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## Porsching, Thomas A.

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 Author ID: porsching.thomas-a Published as: Porsching, T.; Porsching, T. A.; Porsching, Thomas A.
 Documents Indexed: 43 Publications since 1963, including 1 Book
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#### Co-Authors

 12 single-authored 24 Hall, Charles Allan 3 Amit, Raphael 2 Bennett, T. L. 2 Cavendish, James C. 2 Frey, A. E. 2 Sledge, F. R. 1 Burkardt, John V. 1 Chou, Shen-Huan 1 Chou, Shu-Hsuan 1 Chou, Shui-Hang 1 Cullen, Charles G. 1 Ellison, J. H. 1 Ernsthausen, John M. 1 Hageman, Louis A. 1 Henry, Allan F. 1 Lee, M. Lin 1 Mesina, G. L. 1 Mesina, George 1 Nicolaides, Roy A. 1 Peterson, Janet S.
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#### Serials

 7 SIAM Journal on Numerical Analysis 3 Mathematics of Computation 3 SIAM Journal on Applied Mathematics 2 IMA Journal of Numerical Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Numerische Mathematik 2 Linear Algebra and its Applications 1 Computers & Mathematics with Applications 1 Computers and Structures 1 Journal of Computational Physics 1 International Journal for Numerical Methods in Engineering 1 Quarterly of Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Communications of the ACM 1 International Journal of Numerical Methods for Heat & Fluid Flow
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#### Fields

