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Acta Numerica

Short Title: Acta Numerica
Publisher: Cambridge University Press, Cambridge
ISSN: 0962-4929; 1474-0508/e
Online: https://www.cambridge.org/core/journals/acta-numerica/all-issues
Predecessor: Acta Numerica
Comments: Journal; Indexed cover-to-cover; Formerly book series under the same title
Documents Indexed: 141 Publications (since 2001)
References Indexed: 73 Publications with 13,567 References.
all top 5

Authors

3 Engquist, Bjorn E.
3 Tadmor, Eitan
2 Beirão da Veiga, Lourenço
2 Chu, Moody T.
2 Demmel, James Weldon
2 DeVore, Ronald A.
2 Dongarra, Jack J.
2 Dziuk, Gerhard
2 Elliott, Charles M.
2 Giles, Michael B.
2 Golub, Gene Howard
2 Gunzburger, Max D.
2 Higham, Nicholas J.
2 Lubich, Christian
2 Martinsson, Per-Gunnar
2 Mishra, Siddhartha
2 Nemirovski, Arkadi S.
2 Todd, Michael J.
2 Wanner, Gerhard
1 Abdelfattah, Ahmad
1 Abdulle, Assyr
1 Al-Mohy, Awad H.
1 Altmann, Robert
1 Anzt, Hartwig
1 Arnold, Douglas Norman
1 Arridge, Simon R.
1 Babuška, Ivo
1 Bachmayr, Markus
1 Ballard, Grey M.
1 Banerjee, Uday
1 Bartlett, Peter L.
1 Basri, Ronen
1 Becker, Roland
1 Belkin, Mikhail
1 Bellen, Alfredo
1 Belotti, Pietro
1 Benamou, Jean-David
1 Benning, Martin
1 Benzi, Michele
1 Berger, Marsha J.
1 Björck, Åke
1 Boffi, Daniele
1 Boldo, Sylvie
1 Bond, Stephen D.
1 Bou-Rabee, Nawaf M.
1 Brezzi, Franco
1 Brunner, Hermann
1 Buades, Antoni
1 Budd, Christopher John
1 Buffa, Annalisa
1 Bungartz, Hans-Joachim
1 Burger, Martin
1 Butcher, John C.
1 Candès, Emmanuel J.
1 Carlsson, Gunnar E.
1 Carson, Erin Claire
1 Chambolle, Antonin
1 Chandler-Wilde, Simon N.
1 Chapelle, Dominique
1 Christiansen, Snorre Harald
1 Ciarlet, Philippe Gaston
1 Cockburn, Bernardo
1 Cohen, Albert
1 Colom, Miguel
1 Cotter, Colin John
1 Crampin, Edmund John
1 Cucker, Felipe
1 Cullen, Mike
1 Davis, Timothy Alden
1 Deckelnick, Klaus
1 D’Elia, Marta
1 Deuflhard, Peter
1 Dick, Josef
1 Dimarco, Giacomo
1 Du, Qiang
1 Dumitriu, Ioana
1 Dyn, Nira
1 E, Weinan
1 Edelman, Alan Stuart
1 Eiermann, Michael
1 Eldén, Lars
1 Ernst, Oliver G.
1 Falk, Richard S.
1 Fannjiang, Albert C.
1 Ferdous, S. M.
1 Fjordholm, Ulrik Skre
1 Fletcher, Roger
1 Floater, Michael S.
1 Flyer, Natasha
1 Fornberg, Bengt
1 Freund, Roland W.
1 Gander, Martin Jakob
1 Gates, Mark
1 George, David L.
1 Geshkovski, Borjan
1 Ghattas, Omar N.
1 Gittelson, Claude Jeffrey
1 Gould, Nick I. M.
1 Graham, Ivan G.
1 Greengard, Leslie F.
...and 176 more Authors
all top 5

Fields

120 Numerical analysis (65-XX)
37 Partial differential equations (35-XX)
20 Fluid mechanics (76-XX)
14 Computer science (68-XX)
10 Probability theory and stochastic processes (60-XX)
9 Operations research, mathematical programming (90-XX)
9 Information and communication theory, circuits (94-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Statistics (62-XX)
7 Mechanics of deformable solids (74-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Ordinary differential equations (34-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Geophysics (86-XX)
4 Mechanics of particles and systems (70-XX)
3 Approximations and expansions (41-XX)
3 Operator theory (47-XX)
3 Biology and other natural sciences (92-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

