Eugene L. Wachspress - Author Profile

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Wachspress, Eugene L.

Author ID:	wachspress.eugene-l
Published as:	Wachspress, E. L.; Wachspress, Eugene L.; Wachspress, E.; Wachspress, Eugene more...less
External Links:	dblp

Documents Indexed:	53 Publications since 1960, including 4 Books
	2 Contributions as Editor
Co-Authors:	15 Co-Authors with 17 Joint Publications
	643 Co-Co-Authors

all top 5

Co-Authors

38	single-authored
3	Barry, J. M.
3	Noronha, W. P.
2	Baker, Allen J.
2	Dasgupta, Gautam
2	Habetler, George J.
2	McLeod, Robin J. Y.
2	Pollard, J. P.
1	Ellner, Nancy S.
1	Huang, Ting-Zhu
1	Leng, Jinsong
1	Lu, An
1	Mitchell, Andrew Ronald
1	Muro, P. F.
1	Phillips, George M.
1	Tang, Yuanyan

all top 5

Serials

17	Computers & Mathematics with Applications
3	Journal of the Institute of Mathematics and its Applications
3	Applied Mathematics Letters
3	Journal of the Society for Industrial & Applied Mathematics
2	International Journal for Numerical Methods in Engineering
1	Mathematics of Computation
1	Journal of Computational and Applied Mathematics
1	SIAM Journal on Numerical Analysis
1	Mathematical Modelling
1	Mathematics in Science and Engineering

all top 5

Fields

44	Numerical analysis (65-XX)
8	Partial differential equations (35-XX)
8	Approximations and expansions (41-XX)
7	Linear and multilinear algebra; matrix theory (15-XX)
5	Fluid mechanics (76-XX)
3	Mechanics of deformable solids (74-XX)
2	General and overarching topics; collections (00-XX)
1	Combinatorics (05-XX)
1	Algebraic geometry (14-XX)
1	Real functions (26-XX)
1	Special functions (33-XX)
1	Convex and discrete geometry (52-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Computer science (68-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

