×

zbMATH — the first resource for mathematics

Gropp, William D.

Compute Distance To:
Author ID: gropp.william-d Recent zbMATH articles by "Gropp, William D."
Published as: Gropp, William D.; Gropp, William; Gropp, W. D.; Gropp, W.
External Links: MGP · Wikidata · ORCID · GND
Documents Indexed: 53 Publications since 1980, including 1 Book

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,064 times in 972 Documents Cited by Year
Domain decomposition. Parallel multilevel methods for elliptic partial differential equations. Zbl 0857.65126
Smith, Barry F.; Bjørstad, Petter E.; Gropp, William D.
424
1996
Efficient management of parallelism in object-oriented numerical software libraries. Zbl 0882.65154
Balay, Satish; Gropp, William D.; McInnes, Lois Curfman; Smith, Barry F.
239
1997
A high-performance, portable implementation of the MPI message passing interface standard. Zbl 0875.68206
Gropp, William; Lusk, Ewing; Doss, Nathan; Skjellum, Anthony
121
1996
Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. Zbl 0917.76035
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.; Melvin, Robin G.; Young, David P.
36
1998
High-performance parallel implicit CFD. Zbl 0971.68191
Gropp, W. D.; Kaushik, D. K.; Keyes, D. E.; Smith, B. F.
31
2001
A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation. Zbl 0619.65088
Keyes, David E.; Gropp, William D.
27
1987
Optimization environments and the NEOS server. Zbl 1031.65075
Gropp, William; Moré, Jorge J.
23
1997
Numerical simulation of vortex dynamics in type-II superconductors. Zbl 0844.65098
Gropp, William D.; Kaper, Hans G.; Leaf, Gary K.; Levine, David M.; Palumbo, Mario; Vinokur, Valerii M.
19
1996
A parallel version of the fast multipole method. Zbl 0715.65015
Greengard, L.; Gropp, W. D.
18
1990
Newton-Krylov-Schwarz methods in CFD. Zbl 0876.76059
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
17
1994
Parallel computing and domain decomposition. Zbl 0770.65085
Gropp, William
11
1992
Complexity of parallel implementation of domain decomposition techniques for elliptic partial differential equations. Zbl 0645.65069
Gropp, William D.; Keyes, David E.
10
1988
A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. Zbl 0838.65025
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
9
1994
Domain decomposition with local mesh refinement. Zbl 0756.65045
Gropp, William D.; Keyes, David E.
9
1992
Local uniform mesh refinement with moving grids. Zbl 0627.65104
Gropp, William D.
9
1987
A test of moving mesh refinement for 2-D scalar hyperbolic problems. Zbl 0445.65096
Gropp, William D.
8
1980
Reducing parallel communication in algebraic multigrid through sparsification. Zbl 1352.65102
Bienz, Amanda; Falgout, Robert D.; Gropp, William; Olson, Luke N.; Schroder, Jacob B.
7
2016
Domain decomposition methods in computational fluid dynamics. Zbl 0745.76062
Gropp, William D.; Keyes, David E.
5
1992
A comparison of some domain decomposition algorithms for nonsymmetric ellliptic problems. Zbl 0770.65079
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
5
1992
Experiences with domain decomposition in three dimensions: Overlapping Schwarz methods. Zbl 0812.65109
Gropp, William D.; Smith, Barry F.
5
1994
Local uniform mesh refinement on loosely-coupled parallel processors. Zbl 0661.65125
Gropp, W. D.
4
1988
Parallel implicit methods for aerodynamics. Zbl 0818.76065
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
3
1994
Parallel performance of domain-decomposed preconditioned Krylov methods for PDEs with locally uniform refinement. Zbl 0752.65083
Gropp, William D.; Keyes, David E.
3
1992
Domain decomposition on parallel computers. Zbl 0703.65078
Gropp, William D.; Keyes, David E.
3
1989
Domain-decomposable preconditioners for second-order upwind discretizations of multicomponent systems. Zbl 0766.65103
Keyes, David E.; Gropp, William D.
2
1991
Parallel scalability of the spectral transform method. Zbl 0787.76064
Foster, I.; Gropp, W.; Stevens, R.
2
1992
Volume integral equations in nonlinear 3-D magnetostatics. Zbl 0838.65122
Kettunen, Lauri; Forsman, Kimmo; Levine, David; Gropp, William
1
1995
Parallel domain decomposition and the solution of nonlinear systems of equations. Zbl 0767.65040
Gropp, William D.; Keyes, David E.
1
1991
Domain decomposition as a mechanism for using asymptotic methods. Zbl 0808.65124
Gropp, William D.; Keyes, David E.
1
1993
Local uniform mesh refinement on vector and parallel processors. Zbl 0617.65122
Gropp, William D.
1
1987
A high-performance MPI implementation on a shared-memory vector supercomputer. Zbl 0906.68021
Gropp, William; Lusk, Ewing
1
1997
Learning from the success of MPI. Zbl 1052.68550
Gropp, William D.
1
2001
Optimizing noncontiguous accesses in MPI–IO. Zbl 0984.68081
Thakur, Rajeev; Gropp, William; Lusk, Ewing
1
2002
MPICH2: A new start for MPI implementations. Zbl 1015.68728
Gropp, William
1
2002
MPI on the grid. Zbl 1015.68726
Gropp, William; Lusk, Ewing
1
2002
Recursive mesh refinement on hypercubes. Zbl 0678.68012
Gropp, W. D.; Ipsen, I. C. F.
1
1989
Domain decomposition on parallel computers. Zbl 0681.68030
Gropp, William D.; Keyes, David E.
1
1989
Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems. Zbl 0694.65048
Keyes, David E.; Gropp, William D.
1
1990
