| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910151929403321 |
|
|
Autore |
Novak Erich |
|
|
Titolo |
Tractability of Multivariate Problems [[electronic resource] ] : Volume II: Standard Information for Functionals / / Erich Novak, Henryk Woźniakowski |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2010 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (675 pages) |
|
|
|
|
|
|
Collana |
|
EMS Tracts in Mathematics (ETM) ; 12 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Soggetti |
|
Mathematical theory of computation |
Numerical analysis |
Computer science |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
This three-volume set is a comprehensive study of the tractability of multivariate problems. The present second volume deals with algorithms using standard information consisting of function values for the approximation of linear and selected nonlinear functionals. An important example is numerical multivariate integration. The proof techniques used in volumes I and II are quite different. It is especially hard to establish meaningful lower error bounds for the approximation of functionals by using finitely many function values. Here, the concept of decomposable reproducing kernels is helpful, allowing it to find matching lower and upper error bounds for some linear functionals. It is then possible to conclude tractability results from such error bounds. Tractability results even for linear functionals are very rich in variety. There are infinite-dimensional Hilbert spaces for which the approximation with an arbitrarily small error of all linear functionals requires only one function value. There are Hilbert spaces for which all nontrivial linear functionals suffer from the curse of dimensionality. This holds for unweighted spaces, where the role of all variables and groups of variables is the same. For |
|
|
|
|
|
|
|
|
|
|
|
|
|
weighted spaces one can monitor the role of all variables and groups of variables. Necessary and sufficient conditions on the decay of the weights are given to obtain various notions of tractability. The text contains extensive chapters on discrepancy and integration, decomposable kernels and lower bounds, the Smolyak/sparse grid algorithms, lattice rules and the CBC (component-by-component) algorithms. This is done in various settings. Path integration and quantum computation are also discussed. The book is of interest for researchers working in computational mathematics, especially in approximation of high-dimensional problems. It is also well suited for graduate courses and seminars. 61 open problems... |
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910782789403321 |
|
|
Autore |
Repin Sergey I |
|
|
Titolo |
A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin ; ; New York, : Walter de Gruyter, c2008 |
|
|
|
|
|
|
|
ISBN |
|
1-283-39678-5 |
9786613396785 |
3-11-020304-9 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (328 p.) |
|
|
|
|
|
|
Collana |
|
Radon series on computational and applied mathematics, , 1865-3707 ; ; 4 |
|
|
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential equations, Partial |
Error analysis (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. [291]-311) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Overview -- 3. Poisson's equation -- 4. Linear elliptic problems -- 5. Elasticity -- 6. Incompressible viscous fluids -- 7. Generalizations -- 8. Nonlinear problems -- 9. A posteriori estimates for other problems -- Backmatter |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern |
|
|
|
|
|
|
|
|
|
|
|
|
|
applied analysis.After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods. |
|
|
|
|
|
|
3. |
Record Nr. |
UNINA9910798548803321 |
|
|
Autore |
Kaiser Kai |
|
|
Titolo |
Sin tax reform in the Philippines : transforming public finance, health, and governance for more inclusive development / / Kai Kaiser |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Washington, D.C. : , : World Bank, , [2016] |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (pages cm) |
|
|
|
|
|
|
Collana |
|
Directions in development |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Economic development - Philippines |
Finance, Public - Philippines |
Taxation - Philippines |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references at the end of each chapters. |
|
|
|
|
|
|
Nota di contenuto |
|
Front Cover; Contents; Foreword; Preface; Acknowledgments; Abbreviations and Key Legislation and Regulations; Overview; The Sin Tax Law's Key Features; Reconciling Technical Analysis with Political Realities; Monitoring the Implementation of the Sin Tax Law; Overview of the Report; Chapter 1: Why and How Sin Tax Reform Happened; Chapter 2: Reconciling Technical Analysis with Political Realities; Chapter 3: Tracking Implementation: Setting the Baseline; Chapter 1 Why and How Sin Tax Reform Happened; Introduction; Growing Pressure for Sin Tax Reform, 2010-12 |
Sin Tax Reform Involved Difficult Policy ChoicesThe Final 2012 Sin Tax Law; Conclusion; Notes; References; Chapter 2 Reconciling Technical Analysis with Political Realities; Introduction; Political Economy, Legislative Process, Coalitions; Targets, Negotiables, and Nonnegotiables; Mind the Market Structure; Expenditure Earmarking for |
|
|
|
|
|
|
|
|
|
|
Health and Tobacco-Growing Regions; Conclusion; Notes; References; Chapter 3 Monitoring Implementation of the Sin Tax Law; Introduction; Sin Tax Monitoring Framework; Monitoring Excise Tax Implementation; Monitoring Expenditure Earmarking; Conclusions; Notes |
|
|
|
|
|
| |