39 Publications have been cited 821 times in 636 Documents	Cited by ▼	Year ▼
A rational finite element basis. Zbl 0322.65001 Wachspress, Eugene L.	212	1975
Iterative solution of elliptic systems and applications to the neutron diffusion equations of reactor physics. Zbl 0161.12203 Wachspress, E. L.	115	1966
Iterative solution of the Lyapunov matrix equation. Zbl 0631.65037 Wachspress, Eugene L.	75	1988
Solution of Lyapunov equations by alternating direction implicit iteration. Zbl 0724.65041 Lu, An; Wachspress, E. L.	51	1991
Extented application of alternating direction implicit iteration model problem theory. Zbl 0244.65045 Wachspress, Eugene L.	42	1964
The ADI model problem. Zbl 1277.65022 Wachspress, Eugene	38	2013
A numerically expedient rational finite element. Zbl 0479.41012 Wachspress, E. L.	34	1980
Optimum alternating-direction-implicit iteration parameters for a model problem. Zbl 0111.31401 Wachspress, E. L.	26	1962
An alternating-direction-implicit iteration technique. Zbl 0158.33901 Wachspress, E. L.; Habetler, G. J.	25	1960
Alternating direction implicit iteration for systems with complex spectra. Zbl 0737.65027 Ellner, Nancy S.; Wachspress, Eugene L.	23	1991
Barycentric coordinates for polytopes. Zbl 1222.65127 Wachspress, Eugene L.	20	2011
A rational basis for function approximation. Zbl 0229.65019 Wachspress, Eugene L.	18	1971
A rational basis for function approximation. Zbl 0232.65006 Wachspress, Eugene L.	17	1971
Incompatible quadrilateral basis functions. Zbl 0382.65006 Wachspress, Eugene L.	12	1978
Symmetric successive overrelaxation in solving diffusion difference equations. Zbl 0102.11403 Habetler, G. J.; Wachspress, E. L.	12	1961
Rational bases for convex polyhedra. Zbl 1189.52014 Wachspress, E.	11	2010
Rational bases and generalized barycentrics. Applications to finite elements and graphics. Zbl 1332.65004 Wachspress, Eugene	10	2016
Generalized ADI preconditioning. Zbl 0578.65027 Wachspress, Eugene L.	9	1984
Solution of the generalized ADI minimax problem. Zbl 0191.45301 Wachspress, E. L.	9	1969
The adjoint for an algebraic finite element. Zbl 1183.65143 Dasgupta, G.; Wachspress, E.	7	2008
A rational basis for function approximation. II: Curved sides. Zbl 0258.65100 Wachspress, Eugene L.	6	1973
Trail to a Lyapunov equation solver. Zbl 1139.65033 Wachspress, Eugene L.	5	2008
The ADI minimax problem for complex spectra. Zbl 0656.65096 Wachspress, Eugene L.	4	1988
Characterization of H-matrices. Zbl 1075.65044 Huang, Ting-Zhu; Leng, Jin-Song; Wachspress, E. L.; Tang, Yuan Yan	4	2004
The numerical solution of turbulent flow problems in general geometry. Zbl 0423.76024 Wachspress, E. L.	4	1980
Forbidden shapes in the finite element method. Zbl 0229.65082 Mitchell, A. R.; Phillips, G.; Wachspress, E.	4	1971
\(C^ 1\) rational finite elements. Zbl 0739.65006 Wachspress, E. L.	4	1991
Algebraic-geometry foundations for finite-element computation. Zbl 0282.65079 Wachspress, Eugene L.	4	1974
Three-variable alternating-direction-implicit iteration. Zbl 0792.65022 Wachspress, E. L.	3	1994
Basis functions for concave polygons. Zbl 1155.65390 Dasgupta, Gautam; Wachspress, Eugene L.	3	2008
High-order curved finite elements. Zbl 0461.65008 Wachspress, E. L.	3	1981
The case of the vanishing denominator. Zbl 0522.65004 Wachspress, Eugene L.	2	1980
Isojacobic crosswind differencing. Zbl 0382.65048 Wachspress, Eugene L.	2	1978
Rational basis functions for curved elements. Zbl 0466.65005 Wachspress, Eugene L.	2	1979
Editor’s introduction to “Automatic indexed calculation of Wachspress’ rational finite element functions” by G. R. Dalton. Zbl 0585.65005 Wachspress, Eugene L.	1	1985
Evaluating elliptic functions and their inverses. Zbl 0952.65027 Wachspress, E. L.	1	2000
ADI iterative solution of Lyapunov equations. Zbl 0785.65057 Wachspress, Eugene L.	1	1992
Stability of numerical solution of semi-discrete parabolic equations. Zbl 0419.65056 Wachspress, Eugene L.	1	1977
Consistent sparse factorization of elliptic difference equations. Zbl 0705.65022 Baker, A. J.; Noronha, W. P.; Wachspress, E. L.	1	1989
