Nicolaides, Roy A.
Overview
Works:  44 works in 109 publications in 1 language and 1,406 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA76.95, 510.28553 
Publication Timeline
.
Most widely held works by
Roy A Nicolaides
Maple : a comprehensive introduction by
Roy A Nicolaides(
Book
)
11 editions published in 1996 in English and held by 311 WorldCat member libraries worldwide
Knowledge of one or more high level symbolic mathematics programs is rapidly becoming a necessity for mathematics users from all fields of science. The aim of this book is to provide a solid grounding in Maple, one of the best known of these programs. The authors have sought to combine efficiency and economy of exposition with a full coverage of Maple. The book has twelve chapters, of which eight are completely accessible to anyone who has completed the usual calculus and linear sequences as taught in American universities. There are three chapters on Maple programming. These can be read without prior programming experience, but a knowledge of a highlevel programming language (Basic, Fortran, C, etc.) will be helpful. There is also a chapter on some relevant aspects of abstract algebra. Although complete in its coverage of Maple, there is no "fat" in the book. Above all, the book is designed to enable the reader to extract value from Maple without wasting time and effort in the learning process. It provides a fast track to Maple expertise
11 editions published in 1996 in English and held by 311 WorldCat member libraries worldwide
Knowledge of one or more high level symbolic mathematics programs is rapidly becoming a necessity for mathematics users from all fields of science. The aim of this book is to provide a solid grounding in Maple, one of the best known of these programs. The authors have sought to combine efficiency and economy of exposition with a full coverage of Maple. The book has twelve chapters, of which eight are completely accessible to anyone who has completed the usual calculus and linear sequences as taught in American universities. There are three chapters on Maple programming. These can be read without prior programming experience, but a knowledge of a highlevel programming language (Basic, Fortran, C, etc.) will be helpful. There is also a chapter on some relevant aspects of abstract algebra. Although complete in its coverage of Maple, there is no "fat" in the book. Above all, the book is designed to enable the reader to extract value from Maple without wasting time and effort in the learning process. It provides a fast track to Maple expertise
Incompressible computational fluid dynamics : trends and advances(
Book
)
16 editions published between 1992 and 2009 in English and held by 300 WorldCat member libraries worldwide
16 editions published between 1992 and 2009 in English and held by 300 WorldCat member libraries worldwide
Divergence boundary conditions for vector helmholtz equations with divergence constraints by Urve Kangro(
Book
)
5 editions published in 1997 in English and held by 88 WorldCat member libraries worldwide
The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given
5 editions published in 1997 in English and held by 88 WorldCat member libraries worldwide
The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given
Spurious fields in time domain computations of scattering problems by Urve Kangro(
Book
)
4 editions published in 1995 in English and held by 81 WorldCat member libraries worldwide
In this paper two dimensional electromagnetic scattering problems with a time periodic incident field are considered. The scatterer is a perfect conductor, and an artificial boundary condition is used. The large time behavior of solutions, depending on (divergence free) initial conditions, is characterized. It turns out that in addition to the expected timeperiodic solution the limiting solution may also contain a spurious stationary field. The source of the stationary field is explained and equations describing it are obtained. Several avoidance strategies are discussed, and numerical comparisons of these techiques are given
4 editions published in 1995 in English and held by 81 WorldCat member libraries worldwide
In this paper two dimensional electromagnetic scattering problems with a time periodic incident field are considered. The scatterer is a perfect conductor, and an artificial boundary condition is used. The large time behavior of solutions, depending on (divergence free) initial conditions, is characterized. It turns out that in addition to the expected timeperiodic solution the limiting solution may also contain a spurious stationary field. The source of the stationary field is explained and equations describing it are obtained. Several avoidance strategies are discussed, and numerical comparisons of these techiques are given
Covolume solutions of three dimensional divcurl equations contract NAS119480 by
Roy A Nicolaides(
Book
)
6 editions published in 1995 in English and held by 79 WorldCat member libraries worldwide
DelaunayVoronoi mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work it is shown how such covolume discretizations may be applied to divcurl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration. (AN)
6 editions published in 1995 in English and held by 79 WorldCat member libraries worldwide
DelaunayVoronoi mesh systems provide a generalization of the classical rectangular staggered meshes to unstructured meshes. In this work it is shown how such covolume discretizations may be applied to divcurl systems in three dimensions. Error estimates are proved and confirmed by a numerical illustration. (AN)
