Algebraic approaches to partial differential equations / / Xiaoping Xu |
Autore | Xu Xiaoping |
Edizione | [1st ed.] |
Pubbl/distr/stampa | New York, : Springer, 2013 |
Descrizione fisica | 1 online resource (xxiv, 394 pages) |
Disciplina | 515.353 |
Collana | Springer Monographs in Mathematics |
Soggetto topico |
Differential equations
Differential-algebraic equations |
ISBN | 3-642-36874-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Introduction -- Ordinary Differential Equations -- Partial Differential Equations -- Bibliography -- Index. |
Record Nr. | UNINA-9910739404503321 |
Xu Xiaoping | ||
New York, : Springer, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Algebraic equations : formulas, proportions & operations / / author, S.B. Kizlik |
Autore | Kizlik S. B. |
Pubbl/distr/stampa | [Place of publication not identified] : , : BarCharts, Inc., , 2014 |
Descrizione fisica | 1 online resource (6 pages) : illustrations |
Disciplina | 512.56 |
Soggetto topico | Differential-algebraic equations |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4232-2308-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910466948503321 |
Kizlik S. B. | ||
[Place of publication not identified] : , : BarCharts, Inc., , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic equations : formulas, proportions & operations / / author, S.B. Kizlik |
Autore | Kizlik S. B. |
Pubbl/distr/stampa | [Place of publication not identified] : , : BarCharts, Inc., , 2014 |
Descrizione fisica | 1 online resource (6 pages) : illustrations |
Disciplina | 512.56 |
Soggetto topico | Differential-algebraic equations |
ISBN | 1-4232-2308-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793072003321 |
Kizlik S. B. | ||
[Place of publication not identified] : , : BarCharts, Inc., , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic equations : formulas, proportions & operations / / author, S.B. Kizlik |
Autore | Kizlik S. B. |
Pubbl/distr/stampa | [Place of publication not identified] : , : BarCharts, Inc., , 2014 |
Descrizione fisica | 1 online resource (6 pages) : illustrations |
Disciplina | 512.56 |
Soggetto topico | Differential-algebraic equations |
ISBN | 1-4232-2308-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910817932703321 |
Kizlik S. B. | ||
[Place of publication not identified] : , : BarCharts, Inc., , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential-Algebraic Equations [[electronic resource] ] : Analysis and Numerical Solution / / Peter Kunkel, Volker Mehrmann |
Autore | Kunkel Peter |
Pubbl/distr/stampa | Zuerich, Switzerland, : European Mathematical Society Publishing House, 2006 |
Descrizione fisica | 1 online resource (385 pages) |
Collana | EMS Textbooks in Mathematics (ETB) |
Soggetto topico |
Differential-algebraic equations
Boundary value problems |
ISBN | 3037195177 |
Classificazione | 34-xx65-xx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ; 1. Introduction -- ; 2. Linear differential-algebraic equations with constant coefficients -- ; 3. Linear differential-algebraic equations with variable coefficients -- ; 4. Nonlinear differential-algebraic equations -- ; 5. Numerical methods for strangeness-free problems -- ; 6. Numerical methods for index reduction -- ; 7. Boundary value problems -- ; 8. Software for the numerical solution of differential-algebraic equations. |
Record Nr. | UNINA-9910151937903321 |
Kunkel Peter | ||
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential-algebraic equations : analysis and numerical solution / Peter Kunkel, Volker Mehrmann |
Autore | Kunkel, Peter |
Pubbl/distr/stampa | Zürich, Switzerland : European Mathematical Society, c2006 |
Descrizione fisica | viii, 377 p. : ill. ; 24 cm |
Disciplina | 515.35 |
Altri autori (Persone) | Mehrmann, Volker Ludwigauthor |
Collana | EMS textbooks in mathematics |
Soggetto topico |
Differential-algebraic equations
Boundary value problems |
