Autore	Hackbusch Wolfgang
Edizione	[1st ed. 2014.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
Descrizione fisica	1 online resource (202 pages) : illustrations
Disciplina	518
Collana	Springer Series in Computational Mathematics
Soggetto topico	Numerical analysis Differential equations, Partial Integral equations Numerical Analysis Partial Differential Equations Integral Equations
ISBN	3-642-39386-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Preface -- Introduction -- Stability of Finite Algorithms -- Quadrature -- Interpolation -- Ordinary Differential Equations -- Instationary Partial Difference Equations -- Stability for Discretisations of Elliptic Problems -- Stability for Discretisations of Integral Equations -- Index.
Record Nr.	UNINA-9910300144603321

Autore	Hackbusch Wolfgang
Edizione	[2nd ed. 2017.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2017
Descrizione fisica	1 online resource (XIV, 455 p. 55 illus., 15 illus. in color.)
Disciplina	515.353
Collana	Springer Series in Computational Mathematics
Soggetto topico	Mathematical analysis Analysis (Mathematics) Numerical analysis System theory Calculus of variations Mathematical physics Analysis Numerical Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics
ISBN	3-662-54961-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	1 Partial Differential Equations and Their Classification Into Types -- 2 The Potential Equation -- 3 The Poisson Equation -- 4 Difference Methods for the Poisson Equation -- 5 General Boundary Value Problems -- 6 Tools from Functional Analysis -- 7 Variational Formulation -- 8 The Method of Finite Elements -- 9 Regularity -- 10 Special Differential Equations -- 11 Eigenvalue Problems -- 12 Stokes Equations.
Record Nr.	UNINA-9910254284203321

Autore	Hackbusch Wolfgang
Edizione	[1st ed. 2015.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015
Descrizione fisica	1 online resource (532 p.)
Disciplina	512.9434
Collana	Springer Series in Computational Mathematics
Soggetto topico	Numerical analysis Algorithms Differential equations, Partial Integral equations Matrix theory Algebra Numerical Analysis Partial Differential Equations Integral Equations Linear and Multilinear Algebras, Matrix Theory
ISBN	3-662-47324-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Preface -- Part I: Introductory and Preparatory Topics -- 1. Introduction -- 2. Rank-r Matrices -- 3. Introductory Example -- 4. Separable Expansions and Low-Rank Matrices -- 5. Matrix Partition -- Part II: H-Matrices and Their Arithmetic -- 6. Definition and Properties of Hierarchical Matrices -- 7. Formatted Matrix Operations for Hierarchical Matrices -- 8. H2-Matrices -- 9. Miscellaneous Supplements -- Part III: Applications -- 10. Applications to Discretised Integral Operators -- 11. Applications to Finite Element Matrices -- 12. Inversion with Partial Evaluation -- 13. Eigenvalue Problems -- 14. Matrix Functions -- 15. Matrix Equations -- 16. Tensor Spaces -- Part IV: Appendices -- A. Graphs and Trees -- B. Polynomials -- C. Linear Algebra and Functional Analysis -- D. Sinc Functions and Exponential Sums -- E. Asymptotically Smooth Functions -- References -- Index.
Record Nr.	UNINA-9910300248003321

Autore	Hackbusch Wolfgang
Edizione	[2nd ed. 2016.]
Pubbl/distr/stampa	Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica	1 online resource (XXIII, 509 p. 26 illus., 11 illus. in color.)
Disciplina	518.26
Collana	Applied Mathematical Sciences
Soggetto topico	Numerical analysis Matrix theory Algebra Differential equations, Partial Numerical Analysis Linear and Multilinear Algebras, Matrix Theory Partial Differential Equations
ISBN	3-319-28483-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Positive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Domain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices.
Record Nr.	UNINA-9910254096203321

Autore	Hackbusch Wolfgang
Edizione	[2nd ed. 2019.]
Pubbl/distr/stampa	Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica	1 online resource (622 pages)
Disciplina	515.63
Collana	Springer Series in Computational Mathematics
Soggetto topico	Numerical analysis Chemistry, Physical and theoretical Mathematical physics Numerical Analysis Theoretical and Computational Chemistry Theoretical, Mathematical and Computational Physics
ISBN	3-030-35554-3
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Part I: Algebraic Tensors -- 1 Introduction -- 2 Matrix Tools -- 3 Algebraic Foundations of Tensor Spaces -- Part II: Functional Analysis of Tensor Spaces -- 4 Banach Tensor Spaces -- 5 General Techniques -- 6 Minimal Subspaces -- Part III: Numerical Treatment -- 7 r-Term Representation -- 8 Tensor Subspace Represenation -- 9 r-Term Approximation -- 10 Tensor Subspace Approximation -- 11 Hierarchical Tensor Representation -- 12 Matrix Product Systems -- 13 Tensor Operations -- 14 Tensorisation -- 15 Multivariate Cross Approximation -- 16 Applications to Elliptic Partial Differential Equations -- 17 Miscellaneous Topics.
Record Nr.	UNINA-9910364956703321