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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 177 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

137 Publications have been cited 12,203 times in 10,791 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
981
2005
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
529
2010
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
441
2010
Discrete mechanics and variational integrators. Zbl 1123.37327
Marsden, Jerrold E.; West, M.
434
2001
An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349
Becker, Roland; Rannacher, Rolf
424
2001
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
400
2006
Sparse grids. Zbl 1118.65388
Bungartz, Hans-Joachim; Griebel, Michael
393
2004
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
379
2002
Splitting methods. Zbl 1105.65341
McLachlan, Robert I.; Quispel, G. Reinout W.
280
2002
Finite element methods for surface PDEs. Zbl 1296.65156
Dziuk, Gerhard; Elliott, Charles M.
254
2013
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
Tadmor, Eitan
231
2003
Finite element approximation of eigenvalue problems. Zbl 1242.65110
Boffi, Daniele
224
2010
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
224
2015
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
217
2013
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality. Zbl 1105.65350
Giles, Michael B.; Süli, Endre
190
2002
Semidefinite optimization. Zbl 1105.65334
Todd, M. J.
183
2001
Subdivision schemes in geometric modelling. Zbl 1105.65310
Dyn, Nira; Levin, David
182
2002
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
177
2005
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
167
2003
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
166
2012
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
159
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
142
2014
Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046
Rump, Siegfried M.
141
2010
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
131
2016
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
125
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.
122
2012
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
122
2011
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
114
2015
Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
107
2013
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
107
2009
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
102
2015
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
102
2014
Steady-state convection-diffusion problems. Zbl 1115.65108
Stynes, Martin
100
2005
Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108
Schaback, Robert; Wendland, Holger
98
2006
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
95
2019
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
95
2004
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
92
2003
Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176
Wohlmuth, Barbara
89
2011
Random matrix theory. Zbl 1162.15014
Edelman, Alan; Rao, N. Raj
88
2005
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
87
2002
Preconditioning. Zbl 1316.65039
Wathen, A. J.
85
2015
Model reduction methods based on Krylov subspaces. Zbl 1046.65021
Freund, Roland W.
85
2003
Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
74
2008
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
72
2011
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
67
2016
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
67
2017
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
65
2019
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.
64
2015
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
63
2018
Topics in structure-preserving discretization. Zbl 1233.65087
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf
61
2011
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032
Meurant, Gérard; Strakoš, Zdenek
60
2006
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
60
2017
General linear methods. Zbl 1113.65072
Butcher, J. C.
59
2006
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
58
2019
Atomistic-to-continuum coupling. Zbl 1464.74007
Luskin, Mitchell; Ortner, Christoph
49
2013
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
46
2016
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
Tadmor, Eitan
45
2007
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
43
2017
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
42
2014
Geometric aspects of the theory of Krylov subspace methods. Zbl 1105.65328
Eiermann, Michael; Ernst, Oliver G.
40
2001
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
40
2008
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
36
2005
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
34
2018
Linear algebra algorithms as dynamical systems. Zbl 1165.65021
Chu, Moody T.
34
2008
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
32
2017
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
30
2002
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
27
2008
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.
27
2009
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Zbl 07674567
Shu, Chi-Wang
27
2020
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
26
2018
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
26
2016
Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
26
2005
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
26
2008
Secrets of image denoising cuisine. Zbl 1260.94016
Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M.
25
2012
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
25
2011
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
25
2014
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
24
2018
Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
24
2009
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
24
2020
Multiscale computational modelling of the heart. Zbl 1112.92021
Smith, N. P.; Nickerson, D. P.; Crampin, E. J.; Hunter, P. J.
23
2004
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
23
2011
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
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
19
2018
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
19
2019
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
19
2014
Randomized numerical linear algebra: foundations and algorithms. Zbl 07674565
Martinsson, Per-Gunnar; Tropp, Joel A.
18
2020
A mathematical view of automatic differentiation. Zbl 1047.65012
Griewank, Andreas
16
2003
Topological techniques for efficient rigorous computation in dynamics. Zbl 1123.37328
Mischaikow, Konstantin
15
2002
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.
