# zbMATH — the first resource for mathematics

## Software - Environments - Tools

 Short Title: Softw. Environ. Tools Publisher: SIAM, Philadelphia, PA Online: http://bookstore.siam.org/software-environments-and-tools/ Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 32 Publications (since 1995)
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#### Latest Volumes

 32 (2021) 31 (2020) 30 (2019) 29 (2019) 28 (2018) 27 (2016) 26 (2016) 25 (2013) 24 (2012) 23 (2011) 22 (2011) 21 (2009) 20 (2006) 19 (2006) 18 (2005) 17 (2005) 16 (2003) 15 (2003) 14 (2002) 13 (2001) 12 (2001) 11 (2000) 10 (2000) 9 (1999) 8 (1999) 7 (1998) 6 (1998) 5 (1998) 4 (1997) 3 (1996) 2 (1995) 1 (1996)
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#### Authors / Editors

 5 Dongarra, Jack J. 3 Demmel, James Weldon 3 Gautschi, Walter 3 Hammarling, Sven J. 3 Sorensen, Danny C. 2 Bai, Zhaojun 2 Berry, Michael W. 2 Blackford, L. S. 2 Browne, Murray 2 Du Croz, Jeremy J. 2 Kepner, Jeremy 2 Van der Vorst, Henk Albertus 1 Anderson, Edward 1 Astfalk, Greg 1 Bank, Randolph E. 1 Barker, Vincent A. 1 Bates, Daniel J. 1 Bischof, Christian H. 1 Blackford, S. 1 Bueler, Edward L. 1 Chaitin-Chatelin, Françoise 1 Choi, Jaeyoung 1 Chopp, David L. 1 Cleary, Andrew J. 1 Coleman, Thomas F. 1 D’Azevedo, Eduardo F. 1 Douglas, Craig C. 1 Duff, Iain S. 1 Einarsson, Bo 1 Ermentrout, Bard G. 1 Frayssé, Valérie 1 Gilbert, John R. 1 Goedecker, Stefan 1 Greenbaum, Anne 1 Haase, Gundolf 1 Hauenstein, Jonathan D. 1 Henry, Greg M. 1 Heroux, Michael A. 1 Hockney, Roger W. 1 Hoisie, Adolfy 1 Huckle, Thomas Kilian 1 Kelley, Carl T. 1 Komzsik, Louis 1 Langer, Ulrich 1 Lehoucq, Richard B. 1 Marinova, Marina 1 McKenney, Alan 1 Meurant, Gérard A. 1 Naumann, Uwe 1 Neckel, Tobias 1 Petitet, Antoine 1 Raghavan, Padma 1 Ruhe, Axel 1 Simon, Horst D. 1 Sommese, Andrew John 1 Trefethen, Lloyd Nicholas 1 Walker, David W. 1 Wampler, Charles W. II 1 Waśniewski, Jerzy 1 Whaley, R. Clint 1 Yalamov, Plamen Y.
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#### Fields