Computational fluid dynamics on parallel processors. Zbl 0696.76038
Gropp, William D.; Smith, Edward B.
1
1990
Convergence rate estimate for a domain decomposition method. Zbl 0727.65105
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
1
1991
Reducing parallel communication in algebraic multigrid through sparsification. Zbl 1352.65102
Bienz, Amanda; Falgout, Robert D.; Gropp, William; Olson, Luke N.; Schroder, Jacob B.
7
2016
Optimizing noncontiguous accesses in MPI–IO. Zbl 0984.68081
Thakur, Rajeev; Gropp, William; Lusk, Ewing
1
2002
MPICH2: A new start for MPI implementations. Zbl 1015.68728
Gropp, William
1
2002
MPI on the grid. Zbl 1015.68726
Gropp, William; Lusk, Ewing
1
2002
High-performance parallel implicit CFD. Zbl 0971.68191
Gropp, W. D.; Kaushik, D. K.; Keyes, D. E.; Smith, B. F.
31
2001
Learning from the success of MPI. Zbl 1052.68550
Gropp, William D.
1
2001
Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. Zbl 0917.76035
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.; Melvin, Robin G.; Young, David P.
36
1998
Efficient management of parallelism in object-oriented numerical software libraries. Zbl 0882.65154
Balay, Satish; Gropp, William D.; McInnes, Lois Curfman; Smith, Barry F.
239
1997
Optimization environments and the NEOS server. Zbl 1031.65075
Gropp, William; Moré, Jorge J.
23
1997
A high-performance MPI implementation on a shared-memory vector supercomputer. Zbl 0906.68021
Gropp, William; Lusk, Ewing
1
1997
Domain decomposition. Parallel multilevel methods for elliptic partial differential equations. Zbl 0857.65126
Smith, Barry F.; Bjørstad, Petter E.; Gropp, William D.
424
1996
A high-performance, portable implementation of the MPI message passing interface standard. Zbl 0875.68206
Gropp, William; Lusk, Ewing; Doss, Nathan; Skjellum, Anthony
121
1996
Numerical simulation of vortex dynamics in type-II superconductors. Zbl 0844.65098
Gropp, William D.; Kaper, Hans G.; Leaf, Gary K.; Levine, David M.; Palumbo, Mario; Vinokur, Valerii M.
19
1996
Volume integral equations in nonlinear 3-D magnetostatics. Zbl 0838.65122
Kettunen, Lauri; Forsman, Kimmo; Levine, David; Gropp, William
1
1995
Newton-Krylov-Schwarz methods in CFD. Zbl 0876.76059
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
17
1994
A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. Zbl 0838.65025
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
9
1994
Experiences with domain decomposition in three dimensions: Overlapping Schwarz methods. Zbl 0812.65109
Gropp, William D.; Smith, Barry F.
5
1994
Parallel implicit methods for aerodynamics. Zbl 0818.76065
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
3
1994
Domain decomposition as a mechanism for using asymptotic methods. Zbl 0808.65124
Gropp, William D.; Keyes, David E.
1
1993
Parallel computing and domain decomposition. Zbl 0770.65085
Gropp, William
11
1992
Domain decomposition with local mesh refinement. Zbl 0756.65045
Gropp, William D.; Keyes, David E.
9
1992
Domain decomposition methods in computational fluid dynamics. Zbl 0745.76062
Gropp, William D.; Keyes, David E.
5
1992
A comparison of some domain decomposition algorithms for nonsymmetric ellliptic problems. Zbl 0770.65079
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
5
1992
Parallel performance of domain-decomposed preconditioned Krylov methods for PDEs with locally uniform refinement. Zbl 0752.65083
Gropp, William D.; Keyes, David E.
3
1992
Parallel scalability of the spectral transform method. Zbl 0787.76064
Foster, I.; Gropp, W.; Stevens, R.
2
1992
Domain-decomposable preconditioners for second-order upwind discretizations of multicomponent systems. Zbl 0766.65103
Keyes, David E.; Gropp, William D.
2
1991
Parallel domain decomposition and the solution of nonlinear systems of equations. Zbl 0767.65040
Gropp, William D.; Keyes, David E.
1
1991
Convergence rate estimate for a domain decomposition method. Zbl 0727.65105
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
1
1991
A parallel version of the fast multipole method. Zbl 0715.65015
Greengard, L.; Gropp, W. D.
18
1990
Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems. Zbl 0694.65048
Keyes, David E.; Gropp, William D.
1
1990
Computational fluid dynamics on parallel processors. Zbl 0696.76038
Gropp, William D.; Smith, Edward B.
1
1990
Domain decomposition on parallel computers. Zbl 0703.65078
Gropp, William D.; Keyes, David E.
3
1989
Recursive mesh refinement on hypercubes. Zbl 0678.68012
Gropp, W. D.; Ipsen, I. C. F.
1
1989
Domain decomposition on parallel computers. Zbl 0681.68030
Gropp, William D.; Keyes, David E.
1
1989
Complexity of parallel implementation of domain decomposition techniques for elliptic partial differential equations. Zbl 0645.65069
Gropp, William D.; Keyes, David E.
10
1988
Local uniform mesh refinement on loosely-coupled parallel processors. Zbl 0661.65125
Gropp, W. D.
4
1988
A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation. Zbl 0619.65088
Keyes, David E.; Gropp, William D.
27
1987
Local uniform mesh refinement with moving grids. Zbl 0627.65104
Gropp, William D.
9
1987
Local uniform mesh refinement on vector and parallel processors. Zbl 0617.65122
Gropp, William D.
1
1987
A test of moving mesh refinement for 2-D scalar hyperbolic problems. Zbl 0445.65096
Gropp, William D.
8
1980
all top 5