Rational bases and generalized barycentrics. Applications to finite elements and graphics. Zbl 1332.65004 Wachspress, Eugene	10	2016
The ADI model problem. Zbl 1277.65022 Wachspress, Eugene	38	2013
Barycentric coordinates for polytopes. Zbl 1222.65127 Wachspress, Eugene L.	20	2011
Rational bases for convex polyhedra. Zbl 1189.52014 Wachspress, E.	11	2010
The adjoint for an algebraic finite element. Zbl 1183.65143 Dasgupta, G.; Wachspress, E.	7	2008
Trail to a Lyapunov equation solver. Zbl 1139.65033 Wachspress, Eugene L.	5	2008
Basis functions for concave polygons. Zbl 1155.65390 Dasgupta, Gautam; Wachspress, Eugene L.	3	2008
Characterization of H-matrices. Zbl 1075.65044 Huang, Ting-Zhu; Leng, Jin-Song; Wachspress, E. L.; Tang, Yuan Yan	4	2004
Evaluating elliptic functions and their inverses. Zbl 0952.65027 Wachspress, E. L.	1	2000
Three-variable alternating-direction-implicit iteration. Zbl 0792.65022 Wachspress, E. L.	3	1994
ADI iterative solution of Lyapunov equations. Zbl 0785.65057 Wachspress, Eugene L.	1	1992
Solution of Lyapunov equations by alternating direction implicit iteration. Zbl 0724.65041 Lu, An; Wachspress, E. L.	51	1991
Alternating direction implicit iteration for systems with complex spectra. Zbl 0737.65027 Ellner, Nancy S.; Wachspress, Eugene L.	23	1991
\(C^ 1\) rational finite elements. Zbl 0739.65006 Wachspress, E. L.	4	1991
Consistent sparse factorization of elliptic difference equations. Zbl 0705.65022 Baker, A. J.; Noronha, W. P.; Wachspress, E. L.	1	1989
Iterative solution of the Lyapunov matrix equation. Zbl 0631.65037 Wachspress, Eugene L.	75	1988
The ADI minimax problem for complex spectra. Zbl 0656.65096 Wachspress, Eugene L.	4	1988
Editor’s introduction to “Automatic indexed calculation of Wachspress’ rational finite element functions” by G. R. Dalton. Zbl 0585.65005 Wachspress, Eugene L.	1	1985
Generalized ADI preconditioning. Zbl 0578.65027 Wachspress, Eugene L.	9	1984
High-order curved finite elements. Zbl 0461.65008 Wachspress, E. L.	3	1981
A numerically expedient rational finite element. Zbl 0479.41012 Wachspress, E. L.	34	1980
The numerical solution of turbulent flow problems in general geometry. Zbl 0423.76024 Wachspress, E. L.	4	1980
The case of the vanishing denominator. Zbl 0522.65004 Wachspress, Eugene L.	2	1980
Rational basis functions for curved elements. Zbl 0466.65005 Wachspress, Eugene L.	2	1979
Incompatible quadrilateral basis functions. Zbl 0382.65006 Wachspress, Eugene L.	12	1978
Isojacobic crosswind differencing. Zbl 0382.65048 Wachspress, Eugene L.	2	1978
Stability of numerical solution of semi-discrete parabolic equations. Zbl 0419.65056 Wachspress, Eugene L.	1	1977
A rational finite element basis. Zbl 0322.65001 Wachspress, Eugene L.	212	1975
Algebraic-geometry foundations for finite-element computation. Zbl 0282.65079 Wachspress, Eugene L.	4	1974
A rational basis for function approximation. II: Curved sides. Zbl 0258.65100 Wachspress, Eugene L.	6	1973
A rational basis for function approximation. Zbl 0229.65019 Wachspress, Eugene L.	18	1971
A rational basis for function approximation. Zbl 0232.65006 Wachspress, Eugene L.	17	1971
Forbidden shapes in the finite element method. Zbl 0229.65082 Mitchell, A. R.; Phillips, G.; Wachspress, E.	4	1971
Solution of the generalized ADI minimax problem. Zbl 0191.45301 Wachspress, E. L.	9	1969
Iterative solution of elliptic systems and applications to the neutron diffusion equations of reactor physics. Zbl 0161.12203 Wachspress, E. L.	115	1966
Extented application of alternating direction implicit iteration model problem theory. Zbl 0244.65045 Wachspress, Eugene L.	42	1964
Optimum alternating-direction-implicit iteration parameters for a model problem. Zbl 0111.31401 Wachspress, E. L.	26	1962
Symmetric successive overrelaxation in solving diffusion difference equations. Zbl 0102.11403 Habetler, G. J.; Wachspress, E. L.	12	1961
An alternating-direction-implicit iteration technique. Zbl 0158.33901 Wachspress, E. L.; Habetler, G. J.	25	1960