138 Publications have been cited 12,851 times in 11,345 Documents Cited by Year
The immersed boundary method. Zbl 1123.74309
Peskin, Charles S.
2002
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
998
2005
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
560
2010
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
469
2010
Discrete mechanics and variational integrators. Zbl 1123.37327
Marsden, Jerrold E.; West, M.
451
2001
An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349
Becker, Roland; Rannacher, Rolf
430
2001
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
420
2006
Sparse grids. Zbl 1118.65388
Bungartz, Hans-Joachim; Griebel, Michael
412
2004
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
389
2002
Splitting methods. Zbl 1105.65341
McLachlan, Robert I.; Quispel, G. Reinout W.
291
2002
Finite element methods for surface PDEs. Zbl 1296.65156
Dziuk, Gerhard; Elliott, Charles M.
268
2013
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
Tadmor, Eitan
238
2003
Finite element approximation of eigenvalue problems. Zbl 1242.65110
Boffi, Daniele
235
2010
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
235
2015
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
229
2013
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality. Zbl 1105.65350
Giles, Michael B.; Süli, Endre
193
2002
Semidefinite optimization. Zbl 1105.65334
Todd, M. J.
188
2001
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
186
2005
Subdivision schemes in geometric modelling. Zbl 1105.65310
Dyn, Nira; Levin, David
185
2002
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
176
2012
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
170
2003
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
164
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
144
2014
Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046
Rump, Siegfried M.
143
2010
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
141
2016
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
133
2003
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
124
2012
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
124
2011
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
118
2015
Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
115
2013
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
113
2009
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
109
2019
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
108
2015
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
106
2014
Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108
Schaback, Robert; Wendland, Holger
103
2006
Steady-state convection-diffusion problems. Zbl 1115.65108
Stynes, Martin
101
2005
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
97
2004
Random matrix theory. Zbl 1162.15014
Edelman, Alan; Rao, N. Raj
95
2005
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
93
2003
Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176
Wohlmuth, Barbara
92
2011
Preconditioning. Zbl 1316.65039
Wathen, A. J.
91
2015
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
90
2002
Model reduction methods based on Krylov subspaces. Zbl 1046.65021
Freund, Roland W.
86
2003
Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
77
2008
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
74
2011
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
74
2016
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
71
2017
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
71
2019
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
70
2017
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
69
2018
Topics in structure-preserving discretization. Zbl 1233.65087
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf
65
2011
Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir
65
2009
Generalized barycentric coordinates and applications. Zbl 1317.65065
Floater, Michael S.
65
2015
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
65
2020
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032
Meurant, Gérard; Strakoš, Zdenek
63
2006
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
63
2019
General linear methods. Zbl 1113.65072
Butcher, J. C.
61
2006
Atomistic-to-continuum coupling. Zbl 1464.74007
Luskin, Mitchell; Ortner, Christoph
51
2013
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
49
2016
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
48
2017
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Zbl 07674567
Shu, Chi-Wang
47
2020
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
Tadmor, Eitan
46
2007
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
43
2008
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
43
2014
Linear algebra algorithms as dynamical systems. Zbl 1165.65021
Chu, Moody T.
41
2008
Geometric aspects of the theory of Krylov subspace methods. Zbl 1105.65328
Eiermann, Michael; Ernst, Oliver G.
40
2001
Computing matrix functions. Zbl 1242.65090
Higham, Nicholas J.; Al-Mohy, Awad H.
39
2010
Numerical methods for large-scale nonlinear optimization. Zbl 1119.65337
Gould, Nick; Orban, Dominique; Toint, Philippe
38
2005
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
37
2018
Randomized numerical linear algebra: foundations and algorithms. Zbl 07674565
Martinsson, Per-Gunnar; Tropp, Joel A.
35
2020
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
34
2017
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
31
2002
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
30
2018
Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
28
2005
Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier-Stokes equations. Zbl 1422.76041
Hou, Thomas Y.
28
2009
Neural network approximation. Zbl 1518.65022
DeVore, Ronald; Hanin, Boris; Petrova, Guergana
28
2021
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
27
2008
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
27
2016
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
26
2011
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
26
2008
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
26
2014
Secrets of image denoising cuisine. Zbl 1260.94016
Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M.
25
2012
Numerical homogenization beyond scale separation. Zbl 07674568
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
25
2021
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
25
2018
Multiscale computational modelling of the heart. Zbl 1112.92021
Smith, N. P.; Nickerson, D. P.; Crampin, E. J.; Hunter, P. J.
24
2004
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
24
2011
Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
24
2009
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
24
2018
Modern statistical estimation via oracle inequalities. Zbl 1141.62001
Candès, Emmanuel J.
21
2006
Semi-analytic geometry with R-functions. Zbl 1123.65012
Shapiro, Vadim
21
2007
Computing quantum dynamics in the semiclassical regime. Zbl 07674564
Lasser, Caroline; Lubich, Christian
20
2020
Learning physics-based models from data: perspectives from inverse problems and model reduction. Zbl 1520.65043
Ghattas, Omar; Willcox, Karen
20
2021
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
20
2019
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
19
2014
A mathematical view of automatic differentiation. Zbl 1047.65012
Griewank, Andreas
18
2003
Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082
Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O.
17
2014
The numerics of phase retrieval. Zbl 07674563
Fannjiang, Albert; Strohmer, Thomas
17
2020
Topological techniques for efficient rigorous computation in dynamics. Zbl 1123.37328
Mischaikow, Konstantin
16
2002
Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