ISBN |
3037190175
9783037190173 |
Classificazione |
AMS 34A09
AMS 65L80 LC QA372.5.K86 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000331429707536 |
Kunkel, Peter | ||
Zürich, Switzerland : European Mathematical Society, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Differential-algebraic equations : a projector based analysis / / Rene Lamour, Roswitha Marz, Caren Tischendorf |
Autore | Lamour Rene |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, : Springer, 2013 |
Descrizione fisica | 1 online resource (xxvii, 649 pages) : illustrations (some color) |
Disciplina | 515.38 |
Altri autori (Persone) |
MarzRoswitha
TischendorfCaren |
Collana | Differential-algebraic equations forum |
Soggetto topico | Differential-algebraic equations |
ISBN |
1-299-19751-5
3-642-27555-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. I. Projector based approach -- pt. II. Index-1 DAEs : analysis and numerical treatment -- pt. III. Computational aspects -- pt. IV. Advanced topics. |
Record Nr. | UNINA-9910438153303321 |
Lamour Rene | ||
New York, : Springer, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential-algebraic systems [[electronic resource] ] : analytical aspects and circuit applications / / Ricardo Riaza |
Autore | Riaza Ricardo |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (344 p.) |
Disciplina |
512.56
512/.56 621.3815 |
Soggetto topico |
Differential-algebraic equations
Electric circuits - Mathematical models |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-93401-1
9786611934019 981-279-181-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Introduction; 1.1 Historical remarks: Different origins, different names; 1.2 DAE analysis; 1.2.1 Indices; 1.2.2 Dynamics and singularities; 1.2.3 Numerical aspects; 1.3 State vs. semistate modeling; 1.4 Formulations; 1.4.1 Input-output descriptions; 1.4.2 Leading terms; 1.4.3 Semiexplicit, semilinear and quasilinear DAEs; 1.4.3.1 Semiexplicit and semilinear DAEs; 1.4.3.2 Hessenberg DAEs; 1.4.3.3 Quasilinear DAEs; 1.5 Contents and structure of the book; Analytical aspects of DAEs; 2. Linear DAEs and projector-based methods; 2.1 Linear time-invariant DAEs
2.1.1 Matrix pencils and the Kronecker canonical form 2.1.2 Solving linear time-invariant DAEs via the KCF; 2.1.3 A glance at projector-based techniques; 2.1.3.1 Index one characterization via projectors; 2.1.3.2 Decoupling of linear time-invariant index one DAEs; 2.1.3.3 Geometrical remarks; 2.1.3.4 Higher index problems; 2.1.3.5 Some auxiliary properties of the projectors Pi and Qi; 2.2 Properly stated linear time-varying DAEs; 2.2.1 On standard form index one problems; 2.2.2 Properly stated leading terms; 2.2.3 P-projectors: Matrix chain and the tractability index; 2.2.3.1 Matrix chain 2.2.3.2 The tractability index of regular linear DAEs 2.2.4 The Π-framework; 2.2.4.1 Alternative chain construction; 2.2.4.2 Equivalence of the P- and Π-chains; 2.2.4.3 Some properties of the projectors Πi and Mi; 2.2.5 Decoupling; 2.2.6 A tutorial example; 2.2.6.1 Index one; 2.2.6.2 Index two; 2.2.6.3 Index three; 2.2.7 Regular points; 2.3 Standard formlinear DAEs; 2.3.1 The tractability index of standard form DAEs; 2.3.2 Decoupling; 2.3.3 Time-invariant problems revisited; 2.4 Other approaches for linear DAEs: Reduction techniques; 3. Nonlinear DAEs and reduction methods 3.1 Semiexplicit index one DAEs 3.2 Hessenberg systems; 3.3 Some notions from differential geometry; 3.4 Quasilinear DAEs: The geometric index; 3.4.1 The framework of Rabier and Rheinboldt; 3.4.2 Index zero and index one points; 3.4.2.1 Index zero points; 3.4.2.2 Index one points; 3.4.3 Higher index points; 3.4.3.1 Index two points; 3.4.3.2 Index ν points; 3.4.4 Manifold sequences and locally regular DAEs; 3.4.4.1 Regular manifold, solution manifold, and locally regular DAEs; 3.4.4.2 Manifold sequences within different reduction approaches; 3.4.5 Local