all cited Publications top 5 cited Publications

all top 5

Cited by 881 Authors

25	Benner, Peter
20	Wachspress, Eugene L.
15	Natarajan, Sundararajan
14	Sukumar, Natarajan
13	Evans, David John
12	Hadjidimos, Apostolos
12	Manzini, Gianmarco
11	Kürschner, Patrick
10	Beirão da Veiga, Lourenço
10	Brezzi, Franco
10	Nguyen-Xuan, Hung
10	Russo, Alessandro
10	Simoncini, Valeria
9	Marini, Luisa Donatella
9	Paulino, Glaucio H.
9	Saak, Jens
8	Floater, Michael S.
8	Ooi, Ean Tat
8	Song, Chongmin
7	Dasgupta, Gautam
6	Avdelas, George
6	Bajaj, Chandrajit L.
6	Deng, Chongyang
6	Hormann, Kai
6	Kosinka, Jiří
6	Lipnikov, Konstantin N.
6	Liu, Gui-Rong
6	McLeod, Robin J. Y.
6	Talischi, Cameron
6	Wang, Yanqiu
6	Young, David M. jun.
5	Bai, Zhongzhi
5	Gillette, Andrew
5	Jbilou, Khalide
5	Jiang, Chen
5	Kincaid, David Ronald
5	Palitta, Davide
5	Rand, Alexander
5	Stykel, Tatjana
4	Bordas, Stéphane Pierre Alain
4	Dikshit, Hanuman Prasad
4	Gout, Jean-Louis
4	Kim, Hyun-Gyu
4	Łoś, Marcin M.
4	Ma, Changfeng
4	Paszyński, Maciej
4	Powar, Pournima Laxmanrao
4	Sangalli, Giancarlo
4	Starke, Gerhard
4	Tabarraei, Alireza
4	Tani, Mattia
4	Vu-Huu, T.
4	Wahab, M. Abdel
4	Wang, Xiang
4	Wu, Shaowei
3	Anisimov, Dmitry
3	Apprato, Dominique
3	Arcangeli, Remi
3	Baker, Allen J.
3	Belyaev, Alexander G.
3	Bouhamidi, Abderrahman
3	Bujanović, Zvonimir
3	Calo, Victor Manuel
3	Cen, Song
3	Chau, Khanh N.
3	Chen, Juan
3	Chi, Heng
3	Faßbender, Heike
3	Fayolle, Pierre-Alain
3	Gavrilyuk, Ivan P.
3	Gyrya, Vitaliy T.
3	He, Anqi
3	Hossain, Mohammad-Sahadet
3	Hughes, Thomas J. R.
3	Lai, Mingjun
3	Le-Thanh, C.
3	Li, Chongjun
3	Li, Rencang
3	Liu, Jianzhou
3	Liu, Zhongyun
3	Malsch, Elisabeth Anna
3	Menezes, Ivan F. M.
3	Missirlis, Nikolaos M.
3	Montardini, Monica
3	Nguyen-Hoang, Son
3	Penzl, Thilo
3	Poloni, Federico Giovanni
3	Provatidis, Christopher G.
3	Reichel, Lothar
3	Sadkane, Miloud
3	Saputra, Albert A.
3	Shi, Dongyang
3	Szyld, Daniel B.
3	Townsend, Alex
3	Truhar, Ninoslav
3	Warren, Joe D.
3	Zhang, Yanlong
3	Zhang, Yulin
2	Alonso, Nicomedes III
2	Anderson, Christopher R.
...and 781 more Authors