Cited by 1,914 Authors

36 Cai, Xiao-Chuan
25 Pavarino, Luca Franco
14 Klawonn, Axel
13 Keyes, David Elliot
13 Magoulès, Frédéric
13 Yang, Chao
12 Rheinbach, Oliver
12 Shadid, John N.
12 Yang, Haijian
11 Hwang, Fengnan
10 Griffith, Boyce E.
10 Scacchi, Simone
10 Szyld, Daniel B.
9 Gander, Martin Jakob
9 Marcinkowski, Leszek
8 Karniadakis, George Em
8 Lin, Paul T.
7 Bhalla, Amneet Pal Singh
7 Chen, Rongliang
7 Gropp, William D.
7 Rahman, Talal
7 Saad, Yousef
7 Sala, Marzio
7 Widlund, Olof B.
6 Brenner, Susanne Cecelia
6 Dolean, Victorita
6 Giraud, Luc
6 Kostochka, Aleksandr Vasil’evich
6 Patankar, Neelesh A.
6 Wohlmuth, Barbara I.
6 Xu, Jinchao
5 Badea, Lori
5 Cho, Durkbin
5 Denner, Fabian
5 di Serafino, Daniela
5 Dohrmann, Clark R.
5 Huang, Jizu
5 Kierstead, Henry A.
5 Knepley, Matthew G.
5 Lanser, Martin
5 Nakajima, Kengo
5 Tai, Xuecheng
5 Toselli, Andrea
5 Tuminaro, Ray S.
5 Waisman, Haim
5 Yang, Danping
4 Chang, Huibin
4 Cotter, Colin John
4 D’Ambra, Pasqua
4 Filippone, Salvatore
4 Gao, Huadong
4 Gravvanis, George A.
4 Haase, Gundolf
4 Hajibeygi, Hadi
4 Hennigan, Gary L.
4 Hoover, Alexander P.
4 Hu, Qiya
4 Kamensky, David
4 Knoll, Dana A.
4 Lanteri, Stéphane
4 Li, Buyang
4 Luo, Li
4 Mai-Duy, Nam
4 Pain, Christopher C.
4 Pardo, David
4 Pawlowski, Roger P.
4 Prud’homme, Christophe
4 Subber, Waad
4 Sun, Shuyu
4 Sun, Weiwei
4 Tran-Cong, Thanh
4 van Wachem, Berend G. M.
4 Vassilevski, Panayot Spirov
4 Waters, Sarah Louise
4 Xu, Xuejun
4 Zampieri, Elena
4 Zou, Jun
3 Antonietti, Paola Francesca
3 Bazilevs, Yuri
3 Beirão da Veiga, Lourenço
3 Berenguer, Laurent
3 Berger-Vergiat, Luc
3 Calo, Victor Manuel
3 Chan, Tony Fan-Cheong
3 Dalcín, Lisandro D.
3 Demkowicz, Leszek F.
3 Du, Qiang
3 Elman, Howard C.
3 Filelis-Papadopoulos, Christos K.
3 Fischer, Paul F.
3 Flaherty, Joseph E.
3 Ganapathysubramanian, Baskar
3 Garikipati, Krishna
3 Geuzaine, Christophe A.
3 Griebel, Michael
3 Halpern, Laurence
3 Heinkenschloss, Matthias
3 Ju, Lili
3 Kansa, Edward J.
3 Kimn, Jung-Han
...and 1,814 more Authors
all top 5