15
2014
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
14
2019
On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
Nesterov, Yurii; Nemirovski, Arkadi
14
2013
Neural network approximation. Zbl 1518.65022
DeVore, Ronald; Hanin, Boris; Petrova, Guergana
14
2021
Total variation and level set methods in image science. Zbl 1119.65376
Tsai, Yen-Hsi Richard; Osher, Stanley
13
2005
Modelling atmospheric flows. Zbl 1120.76069
Cullen, Mike
13
2007
Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
12
2007
Continuous dependence and error estimation for viscosity methods. Zbl 1048.65090
Cockburn, Bernardo
12
2003
Control of port-Hamiltonian differential-algebraic systems and applications. Zbl 07736658
Mehrmann, Volker; Unger, Benjamin
2
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
11
2022
Asymptotic-preserving schemes for multiscale physical problems. Zbl 1519.65046
Jin, Shi
10
2022
Schwarz methods by domain truncation. Zbl 1518.65140
Gander, Martin J.; Zhang, Hui
6
2022
Mixed precision algorithms in numerical linear algebra. Zbl 1512.65081
Higham, Nicholas J.; Mary, Theo
6
2022
Turnpike in optimal control of PDEs, ResNets, and beyond. Zbl 07674581
Geshkovski, Borjan; Zuazua, Enrique
1
2022
Neural network approximation. Zbl 1518.65022
DeVore, Ronald; Hanin, Boris; Petrova, Guergana
14
2021
Learning physics-based models from data: perspectives from inverse problems and model reduction. Zbl 1520.65043
Ghattas, Omar; Willcox, Karen
11
2021
Numerical homogenization beyond scale separation. Zbl 07674568
Altmann, Robert; Henning, Patrick; Peterseim, Daniel
9
2021
Modelling and computation of liquid crystals. Zbl 07674577
Wang, Wei; Zhang, Lei; Zhang, Pingwen
9
2021
Deep learning: a statistical viewpoint. Zbl 1514.65078
Bartlett, Peter L.; Montanari, Andrea; Rakhlin, Alexander
7
2021
Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation. Zbl 1514.65011
Belkin, Mikhail
4
2021
Tensors in computations. Zbl 1512.65079
Lim, Lek-Heng
4
2021
Optimal transportation, modelling and numerical simulation. Zbl 1519.65013
Benamou, Jean-David
3
2021
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Zbl 07674567
Shu, Chi-Wang
27
2020
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
24
2020
Randomized numerical linear algebra: foundations and algorithms. Zbl 07674565
Martinsson, Per-Gunnar; Tropp, Joel A.
18
2020
Computing quantum dynamics in the semiclassical regime. Zbl 07674564
Lasser, Caroline; Lubich, Christian
11
2020
The numerics of phase retrieval. Zbl 07674563
Fannjiang, Albert; Strohmer, Thomas
10
2020
Fast algorithms using orthogonal polynomials. Zbl 07674566
Olver, Sheehan; Slevinsky, Richard Mikaël; Townsend, Alex
8
2020
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
95
2019
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
65
2019
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
58
2019
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
19
2019
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
14
2019
Approximation algorithms in combinatorial scientific computing. Zbl 1440.68337
Pothen, Alex; Ferdous, S. M.; Manne, Fredrik
1
2019
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
63
2018
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
34
2018
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
26
2018
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
24
2018
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
19
2018
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
67
2017
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
60
2017
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
43
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
32
2017
Randomized algorithms in numerical linear algebra. Zbl 1378.65084
Kannan, Ravindran; Vempala, Santosh
11
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
131
2016
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
67
2016
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
46
2016
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
26
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.
6
2016
Probabilistic analyses of condition numbers. Zbl 1350.65039
Cucker, Felipe
3
2016
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
224
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
114
2015
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
102
2015
Preconditioning. Zbl 1316.65039
Wathen, A. J.
85
2015
Generalized barycentric coordinates and applications. Zbl 1317.65065
Floater, Michael S.
64
2015
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
159
2014
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
142
2014
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
102
2014
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
42
2014
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
25
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
Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O.
15
2014
Finite element methods for surface PDEs. Zbl 1296.65156
Dziuk, Gerhard; Elliott, Charles M.
254
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High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
217
2013
Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
107
2013
Atomistic-to-continuum coupling. Zbl 1464.74007
Luskin, Mitchell; Ortner, Christoph
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2013
On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
Nesterov, Yurii; Nemirovski, Arkadi
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2013
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
166
2012
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.
122
2012
Secrets of image denoising cuisine. Zbl 1260.94016
Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M.
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2012
High-performance computing systems: status and outlook. Zbl 1253.68024
Dongarra, J. J.; van Der Steen, A. J.
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2012
Mathematical cancer therapy planning in deep regional hyperthermia. Zbl 1401.92103
Deuflhard, Peter; Schiela, Anton; Weiser, Martin
2
2012
Pricing futures by deterministic methods. Zbl 1272.91122
Pironneau, Olivier
1
2012
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
122
2011
Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176
Wohlmuth, Barbara
89
2011
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
72
2011
Topics in structure-preserving discretization. Zbl 1233.65087
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf
61
2011
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
25
2011
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
23
2011
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
529
2010
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
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2010
Finite element approximation of eigenvalue problems. Zbl 1242.65110
Boffi, Daniele
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2010
Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046
Rump, Siegfried M.
