions
Differential equations, Partial - Numerical solutions Stiff computation (Differential equations) Runge-Kutta formulas |
| ISBN | 3540034404 |
| Classificazione |
AMS 65-XX
AMS 65L05 AMS 65M LC QA372.H878 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002546789707536 |
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Hundsdorfer, W. H.
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| Berlin : Springer, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Stability of Runge-Kutta methods for stiff nonlinear differential equations / K. Dekker and J. G. Verwer
| Stability of Runge-Kutta methods for stiff nonlinear differential equations / K. Dekker and J. G. Verwer |
| Autore | Dekker, Kees |
| Pubbl/distr/stampa | Amsterdam ; New York : North-Holland, 1984 |
| Descrizione fisica | ix, 307 p. ; 25 cm. |
| Disciplina | 515.355 |
| Altri autori (Persone) | Verwer, Jan G. |
| Collana | CWI monograph ; 2 |
| Soggetto topico |
Nonlinear differential equations-numerical solutions
Runge-Kutta formulas Stiff computation (Differential equations) |
| ISBN | 0444876340 |
| Classificazione |
AMS 65H
AMS 65L AMS 65M QA372.D39 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001369869707536 |
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Dekker, Kees
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| Amsterdam ; New York : North-Holland, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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