Cited in 170 Serials

125 Journal of Computational Physics
94 Computer Methods in Applied Mechanics and Engineering
54 SIAM Journal on Scientific Computing
51 Computers and Fluids
40 Journal of Computational and Applied Mathematics
29 Journal of Scientific Computing
27 Applied Numerical Mathematics
24 International Journal for Numerical Methods in Engineering
23 Computers & Mathematics with Applications
23 Numerical Linear Algebra with Applications
21 Numerische Mathematik
20 International Journal for Numerical Methods in Fluids
19 Mathematics of Computation
17 Applied Mathematics and Computation
16 Computer Physics Communications
15 Numerical Methods for Partial Differential Equations
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Journal of Fluid Mechanics
10 Numerical Algorithms
9 Applied Mathematical Modelling
8 Linear Algebra and its Applications
8 Computing and Visualization in Science
8 Archives of Computational Methods in Engineering
8 Concurrency and Computation: Practice & Experience
7 BIT
7 Computational Mechanics
7 Communications in Numerical Methods in Engineering
7 Computational Geosciences
6 Mathematics and Computers in Simulation
6 Journal of Parallel and Distributed Computing
6 International Journal of Computer Mathematics
6 Engineering Analysis with Boundary Elements
5 Computational Optimization and Applications
5 Advances in Computational Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
4 Computing
4 Parallel Computing
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Journal of Computational Acoustics
3 Discrete Applied Mathematics
3 International Journal of Heat and Mass Transfer
3 ACM Transactions on Mathematical Software
3 Calcolo
3 Theoretical Computer Science
3 Combinatorica
3 International Journal of Parallel Programming
3 Computers & Operations Research
3 SIAM Journal on Matrix Analysis and Applications
3 Journal of Global Optimization
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 European Journal of Operational Research
3 Advances in Engineering Software
3 Computational Economics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Mathematical Problems in Engineering
3 International Journal of Computational Methods
3 Journal of Theoretical Biology
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Programming and Computer Software
2 SIAM Journal on Numerical Analysis
2 Software. Practice & Experience
2 Algorithmica
2 Mathematical and Computer Modelling
2 Applications of Mathematics
2 Computational Statistics
2 Journal of Non-Newtonian Fluid Mechanics
2 SIAM Review
2 Computational Statistics and Data Analysis
2 Mathematical Programming. Series A. Series B
2 Formal Methods in System Design
2 International Journal of Computational Fluid Dynamics
2 Fractional Calculus & Applied Analysis
2 Journal of High Energy Physics
2 Computational Methods in Applied Mathematics
2 Acta Numerica
2 Mathematics in Computer Science
2 Ars Mathematica Contemporanea
2 Advances in Mathematical Physics
2 Mathematical Programming Computation
2 GEM - International Journal on Geomathematics
2 ISRN Applied Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Artificial Intelligence
1 Discrete Mathematics
1 International Journal of Control
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Theoretical and Computational Fluid Dynamics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Journal of Computer and System Sciences
1 Mathematics of Operations Research
1 Mathematical Systems Theory
1 SIAM Journal on Control and Optimization
1
1 Science of Computer Programming
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
...and 70 more Serials
all top 5

Cited in 38 Fields

684 Numerical analysis (65-XX)
302 Fluid mechanics (76-XX)
242 Partial differential equations (35-XX)
123 Mechanics of deformable solids (74-XX)
84 Computer science (68-XX)
51 Operations research, mathematical programming (90-XX)
40 Statistical mechanics, structure of matter (82-XX)
40 Biology and other natural sciences (92-XX)
38 Optics, electromagnetic theory (78-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
29 Geophysics (86-XX)
23 Classical thermodynamics, heat transfer (80-XX)
17 Combinatorics (05-XX)
16 Probability theory and stochastic processes (60-XX)
14 Ordinary differential equations (34-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Quantum theory (81-XX)
10 Statistics (62-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of particles and systems (70-XX)
5 Systems theory; control (93-XX)
4 Number theory (11-XX)
4 Approximations and expansions (41-XX)
4 Integral equations (45-XX)
3 Potential theory (31-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Operator theory (47-XX)
3 Relativity and gravitational theory (83-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.