 25 Numerical analysis (65-XX) 15 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 275 times in 205 Documents Cited by Year
Estimation of the error in the reduced basis method solution of nonlinear equations. Zbl 0586.65040
Porsching, T. A.
1985
Numerical analysis of partial differential equations. Zbl 0807.65093
Hall, Charles A.; Porsching, Thomas A.
1990
Covolume methods in computational fluid dynamics. Zbl 0875.76410
Nicolaides, R. A.; Porsching, T. A.; Hall, C. A.
1995
The reduced basis method for initial value problems. Zbl 0639.65039
Porsching, T. A.; Lee, M. Lin
1987
Bounds for the maximal eigenvalue of a nonnegative irreducible matrix. Zbl 0184.05701
Hall, C. A.; Porsching, T. A.
1969
An application of network theory to the solution of implicit Navier- Stokes difference equations. Zbl 0452.76024
Amit, R.; Hall, C. A.; Porsching, T. A.
1981
Generation of positive test matrices with known positive spectra. Zbl 0165.17502
Hall, C. A.; Porsching, T. A.
1968
A complementary volume approach for modelling three-dimensional Navier- Stokes equations using dual Delaunay/Voronoi tessellations. Zbl 0815.76041
Cavendish, J. C.; Hall, C. A.; Porsching, T. A.
1994
An unconditionally stable convergent finite difference method for Navier- Stokes problems on curved domains. Zbl 0637.76022
Ellison, J. H.; Hall, C. A.; Porsching, T. A.
1987
A network model for two-fluid, two-phase flow. Zbl 0637.76112
Porsching, T. A.
1985
The dual variable method for finite element discretizations of Navier/Stokes equations. Zbl 0587.76045
Hall, C. A.; Peterson, J. S.; Porsching, T. A.; Sledge, F. R.
1985
Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations. Zbl 0381.65004
Frey, A. E.; Hall, C. A.; Porsching, T. A.
1978
Error estimates for MAC-like approximations to the linear Navier-Stokes equations. Zbl 0352.65057
Porsching, T. A.
1978
On the origins and numerical solution of some sparse nonlinear systems. Zbl 0343.65021
Porsching, T. A.
1976
Aspects of nonlinear block successive overrelaxation. Zbl 0276.65027
Hageman, L. A.; Porsching, T. A.
1975
Computing the maximal eingenvalue and eigenvector of a nonnegative irreducible matrix. Zbl 0208.40203
Hall, C. A.; Porsching, T. A.
1968
Computing the maximal eigenvalue and eigenvector of a positive matrix. Zbl 0157.22701
Hall, C. A.; Porsching, T. A.
1968
Jacobi and Gauss-Seidel methods for nonlinear network problems. Zbl 0182.22601
Porsching, T. A.
1969
On a network method for unsteady incompressible fluid flow on triangular grids. Zbl 0825.76445
Hall, C. A.; Porsching, T. A.; Mesina, G. L.
1992
Flow problems, finite differences and the frontal method. Zbl 0452.76079
Amit, R.; Cullen, C.; Hall, C. A.; Mesina, G.; Porsching, T.
1980
Diagonal similarity transformations which isolate Gerschgorin disks. Zbl 0145.25102
Porsching, T. A.
1966
Minimax approximation of optical profiles. Zbl 0918.41024
Porsching, T. A.; Hall, C. A.; Bennett, T. L.
1998
A note on contraction numbers for additive correction methods. Zbl 0705.65021
Chou, S. H.; Porsching, T. A.
1989
The dual variable method for the solution of compressible fluid flow problems. Zbl 0591.76124
Burkardt, J.; Hall, C.; Porsching, T.
1986
A characteristic-like method for thermally expandable flow on unstructured triangular grids. Zbl 0865.76051
Hall, C. A.; Porsching, T. A.
1996
A separation theorem for non-symmetric matrices. Zbl 0162.33501
Hall, C. A.; Porsching, T. A.
1968
Approximation methods in the computer numerically controlled fabrication of optical surfaces. II: Mollifications. Zbl 0799.65016
Hall, C. A.; Porsching, T. A.
1992
Approximation methods in the computer numerically controlled fabrication of optical surfaces. I: Finite dimensional material removal profile spaces. Zbl 0801.65149
Hall, C. A.; Porsching, T. A.
1992
Contraction numbers for additive correction methods. Zbl 0708.65038
Chou, S. H.; Porsching, T. A.
1990
The numerical solution of one-dimensional thermally expandable flows. Zbl 0451.76086
Amit, R.; Porsching, T. A.
1980
Time-dependent nonlinear networks. Zbl 0197.46004
Porsching, T. A.
1970
On the spectrum of a matrix arising from a problem in reactor kinetics. Zbl 0155.06305
Porsching, T. A.
1968
Matrix assignments and an associated min max problem. Zbl 0112.12403
Porsching, T. A.
1963
Minimax approximation of optical profiles. Zbl 0918.41024
Porsching, T. A.; Hall, C. A.; Bennett, T. L.
1998
A characteristic-like method for thermally expandable flow on unstructured triangular grids. Zbl 0865.76051
Hall, C. A.; Porsching, T. A.
1996
Covolume methods in computational fluid dynamics. Zbl 0875.76410
Nicolaides, R. A.; Porsching, T. A.; Hall, C. A.
1995
A complementary volume approach for modelling three-dimensional Navier- Stokes equations using dual Delaunay/Voronoi tessellations. Zbl 0815.76041
Cavendish, J. C.; Hall, C. A.; Porsching, T. A.
1994
On a network method for unsteady incompressible fluid flow on triangular grids. Zbl 0825.76445
Hall, C. A.; Porsching, T. A.; Mesina, G. L.
1992
Approximation methods in the computer numerically controlled fabrication of optical surfaces. II: Mollifications. Zbl 0799.65016
Hall, C. A.; Porsching, T. A.
1992
Approximation methods in the computer numerically controlled fabrication of optical surfaces. I: Finite dimensional material removal profile spaces. Zbl 0801.65149
Hall, C. A.; Porsching, T. A.
1992
Numerical analysis of partial differential equations. Zbl 0807.65093
Hall, Charles A.; Porsching, Thomas A.
1990
Contraction numbers for additive correction methods. Zbl 0708.65038
Chou, S. H.; Porsching, T. A.
1990
A note on contraction numbers for additive correction methods. Zbl 0705.65021
Chou, S. H.; Porsching, T. A.
1989
The reduced basis method for initial value problems. Zbl 0639.65039
Porsching, T. A.; Lee, M. Lin
1987
An unconditionally stable convergent finite difference method for Navier- Stokes problems on curved domains. Zbl 0637.76022
Ellison, J. H.; Hall, C. A.; Porsching, T. A.
1987
The dual variable method for the solution of compressible fluid flow problems. Zbl 0591.76124
Burkardt, J.; Hall, C.; Porsching, T.
1986
Estimation of the error in the reduced basis method solution of nonlinear equations. Zbl 0586.65040
Porsching, T. A.
1985
A network model for two-fluid, two-phase flow. Zbl 0637.76112
Porsching, T. A.
1985
The dual variable method for finite element discretizations of Navier/Stokes equations. Zbl 0587.76045
Hall, C. A.; Peterson, J. S.; Porsching, T. A.; Sledge, F. R.
1985
An application of network theory to the solution of implicit Navier- Stokes difference equations. Zbl 0452.76024
Amit, R.; Hall, C. A.; Porsching, T. A.
1981
Flow problems, finite differences and the frontal method. Zbl 0452.76079
Amit, R.; Cullen, C.; Hall, C. A.; Mesina, G.; Porsching, T.
1980
The numerical solution of one-dimensional thermally expandable flows. Zbl 0451.76086
Amit, R.; Porsching, T. A.
1980
Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations. Zbl 0381.65004
Frey, A. E.; Hall, C. A.; Porsching, T. A.
1978
Error estimates for MAC-like approximations to the linear Navier-Stokes equations. Zbl 0352.65057
Porsching, T. A.
1978
On the origins and numerical solution of some sparse nonlinear systems. Zbl 0343.65021
Porsching, T. A.
1976
Aspects of nonlinear block successive overrelaxation. Zbl 0276.65027
Hageman, L. A.; Porsching, T. A.
1975
Time-dependent nonlinear networks. Zbl 0197.46004
Porsching, T. A.
1970
Bounds for the maximal eigenvalue of a nonnegative irreducible matrix. Zbl 0184.05701
Hall, C. A.; Porsching, T. A.
1969
Jacobi and Gauss-Seidel methods for nonlinear network problems. Zbl 0182.22601
Porsching, T. A.
1969
Generation of positive test matrices with known positive spectra. Zbl 0165.17502
Hall, C. A.; Porsching, T. A.
1968
Computing the maximal eingenvalue and eigenvector of a nonnegative irreducible matrix. Zbl 0208.40203
Hall, C. A.; Porsching, T. A.
1968
Computing the maximal eigenvalue and eigenvector of a positive matrix. Zbl 0157.22701
Hall, C. A.; Porsching, T. A.
1968
A separation theorem for non-symmetric matrices. Zbl 0162.33501
Hall, C. A.; Porsching, T. A.
1968
On the spectrum of a matrix arising from a problem in reactor kinetics. Zbl 0155.06305
Porsching, T. A.
1968
Diagonal similarity transformations which isolate Gerschgorin disks. Zbl 0145.25102
Porsching, T. A.
1966
Matrix assignments and an associated min max problem. Zbl 0112.12403
Porsching, T. A.
1963
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#### Cited by 273 Authors