Analysis and convergence of the MAC scheme by
Roy A Nicolaides(
Book
)
2 editions published in 1991 in English and held by 78 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 78 WorldCat member libraries worldwide
Computational electromagnetics and its applications by
Thomas G Campbell(
Book
)
10 editions published in 1997 in English and held by 77 WorldCat member libraries worldwide
This publication documents the proceedings of the first Workshop on Computational Electromagnetics (CEM) and Applications, hosted by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center, Hampton, Virginia, 2931 May, 1996, and attended by approximately 70 people from academia, government laboratories, and industry. ICASE's charter mission in 1972 remains today  to explore novel computer environments (vector in the 1970s; parallel in the 1990s) for scientific computing. These proceedings provide a necessary foundation for symposia in computational electromagnetics for future aerospace applications. The objectives of this CEM Workshop were to provide a forum for many of the leaders of the community to assess the state of CEM technology and to discuss areas of research for future programmatic planning activities. Workshop sessions included topics on optimization, industrial applications, algorithms, and a special panel session was provided during which issues were discussed and future research areas were identified. Hopefully, this publication will stimulate and improve communication among multidisciplinary researchers as well as highlighting several CEM areas that need improvement  especially for highly challenging problems. The two most important criteria in the selection of speakers for the workshop were their substantial contribution to largescale CEM problems and their ability to articulate the issues confronting the CEM research community. Based on the results obtained, it is anticipated that this publication will be useful to government, industry, and university researchers to plan future research tasks in CEM analytical methods and applications
10 editions published in 1997 in English and held by 77 WorldCat member libraries worldwide
This publication documents the proceedings of the first Workshop on Computational Electromagnetics (CEM) and Applications, hosted by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center, Hampton, Virginia, 2931 May, 1996, and attended by approximately 70 people from academia, government laboratories, and industry. ICASE's charter mission in 1972 remains today  to explore novel computer environments (vector in the 1970s; parallel in the 1990s) for scientific computing. These proceedings provide a necessary foundation for symposia in computational electromagnetics for future aerospace applications. The objectives of this CEM Workshop were to provide a forum for many of the leaders of the community to assess the state of CEM technology and to discuss areas of research for future programmatic planning activities. Workshop sessions included topics on optimization, industrial applications, algorithms, and a special panel session was provided during which issues were discussed and future research areas were identified. Hopefully, this publication will stimulate and improve communication among multidisciplinary researchers as well as highlighting several CEM areas that need improvement  especially for highly challenging problems. The two most important criteria in the selection of speakers for the workshop were their substantial contribution to largescale CEM problems and their ability to articulate the issues confronting the CEM research community. Based on the results obtained, it is anticipated that this publication will be useful to government, industry, and university researchers to plan future research tasks in CEM analytical methods and applications
Direct discretization of planar divcurl problems by
Roy A Nicolaides(
Book
)
5 editions published in 1989 in English and held by 76 WorldCat member libraries worldwide
A control volume method is proposed for planar divcurl systems. The method is independent of potential and least squares formulations, and works directly with the divcurl system. The novelty of the technique lies in its use of a single local vector field component and two control volumes rather than the other way round. A discrete vector field theory comes quite naturally from this idea and is developed in the paper. Error estimates are proved for the method, and other ramifications investigated. (JHD)
5 editions published in 1989 in English and held by 76 WorldCat member libraries worldwide
A control volume method is proposed for planar divcurl systems. The method is independent of potential and least squares formulations, and works directly with the divcurl system. The novelty of the technique lies in its use of a single local vector field component and two control volumes rather than the other way round. A discrete vector field theory comes quite naturally from this idea and is developed in the paper. Error estimates are proved for the method, and other ramifications investigated. (JHD)
On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations by
Max D Gunzburger(
Book
)
3 editions published in 1986 in English and held by 74 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 74 WorldCat member libraries worldwide
Iterative methods for elliptic finite element equations on general meshes by
Roy A Nicolaides(
Book
)
3 editions published in 1986 in English and held by 74 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 74 WorldCat member libraries worldwide
Construction of higher order accurate vortex and particle methods by