equivalence 3.4.5.1 The index: Independence of reduction pairs and invariance 3.4.5.2 C-conjugacy of state space descriptions; 3.4.5.3 On the link between local equivalence and reduction operators; 3.4.6 Examples; 3.4.6.1 Semiexplicit index one DAEs; 3.4.6.2 Hessenberg DAEs; 3.4.6.3 A locally regular DAE with di.erent indices; 3.4.7 Nonautonomous problems; 3.4.7.1 Geometric index and reduction in the nonautonomous context; 3.4.7.2 Semiexplicit index one DAEs; 3.4.7.3 Nonautonomous Hessenberg DAEs; 3.4.7.4 Schur reduction and semiexplicit DAEs; 3.5 Dynamical aspects 3.6 Reduction methods for fully nonlinear DAEs |
Record Nr. | UNINA-9910453278503321 |
Riaza Ricardo | ||
Singapore ; ; Hackensack, NJ, : World Scientific, 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential-algebraic systems [[electronic resource] ] : analytical aspects and circuit applications / / Ricardo Riaza |
Autore | Riaza Ricardo |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (344 p.) |
Disciplina |
512.56
512/.56 621.3815 |
Soggetto topico |
Differential-algebraic equations
Electric circuits - Mathematical models |
ISBN |
1-281-93401-1
9786611934019 981-279-181-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Introduction; 1.1 Historical remarks: Different origins, different names; 1.2 DAE analysis; 1.2.1 Indices; 1.2.2 Dynamics and singularities; 1.2.3 Numerical aspects; 1.3 State vs. semistate modeling; 1.4 Formulations; 1.4.1 Input-output descriptions; 1.4.2 Leading terms; 1.4.3 Semiexplicit, semilinear and quasilinear DAEs; 1.4.3.1 Semiexplicit and semilinear DAEs; 1.4.3.2 Hessenberg DAEs; 1.4.3.3 Quasilinear DAEs; 1.5 Contents and structure of the book; Analytical aspects of DAEs; 2. Linear DAEs and projector-based methods; 2.1 Linear time-invariant DAEs
2.1.1 Matrix pencils and the Kronecker canonical form 2.1.2 Solving linear time-invariant DAEs via the KCF; 2.1.3 A glance at projector-based techniques; 2.1.3.1 Index one characterization via projectors; 2.1.3.2 Decoupling of linear time-invariant index one DAEs; 2.1.3.3 Geometrical remarks; 2.1.3.4 Higher index problems; 2.1.3.5 Some auxiliary properties of the projectors Pi and Qi; 2.2 Properly stated linear time-varying DAEs; 2.2.1 On standard form index one problems; 2.2.2 Properly stated leading terms; 2.2.3 P-projectors: Matrix chain and the tractability index; 2.2.3.1 Matrix chain 2.2.3.2 The tractability index of regular linear DAEs 2.2.4 The Π-framework; 2.2.4.1 Alternative chain construction; 2.2.4.2 Equivalence of the P- and Π-chains; 2.2.4.3 Some properties of the projectors Πi and Mi; 2.2.5 Decoupling; 2.2.6 A tutorial example; 2.2.6.1 Index one; 2.2.6.2 Index two; 2.2.6.3 Index three; 2.2.7 Regular points; 2.3 Standard formlinear DAEs; 2.3.1 The tractability index of standard form DAEs; 2.3.2 Decoupling; 2.3.3 Time-invariant problems revisited; 2.4 Other approaches for linear DAEs: Reduction techniques; 3. Nonlinear DAEs and reduction methods 3.1 Semiexplicit index one DAEs 3.2 Hessenberg systems; 3.3 Some notions from differential geometry; 3.4 Quasilinear DAEs: The geometric index; 3.4.1 The framework of Rabier and Rheinboldt; 3.4.2 Index zero and index one points; 3.4.2.1 Index zero points; 3.4.2.2 Index one points; 3.4.3 Higher index points; 3.4.3.1 Index two points; 3.4.3.2 Index ν points; 3.4.4 Manifold sequences and locally regular DAEs; 3.4.4.1 Regular manifold, solution manifold, and locally regular DAEs; 3.4.4.2 Manifold sequences within different reduction approaches; 3.4.5 Local equivalence 3.4.5.1 The index: Independence of reduction pairs and invariance 3.4.5.2 C-conjugacy of state space descriptions; 3.4.5.3 On the link between local equivalence and reduction operators; 3.4.6 Examples; 3.4.6.1 Semiexplicit index one DAEs; 3.4.6.2 Hessenberg DAEs; 3.4.6.3 A locally regular DAE with di.erent indices; 3.4.7 Nonautonomous problems; 3.4.7.1 Geometric index and reduction in the nonautonomous context; 3.4.7.2 Semiexplicit index one DAEs; 3.4.7.3 Nonautonomous Hessenberg DAEs; 3.4.7.4 Schur reduction and semiexplicit DAEs; 3.5 Dynamical aspects 3.6 Reduction methods for fully nonlinear DAEs |
