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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: Indexed cover-to-cover; Formerly book series under the same title
Documents Indexed: 115 Publications (since 2001)
References Indexed: 47 Publications with 8,126 References.
all top 5

Authors

3 Engquist, Bjorn E.
3 Tadmor, Eitan
2 Chu, Moody T.
2 Demmel, James Weldon
2 Dongarra, Jack J.
2 Dziuk, Gerhard
2 Elliott, Charles M.
2 Giles, Michael B.
2 Golub, Gene Howard
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 Anzt, Hartwig
1 Arnold, Douglas Norman
1 Arridge, Simon R.
1 Babuška, Ivo
1 Ballard, Grey M.
1 Banerjee, Uday
1 Basri, Ronen
1 Becker, Roland
1 Beirão da Veiga, Lourenço
1 Bellen, Alfredo
1 Belotti, Pietro
1 Benning, Martin
1 Benzi, Michele
1 Berger, Marsha J.
1 Björck, Åke
1 Boffi, Daniele
1 Bond, Stephen D.
1 Bou-Rabee, Nawaf M.
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 Crampin, Edmund John
1 Cucker, Felipe
1 Cullen, Mike
1 Davis, Timothy Alden
1 Deckelnick, Klaus
1 Deuflhard, Peter
1 DeVore, Ronald A.
1 Dick, Josef
1 Dimarco, Giacomo
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 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 Gates, Mark
1 George, David L.
1 Gittelson, Claude Jeffrey
1 Gould, Nick I. M.
1 Graham, Ivan G.
1 Greengard, Leslie F.
1 Griebel, Michael
1 Griewank, Andreas
1 Gueyffier, Denis
1 Guglielmi, Nicola
1 Gunzburger, Max D.
1 Güttel, Stefan
1 Hackbusch, Wolfgang
1 Haidar, Azzam
1 Hairer, Ernst
1 Han, Weimin
1 Hegland, Markus
1 Higdon, Robert L.
1 Higham, Nicholas J.
1 Hiptmair, Ralf
1 Hochbruck, Marlis
1 Hoemmen, Mark
1 Holtz, Olga
1 Hou, Thomas Yizhao
...and 125 more Authors
all top 5

Fields

95 Numerical analysis (65-XX)
36 Partial differential equations (35-XX)
11 Fluid mechanics (76-XX)
10 Computer science (68-XX)
9 Probability theory and stochastic processes (60-XX)
9 Information and communication theory, circuits (94-XX)
8 Operations research, mathematical programming (90-XX)
7 Mechanics of deformable solids (74-XX)
5 Ordinary differential equations (34-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Statistics (62-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Geophysics (86-XX)
3 Biology and other natural sciences (92-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Operator theory (47-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 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 9,957 times in 9,007 Documents Cited by Year
The immersed boundary method. Zbl 1123.74309
Peskin, Charles S.
960
2002
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
884
2005
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
420
2010
An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349
Becker, Roland; Rannacher, Rolf
378
2001
Discrete mechanics and variational integrators. Zbl 1123.37327
Marsden, Jerrold E.; West, M.
374
2001
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
355
2010
Sparse grids. Zbl 1118.65388
Bungartz, Hans-Joachim; Griebel, Michael
345
2004
Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar
330
2006
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
320
2002
Splitting methods. Zbl 1105.65341
McLachlan, Robert I.; Quispel, G. Reinout W.
227
2002
Finite element methods for surface PDEs. Zbl 1296.65156
Dziuk, Gerhard; Elliott, Charles M.
197
2013
Finite element approximation of eigenvalue problems. Zbl 1242.65110
Boffi, Daniele
191
2010
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
Tadmor, Eitan
185
2003
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
181
2013
Subdivision schemes in geometric modelling. Zbl 1105.65310
Dyn, Nira; Levin, David
172
2002
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality. Zbl 1105.65350
Giles, Michael B.; Süli, Endre
170
2002
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
169
2015
Semidefinite optimization. Zbl 1105.65334
Todd, M. J.
168
2001
Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
147
2005
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
143
2012
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
142
2003
Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046
Rump, Siegfried M.
