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 Latest Issues 32 (2023) 31 (2022) 30 (2021) 29 (2020) 28 (2019) 27 (2018) 26 (2017) 25 (2016) 24 (2015) 23 (2014) 22 (2013) 21 (2012) 20 (2011) 19 (2010) 18 (2009) 17 (2008) 16 (2007) 15 (2006) 14 (2005) 13 (2004) 12 (2003) 11 (2002) 10 (2001) 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 all cited Publications top 5 cited Publications 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. 1,107 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 Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. 17 2014 Finite element methods for surface PDEs. Zbl 1296.65156 Dziuk, Gerhard; Elliott, Charles M. 268 2013 High-dimensional integration: The quasi-Monte Carlo way. Zbl 1296.65004 Dick, Josef; Kuo, Frances Y.; Sloan, Ian H. 229 2013 Mixed-integer nonlinear optimization. Zbl 1291.65172 Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh 115 2013 Atomistic-to-continuum coupling. Zbl 1464.74007 Luskin, Mitchell; Ortner, Christoph 51 2013 On first-order algorithms for \(\ell_{1}/\)nuclear norm minimization. Zbl 1293.65089 Nesterov, Yurii; Nemirovski, Arkadi 15 2013 The heterogeneous multiscale method. Zbl 1255.65224 Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric 176 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. 124 2012 Secrets of image denoising cuisine. Zbl 1260.94016 Lebrun, M.; Colom, M.; Buades, A.; Morel, J. M. 25 2012 High-performance computing systems: status and outlook. Zbl 1253.68024 Dongarra, J. J.; van Der Steen, A. J. 5 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 124 2011 Variationally consistent discretization schemes and numerical algorithms for contact problems. Zbl 1432.74176 Wohlmuth, Barbara 92 2011 Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071 Jin, Shi; Markowich, Peter; Sparber, Christof 74 2011 Topics in structure-preserving discretization. Zbl 1233.65087 Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf 65 2011 Tsunami modelling with adaptively refined finite volume methods. Zbl 1426.76394 LeVeque, Randall J.; George, David L.; Berger, Marsha J. 26 2011 Numerical algebraic geometry and algebraic kinematics. Zbl 1254.13031 Wampler, Charles W.; Sommese, Andrew J. 24 2011 Inverse problems: a Bayesian perspective. Zbl 1242.65142 Stuart, A. M. 560 2010 Exponential integrators. Zbl 1242.65109 Hochbruck, Marlis; Ostermann, Alexander 469 2010 Finite element approximation of eigenvalue problems. Zbl 1242.65110 Boffi, Daniele 235 2010 Verification methods: rigorous results using floating-point arithmetic. Zbl 1323.65046 Rump, Siegfried M. 143 2010 Computing matrix functions. Zbl 1242.65090 Higham, Nicholas J.; Al-Mohy, Awad H. 39 2010 Kepler, Newton and numerical analysis. Zbl 1247.70001 Wanner, G. 5 2010 Binary separation and training support vector machines. Zbl 1238.68123 Fletcher, Roger; Zanghirati, Gaetano 1 2010 Adaptivity with moving grids. Zbl 1181.65122 Budd, Chris J.; Huang, Weizhang; Russell, Robert D. 113 2009 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 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 Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078 Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola 24 2009 Greedy approximation. Zbl 1178.65050 Temlyakov, V. N. 77 2008 Asymptotic and numerical homogenization. Zbl 1179.65142 Engquist, B.; Souganidis, P. E. 43 2008 Linear algebra algorithms as dynamical systems. Zbl 1165.65021 Chu, Moody T. 41 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 46 2007 Semi-analytic geometry with R-functions. Zbl 1123.65012 Shapiro, Vadim 21 2007 Finite volume methods for hyperbolic conservation laws. Zbl 1123.65086 Morton, K. W.; Sonar, T. 15 2007 Modelling atmospheric flows. Zbl 1120.76069 Cullen, Mike 14 2007 Molecular dynamics and the accuracy of numerically computed averages. Zbl 1131.82019 Bond, Stephen D.; Leimkuhler, Benedict J. 9 2007 Numerical aspects of special functions. Zbl 1135.65011 Temme, Nico M. 6 2007 Finite element exterior calculus, homological techniques, and applications. Zbl 1185.65204 Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar 420 2006 Kernel techniques: from machine learning to meshless methods. Zbl 1111.65108 Schaback, Robert; Wendland, Holger 103 2006 The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Zbl 1113.65032 Meurant, Gérard; Strakoš, Zdenek 63 2006 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 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. 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Académie des Sciences, Paris 17 Research in the Mathematical Sciences 16 Communications on Pure and Applied Mathematics ...and 512 more Journals all top 5 Cited in 62 Fields 8,018 Numerical analysis (65-XX) 3,024 Partial differential equations (35-XX) 2,395 Fluid mechanics (76-XX) 1,267 Mechanics of deformable solids (74-XX) 773 Operations research, mathematical programming (90-XX) 704 Statistics (62-XX) 666 Probability theory and stochastic processes (60-XX) 568 Calculus of variations and optimal control; optimization (49-XX) 561 Computer science (68-XX) 521 Linear and multilinear algebra; matrix theory (15-XX) 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) 200 Operator theory (47-XX) 175 Global analysis, analysis on manifolds (58-XX) 171 Harmonic analysis on Euclidean spaces (42-XX) 164 Geophysics (86-XX) 135 Differential geometry (53-XX) 125 Functional analysis (46-XX) 124 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 123 Integral equations (45-XX) 103 Classical thermodynamics, heat transfer (80-XX) 75 Real functions (26-XX) 59 Combinatorics (05-XX) 52 Special functions (33-XX) 42 Algebraic topology (55-XX) 41 Number theory (11-XX) 38 General and overarching topics; collections (00-XX) 38 Algebraic geometry (14-XX) 33 Potential theory (31-XX) 32 Measure and integration (28-XX) 32 Difference and functional equations (39-XX) 29 Relativity and gravitational theory (83-XX) 22 Convex and discrete geometry (52-XX) 19 Commutative algebra (13-XX) 19 Topological groups, Lie groups (22-XX) 19 Integral transforms, operational calculus (44-XX) 15 History and biography (01-XX) 15 Nonassociative rings and algebras (17-XX) 15 Functions of a complex variable (30-XX) 12 Manifolds and cell complexes (57-XX) 11 General topology (54-XX) 10 Group theory and generalizations (20-XX) 10 Astronomy and astrophysics (85-XX) 9 Mathematics education (97-XX) 6 Associative rings and algebras (16-XX) 5 Mathematical logic and foundations (03-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 5 Geometry (51-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-XX) 3 Field theory and polynomials (12-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) Citations by Year