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Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel
| Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel |
| Autore | Pabel Roland |
| Pubbl/distr/stampa | Köln : , : Logos Verlag Berlin, , [2015] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 515.353 |
| Soggetto topico |
Tensor products
Evolution equations, Nonlinear |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-8325-9159-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910468002903321 |
Pabel Roland
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| Köln : , : Logos Verlag Berlin, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel
| Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel |
| Autore | Pabel Roland |
| Pubbl/distr/stampa | Köln : , : Logos Verlag Berlin, , [2015] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 515.353 |
| Soggetto topico |
Tensor products
Evolution equations, Nonlinear |
| ISBN | 3-8325-9159-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795157903321 |
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Pabel Roland
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| Köln : , : Logos Verlag Berlin, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel
| Adaptive wavelet methods for variational formulations of nonlinear elliptic PDEs on Tensor-Product domains / / Roland Pabel |
| Autore | Pabel Roland |
| Pubbl/distr/stampa | Köln : , : Logos Verlag Berlin, , [2015] |
| Descrizione fisica | 1 online resource (332 pages) |
| Disciplina | 515.353 |
| Soggetto topico |
Tensor products
Evolution equations, Nonlinear |
| ISBN | 3-8325-9159-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817388003321 |
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Pabel Roland
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| Köln : , : Logos Verlag Berlin, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous analogues of Fock space / / William Arveson
| Continuous analogues of Fock space / / William Arveson |
| Autore | Arveson William |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semigroups of endomorphisms
Tensor products |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0832-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Product systems""; ""2. Semigroups of endomorphisms""; ""3. Index and outer conjugacy""; ""4. The covariance function""; ""5. The dimension of a product system""; ""6. Divisible product systems""; ""7. Applications""; ""8. Automorphisms""; ""Appendix""; ""References"" |
| Record Nr. | UNINA-9910480561903321 |
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Arveson William
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| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous analogues of Fock space / / William Arveson
| Continuous analogues of Fock space / / William Arveson |
| Autore | Arveson William |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semigroups of endomorphisms
Tensor products |
| ISBN | 1-4704-0832-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Product systems""; ""2. Semigroups of endomorphisms""; ""3. Index and outer conjugacy""; ""4. The covariance function""; ""5. The dimension of a product system""; ""6. Divisible product systems""; ""7. Applications""; ""8. Automorphisms""; ""Appendix""; ""References"" |
| Record Nr. | UNINA-9910788872103321 |
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Arveson William
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| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous analogues of Fock space / / William Arveson
| Continuous analogues of Fock space / / William Arveson |
| Autore | Arveson William |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
| Descrizione fisica | 1 online resource (72 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semigroups of endomorphisms
Tensor products |
| ISBN | 1-4704-0832-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""1. Product systems""; ""2. Semigroups of endomorphisms""; ""3. Index and outer conjugacy""; ""4. The covariance function""; ""5. The dimension of a product system""; ""6. Divisible product systems""; ""7. Applications""; ""8. Automorphisms""; ""Appendix""; ""References"" |
| Record Nr. | UNINA-9910811639903321 |
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Arveson William
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| Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910480991403321 |
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Zacharias Joachim <1966->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910788739703321 |
|
Zacharias Joachim <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias
| Continuous tensor products and Arveson's spectral C-algebras / / Joachim Zacharias |
| Autore | Zacharias Joachim <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| Descrizione fisica | 1 online resource (118 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Tensor products |
| ISBN | 1-4704-0271-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""1 Introduction""; ""2 Continuous Tensor Products""; ""2.1 Tensor Decompositions over Boolean Algebras""; ""2.1.1 Definition""; ""2.1.2 Continuous Tensor Decompositions""; ""2.1.3 Discrete Examples""; ""2.1.4 Continuous Examples""; ""2.2 The Generalized Araki-Woods Theorem""; ""2.2.1 An Araki-Woods Theorem for B[sub(0)](I)""; ""3 Algebras Associated to Continuous Tensor Products""; ""3.1 Definition of L[sup(1)](T) and A(T)""; ""3.1.1 L[sup(1)]-Sections as Involutive Banach Algebras""; ""3.2 The C*-Algebra A{T) for T of Type I""; ""3.2.1 Representations of A(T)""
""3.2.2 States""""3.2.3 Ideals and Exact Sequences""; ""3.3 Automorphisms and Endomorphisms""; ""3.3.1 Ideal Preserving Automorphisms""; ""3.3.2 General Diagonal Morphisms""; ""3.3.3 Generation by Cones""; ""3.3.4 Pedersen Ideal and Infiniteness""; ""3.3.5 The Canonical Automorphic and Endomorphic Actions on A[sub(n)]""; ""3.4 Homotopy Invariants""; ""3.4.1 K-Theory""; ""3.4.2 The Homotopy Type of the Automorphism Group""; ""4 Arveson's Spectral C*-Algebras""; ""4.1 Product Systems""; ""4.1.1 E[sub(0)]-Semigroups and Product Systems"" ""4.2 The Spectral C*�Algebra C*(E) of a Product System""""4.2.1 The Wiener Hopf C*-Algebra""; ""4.2.2 The Involutive Banach Algebra L[sup(1)] (K[sub(E)])""; ""4.2.3 C*(E) and its Universal Property""; ""4.2.4 The C*-Algebras W[sub(n)]""; ""4.3 C*(E[sub(n)]) as a Crossed Product""; ""4.3.1 The Banach Algebra Crossed Product L[sup(1)] (R, L[sup(1)](T[sub(n)]))""; ""4.3.2 Morita Equivalence between R [omitted] A[sub(n)] and C*(E[sub(n)])""; ""4.3.3 Simplicity""; ""4.3.4 Infiniteness""; ""Appendix""; ""A. Bochner Integrals""; ""B. Direct Integrals"" ""C. Conditionally Positive Definite Functions""""References"" |
| Record Nr. | UNINA-9910818129903321 |
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Zacharias Joachim <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dual-Control-Design : TP and TS Fuzzy Model Transformation Based Control Optimisation and Design / / Péter Baranyi
| Dual-Control-Design : TP and TS Fuzzy Model Transformation Based Control Optimisation and Design / / Péter Baranyi |
| Autore | Baranyi Péter |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (255 pages) |
| Disciplina | 629.8312 |
| Collana | Topics in Intelligent Engineering and Informatics Series |
| Soggetto topico |
Control theory
Fuzzy mathematics Tensor products |
| ISBN | 3-031-44575-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgements -- Contents -- Acronyms -- Part I Introduction -- 1 Key Messages of the Book -- 1.1 Mathematical Perspective -- 1.2 TS Fuzzy Modelling Perspective -- 1.3 System Design Perspective -- References -- 2 Outline of the Book -- 2.1 Chapters of the Book -- References -- Part II Basic Concepts -- 3 Notations and Basic Concepts -- 3.1 Notations -- 3.2 Concepts -- 3.3 Tensor Product (TP) Operations -- 3.3.1 Matrix-Tensor Product -- 3.3.2 Multiple Matrix-Tensor Product -- 3.4 Tensor Product Functions -- 3.4.1 Tensor Product Functions in the Form of Vector-Tensor Products -- 3.4.2 TP Functions with Linear Indexing -- 3.5 TS Fuzzy Models Given by TP Operations -- References -- 4 Discretization Via Random and Rectangular Grids Leading to Bi-Linear Approximations -- 4.1 Notations and Basic Concepts -- 4.2 Bi-Linear Approximations Via Discretization on a Rectangular Grid -- 4.3 Bi-Linear Approximations Based on Training via Random Grid -- 4.4 From Random Grids to Rectangular Grid Based Discretizations -- 4.5 Example: Random Versus Rectangular Grid Based Discretizations -- References -- Part III TS Fuzzy Model Transformation -- 5 TP Grid Structure of Functions -- 5.1 Structure of This Chapter -- 5.2 Singular Value Decomposition of Matrices -- 5.2.1 Example: Applying CSVD to Neural Networks -- 5.3 Higher-Order Singular Value Decomposition of Tensors -- 5.4 TP Grid Structure of Functions -- 5.5 HOSVD Based TP Grid Structure of Functions -- 5.6 Example: Eliminating the Difference Between the Random and the Rectangular Grid Based Discretization -- 5.7 Refining the TP Grid Structure -- 5.8 Example: Refining the TP Grid Structure -- References -- 6 TP Model Transformation -- 6.1 Structure of This Chapter -- 6.2 Key Idea in This Chapter -- 6.3 TP Model Transformation -- 6.3.1 Example 1: Parameter Varying Neural Network.
