Edit Profile (opens in new tab) Porsching, Thomas A. Co-Author Distance Author ID: porsching.thomas-a Published as: Porsching, T. A.; Porsching, Thomas A.; Porsching, T. more...less Documents Indexed: 43 Publications since 1963, including 1 Book Co-Authors: 16 Co-Authors with 28 Joint Publications 108 Co-Co-Authors all top 5 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 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 Nicolaides, Roy A. 1 Peterson, Janet S. all top 5 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 all top 5 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) 2 Information and communication theory, circuits (94-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 296 times in 239 Documents Cited by ▼ Year ▼ Estimation of the error in the reduced basis method solution of nonlinear equations. Zbl 0586.65040 Porsching, T. A. 54 1985 Covolume methods in computational fluid dynamics. Zbl 0875.76410 Nicolaides, R. A.; Porsching, T. A.; Hall, C. A. 41 1995 The reduced basis method for initial value problems. Zbl 0639.65039 Porsching, T. A.; Lee, M. Lin 24 1987 Bounds for the maximal eigenvalue of a nonnegative irreducible matrix. Zbl 0184.05701 Hall, C. A.; Porsching, T. A. 18 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. 15 1981 Numerical analysis of partial differential equations. Zbl 0807.65093 Hall, Charles A.; Porsching, Thomas A. 13 1990 Generation of positive test matrices with known positive spectra. Zbl 0165.17502 Hall, C. A.; Porsching, T. A. 12 1968 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. 10 1985 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. 9 1994 Error estimates for MAC-like approximations to the linear Navier-Stokes equations. Zbl 0352.65057 Porsching, T. A. 9 1978 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. 9 1987 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. 9 1978 Aspects of nonlinear block successive overrelaxation. Zbl 0276.65027 Hageman, L. A.; Porsching, T. A. 8 1975 A network model for two-fluid, two-phase flow. Zbl 0637.76112 Porsching, T. A. 7 1985 On the origins and numerical solution of some sparse nonlinear systems. Zbl 0343.65021 Porsching, T. A. 7 1976 Computing the maximal eingenvalue and eigenvector of a nonnegative irreducible matrix. Zbl 0208.40203 Hall, C. A.; Porsching, T. A. 7 1968 Computing the maximal eigenvalue and eigenvector of a positive matrix. Zbl 0157.22701 Hall, C. A.; Porsching, T. A. 6 1968 On a network method for unsteady incompressible fluid flow on triangular grids. Zbl 0825.76445 Hall, C. A.; Porsching, T. A.; Mesina, G. L. 5 1992 Jacobi and Gauss-Seidel methods for nonlinear network problems. Zbl 0182.22601 Porsching, T. A. 5 1969 The dual variable method for the solution of compressible fluid flow problems. Zbl 0591.76124 Burkardt, J.; Hall, C.; Porsching, T. 4 1986 Diagonal similarity transformations which isolate Gerschgorin disks. Zbl 0145.25102 Porsching, T. A. 4 1966 A note on contraction numbers for additive correction methods. Zbl 0705.65021 Chou, S. H.; Porsching, T. A. 3 1989 Minimax approximation of optical profiles. Zbl 0918.41024 Porsching, T. A.; Hall, C. A.; Bennett, T. L. 3 1998 Approximation methods in the computer numerically controlled fabrication of optical surfaces. II: Mollifications. Zbl 0799.65016 Hall, C. A.; Porsching, T. A. 2 1992 Flow problems, finite differences and the frontal method. Zbl 0452.76079 Amit, R.; Cullen, C.; Hall, C. A.; Mesina, G.; Porsching, T. 2 1980 A separation theorem for non-symmetric matrices. Zbl 0162.33501 Hall, C. A.; Porsching, T. A. 2 1968 A characteristic-like method for thermally expandable flow on unstructured triangular grids. Zbl 0865.76051 Hall, C. A.; Porsching, T. A. 2 1996 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. 