Roy A Nicolaides(
Book
)
2 editions published in 1986 in English and held by 73 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 73 WorldCat member libraries worldwide
Analysis and convergence of the MAC scheme. 1. The linear problem by
Institute for Computer Applications in Science and Engineering(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
The MAC (Market and Cell) discretization of fluid flow is analyzed for the stationary Stokes equations. It is proved that the discrete approximations do in fact converge to the exact solutions of the flow equations. Estimates using mesh dependent norms analogous to the standard H sub 1 and L sub 2 norms are given for the velocity and pressure respectively
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
The MAC (Market and Cell) discretization of fluid flow is analyzed for the stationary Stokes equations. It is proved that the discrete approximations do in fact converge to the exact solutions of the flow equations. Estimates using mesh dependent norms analogous to the standard H sub 1 and L sub 2 norms are given for the velocity and pressure respectively
On mixed finite element methods for first order elliptic systems by
George J Fix(
Book
)
3 editions published between 1981 and 1982 in English and held by 1 WorldCat member library worldwide
3 editions published between 1981 and 1982 in English and held by 1 WorldCat member library worldwide
New discretization and solution techniques for incompressible viscous flow problems by
Institute for Computer Applications in Science and Engineering(
Book
)
2 editions published in 1983 in English and held by 1 WorldCat member library worldwide
2 editions published in 1983 in English and held by 1 WorldCat member library worldwide
Compatible spatial discretizations by
Douglas N Arnold(
Book
)
4 editions published in 2006 in English and held by 1 WorldCat member library worldwide
The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 1115, 2004 at the University of Minnesota. This volume contains contributions based on the material presented at the workshop. It includes a work that is representative of the developments in compatible discretizations across the disciplines in computational science
4 editions published in 2006 in English and held by 1 WorldCat member library worldwide
The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 1115, 2004 at the University of Minnesota. This volume contains contributions based on the material presented at the workshop. It includes a work that is representative of the developments in compatible discretizations across the disciplines in computational science
On mixed finite element methods by
George J Fix(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
New Techniques and Applications for Computational Electromagnetics(
Book
)
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
Several different aspects of numerical methods for electromagnetic scattering are considered. The interior source method is one major focus of the research. It is shown how the scattered field can be extended to the interior of a scatterer with a view to determining the locations of singular points of the extended field. These results are of immediate use to synthesize the scattered field. The interior source method has been applied to solving a number of scattering problems, mostly but not exclusively from smooth bodies. Spectral convergence of the approximations has been demonstrated and this permits far fewer unknowns to be used in the computation than would be the case with methods in which the sources are distributed on the boundary of the scattering body. A second topic of research concerns the finite difference time domain technique (FDTD). For this method a new approach to handling complex geometrical situations has been developed. This approach uses at least squares technique in conjunction with a novel but simple form of description of the boundary of the body. It converges at or close to a rate of second order in the spatial variables in contrast to a number of other algorithms designed to solve the same problem
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
Several different aspects of numerical methods for electromagnetic scattering are considered. The interior source method is one major focus of the research. It is shown how the scattered field can be extended to the interior of a scatterer with a view to determining the locations of singular points of the extended field. These results are of immediate use to synthesize the scattered field. The interior source method has been applied to solving a number of scattering problems, mostly but not exclusively from smooth bodies. Spectral convergence of the approximations has been demonstrated and this permits far fewer unknowns to be used in the computation than would be the case with methods in which the sources are distributed on the boundary of the scattering body. A second topic of research concerns the finite difference time domain technique (FDTD). For this method a new approach to handling complex geometrical situations has been developed. This approach uses at least squares technique in conjunction with a novel but simple form of description of the boundary of the body. It converges at or close to a rate of second order in the spatial variables in contrast to a number of other algorithms designed to solve the same problem
On finite element multigrid algorithms and their use by
Roy A Nicolaides(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Interim Technical Report, 1 June 198231 May 1983, Grant AFOSR820213(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