 21 Patera, Anthony T. 12 Wang, Yuanming 10 Hall, Charles Allan 9 Pao, Chia-Ven 9 Zou, Qingsong 8 Maday, Yvon 8 Nguyen, Ngoc Cuong 8 Porsching, Thomas A. 7 Huynh, Dinh Bao Phuong 7 Knezevic, David J. 7 Rozza, Gianluigi 6 Chen, Yanlai 6 Chou, So-Hsiang 6 Veroy, Karen 5 Kwak, Do Young 5 Zhang, Zhimin 4 Li, Zi-Cai 4 Lipitakis, Elias A. 3 Cavendish, James C. 3 Chou, Shen-Huan 3 Eymard, Robert 3 Gravvanis, George A. 3 Herrero, Henar 3 Linke, Alexander 3 Narayan, Akil C. 3 Perot, Blair 3 Pla, Francisco 3 Quarteroni, Alfio M. 3 Szulc, Tomasz 2 Amit, Raphael 2 Benner, Peter 2 Boyaval, Sébastien 2 Elsner, Ludwig F. 2 Field, David A. 2 Gallouët, Thierry 2 Grepl, Martin A. 2 He, Wenming 2 Herbin, Raphaèle 2 Hesthaven, Jan S. 2 Jiang, Jiahua 2 Johnston, Roy L. 2 Le Bris, Claude 2 Li, Qian 2 Manzoni, Andrea 2 Mehrmann, Volker 2 Mohanty, Ranjan Kumar 2 Moret, Igor 2 Novati, Paolo 2 Penn, James D. 2 Perot, J. Blair 2 Peterson, John W. 2 Prud’homme, Christophe 2 Rheinboldt, Werner C. 2 Rovas, Dimitrios V. 2 Schwandt, Hartmut 2 Segal, Alexander 2 Subramanian, V. S. A. 2 Taddei, Tommaso 2 Vassilevski, Panayot Spirov 2 Vidovic, Dragan 2 Wesseling, Peter 2 Wesseling, Pieter 2 Yang, Min 2 Yano, Masayuki 2 Ye, Xiu 1 Abdol Azis, Mohd Hazmil 1 Ahmad Ali, Ahmad 1 Anthonissen, Martijn Johannes Hermanus 1 Arabie, Phipps 1 Aronsson, Gunnar 1 Asaithambi, N. S. 1 Aurentz, Jared Lee 1 Bamler, Robert 1 Barber, Jared 1 Barrett, Kenneth E. 1 Bartholomew, Paul 1 Belegundu, Ashok D. 1 Bell, John B. 1 Beltman, René 1 Bennett, T. L. 1 Brauer, Alfred 1 Brindley, John 1 Brualdi, Richard Anthony 1 Bu, Changjiang 1 Buell, Walter F. 1 Burkardt, John V. 1 Byrne, George D. 1 Cano, Alfredo 1 Carlberg, Kevin T. 1 Che, Haitao 1 Chen, Chuanjun 1 Chen, Long 1 Chen, Mu-Fa 1 Chen, Renchen 1 Chen, Yanli 1 Chen, Zhangxin 1 Chénier, Eric 1 Chou, Shui-Hang 1 Clark, Kenneth D. 1 Constantine, Paul G. ...and 173 more Authors
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#### Cited in 65 Serials