116
2010
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
116
2014
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
112
2014
Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs. Zbl 1269.65010
Schwab, Christoph; Gittelson, Claude Jeffrey
106
2011
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
102
2016
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.
101
2012
Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
97
2003
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
91
2015
Steady-state convection-diffusion problems. Zbl 1115.65108
Stynes, Martin
91
2005
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
90
2009
Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108
Schaback, Robert; Wendland, Holger
85
2006
Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
82
2013
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
81
2003
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
81
2002
Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176
Wohlmuth, Barbara
80
2011
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
80
2015
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
80
2014
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
79
2004
Random matrix theory. Zbl 1162.15014
Edelman, Alan; Rao, N. Raj
77
2005
Model reduction methods based on Krylov subspaces. Zbl 1046.65021
Freund, Roland W.
76
2003
Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
66
2008
Preconditioning. Zbl 1316.65039
Wathen, A. J.
64
2015
General linear methods. Zbl 1113.65072
Butcher, J. C.
56
2006
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
55
2011
Generalized barycentric coordinates and applications. Zbl 1317.65065
Floater, Michael S.
55
2015
Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir
54
2009
Topics in structure-preserving discretization. Zbl 1233.65087
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf
53
2011
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
51
2016
The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032
Meurant, Gérard; Strakoš, Zdenek
48
2006
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
45
2017
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
44
2017
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
43
2019
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
42
2019
Atomistic-to-continuum coupling. Zbl 1464.74007
Luskin, Mitchell; Ortner, Christoph
41
2013
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
Tadmor, Eitan
38
2007
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
38
2019
Geometric aspects of the theory of Krylov subspace methods. Zbl 1105.65328
Eiermann, Michael; Ernst, Oliver G.
37
2001
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
36
2014
Computing matrix functions. Zbl 1242.65090
Higham, Nicholas J.; Al-Mohy, Awad H.
35
2010
Numerical methods for large-scale nonlinear optimization. Zbl 1119.65337
Gould, Nick; Orban, Dominique; Toint, Philippe
34
2005
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
33
2016
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
33
2018
Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
32
2008
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
28
2017
Linear algebra algorithms as dynamical systems. Zbl 1165.65021
Chu, Moody T.
26
2008
Numerical methods for large eigenvalue problems. Zbl 1105.65325
Sorensen, Danny C.
26
2002
Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
24
2008
Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
24
2005
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
24
2017
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
23
2011
Secrets of image denoising cuisine. Zbl 1260.94016
Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M.
23
2012
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.
22
2009
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
22
2018
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
21
2016
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
21
2014
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
20
2008
Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
19
2009
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
19
2011
Semi-analytic geometry with R-functions. Zbl 1123.65012
Shapiro, Vadim
19
2007
Modern statistical estimation via oracle inequalities. Zbl 1141.62001
Candès, Emmanuel J.
17
2006
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
17
2018
Multiscale computational modelling of the heart. Zbl 1112.92021
Smith, N. P.; Nickerson, D. P.; Crampin, E. J.; Hunter, P. J.
16
2004
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
15
2014
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
15
2019
Topological techniques for efficient rigorous computation in dynamics. Zbl 1123.37328
Mischaikow, Konstantin
14
2002
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
14
2018
A mathematical view of automatic differentiation. Zbl 1047.65012
Griewank, Andreas
13
2003
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
13
2018
Continuous dependence and error estimation for viscosity methods. Zbl 1048.65090
Cockburn, Bernardo
12
2003
Modelling atmospheric flows. Zbl 1120.76069
Cullen, Mike
12
2007
Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
12
2007
Total variation and level set methods in image science. Zbl 1119.65376
Tsai, Yen-Hsi Richard; Osher, Stanley
12
2005
On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
Nesterov, Yurii; Nemirovski, Arkadi
12
2013
Molecular dynamics and the accuracy of numerically computed averages. Zbl 1131.82019
Bond, Stephen D.; Leimkuhler, Benedict J.
9
2007
Numerical modelling of ocean circulation. Zbl 1108.76002
Higdon, Robert L.
9
2006
A survey of structure from motion. Zbl 1377.65027
Özyeşil, Onur; Voroninski, Vladislav; Basri, Ronen; Singer, Amit
8
2017
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
8
2019
The numerical analysis of functional integral and integro-differential equations of Volterra type. Zbl 1118.65391
Brunner, Hermann
7
2004
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.