 24 Numerical analysis (65-XX) 18 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 2,764 times in 2,622 Documents Cited by Year
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
2000
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
1998
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
1999
Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738
Ermentrout, Bard
2002
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.)
2000
ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022
Blackford, L. S.; Choi, J.; Cleary, A.; D’Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C.
1997
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
2013
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
1998
Lectures on finite precision computations. Zbl 0846.65020
Chaitin-Chatelin, Françoise; Frayssé, Valérie
1996
The Lanczos and conjugate gradient algoritms. From theory to finite precision computations. Zbl 1110.65029
Meurant, Gérard
2006
The art of differentiating computer programs. An introduction to algorithmic differentiation. Zbl 1275.65015
Naumann, Uwe
2012
Implicit filtering. Zbl 1246.68017
Kelley, C. T.
2011
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
1998
LAPACK95 user’s guide. Zbl 0992.65013
Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P.
2001
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
2016
Understanding search engines. Mathematical modeling and text retrieval. Zbl 0996.68500
Berry, Michael W.; Browne, Murray
1999
Performance optimization of numerically intensive codes. Zbl 0985.68006
2001
Understanding search engines. Mathematical modeling and text retrieval. 2nd ed. Zbl 1075.68591
Berry, Michael W.; Browne, Murray
2005
The Lanczos method. Evolution and application. Zbl 1022.65038
Komzsik, Louis
2003
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
2003
Graph algorithms in the language of linear algebra. Zbl 1221.05010
Kepner, Jeremy (ed.); Gilbert, John (ed.)
2011
A software repository for orthogonal polynomials. Zbl 1398.33001
Gautschi, Walter
2018
Accuracy and reliability in scientific computing. Zbl 1073.65500
2005
Automatic differentiation in MATLAB using ADMAT with applications. Zbl 1364.65056
Coleman, Thomas F.; Xu, Wei
2016
The science of computer benchmarking. Zbl 0854.68004
Hockney, Roger W.
1995
Parallel processing for scientific computing. Zbl 1104.68349
Heroux, Michael A. (ed.); Raghavan, Padma (ed.); Simon, Horst D. (ed.)
2006
Parallel MATLAB for multicore and multinode computers. Zbl 1194.68093
Kepner, Jeremy
2009
A software repository for orthogonal polynomials. Zbl 1398.33001
Gautschi, Walter
2018
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
2016
Automatic differentiation in MATLAB using ADMAT with applications. Zbl 1364.65056
Coleman, Thomas F.; Xu, Wei
2016
Numerically solving polynomial systems with Bertini. Zbl 1295.65057
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
2013
The art of differentiating computer programs. An introduction to algorithmic differentiation. Zbl 1275.65015
Naumann, Uwe
2012
Implicit filtering. Zbl 1246.68017
Kelley, C. T.
2011
Graph algorithms in the language of linear algebra. Zbl 1221.05010
Kepner, Jeremy; Gilbert, John
2011
Parallel MATLAB for multicore and multinode computers. Zbl 1194.68093
Kepner, Jeremy
2009
The Lanczos and conjugate gradient algoritms. From theory to finite precision computations. Zbl 1110.65029
Meurant, Gérard
2006
Parallel processing for scientific computing. Zbl 1104.68349
Heroux, Michael A.; Raghavan, Padma; Simon, Horst D.
2006
Understanding search engines. Mathematical modeling and text retrieval. 2nd ed. Zbl 1075.68591
Berry, Michael W.; Browne, Murray
2005
Accuracy and reliability in scientific computing. Zbl 1073.65500
2005
The Lanczos method. Evolution and application. Zbl 1022.65038
Komzsik, Louis
2003
A tutorial on elliptic PDE solvers and their parallelization. Zbl 1029.65121
Douglas, Craig C.; Haase, Gundolf; Langer, Ulrich
2003
Simulating, analyzing, and animating dynamical systems. A guide to XPPAUT for researchers and students. Zbl 1003.68738
Ermentrout, Bard
2002
LAPACK95 user’s guide. Zbl 0992.65013
Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P.
2001
Performance optimization of numerically intensive codes. Zbl 0985.68006
2001
Spectral methods in Matlab. Zbl 0953.68643
Trefethen, Lloyd N.
2000
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, Zhaojun; Demmel, James; Dongarra, Jack; Ruhe, Axel; Van der Vorst, Henk
2000
LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D.
1999
Understanding search engines. Mathematical modeling and text retrieval. Zbl 0996.68500
Berry, Michael W.; Browne, Murray
1999
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
1998
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
1998
PLTMG: a software package for solving elliptic partial differential equations user’s guide 8. 0. Zbl 0990.65500
Bank, Randolph E.
1998
ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022
Blackford, L. S.; Choi, J.; Cleary, A.; D&rsquo;Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C.
1997
Lectures on finite precision computations. Zbl 0846.65020
Chaitin-Chatelin, Françoise; Frayssé, Valérie
1996
The science of computer benchmarking. Zbl 0854.68004
Hockney, Roger W.
1995
all top 5

