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Acta numerica Volume 1 1992

Contributor(s): Iserles, A [Editor].
Material type: materialTypeLabelBookPublisher: New York Cambridge University Press 1992Description: 407 p.ISBN: 9780521422918.Subject(s): Numerical analysis | Theory of algorithms | Wavelet | Hamiltonian | Symplectic integratorDDC classification: 515 Summary: The rapid development of numerical analysis as a subject in its own right, as well as its increasing applicability to mathematical modeling in sciences and engineering, have led to a plethora of journals in its various subdisciplines, ranging from Computational Fluid Dynamics to Linear Algebra. These journals obviously represent the frontiers of research in their area. However, each specialization of numerical analysis is intricately linked and a broad knowledge of the subject is necessary for the solution of any "real" problem. Such an overview cannot be successfully achieved through either a single volume or a journal since the subject is constantly evolving and researchers need to be kept continuously informed of recent developments in a wide range of topics. Acta Numerica is an annual publication containing invited survey papers by leading researchers in a number of areas of applied mathematics. The papers included present overviews of recent developments in their area and provide "state of the art" techniques and analysis. Volume 1 aptly represents the flavor of the series and includes papers on such diverse topics as wavelets, optimization, and dynamical systems https://www.cambridge.org/us/academic/subjects/mathematics/numerical-analysis/acta-numerica-1992-volume-1?format=PB&isbn=9780521422918
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Table of Contents
1. Wavelets R. A. DeVore and Bradley J. Lucier
2. Iterative solution of linear systems R. W. Freund, G. H. Golub and N. M. Nachtigal
3. Problems with multiple time scales Heinz-Otto Kreiss
4. Numerical methods for differential-algebraic equations R. März
5. Theory of algorithms for unconstrained optimization J. Nocedal
6. Symplectic integrators for Hamiltonian problems: an overview J. M. Sanz-Serna
7. Error analysis of boundary integral methods Ian H. Sloan
8. Interior methods for constrained optimization Margaret H. Wright.

The rapid development of numerical analysis as a subject in its own right, as well as its increasing applicability to mathematical modeling in sciences and engineering, have led to a plethora of journals in its various subdisciplines, ranging from Computational Fluid Dynamics to Linear Algebra. These journals obviously represent the frontiers of research in their area. However, each specialization of numerical analysis is intricately linked and a broad knowledge of the subject is necessary for the solution of any "real" problem. Such an overview cannot be successfully achieved through either a single volume or a journal since the subject is constantly evolving and researchers need to be kept continuously informed of recent developments in a wide range of topics. Acta Numerica is an annual publication containing invited survey papers by leading researchers in a number of areas of applied mathematics. The papers included present overviews of recent developments in their area and provide "state of the art" techniques and analysis. Volume 1 aptly represents the flavor of the series and includes papers on such diverse topics as wavelets, optimization, and dynamical systems

https://www.cambridge.org/us/academic/subjects/mathematics/numerical-analysis/acta-numerica-1992-volume-1?format=PB&isbn=9780521422918

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