During this period, research continued in the area of numerical solution of the incompressible NavierStokes equations. In particular, the following topics have been addressed: (1) The question of achieving stable discretizations of the imcompressibility constraint; (2) The problem of obtaining accurate solutions in the limit of large Reynolds numbers; and (3) Devising efficient numerical solution algorithms for solving the nonlinear algebraic systems of equations arisings from the discretization step. A necessary condition for convergence of the discrete approximation was obtained. A major result achieved has been to show that many often used low order element pairs are, in fact, unstable in the sense of this criterion. In addition, new simple low order element pairs were introduced and proved to be stable. Concerning the second topic noted above, the investigator has taken an approach based on the idea that h (the discretization parameter) needs to be small only in certain locations, namely in boundary layers. Finally, solving the algebraic systems which arise from the discretization remains a major difficulty. Two new approaches have been developed, one dependent on time marching to the steady state limit, and the other based on an adaptation of a method used in structural mechanics to the fluids case. Four new scientific papers have been generated in the report period, to be published in the referred literature. (Author)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
During this period, research continued in the area of numerical solution of the incompressible NavierStokes equations. In particular, the following topics have been addressed: (1) The question of achieving stable discretizations of the imcompressibility constraint; (2) The problem of obtaining accurate solutions in the limit of large Reynolds numbers; and (3) Devising efficient numerical solution algorithms for solving the nonlinear algebraic systems of equations arisings from the discretization step. A necessary condition for convergence of the discrete approximation was obtained. A major result achieved has been to show that many often used low order element pairs are, in fact, unstable in the sense of this criterion. In addition, new simple low order element pairs were introduced and proved to be stable. Concerning the second topic noted above, the investigator has taken an approach based on the idea that h (the discretization parameter) needs to be small only in certain locations, namely in boundary layers. Finally, solving the algebraic systems which arise from the discretization remains a major difficulty. Two new approaches have been developed, one dependent on time marching to the steady state limit, and the other based on an adaptation of a method used in structural mechanics to the fluids case. Four new scientific papers have been generated in the report period, to be published in the referred literature. (Author)
New Techniques in Computational Fluid Dynamics: Algorithms, Analysis, Applications(
)
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The overall goal of this research was the development and application of covolume methodology in CFD and related areas. The main framework of the covolume approach is now in place and its major characteristics are reasonably well understood. The research shows the algorithm to be a stable and accurate approach to computing viscous fluids on unstructured meshes. The covolume approach has several unique features, including an associated discrete vector field theory, which in turn permits covolume discretizations to exhibit important physical characteristics, for example being free of artificial vorticity creation. There is still need for work in compressible and three dimensional flows
1 edition published in 1991 in English and held by 0 WorldCat member libraries worldwide
The overall goal of this research was the development and application of covolume methodology in CFD and related areas. The main framework of the covolume approach is now in place and its major characteristics are reasonably well understood. The research shows the algorithm to be a stable and accurate approach to computing viscous fluids on unstructured meshes. The covolume approach has several unique features, including an associated discrete vector field theory, which in turn permits covolume discretizations to exhibit important physical characteristics, for example being free of artificial vorticity creation. There is still need for work in compressible and three dimensional flows
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Institute for Computer Applications in Science and Engineering
 Gunzburger, Max D. Other Author Editor
 Walkington, Noel
 Kangro, Urve Author
 United States National Aeronautics and Space Administration
 Campbell, Thomas G. Author Editor
 Salas, Manuel D. Editor
 Wu, X.
 Choudhury, Shenaz
 Arnold, Douglas N. Author Editor
Associated Subjects
Algebra Boundary layer Boundary value problems Computational complexity Computer engineering Computer graphics Differential equations, Partial Differential equations, PartialNumerical solutions ElectromagnetismData processing Engineering Finite differences Finite element method Finite element methodMathematics Fluid dynamicsTechnique Fluid mechanics Helmholtz equation Linear systems Maple (Computer file) Mathematics MathematicsData processing Matrices Microwaves Multigrid methods (Numerical analysis) Numerical analysis Numerical calculations Numerical grid generation (Numerical analysis)
Alternative Names
Nicolaides, R. A.
Nicolaides, R. A. (Roy A.)
Nicolaides, Roy.
Languages
Covers