15
2007
On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
Nesterov, Yurii; Nemirovski, Arkadi
15
2013
Control of port-Hamiltonian differential-algebraic systems and applications. Zbl 07736658
Mehrmann, Volker; Unger, Benjamin
4
2023
The virtual element method. Zbl 07736655
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro
1
2023
Compatible finite element methods for geophysical fluid dynamics. Zbl 07736657
Cotter, Colin J.
1
2023
Overcoming the timescale barrier in molecular dynamics: transfer operators, variational principles and machine learning. Zbl 07736659
Schütte, Christof; Klus, Stefan; Hartmann, Carsten
1
2023
Reduced basis methods for time-dependent problems. Zbl 07674582
Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi
12
2022
Asymptotic-preserving schemes for multiscale physical problems. Zbl 1519.65046
Jin, Shi
12
2022
Schwarz methods by domain truncation. Zbl 1518.65140
Gander, Martin J.; Zhang, Hui
8
2022
Mixed precision algorithms in numerical linear algebra. Zbl 1512.65081
Higham, Nicholas J.; Mary, Theo
7
2022
Turnpike in optimal control of PDEs, ResNets, and beyond. Zbl 07674581
Geshkovski, Borjan; Zuazua, Enrique
4
2022
Neural network approximation. Zbl 1518.65022
DeVore, Ronald; Hanin, Boris; Petrova, Guergana
28
2021
Numerical homogenization beyond scale separation. Zbl 07674568
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
25
2021
Learning physics-based models from data: perspectives from inverse problems and model reduction. Zbl 1520.65043
Ghattas, Omar; Willcox, Karen
20
2021
Modelling and computation of liquid crystals. Zbl 07674577
Wang, Wei; Zhang, Lei; Zhang, Pingwen
15
2021
Deep learning: a statistical viewpoint. Zbl 1514.65078
Bartlett, Peter L.; Montanari, Andrea; Rakhlin, Alexander
10
2021
Tensors in computations. Zbl 1512.65079
Lim, Lek-Heng
7
2021
Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation. Zbl 1514.65011
Belkin, Mikhail
4
2021
Optimal transportation, modelling and numerical simulation. Zbl 1519.65013
Benamou, Jean-David
3
2021
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
65
2020
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Zbl 07674567
Shu, Chi-Wang
47
2020
Randomized numerical linear algebra: foundations and algorithms. Zbl 07674565
Martinsson, Per-Gunnar; Tropp, Joel A.
35
2020
Computing quantum dynamics in the semiclassical regime. Zbl 07674564
Lasser, Caroline; Lubich, Christian
20
2020
The numerics of phase retrieval. Zbl 07674563
Fannjiang, Albert; Strohmer, Thomas
17
2020
Fast algorithms using orthogonal polynomials. Zbl 07674566
Olver, Sheehan; Slevinsky, Richard Mikaël; Townsend, Alex
11
2020
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
109
2019
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
71
2019
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
63
2019
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
20
2019
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
15
2019
Approximation algorithms in combinatorial scientific computing. Zbl 1440.68337
Pothen, Alex; Ferdous, S. M.; Manne, Fredrik
2
2019
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
69
2018
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
37
2018
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
30
2018
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
25
2018
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
24
2018
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
71
2017
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
70
2017
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
48
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
34
2017
Randomized algorithms in numerical linear algebra. Zbl 1378.65084
Kannan, Ravindran; Vempala, Santosh
13
2017
A survey of structure from motion. Zbl 1377.65027
Özyeşil, Onur; Voroninski, Vladislav; Basri, Ronen; Singer, Amit
10
2017
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
141
2016
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
74
2016
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
49
2016
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
27
2016
Linear algebra software for large-scale accelerated multicore computing. Zbl 1353.65019
Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A.
7
2016
Probabilistic analyses of condition numbers. Zbl 1350.65039
Cucker, Felipe
3
2016
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
235
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
118
2015
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
108
2015
Preconditioning. Zbl 1316.65039
Wathen, A. J.
91
2015
Generalized barycentric coordinates and applications. Zbl 1317.65065
Floater, Michael S.
65
2015
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
164
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
144
2014
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
106
2014
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
43
2014
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
26
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
19
2014
Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082
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Finite element methods for surface PDEs. Zbl 1296.65156
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High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
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Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
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On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
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The heterogeneous multiscale method. Zbl 1255.65224
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Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
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Secrets of image denoising cuisine. Zbl 1260.94016
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Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
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Pricing futures by deterministic methods. Zbl 1272.91122
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Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
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Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
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Topics in structure-preserving discretization. Zbl 1233.65087
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Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
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Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
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Inverse problems: a Bayesian perspective. Zbl 1242.65142
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Finite element approximation of eigenvalue problems. Zbl 1242.65110
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Kepler, Newton and numerical analysis. Zbl 1247.70001
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Binary separation and training support vector machines. Zbl 1238.68123
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Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
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Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier-Stokes equations. Zbl 1422.76041
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Greedy approximation. Zbl 1178.65050
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Molecular dynamics and the accuracy of numerically computed averages. Zbl 1131.82019
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Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
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Cited by 14,073 Authors