7
2014
Derivative-free optimization methods. Zbl 1461.65169
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.
43
2019
Solving inverse problems using data-driven models. Zbl 1429.65116
Arridge, Simon; Maass, Peter; Öktem, Ozan; Schönlieb, Carola-Bibiane
42
2019
Numerical analysis of hemivariational inequalities in contact mechanics. Zbl 1433.65296
Han, Weimin; Sofonea, Mircea
38
2019
Data assimilation: the Schrödinger perspective. Zbl 1437.62350
Reich, Sebastian
15
2019
Numerical methods for Kohn-Sham density functional theory. Zbl 07099162
Lin, Lin; Lu, Jianfeng; Ying, Lexing
8
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
33
2018
Finite-volume schemes for shallow-water equations. Zbl 1430.76372
Kurganov, Alexander
22
2018
Numerical methods for nonlinear equations. Zbl 1429.65108
Kelley, C. T.
17
2018
Geometric integrators and the Hamiltonian Monte Carlo method. Zbl 1431.65004
Bou-Rabee, Nawaf; Sanz-Serna, J. M.
14
2018
Adaptive multiscale predictive modelling. Zbl 1430.60006
Oden, J. Tinsley
13
2018
The nonlinear eigenvalue problem. Zbl 1377.65061
Güttel, Stefan; Tisseur, Françoise
45
2017
Algebraic multigrid methods. Zbl 1378.65182
Xu, Jinchao; Zikatanov, Ludmil
44
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
28
2017
The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. Zbl 1376.92016
Quarteroni, A.; Manzoni, A.; Vergara, C.
24
2017
A survey of structure from motion. Zbl 1377.65027
Özyeşil, Onur; Voroninski, Vladislav; Basri, Ronen; Singer, Amit
8
2017
Randomized algorithms in numerical linear algebra. Zbl 1378.65084
Kannan, Ravindran; Vempala, Santosh
6
2017
An introduction to continuous optimization for imaging. Zbl 1343.65064
Chambolle, Antonin; Pock, Thomas
102
2016
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
51
2016
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
33
2016
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
21
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.
4
2016
Probabilistic analyses of condition numbers. Zbl 1350.65039
Cucker, Felipe
2
2016
Multilevel Monte Carlo methods. Zbl 1316.65010
Giles, Michael B.
169
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
91
2015
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
80
2015
Preconditioning. Zbl 1316.65039
Wathen, A. J.
64
2015
Generalized barycentric coordinates and applications. Zbl 1317.65065
Floater, Michael S.
55
2015
Mathematical analysis of variational isogeometric methods. Zbl 1398.65287
Beirão da Veiga, L.; Buffa, A.; Sangalli, G.; Vázquez, R.
116
2014
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
112
2014
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
80
2014
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
36
2014
Numerical tensor calculus. Zbl 1396.65091
Hackbusch, Wolfgang
21
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
15
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.
7
2014
Finite element methods for surface PDEs. Zbl 1296.65156
Dziuk, Gerhard; Elliott, Charles M.
197
2013
High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004
Dick, Josef; Kuo, Frances Y.; Sloan, Ian H.
181
2013
Mixed-integer nonlinear optimization. Zbl 1291.65172
Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh
82
2013
Atomistic-to-continuum coupling. Zbl 1464.74007
Luskin, Mitchell; Ortner, Christoph
41
2013
On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089
Nesterov, Yurii; Nemirovski, Arkadi
12
2013
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
143
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.
101
2012
Secrets of image denoising cuisine. Zbl 1260.94016
Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M.
23
2012
High-performance computing systems: status and outlook. Zbl 1253.68024
Dongarra, J. J.; van Der Steen, A. J.
3
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
106
2011
Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176
Wohlmuth, Barbara
80
2011
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
55
2011
Topics in structure-preserving discretization. Zbl 1233.65087
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf
53
2011
Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394
LeVeque, Randall J.; George, David L.; Berger, Marsha J.
23
2011
Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031
Wampler, Charles W.; Sommese, Andrew J.