6.3.2 Example 2: TP Model Transformation -- 6.3.3 Example 3: Refining the TP Function -- 6.3.4 Example 4: Refinement in General -- 6.3.5 Example 5: Refinement Versus Use of a High Density Discretization Grid -- 6.3.6 Example 6: Refinement Does Not Expand to Further Ranks -- 6.4 Reinforcing the Constraints on the Weighting Functions -- 6.4.1 Example 7: Reinforcing the Bounding of the Refined Weighting Functions -- 6.5 PARAFAC Based TP Model Transformation -- 6.5.1 Example: PARAFAC Based TP Model Transformation -- 6.6 Normalised PARAFAC Based TP Model Transformation -- 6.7 Refined PARAFAC Based TP Model Transformation -- 6.7.1 Example: Refined PARAFAC Based TP Model Transformation -- References -- 7 TS Fuzzy Model Transformation -- 7.1 Structure of This Chapter -- 7.2 Transforming the Weighting Functions to Antecedent Membership Functions -- 7.3 TS Fuzzy Model Transformation -- 7.3.1 Example: TS Fuzzy Model Transformation -- 7.3.2 Example: Calculating the Membership Functions During Rank Reduction -- 7.4 Nullpoint Separation -- 7.5 Separating the Constant Elements -- 7.5.1 Example: Separating the Constant Elements Leads to a Different Solution -- 7.5.2 Example: Separating the Constant Elements May Decrease the Rank -- 7.5.3 Example: Separating the Constant Elements May Decrease the Number of Rules -- 7.6 Interpretability Versus Approximation Accuracy -- 7.6.1 Example: Interpretability of the TS Fuzzy Models -- References -- 8 Pseudo TP/TS Fuzzy Model Transformation -- 8.1 Pseudo TP/TS Fuzzy Model Transformation -- 8.1.1 Example: Pseudo TP/TS Model Transformation -- 8.2 Combination of the TP/TS and the Pseudo TP/TS Fuzzy Model Transformations -- 8.2.1 Example: Combining the TS and the Pseudo TS Fuzzy Model Transformations -- References -- 9 Generalized TS Fuzzy Model Transformation -- 9.1 Restructuring the Elements in a Given Function. 9.2 Generalized TS Fuzzy Model Transformation -- 9.2.1 Example: The Generalised TS Fuzzy Model Transformation -- References -- 10 How to Manipulate the Input Space -- 10.1 Structure of This Chapter -- 10.2 Input Space Transformation in General -- 10.3 Extracting Non-linearities -- 10.4 Introducing Fictive Parameters -- 10.5 Example: Functions with Circular Shape -- 10.6 Example: Transforming Infinite Element TS Fuzzy Models to Finite Element Models -- References -- Part IV Dual-Control Design -- 11 Preparation of TS Fuzzy Models for Further Design -- 11.1 Structure of the Chapter -- 11.2 Basic Concepts -- 11.2.1 State-Space Systems -- 11.3 Convex Hulls Defined by the TS Fuzzy Model -- 11.4 Control Design Schema -- 11.4.1 State/Output Feedback Based Controller Design -- 11.5 Role of the TS Fuzzy Model Transformation in Control Design -- 11.6 Preparing the TS Fuzzy Model of Dynamic Systems -- References -- 12 Example I: TS Fuzzy Model Variants of the TORA System -- 12.1 Structure of the Chapter -- 12.2 Dynamic Model of the TORA -- 12.3 TS Fuzzy Models of the TORA -- 12.4 Input Space Manipulations of the TORA Model -- 12.4.1 Introducing a Fictive Parameter in the TORA Model -- 12.4.2 Extracting Non-linearity and Introduction of a Fictive Parameter in the TORA Model -- 12.4.3 Further TS Fuzzy Model Variants of the TORA -- References -- 13 Example II: TS Fuzzy Model Variants of the Aeroelastic Wing Section -- 13.1 Structure of This Example -- 13.2 Model of the Aeroelastic Wing Section -- 13.3 TS Fuzzy Models of the Aeroelastic Wing Section -- 13.4 Input Space Manipulations to the Aeroelastic Wing Section -- 13.4.1 Extracting Non-linear Components of the Aeroelastic Wing Section -- 13.4.2 Introducing a Fictive Parameter to the Model of the Aeroelastic Wing Section -- 13.4.3 Further TS Fuzzy Model Variants -- References. 14 Revealing the qLPV Structure Using the TS Fuzzy Model Transformation -- 14.1 Structuring the System Matrix in qLPV Representations -- 14.2 Extracting LPV or qLPV Structures Using the TS Fuzzy Model Transformation -- 14.2.1 Example: Extracting the qLPV Model of the Aeroelastic Wing Section -- 14.3 Refinement in the Case of Linearization Based TS Fuzzy Model Transformation -- 14.3.1 Example: Refining the Extracted qLPV TS Fuzzy Model of the Aeroelastic Wing Section -- References -- 15 Dual-Control Design -- 15.1 TS Fuzzy Model Transformation in the Identification Phase -- 15.2 TS Fuzzy Model Transformation in the Design Phase -- References. |
| Record Nr. | UNINA-9910765485403321 |
|
Baranyi Péter
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| Cham, Switzerland : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