61 Schwab, Christoph
50 Zhang, Guofeng
42 Stuart, Andrew M.
41 Quarteroni, Alfio M.
37 Jin, Shi
36 Pareschi, Lorenzo
34 Liang, Zhaozheng
34 Ma, Changfeng
34 Martín de Diego, David
33 Hiptmair, Ralf
33 Tempone, Raúl F.
32 Nürnberg, Robert
31 Griebel, Michael
30 Boffi, Daniele
30 Garcke, Harald
30 Leok, Melvin
30 Wohlmuth, Barbara I.
29 Abdulle, Assyr
29 Blanes, Sergio
29 Harbrecht, Helmut
29 Nobile, Fabio
28 Buffa, Annalisa
28 Elliott, Charles M.
28 Han, Weimin
28 Kurganov, Alexander
28 Zhang, Jin
27 Bao, Weizhu
27 Cao, Yang
27 Gatica, Gabriel N.
27 Ostermann, Alexander
26 Dede’, Luca
26 Li, Jichun
26 Liu, Xiaowei
26 Xu, Jinchao
25 Casas, Fernando
25 Ghattas, Omar N.
25 Griffith, Boyce E.
25 Gunzburger, Max D.
25 Spence, Euan A.
24 Benner, Peter
24 Conti, Costanza
24 Gassner, Gregor J.
24 Jasra, Ajay
24 Wu, Xinyuan
23 Kuo, Frances Y.
23 Ortner, Christoph
23 Sangalli, Giancarlo
23 Stoll, Martin
23 Zhang, Zhimin
22 Chen, Peng
22 Dick, Josef
22 Olshanskii, Maxim A.
22 Peskin, Charles S.
22 Romani, Lucia
21 Dimarco, Giacomo
21 Feng, Xinlong
21 Giles, Michael B.
21 Mishra, Siddhartha
21 Narayan, Akil C.
21 Sloan, Ian Hugh
21 Wick, Thomas
21 Yang, Yidu
20 Langer, Ulrich
20 Li, Buyang
20 Marzouk, Youssef M.
20 Scheichl, Robert
20 Schneider, Reinhold
20 Schönlieb, Carola-Bibiane
20 Stoltz, Gabriel
20 Sun, Jiguang
20 Tavener, Simon J.
20 Winters, Andrew R.
19 Benzi, Michele
19 Bi, Hai
19 Chung, Tsz Shun Eric
19 Dinh Dũng
19 Estep, Donald J.
19 Gastaldi, Lucia
19 Hu, Xiaozhe
19 Legoll, Frédéric
19 Lubich, Christian
19 Lukáčová-Medviďová, Mária
19 Praetorius, Dirk
19 Wang, Bin
18 Babuška, Ivo
18 Barrett, John William
18 Chen, Long
18 Cohen, Albert
18 Crouseilles, Nicolas
18 D’Elia, Marta
18 Goda, Takashi
18 Hu, Kaibo
18 Ju, Lili
18 Jung, Changyeol
18 Kressner, Daniel
18 Kritzer, Peter
18 Law, Kody J. H.
18 Le Bris, Claude
18 Ober-Blöbaum, Sina
18 Wall, Wolfgang A.
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Cited in 612 Journals