19
2011
Inverse problems: a Bayesian perspective. Zbl 1242.65142
Stuart, A. M.
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Exponential integrators. Zbl 1242.65109
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Finite element approximation of eigenvalue problems. Zbl 1242.65110
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Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046
Rump, Siegfried M.
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Computing matrix functions. Zbl 1242.65090
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Kepler, Newton and numerical analysis. Zbl 1247.70001
Wanner, G.
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Binary separation and training support vector machines. Zbl 1238.68123
Fletcher, Roger; Zanghirati, Gaetano
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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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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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Asymptotic and numerical homogenization. Zbl 1179.65142
Engquist, B.; Souganidis, P. E.
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Linear algebra algorithms as dynamical systems. Zbl 1165.65021
Chu, Moody T.
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Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen
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Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
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Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
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Semi-analytic geometry with R-functions. Zbl 1123.65012
Shapiro, Vadim
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Modelling atmospheric flows. Zbl 1120.76069
Cullen, Mike
12
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Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086
Morton, K. W.; Sonar, T.
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Molecular dynamics and the accuracy of numerically computed averages. Zbl 1131.82019
Bond, Stephen D.; Leimkuhler, Benedict J.
9
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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
330
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Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108
Schaback, Robert; Wendland, Holger
85
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General linear methods. Zbl 1113.65072
Butcher, J. C.
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The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032
Meurant, Gérard; Strakoš, Zdenek
48
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Modern statistical estimation via oracle inequalities. Zbl 1141.62001
Candès, Emmanuel J.
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Numerical modelling of ocean circulation. Zbl 1108.76002
Higdon, Robert L.
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Numerical linear algebra in data mining. Zbl 1112.68044
Eldén, Lars
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Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
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Computation of geometric partial differential equations and mean curvature flow. Zbl 1113.65097
Deckelnick, Klaus; Dziuk, Gerhard; Elliott, Charles M.
147
2005
Steady-state convection-diffusion problems. Zbl 1115.65108
Stynes, Martin
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Random matrix theory. Zbl 1162.15014
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Numerical methods for large-scale nonlinear optimization. Zbl 1119.65337
Gould, Nick; Orban, Dominique; Toint, Philippe
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Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
24
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Total variation and level set methods in image science. Zbl 1119.65376
Tsai, Yen-Hsi Richard; Osher, Stanley
12
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Sparse grids. Zbl 1118.65388
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345
2004
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
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2004
Multiscale computational modelling of the heart. Zbl 1112.92021
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The numerical analysis of functional integral and integro-differential equations of Volterra type. Zbl 1118.65391
Brunner, Hermann
7
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The calculation of linear least squares problems. Zbl 1118.65326
Björck, Åke
3
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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
Tadmor, Eitan
185
2003
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
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Geometric numerical integration illustrated by the Störmer-Verlet method. Zbl 1046.65110
Hairer, Ernst; Lubich, Christian; Wanner, Gerhard
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2003
Computational high frequency wave propagation. Zbl 1049.65098
Engquist, Björn; Runborg, Olof
81
2003
Model reduction methods based on Krylov subspaces. Zbl 1046.65021
Freund, Roland W.
76
2003
A mathematical view of automatic differentiation. Zbl 1047.65012
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Cited by 11,353 Authors

