高等学校計算数学学報 = Numerical mathematics

Cambridge University Press. Paperback. Book Condition: New. Paperback. 480 pages. Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This new edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback.

A First Course in the Numerical Analysis of Differential Equations: Stiff equations

The structural identification problem in dynamic systems is reviewed and new conditions for global identifiability of linear systems are obtained.

http://ieeexplore.ieee.org/iel5/4045799/4045800/04046015.pdf

Structural identifiability

The curse of outlier measurements in estimation problems is a well-known issue in a variety of fields. Therefore, outlier removal procedures, which enables the identification of spurious measurements within a set, have been developed for many different scenarios and applications. In this paper, we propose a statistically motivated outlier removal algorithm for time differences of arrival (TDOAs), or equivalently range differences (RD), acquired at sensor arrays. The method exploits the TDOA-space formalism and works by only knowing relative sensor positions. As the proposed method is completely independent from the application for which measurements are used, it can be reliably used to identify outliers within a set of TDOA/RD measurements in different fields (e.g., acoustic source localization, sensor synchronization, radar, remote sensing, etc.). The proposed outlier removal algorithm is validated by means of synthetic simulations and real experiments.

A Geometrical–Statistical Approach to Outlier Removal for TDOA Measurements

Generalised summation-by-parts operators and variable coefficients

On pseudo-spectral time discretizations in summation-by-parts form

On conservation and stability properties for summation-by-parts schemes

Diagonal norm finite difference based time integration methods in summation-by-parts form are investigated. The second, fourth, and sixth order accurate discretizations are proven to have eigenvalu...

/pdf/eigenvalue-analysis-for-summation-by-parts-finite-difference-1w9f3i9rbl.pdf

Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations

A new multigrid formulation for high order finite difference methods on summation-by-parts form

Localizing a radiant source is a problem of great interest to many scientific and technological research areas. Localization based on range measurements is at the core of technologies such as radar, sonar and wireless sensor networks. In this manuscript, we offer an in-depth study of the model for source localization based on range measurements obtained from the source signal, from the point of view of algebraic geometry. In the case of three receivers, we find unexpected connections between this problem and the geometry of Kummer’s and Cayley’s surfaces. Our work also gives new insights into the localization based on range differences.

Andrea Alessandro Ruggiu

Papers

On pseudo-spectral time discretizations in summation-by-parts form

On conservation and stability properties for summation-by-parts schemes

Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations

A new multigrid formulation for high order finite difference methods on summation-by-parts form

The Algebro-geometric Study of Range Maps