1,187 Journal of Computational Physics
640 Computer Methods in Applied Mechanics and Engineering
437 SIAM Journal on Scientific Computing
411 Journal of Scientific Computing
401 Journal of Computational and Applied Mathematics
358 Computers & Mathematics with Applications
260 Numerische Mathematik
236 SIAM Journal on Numerical Analysis
229 Applied Mathematics and Computation
204 Applied Numerical Mathematics
188 Numerical Algorithms
187 Mathematics of Computation
180 Computers and Fluids
173 BIT
146 SIAM/ASA Journal on Uncertainty Quantification
132 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
129 Advances in Computational Mathematics
126 Inverse Problems
120 Linear Algebra and its Applications
114 International Journal for Numerical Methods in Engineering
107 Journal of Fluid Mechanics
106 Multiscale Modeling & Simulation
100 Communications in Computational Physics
87 Numerical Methods for Partial Differential Equations
85 Computational Optimization and Applications
83 Foundations of Computational Mathematics
82 SIAM Journal on Matrix Analysis and Applications
81 Computational Mechanics
68 Applied Mathematics Letters
66 International Journal of Computer Mathematics
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64 Mathematical Programming. Series A. Series B
64 Computational and Applied Mathematics
62 Calcolo
60 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
58 Mathematics and Computers in Simulation
56 Computer Physics Communications
56 Journal of Complexity
55 Journal of Global Optimization
54 Numerical Linear Algebra with Applications
52 International Journal for Numerical Methods in Fluids
50 Constructive Approximation
49 Engineering Analysis with Boundary Elements
47 Statistics and Computing
45 Communications in Nonlinear Science and Numerical Simulation
43 Computer Aided Geometric Design
41 SIAM Journal on Optimization
39 Applied Mathematical Modelling
39 SIAM Review
38 Physica D
38 Computational Methods in Applied Mathematics
36 Journal of Mathematical Imaging and Vision
34 Journal of Optimization Theory and Applications
33 Journal of Mathematical Analysis and Applications
33 Journal of Nonlinear Science
32 Applied and Computational Harmonic Analysis
32 East Asian Journal on Applied Mathematics
31 Journal of Mathematical Physics
31 Advances in Applied Mathematics and Mechanics
30 SIAM Journal on Mathematical Analysis
30 Optimization Methods & Software
30 Computational Geosciences
29 Automatica
29 Acta Numerica
28 ETNA. Electronic Transactions on Numerical Analysis
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28 Inverse Problems and Imaging
27 Journal of Approximation Theory
26 Discrete and Continuous Dynamical Systems. Series B
25 Japan Journal of Industrial and Applied Mathematics
25 Discrete and Continuous Dynamical Systems
25 Archives of Computational Methods in Engineering
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24 SMAI Journal of Computational Mathematics
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22 The Annals of Applied Probability
22 Oberwolfach Reports
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21 Bulletin of Mathematical Biology
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20 Journal of Statistical Physics
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20 Computational Mathematics and Mathematical Physics
20 European Journal of Operational Research
20 SIAM Journal on Applied Mathematics
20 Computing and Visualization in Science
20 GAMM-Mitteilungen
20 Communications on Applied Mathematics and Computation
19 Mathematical Problems in Engineering
19 SIAM Journal on Applied Dynamical Systems
19 Numerical Mathematics: Theory, Methods and Applications
18 Nonlinearity
18 Journal of Physics A: Mathematical and Theoretical
18 Journal of Geometric Mechanics
17 Archive for Rational Mechanics and Analysis
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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Cited in 62 Fields

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773 Operations research, mathematical programming (90-XX)
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496 Biology and other natural sciences (92-XX)
463 Approximations and expansions (41-XX)
441 Dynamical systems and ergodic theory (37-XX)
431 Optics, electromagnetic theory (78-XX)
365 Statistical mechanics, structure of matter (82-XX)
314 Ordinary differential equations (34-XX)
308 Mechanics of particles and systems (70-XX)
264 Systems theory; control (93-XX)
210 Quantum theory (81-XX)
205 Information and communication theory, circuits (94-XX)
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175 Global analysis, analysis on manifolds (58-XX)
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164 Geophysics (86-XX)
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124 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
123 Integral equations (45-XX)
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29 Relativity and gravitational theory (83-XX)
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19 Integral transforms, operational calculus (44-XX)
15 History and biography (01-XX)
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10 Astronomy and astrophysics (85-XX)
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3 Field theory and polynomials (12-XX)
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