55 Schwab, Christoph
50 Zhang, Guofeng
37 Stuart, Andrew M.
34 Hiptmair, Ralf
33 Liang, Zhaozheng
33 Ma, Changfeng
32 Martín de Diego, David
29 Quarteroni, Alfio M.
28 Garcke, Harald
27 Abdulle, Assyr
27 Cao, Yang
27 Gatica, Gabriel N.
27 Nürnberg, Robert
27 Tempone, Raúl F.
27 Wohlmuth, Barbara I.
26 Elliott, Charles M.
26 Griebel, Michael
25 Blanes, Sergio
25 Harbrecht, Helmut
25 Jin, Shi
25 Leok, Melvin
24 Benner, Peter
24 Nobile, Fabio
24 Pareschi, Lorenzo
23 Buffa, Annalisa
23 Li, Jichun
23 Xu, Jinchao
22 Boffi, Daniele
22 Conti, Costanza
22 Ostermann, Alexander
22 Peskin, Charles S.
22 Romani, Lucia
21 Dick, Josef
21 Griffith, Boyce E.
21 Han, Weimin
21 Liu, Xiaowei
21 Wu, Xinyuan
20 Gassner, Gregor J.
20 Giles, Michael B.
20 Gunzburger, Max D.
20 Kuo, Frances Y.
20 Sangalli, Giancarlo
20 Zhang, Jin
19 Bao, Weizhu
19 Benzi, Michele
19 Casas, Fernando
19 Mishra, Siddhartha
19 Olshanskii, Maxim A.
19 Ortner, Christoph
19 Sloan, Ian Hugh
19 Stoll, Martin
19 Winters, Andrew R.
18 Barrett, John William
18 Dede’, Luca
18 Langer, Ulrich
18 Li, Buyang
18 Marzouk, Youssef M.
18 Schneider, Reinhold
18 Tavener, Simon J.
18 Wick, Thomas
18 Wu, Yujiang
17 Estep, Donald J.
17 Jasra, Ajay
17 Narayan, Akil C.
17 Spence, Euan A.
17 Sun, Jiguang
17 Yang, Aili
17 Zhang, Zhimin
16 Babuška, Ivo
16 Brenner, Susanne Cecelia
16 Chen, Long
16 Huang, Ting-Zhu
16 Huang, Zhengge
16 Jung, Changyeol
16 Kritzer, Peter
16 Marsden, Jerrold Eldon
16 Nuyens, Dirk
16 Scheichl, Robert
16 Simoncini, Valeria
16 Yang, Yidu
15 Carpenter, Mark H.
15 Gastaldi, Lucia
15 Hladík, Milan
15 Kurganov, Alexander
15 Le Bris, Claude
15 Meddahi, Salim
15 Mustafa, Ghulam
15 Pillichshammer, Friedrich
15 Praetorius, Dirk
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15 Schaback, Robert
15 Ullmann, Elisabeth
15 Wathen, Andrew John
15 Wu, Shiliang
15 Zou, Jun
14 Axelsson, Axel Owe Holger
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14 Chen, Peng
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931 Journal of Computational Physics
500 Computer Methods in Applied Mechanics and Engineering
360 SIAM Journal on Scientific Computing
356 Journal of Computational and Applied Mathematics
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290 Computers & Mathematics with Applications
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180 SIAM Journal on Numerical Analysis
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158 Computers and Fluids
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150 BIT
118 SIAM/ASA Journal on Uncertainty Quantification
113 Advances in Computational Mathematics
107 Linear Algebra and its Applications
105 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
99 International Journal for Numerical Methods in Engineering
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85 Multiscale Modeling & Simulation
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68 Inverse Problems
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51 Mathematical Programming. Series A. Series B
51 Computational and Applied Mathematics
50 SIAM Journal on Matrix Analysis and Applications
49 Journal of Complexity
49 Journal of Global Optimization
46 Calcolo
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44 Engineering Analysis with Boundary Elements
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41 Numerical Methods for Partial Differential Equations
39 Constructive Approximation
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34 Statistics and Computing
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31 Physica D
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25 Archives of Computational Methods in Engineering
24 Automatica
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24 East Asian Journal on Applied Mathematics
23 European Journal of Mechanics. B. Fluids
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21 ETNA. Electronic Transactions on Numerical Analysis
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20 Discrete and Continuous Dynamical Systems. Series B
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18 Japan Journal of Industrial and Applied Mathematics
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18 Mathematical Problems in Engineering
17 Bulletin of Mathematical Biology
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Journal of Computational Dynamics
15 Archive for Rational Mechanics and Analysis
15 Computer Physics Communications
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15 Computing
15 Celestial Mechanics and Dynamical Astronomy
15 SIAM Journal on Applied Dynamical Systems
15 Inverse Problems and Imaging
15 Research in the Mathematical Sciences
14 The Annals of Applied Probability
14 Physics of Fluids
14 Journal of Theoretical Biology
13 Nonlinearity
13 Computing and Visualization in Science
13 Journal of Applied Mathematics and Computing
13 Discrete and Continuous Dynamical Systems. Series S
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6,348 Numerical analysis (65-XX)
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