1 1992 Contraction numbers for additive correction methods. Zbl 0708.65038 Chou, S. H.; Porsching, T. A. 1 1990 Matrix assignments and an associated min max problem. Zbl 0112.12403 Porsching, T. A. 1 1963 The numerical solution of one-dimensional thermally expandable flows. Zbl 0451.76086 Amit, R.; Porsching, T. A. 1 1980 Time-dependent nonlinear networks. Zbl 0197.46004 Porsching, T. A. 1 1970 On the spectrum of a matrix arising from a problem in reactor kinetics. Zbl 0155.06305 Porsching, T. A. 1 1968 Minimax approximation of optical profiles. Zbl 0918.41024 Porsching, T. A.; Hall, C. A.; Bennett, T. L. 3 1998 A characteristic-like method for thermally expandable flow on unstructured triangular grids. Zbl 0865.76051 Hall, C. A.; Porsching, T. A. 2 1996 Covolume methods in computational fluid dynamics. Zbl 0875.76410 Nicolaides, R. A.; Porsching, T. A.; Hall, C. A. 41 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. 9 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. 5 1992 Approximation methods in the computer numerically controlled fabrication of optical surfaces. II: Mollifications. Zbl 0799.65016 Hall, C. A.; Porsching, T. A. 2 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. 1 1992 Numerical analysis of partial differential equations. Zbl 0807.65093 Hall, Charles A.; Porsching, Thomas A. 13 1990 Contraction numbers for additive correction methods. Zbl 0708.65038 Chou, S. H.; Porsching, T. A. 1 1990 A note on contraction numbers for additive correction methods. Zbl 0705.65021 Chou, S. H.; Porsching, T. A. 3 1989 The reduced basis method for initial value problems. Zbl 0639.65039 Porsching, T. A.; Lee, M. Lin 24 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. 9 1987 The dual variable method for the solution of compressible fluid flow problems. Zbl 0591.76124 Burkardt, J.; Hall, C.; Porsching, T. 4 1986 Estimation of the error in the reduced basis method solution of nonlinear equations. Zbl 0586.65040 Porsching, T. A. 54 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. 10 1985 A network model for two-fluid, two-phase flow. Zbl 0637.76112 Porsching, T. A. 7 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. 15 1981 Flow problems, finite differences and the frontal method. Zbl 0452.76079 Amit, R.; Cullen, C.; Hall, C. A.; Mesina, G.; Porsching, T. 2 1980 The numerical solution of one-dimensional thermally expandable flows. Zbl 0451.76086 Amit, R.; Porsching, T. A. 1 1980 Error estimates for MAC-like approximations to the linear Navier-Stokes equations. Zbl 0352.65057 Porsching, T. A. 9 1978 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. 9 1978 On the origins and numerical solution of some sparse nonlinear systems. Zbl 0343.65021 Porsching, T. A. 7 1976 Aspects of nonlinear block successive overrelaxation. Zbl 0276.65027 Hageman, L. A.; Porsching, T. A. 8 1975 Time-dependent nonlinear networks. Zbl 0197.46004 Porsching, T. A. 1 1970 Bounds for the maximal eigenvalue of a nonnegative irreducible matrix. Zbl 0184.05701 Hall, C. A.; Porsching, T. A. 18 1969 Jacobi and Gauss-Seidel methods for nonlinear network problems. Zbl 0182.22601 Porsching, T. A. 5 1969 Generation of positive test matrices with known positive spectra. Zbl 0165.17502 Hall, C. A.; Porsching, T. A. 12 1968 Computing the maximal eingenvalue and eigenvector of a nonnegative irreducible matrix. Zbl 0208.40203 Hall, C. A.; Porsching, T. A. 7 1968 Computing the maximal eigenvalue and eigenvector of a positive matrix. Zbl 0157.22701 Hall, C. A.; Porsching, T. A. 6 1968 A separation theorem for non-symmetric matrices. Zbl 0162.33501 Hall, C. A.; Porsching, T. A. 2 1968 On the spectrum of a matrix arising from a problem in reactor kinetics. Zbl 0155.06305 Porsching, T. A. 1 1968 Diagonal similarity transformations which isolate Gerschgorin disks. Zbl 0145.25102 Porsching, T. A. 4 1966 Matrix assignments and an associated min max problem. Zbl 0112.12403 Porsching, T. A. 1 1963 all cited Publications top 5 cited Publications all top 5 Cited by 320 Authors 23 Patera, Anthony T. 12 Wang, Yuanming 11 Zou, Qingsong 10 Hall, Charles Allan 10 Pao, Chia-Ven 