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2010
Computing matrix functions. Zbl 1242.65090
Higham, Nicholas J.; Al-Mohy, Awad H.
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2010
Kepler, Newton and numerical analysis. Zbl 1247.70001
Wanner, G.
5
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Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
1
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Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
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Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir
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2009
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.
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Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
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Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
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2008
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
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2008
Linear algebra algorithms as dynamical systems. Zbl 1165.65021
Chu, Moody T.
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2008
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
27
2008
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
26
2008
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
Tadmor, Eitan
45
2007
Semi-analytic geometry with R-functions. Zbl 1123.65012
Shapiro, Vadim
21
2007
Modelling atmospheric flows. Zbl 1120.76069
Cullen, Mike
13
2007
Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
12
2007
Molecular dynamics and the accuracy of numerically computed averages. Zbl 1131.82019
Bond, Stephen D.; Leimkuhler, Benedict J.
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2007
Numerical aspects of special functions. Zbl 1135.65011
Temme, Nico M.
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Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
400
2006
Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108
Schaback, Robert; Wendland, Holger
98
2006
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032
Meurant, Gérard; Strakoš, Zdenek
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2006
General linear methods. Zbl 1113.65072
Butcher, J. C.
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Cited by 13,676 Authors

60 Schwab, Christoph
50 Zhang, Guofeng
44 Quarteroni, Alfio M.
40 Stuart, Andrew M.
35 Jin, Shi
34 Hiptmair, Ralf
34 Liang, Zhaozheng
34 Pareschi, Lorenzo
33 Martín de Diego, David
31 Ma, Changfeng
31 Nürnberg, Robert
31 Tempone, Raúl F.
30 Garcke, Harald
30 Griebel, Michael
29 Boffi, Daniele
29 Leok, Melvin
29 Nobile, Fabio
28 Abdulle, Assyr
28 Blanes, Sergio
28 Buffa, Annalisa
28 Elliott, Charles M.
28 Harbrecht, Helmut
28 Wohlmuth, Barbara I.
27 Cao, Yang
27 Gatica, Gabriel N.
27 Han, Weimin
26 Bao, Weizhu
26 Kurganov, Alexander
26 Li, Jichun
26 Ostermann, Alexander
25 Dede’, Luca
25 Griffith, Boyce E.
25 Xu, Jinchao
24 Benner, Peter
24 Casas, Fernando
24 Gassner, Gregor J.
24 Liu, Xiaowei
24 Spence, Euan A.
24 Zhang, Jin
23 Conti, Costanza
23 Gunzburger, Max D.
23 Jasra, Ajay
23 Stoll, Martin
23 Wu, Xinyuan
22 Dick, Josef
22 Kuo, Frances Y.
22 Olshanskii, Maxim A.
22 Ortner, Christoph
22 Peskin, Charles S.
22 Sangalli, Giancarlo
21 Dimarco, Giacomo
21 Ghattas, Omar N.
21 Giles, Michael B.
21 Mishra, Siddhartha
21 Narayan, Akil C.
21 Romani, Lucia
21 Wick, Thomas
20 Langer, Ulrich
20 Schneider, Reinhold
20 Schönlieb, Carola-Bibiane
20 Sloan, Ian Hugh
20 Stoltz, Gabriel
20 Zhang, Zhimin
19 Benzi, Michele
19 Chen, Peng
19 Gastaldi, Lucia
19 Legoll, Frédéric
19 Li, Buyang
19 Lubich, Christian
19 Marzouk, Youssef M.
19 Praetorius, Dirk
19 Scheichl, Robert
19 Sun, Jiguang
19 Tavener, Simon J.
19 Wang, Bin
19 Winters, Andrew R.
19 Yang, Yidu
18 Babuška, Ivo
18 Barrett, John William
18 Dinh Dũng
18 Estep, Donald J.
18 Feng, Xinlong
18 Hu, Xiaozhe
18 Jung, Changyeol
18 Kritzer, Peter
18 Law, Kody J. H.
18 Le Bris, Claude
18 Wu, Yujiang
18 Zhang, Zhiwen
17 Bi, Hai
17 Brenner, Susanne Cecelia
17 Chamoin, Ludovic
17 Chen, Long
17 Cohen, Albert
17 Engquist, Bjorn E.
17 Goda, Takashi
17 Ju, Lili
17 Leyendecker, Sigrid
17 Lin, Guang
17 Lukáčová-Medviďová, Mária
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Cited in 602 Journals

1,168 Journal of Computational Physics
619 Computer Methods in Applied Mechanics and Engineering
425 SIAM Journal on Scientific Computing
399 Journal of Computational and Applied Mathematics
393 Journal of Scientific Computing
347 Computers & Mathematics with Applications
251 Numerische Mathematik
224 Applied Mathematics and Computation
212 SIAM Journal on Numerical Analysis