Record Nr. | UNINA-9910782491403321 |
Riaza Ricardo | ||
Singapore ; ; Hackensack, NJ, : World Scientific, 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential-algebraic systems : analytical aspects and circuit applications / / Ricardo Riaza |
Autore | Riaza Ricardo |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, 2008 |
Descrizione fisica | 1 online resource (344 p.) |
Disciplina |
512.56
512/.56 621.3815 |
Soggetto topico |
Differential-algebraic equations
Electric circuits - Mathematical models |
ISBN |
1-281-93401-1
9786611934019 981-279-181-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1. Introduction; 1.1 Historical remarks: Different origins, different names; 1.2 DAE analysis; 1.2.1 Indices; 1.2.2 Dynamics and singularities; 1.2.3 Numerical aspects; 1.3 State vs. semistate modeling; 1.4 Formulations; 1.4.1 Input-output descriptions; 1.4.2 Leading terms; 1.4.3 Semiexplicit, semilinear and quasilinear DAEs; 1.4.3.1 Semiexplicit and semilinear DAEs; 1.4.3.2 Hessenberg DAEs; 1.4.3.3 Quasilinear DAEs; 1.5 Contents and structure of the book; Analytical aspects of DAEs; 2. Linear DAEs and projector-based methods; 2.1 Linear time-invariant DAEs
2.1.1 Matrix pencils and the Kronecker canonical form 2.1.2 Solving linear time-invariant DAEs via the KCF; 2.1.3 A glance at projector-based techniques; 2.1.3.1 Index one characterization via projectors; 2.1.3.2 Decoupling of linear time-invariant index one DAEs; 2.1.3.3 Geometrical remarks; 2.1.3.4 Higher index problems; 2.1.3.5 Some auxiliary properties of the projectors Pi and Qi; 2.2 Properly stated linear time-varying DAEs; 2.2.1 On standard form index one problems; 2.2.2 Properly stated leading terms; 2.2.3 P-projectors: Matrix chain and the tractability index; 2.2.3.1 Matrix chain 2.2.3.2 The tractability index of regular linear DAEs 2.2.4 The Π-framework; 2.2.4.1 Alternative chain construction; 2.2.4.2 Equivalence of the P- and Π-chains; 2.2.4.3 Some properties of the projectors Πi and Mi; 2.2.5 Decoupling; 2.2.6 A tutorial example; 2.2.6.1 Index one; 2.2.6.2 Index two; 2.2.6.3 Index three; 2.2.7 Regular points; 2.3 Standard formlinear DAEs; 2.3.1 The tractability index of standard form DAEs; 2.3.2 Decoupling; 2.3.3 Time-invariant problems revisited; 2.4 Other approaches for linear DAEs: Reduction techniques; 3. Nonlinear DAEs and reduction methods 3.1 Semiexplicit index one DAEs 3.2 Hessenberg systems; 3.3 Some notions from differential geometry; 3.4 Quasilinear DAEs: The geometric index; 3.4.1 The framework of Rabier and Rheinboldt; 3.4.2 Index zero and index one points; 3.4.2.1 Index zero points; 3.4.2.2 Index one points; 3.4.3 Higher index points; 3.4.3.1 Index two points; 3.4.3.2 Index ν points; 3.4.4 Manifold sequences and locally regular DAEs; 3.4.4.1 Regular manifold, solution manifold, and locally regular DAEs; 3.4.4.2 Manifold sequences within different reduction approaches; 3.4.5 Local equivalence 3.4.5.1 The index: Independence of reduction pairs and invariance 3.4.5.2 C-conjugacy of state space descriptions; 3.4.5.3 On the link between local equivalence and reduction operators; 3.4.6 Examples; 3.4.6.1 Semiexplicit index one DAEs; 3.4.6.2 Hessenberg DAEs; 3.4.6.3 A locally regular DAE with di.erent indices; 3.4.7 Nonautonomous problems; 3.4.7.1 Geometric index and reduction in the nonautonomous context; 3.4.7.2 Semiexplicit index one DAEs; 3.4.7.3 Nonautonomous Hessenberg DAEs; 3.4.7.4 Schur reduction and semiexplicit DAEs; 3.5 Dynamical aspects 3.6 Reduction methods for fully nonlinear DAEs |
Record Nr. | UNINA-9910828870603321 |
Riaza Ricardo | ||
Singapore ; ; Hackensack, NJ, : World Scientific, 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|