9 Huynh, Dinh Bao Phuong 9 Knezevic, David J. 9 Maday, Yvon 8 Nguyen, Ngoc Cuong 8 Porsching, Thomas A. 8 Rozza, Gianluigi 6 Chen, Yanlai 6 Chou, So-Hsiang 6 Veroy, Karen 5 Zhang, Zhimin 4 Eymard, Robert 4 Kwak, Do Young 4 Li, Zi-Cai 4 Linke, Alexander 4 Lipitakis, Elias A. 4 Segal, Guus 4 Wesseling, Pieter 3 Cavendish, James C. 3 Gallouët, Thierry 3 Gravvanis, George A. 3 Herbin, Raphaèle 3 Herrero, Henar 3 Hesthaven, Jan S. 3 Narayan, Akil C. 3 Perot, Blair 3 Perot, J. Blair 3 Pla, Francisco 3 Prud’homme, Christophe 3 Quarteroni, Alfio M. 3 Szulc, Tomasz 3 Yang, Min 2 Amit, Raphael 2 Barber, Jared 2 Benner, Peter 2 Boyaval, Sébastien 2 Elsner, Ludwig F. 2 Field, David A. 2 Fuhrmann, Jürgen 2 Grepl, Martin A. 2 He, Wenming 2 Hirani, Anil N. 2 Jiang, Jiahua 2 Johnston, Roy L. 2 Le Bris, Claude 2 Li, Qian 2 Lin, Yanping 2 Liu, Wei 2 Liu, Yujie 2 Manzoni, Andrea 2 Mehrmann, Volker 2 Mohamed, Mamdouh S. 2 Mohanty, Ranjan Kumar 2 Moret, Igor 2 Novati, Paolo 2 Penn, James D. 2 Peterson, John W. 2 Rheinboldt, Werner C. 2 Rønquist, Einar M. 2 Rovas, Dimitrios V. 2 Samtaney, Ravi 2 Schwandt, Hartmut 2 Taddei, Tommaso 2 Todorov, Todor Dimitrov 2 Uschmajew, André 2 Vassilevski, Panayot Spirov 2 Vidovic, Dragan 2 Yano, Masayuki 2 Ye, Xiu 2 Yotov, Ivan 2 Zhang, Yuanyuan 1 Abdol Azis, Mohd Hazmil 1 Agarwal, Nikita 1 Ahmad Ali, Ahmad 1 Anthonissen, Martijn Johannes Hermanus 1 Arabie, Phipps 1 Aronsson, Gunnar 1 Asaithambi, N. S. 1 Aurentz, Jared Lee 1 Ballani, Jonas 1 Bamler, Robert 1 Barrett, Kenneth E. 1 Bartholomew, Paul 1 Belegundu, Ashok D. 1 Bell, John B. 1 Beltman, René 1 Bennett, T. L. 1 Bertrand, Fleurianne 1 Boffi, Daniele 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. ...and 220 more Authors all top 5 Cited in 78 Serials 25 Journal of Computational Physics 16 Journal of Computational and Applied Mathematics 14 Linear Algebra and its Applications 13 Computer Methods in Applied Mechanics and Engineering 10 Journal of Scientific Computing 9 Numerical Methods for Partial Differential Equations 8 Computers & Mathematics with Applications 7 Journal of Mathematical Analysis and Applications 7 International Journal for Numerical Methods in Engineering 7 Applied Numerical Mathematics 6 Mathematics of Computation 6 Applied Mathematics and Computation 6 Computing 5 Numerische Mathematik 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 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 Mathematical and Computer Modelling 3 SIAM Journal on Scientific Computing 3 Numerical Linear Algebra with Applications 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 Physica D 2 Applied Mathematics Letters 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Advances in Computational Mathematics 2 Advances in Applied Mathematics and Mechanics 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 Numerical Algorithms 1 Communications in Statistics. Simulation and Computation 1 SIAM Review 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 Computing and Visualization in Science 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 Foundations of Computational Mathematics 1 Sādhanā 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 GAMM-Mitteilungen 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Frontiers of Mathematics in China 1 Optimization Letters 1 Signal, Image and Video Processing 1 Communications in Computational Physics 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 Journal of Applied Analysis and Computation 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 28 Fields 182 Numerical analysis (65-XX) 81 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 12 Ordinary differential equations (34-XX) 12 Mechanics of deformable solids (74-XX) 10 Computer science (68-XX) 9 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 7 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Special functions (33-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) Citations by Year