 20 Journal of Computational Physics 16 Journal of Computational and Applied Mathematics 13 Linear Algebra and its Applications 11 Computer Methods in Applied Mechanics and Engineering 10 Journal of Scientific Computing 7 Computers & Mathematics with Applications 7 Journal of Mathematical Analysis and Applications 6 Mathematics of Computation 6 Applied Mathematics and Computation 6 Computing 6 Applied Numerical Mathematics 5 International Journal for Numerical Methods in Engineering 5 Numerische Mathematik 5 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Algebraic and Discrete Methods 4 International Journal of Computer Mathematics 4 Archives of Computational Methods in Engineering 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Numerical Analysis 3 Mathematical and Computer Modelling 3 SIAM Journal on Scientific Computing 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computers and Fluids 2 International Journal for Numerical Methods in Fluids 2 Mathematical Biosciences 2 Calcolo 2 Mathematics and Computers in Simulation 2 Physica D 2 Applied Mathematics Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 2 Journal of Mathematics in Industry 1 Linear and Multilinear Algebra 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Automatica 1 Journal of Mathematical Psychology 1 Kybernetika 1 Numerical Functional Analysis and Optimization 1 Japan Journal of Applied Mathematics 1 Constructive Approximation 1 COMPEL 1 Communications in Statistics. Simulation and Computation 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Combinatorial Optimization 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering 1 Physical Review Letters 1 Sādhanā 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Frontiers of Mathematics in China 1 Signal, Image and Video Processing 1 Science China. Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 27 Fields

 152 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 52 Fluid mechanics (76-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 12 Ordinary differential equations (34-XX) 11 Mechanics of deformable solids (74-XX) 8 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 7 Biology and other natural sciences (92-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 5 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)