all top 5

Cited in 128 Serials

57	Computers & Mathematics with Applications
45	Computer Methods in Applied Mechanics and Engineering
35	International Journal for Numerical Methods in Engineering
35	Computer Aided Geometric Design
33	Journal of Computational and Applied Mathematics
30	Journal of Computational Physics
26	Numerische Mathematik
24	Linear Algebra and its Applications
18	Applied Mathematics and Computation
16	Mathematics of Computation
14	Numerical Linear Algebra with Applications
13	Computational Mechanics
12	Applied Mathematics Letters
12	SIAM Journal on Scientific Computing
12	Engineering Analysis with Boundary Elements
11	International Journal of Computer Mathematics
10	Advances in Computational Mathematics
9	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8	Journal of Scientific Computing
6	Computing
6	Numerical Algorithms
5	Journal of Approximation Theory
5	Mathematics and Computers in Simulation
5	Applied Numerical Mathematics
5	Numerical Methods for Partial Differential Equations
5	SIAM Journal on Matrix Analysis and Applications
5	Mathematical Problems in Engineering
5	GAMM-Mitteilungen
5	BIT. Nordisk Tidskrift for Informationsbehandling
4	BIT
4	SIAM Journal on Numerical Analysis
4	Systems & Control Letters
4	Applied Mathematical Modelling
4	International Journal of Computational Methods
4	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3	Acta Mechanica
3	Computers and Fluids
3	Computer Physics Communications
3	Journal of Mathematical Analysis and Applications
3	SIAM Review
3	Computational Geosciences
2	Journal of the Franklin Institute
2	Mathematical Notes
2	Advances in Mathematics
2	Mathematische Zeitschrift
2	Meccanica
2	Numerical Functional Analysis and Optimization
2	RAIRO. Analyse Numérique
2	Applied Mathematics and Mechanics. (English Edition)
2	Science in China. Series A
2	Computational Mathematics and Mathematical Physics
2	Computational and Applied Mathematics
2	Filomat
2	ETNA. Electronic Transactions on Numerical Analysis
2	Soft Computing
2	Computational Methods in Applied Mathematics
2	Sādhanā
2	Journal of Numerical Mathematics
2	Numerical Algebra, Control and Optimization
2	Journal of Computational Dynamics
2	Journal of Computational and Theoretical Transport
1	Communications on Pure and Applied Mathematics
1	International Journal of Engineering Science
1	International Journal for Numerical Methods in Fluids
1	Linear and Multilinear Algebra
1	Mathematical Biosciences
1	Transport Theory and Statistical Physics
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Aplikace Matematiky
1	Automatica
1	Calcolo
1	Gaṇita
1	Journal of Computer and System Sciences
1	Journal of Soviet Mathematics
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	Siberian Mathematical Journal
1	Mathematica Numerica Sinica
1	Journal of Computational Mathematics
1	Parallel Computing
1	Journal of Complexity
1	Constructive Approximation
1	Mathematical and Computer Modelling
1	Japan Journal of Industrial and Applied Mathematics
1	Journal of Global Optimization
1	Pattern Recognition
1	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1	Acta Mechanica Sinica. (English Edition)
1	Computational Optimization and Applications
1	Communications in Numerical Methods in Engineering
1	Applied and Computational Harmonic Analysis
1	Applicationes Mathematicae
1	Mathematical Methods of Statistics
1	Turkish Journal of Mathematics
1	Advances in Applied Clifford Algebras
1	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1	Mathematical and Computer Modelling of Dynamical Systems
1	Journal of Interdisciplinary Mathematics
1	European Journal of Mechanics. B. Fluids
1	Communications in Nonlinear Science and Numerical Simulation
1	Optimization and Engineering
...and 28 more Serials

all top 5

Cited in 43 Fields

520	Numerical analysis (65-XX)
122	Partial differential equations (35-XX)
108	Linear and multilinear algebra; matrix theory (15-XX)
105	Mechanics of deformable solids (74-XX)
55	Approximations and expansions (41-XX)
44	Fluid mechanics (76-XX)
40	Systems theory; control (93-XX)
25	Computer science (68-XX)
12	Calculus of variations and optimal control; optimization (49-XX)
9	Ordinary differential equations (34-XX)
9	Statistical mechanics, structure of matter (82-XX)
7	Convex and discrete geometry (52-XX)
6	Functions of a complex variable (30-XX)
6	Dynamical systems and ergodic theory (37-XX)
6	Probability theory and stochastic processes (60-XX)
6	Optics, electromagnetic theory (78-XX)
6	Operations research, mathematical programming (90-XX)
5	Statistics (62-XX)
5	Classical thermodynamics, heat transfer (80-XX)
4	Combinatorics (05-XX)
4	Real functions (26-XX)
4	Special functions (33-XX)
4	Operator theory (47-XX)
4	Differential geometry (53-XX)
4	Information and communication theory, circuits (94-XX)
3	History and biography (01-XX)
3	Algebraic geometry (14-XX)
3	Geophysics (86-XX)
3	Biology and other natural sciences (92-XX)
2	General and overarching topics; collections (00-XX)
2	Potential theory (31-XX)
2	Sequences, series, summability (40-XX)
2	Integral equations (45-XX)
2	Functional analysis (46-XX)
2	Geometry (51-XX)
2	Global analysis, analysis on manifolds (58-XX)
2	Mechanics of particles and systems (70-XX)
1	Mathematical logic and foundations (03-XX)
1	Commutative algebra (13-XX)
1	Measure and integration (28-XX)
1	Difference and functional equations (39-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Mathematics education (97-XX)

Wachspress, Eugene L.

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 881 Authors

Cited in 128 Serials

Cited in 43 Fields

Citations by Year