202 Applied Numerical Mathematics
185 Mathematics of Computation
178 Computers and Fluids
173 Numerical Algorithms
163 BIT
138 SIAM/ASA Journal on Uncertainty Quantification
126 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
122 Advances in Computational Mathematics
120 Inverse Problems
117 Linear Algebra and its Applications
105 Journal of Fluid Mechanics
101 Multiscale Modeling & Simulation
100 International Journal for Numerical Methods in Engineering
92 Communications in Computational Physics
85 Numerical Methods for Partial Differential Equations
81 Computational Optimization and Applications
77 Computational Mechanics
72 Foundations of Computational Mathematics
70 SIAM Journal on Matrix Analysis and Applications
67 Applied Mathematics Letters
66 International Journal of Computer Mathematics
64 SIAM Journal on Imaging Sciences
60 Computational and Applied Mathematics
59 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
57 Calcolo
57 Mathematics and Computers in Simulation
56 Mathematical Programming. Series A. Series B
55 Journal of Complexity
54 Numerical Linear Algebra with Applications
52 International Journal for Numerical Methods in Fluids
52 Journal of Global Optimization
47 Engineering Analysis with Boundary Elements
45 Statistics and Computing
44 Constructive Approximation
43 Computer Aided Geometric Design
41 Communications in Nonlinear Science and Numerical Simulation
40 SIAM Journal on Optimization
39 Applied Mathematical Modelling
38 Physica D
38 SIAM Review
38 Computational Methods in Applied Mathematics
33 Journal of Mathematical Analysis and Applications
32 Journal of Optimization Theory and Applications
32 Journal of Mathematical Imaging and Vision
32 Journal of Nonlinear Science
30 SIAM Journal on Mathematical Analysis
30 Optimization Methods & Software
30 East Asian Journal on Applied Mathematics
29 Applied and Computational Harmonic Analysis
29 Computational Geosciences
29 Acta Numerica
28 Journal of Mathematical Physics
28 Automatica
28 Advances in Applied Mathematics and Mechanics
27 Journal of Approximation Theory
25 ETNA. Electronic Transactions on Numerical Analysis
25 Discrete and Continuous Dynamical Systems
25 Archives of Computational Methods in Engineering
24 Discrete and Continuous Dynamical Systems. Series B
24 SMAI Journal of Computational Mathematics
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23 Optimization and Engineering
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22 Computer Physics Communications
22 Japan Journal of Industrial and Applied Mathematics
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19 Mathematical Problems in Engineering
19 Oberwolfach Reports
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18 Bulletin of Mathematical Biology
18 SIAM Journal on Applied Dynamical Systems
17 Archive for Rational Mechanics and Analysis
17 The Annals of Applied Probability
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 International Journal of Numerical Analysis and Modeling
17 Journal of Geometric Mechanics
17 Communications on Applied Mathematics and Computation
16 Communications on Pure and Applied Mathematics
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16 GAMM-Mitteilungen
16 Research in the Mathematical Sciences
15 Nonlinearity
15 Computing
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Cited in 62 Fields

7,656 Numerical analysis (65-XX)
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2,309 Fluid mechanics (76-XX)
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485 Computer science (68-XX)
480 Biology and other natural sciences (92-XX)
436 Approximations and expansions (41-XX)
418 Optics, electromagnetic theory (78-XX)
414 Dynamical systems and ergodic theory (37-XX)
350 Statistical mechanics, structure of matter (82-XX)
302 Ordinary differential equations (34-XX)
295 Mechanics of particles and systems (70-XX)
252 Systems theory; control (93-XX)
192 Information and communication theory, circuits (94-XX)
191 Operator theory (47-XX)
185 Quantum theory (81-XX)
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116 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
113 Integral equations (45-XX)
113 Functional analysis (46-XX)
97 Classical thermodynamics, heat transfer (80-XX)
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26 Relativity and gravitational theory (83-XX)
20 Convex and discrete geometry (52-XX)
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15 History and biography (01-XX)
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14 Functions of a complex variable (30-XX)
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9 Mathematics education (97-XX)
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