#### Cited by 4,581 Authors

 29 Motsa, Sandile Sydney 20 Sibanda, Precious 17 Benner, Peter 15 Hauenstein, Jonathan D. 15 Kressner, Daniel 15 Nakatsukasa, Yuji 15 Shateyi, Stanford 14 Klein, Christian 13 Boyd, John Philip 13 Giani, Stefano 13 Rubin, Jonathan E. 11 Dongarra, Jack J. 11 Moehlis, Jeff 10 Aishima, Kensuke 10 Dehghan Takht Fooladi, Mehdi 10 Lin, Wen-Wei 10 Quintana-Ortí, Enrique S. 10 Román, Jose E. 10 Ward, Michael J. 9 Breda, Dimitri 9 Han, Zhongjie 9 Javidi, Mohammad 9 Simoncini, Valeria 9 Xu, Gen-Qi 9 Zeitlin, Vladimir 9 Zhou, Yunkai 8 Ashwin, Peter 8 de la Hoz, Francisco 8 Driscoll, Tobin A. 8 Gu, Huaguang 8 Higham, Nicholas J. 8 Mehrmann, Volker 8 Pini, Giorgio 8 Saad, Yousef 8 Schmid, Peter Joseph 8 Shivanian, Elyas 8 Wei, Yimin 8 Wu, Gang 7 Bertram, Richard 7 Bhrawy, Ali Hassan 7 Bose, Amitabha 7 Hao, Wenrui 7 Jia, Zhongxiao 7 Kalliadasis, Serafim 7 Kronbichler, Martin 7 Quintana-Ortí, Gregorio 7 Sharapudinov, Idris Idrisovich 7 Sorensen, Danny C. 7 Townsend, Alex 7 Trefethen, Lloyd Nicholas 7 Vermiglio, Rossana 7 Wang, Weichung 7 Xiang, Shuhuang 6 Abbasbandy, Saeid 6 Abd-Elhameed, Waleed Mohamed 6 Bai, Zhaojun 6 Bangerth, Wolfgang 6 Bates, Daniel J. 6 Bhuruth, Muddun 6 Butcher, Eric A. 6 Campbell, Sue Ann 6 Dutykh, Denys 6 Elgindy, Kareem T. 6 Embree, Mark 6 Ermentrout, Bard G. 6 Gratton, Serge 6 Guo, Bao-Zhu 6 Heister, Timo 6 Heltai, Luca 6 Hernández, Vicente G. 6 Ibáñez González, Jacinto Javier 6 Kevrekidis, Panayotis G. 6 Kurths, Jürgen 6 Lehoucq, Richard B. 6 Lin, Lin 6 Lu, Ding 6 Lu, Linzhang 6 Mai-Duy, Nam 6 Maier, Matthias Sebastian 6 Martinsson, Per-Gunnar 6 Milovanović, Gradimir V. 6 Navon, Ionel Michael 6 Salinger, Andrew G. 6 Schlatter, Philipp 6 Sipp, Denis 6 Sturmfels, Bernd 6 Tisseur, Françoise 6 Turcksin, Bruno 6 Vadillo, Fernando 6 Van Gijzen, Martin Bastiaan 6 Wolkowicz, Gail S. K. 6 Wu, Boying 6 Ying, Lexing 6 Zhang, Lei-Hong 5 Arias, Enrique 5 Arndt, Daniel 5 Bergamaschi, Luca 5 Butera, Robert J. jun. 5 Carson, Erin Claire 5 Chaitin-Chatelin, Françoise ...and 4,481 more Authors
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#### Cited in 369 Journals

 183 Journal of Computational Physics 124 Journal of Fluid Mechanics 118 Journal of Computational and Applied Mathematics 84 SIAM Journal on Scientific Computing 65 Numerical Linear Algebra with Applications 59 Computer Physics Communications 59 Applied Mathematics and Computation 55 Journal of Scientific Computing 54 Computers & Mathematics with Applications 54 Applied Numerical Mathematics 54 Linear Algebra and its Applications 50 Physica D 49 Numerical Algorithms 42 International Journal for Numerical Methods in Engineering 39 Computer Methods in Applied Mechanics and Engineering 37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 36 Journal of Theoretical Biology 32 Computers and Fluids 30 Chaos 30 Communications in Nonlinear Science and Numerical Simulation 29 BIT 28 International Journal for Numerical Methods in Fluids 28 Bulletin of Mathematical Biology 28 Numerische Mathematik 28 Journal of Computational Neuroscience 26 SIAM Journal on Matrix Analysis and Applications 26 Physics of Fluids 26 Optimization Methods & Software 22 Mathematical Problems in Engineering 21 Mathematics of Computation 18 Journal of Mathematical Biology 18 Computational Optimization and Applications 18 Nonlinear Dynamics 17 Applied Mathematical Modelling 17 Engineering Analysis with Boundary Elements 16 Mathematical Biosciences 15 ACM Transactions on Mathematical Software 15 Mathematics and Computers in Simulation 15 Journal of Nonlinear Science 14 Journal of Symbolic Computation 14 Japan Journal of Industrial and Applied Mathematics 14 International Journal of Computer Mathematics 14 SIAM Journal on Applied Dynamical Systems 12 Physics Letters. A 12 Computational and Applied Mathematics 11 Abstract and Applied Analysis 10 SIAM Journal on Numerical Analysis 10 Computational Statistics and Data Analysis 10 Mathematical Programming. Series A. Series B 10 Journal of High Energy Physics 9 Biological Cybernetics 9 Mathematical Methods in the Applied Sciences 9 Wave Motion 9 Theoretical Population Biology 9 Numerical Methods for Partial Differential Equations 9 Mathematical and Computer Modelling 9 SIAM Journal on Applied Mathematics 9 SIAM Journal on Optimization 9 Communications in Numerical Methods in Engineering 9 Advances in Computational Mathematics 9 Discrete and Continuous Dynamical Systems. Series B 8 Automatica 8 Parallel Computing 8 European Journal of Operational Research 8 European Journal of Mechanics. B. Fluids 8 Multiscale Modeling & Simulation 8 Acta Numerica 7 International Journal of Control 7 Journal of Engineering Mathematics 7 Journal of Mathematical Analysis and Applications 7 Computing 7 SIAM Review 7 Journal of Applied Mathematics 6 Calcolo 6 Journal of Optimization Theory and Applications 6 Studies in Applied Mathematics 6 Computational Mechanics 6 Annals of Physics 6 Computing and Visualization in Science 6 Computational Geosciences 6 Nonlinear Analysis. Real World Applications 6 Journal of Numerical Mathematics 6 Boundary Value Problems 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 The Journal of Mathematical Neuroscience 6 International Journal of Applied and Computational Mathematics 5 Acta Mechanica 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Nonlinearity 5 Chaos, Solitons and Fractals 5 Optimal Control Applications & Methods 5 Systems & Control Letters 5 Neural Computation 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 European Journal of Mechanics. A. Solids 5 International Journal of Modern Physics C 5 Concurrency and Computation: Practice & Experience 5 Journal of Biological Dynamics 4 International Journal for Numerical and Analytical Methods in Geomechanics ...and 269 more Journals
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#### Cited in 54 Fields

 1,432 Numerical analysis (65-XX) 480 Fluid mechanics (76-XX) 438 Partial differential equations (35-XX) 323 Biology and other natural sciences (92-XX) 286 Ordinary differential equations (34-XX) 188 Linear and multilinear algebra; matrix theory (15-XX) 174 Mechanics of deformable solids (74-XX) 155 Dynamical systems and ergodic theory (37-XX) 150 Computer science (68-XX) 136 Operations research, mathematical programming (90-XX) 112 Systems theory; control (93-XX) 104 Statistical mechanics, structure of matter (82-XX) 95 Quantum theory (81-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 78 Optics, electromagnetic theory (78-XX) 74 Statistics (62-XX) 57 Approximations and expansions (41-XX) 56 Classical thermodynamics, heat transfer (80-XX) 47 Probability theory and stochastic processes (60-XX) 46 Geophysics (86-XX) 42 Algebraic geometry (14-XX) 34 Special functions (33-XX) 32 Integral equations (45-XX) 30 Mechanics of particles and systems (70-XX) 29 Information and communication theory, circuits (94-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Operator theory (47-XX) 21 Real functions (26-XX) 20 Commutative algebra (13-XX) 17 Combinatorics (05-XX) 12 Relativity and gravitational theory (83-XX) 10 Functions of a complex variable (30-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Field theory and polynomials (12-XX) 8 Astronomy and astrophysics (85-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)