Communications in Applied Mathematics and Computational Science Short Title: Commun. Appl. Math. Comput. Sci. Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA ISSN: 1559-3940; 2157-5452/e Online: http://msp.org/camcos Comments: Journal; Indexed cover-to-cover Documents Indexed: 126 Publications (since 2006) References Indexed: 49 Publications with 1,806 References. all top 5 Latest Issues 19, No. 1 (2024) 18, No. 1 (2023) 17, No. 1 (2022) 16, No. 2 (2021) 16, No. 1 (2021) 15, No. 2 (2020) 15, No. 1 (2020) 14, No. 2 (2019) 14, No. 1 (2019) 13, No. 2 (2018) 13, No. 1 (2018) 12, No. 1 (2017) 11, No. 2 (2016) 11, No. 1 (2016) 10, No. 2 (2015) 10, No. 1 (2015) 9, No. 2 (2014) 9, No. 1 (2014) 8, No. 1 (2013) 7, No. 2 (2012) 7, No. 1 (2012) 6, No. 1 (2011) 5, No. 2 (2010) 5, No. 1 (2010) 4 (2009) 3 (2008) 2 (2007) 1 (2006) all top 5 Authors 11 Colella, Phillip 6 Bell, John B. 6 Horenko, Illia 5 Ketcheson, David I. 4 Chorin, Alexandre Joel 4 Donev, Aleksandar 4 Graves, Daniel T. 4 Saye, Robert I. 3 Chopp, David L. 3 Klein, Rupert 3 McCorquodale, Peter 3 Minion, Michael L. 3 Morzfeld, Matthias 3 Nonaka, Andy 3 Puckett, Elbridge Gerry 3 Sun, Yifei 3 Trebotich, David P. 3 Tu, Xuemin 2 Barenblatt, Grigory Isaakovich 2 Beale, J. Thomas 2 Christlieb, Andrew J. 2 Firsov, Dmitry K. 2 Gagliardini, Patrick 2 Garcia, Alejandro L. 2 Greengard, Leslie F. 2 Johansen, Hans 2 Kotovshchikova, Marina 2 Layton, Anita T. 2 LeFloch, Philippe Gerard 2 LeVeque, Randall J. 2 Lo, Boris 2 Lui, Shiu Hong 2 Miller, Gregory Hale 2 Ong, Benjamin W. 2 Putzig, Lars 2 Ranocha, Hendrik 2 Schütz, Jochen 2 Schwartz, Peter O. 2 Smith, Bryan Gerard 2 Speck, Robert 2 Stinis, Panagiotis 2 Stinis, Panos 2 Strychalski, Wanda 2 Ullrich, Paul Aaron 2 Vanden-Eijnden, Eric 2 Vaughan, Benjamin Leroy jun. 2 Westphal, Chad R. 2 Wilkening, Jon A. 1 Adalsteinsson, David 1 Adams, Mark F. 1 Ahmadia, Aron J. 1 Almgren, Ann S. 1 Ambrose, David M. 1 Aspden, Andrew J. 1 Ateljevich, Eli 1 Baden, Scott B. 1 Balls, Gregory T. 1 Balsara, Dinshaw S. 1 Beck, Andrea D. 1 Bennett, Janine C. 1 Berthon, Christophe 1 Bertsch, Michiel 1 Bhalla, Amneet Pal Singh 1 Biswas, Abhijit 1 Blouza, Adel 1 Boudin, Laurent 1 Brandejsky, Adrien 1 Bremer, Peer-Timo 1 Cai, Xiao-Chuan 1 Čaklović, Gayatri 1 Cameron, Maria Kourkina 1 Cancès, Eric 1 Cao, Yangyang 1 Causley, Mathew 1 Chandrashekar, Praveen 1 Chaplin, Christopher 1 Chen, Jacqueline H. 1 Chen, Yanping 1 Cogan, Nicholas G. 1 Coqueret, Guillaume 1 Cortez, Ricardo 1 Crommelin, Daan T. 1 Dal Pont, Stefano 1 Dalziel, Stuart B. 1 Day, Marcus S. 1 De Luna, Manuel Quezada 1 de Saporta, Benoîte 1 de Wiljes, Jana 1 Devendran, Dharshi 1 Dimnet, Eric 1 Djurdjevac, Ana 1 Djurdjevac Conrad, Natasa 1 Draxl, Claudia 1 Dufour, François 1 Elston, Timothy C. 1 Emmett, Matthew 1 Enaux, Cedric 1 Everschore-Sitte, Karin 1 Ezquerro, José Antonio 1 Fagnan, Kirsten ...and 158 more Authors all top 5 Fields 102 Numerical analysis (65-XX) 48 Partial differential equations (35-XX) 43 Fluid mechanics (76-XX) 12 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 8 Optics, electromagnetic theory (78-XX) 7 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,278 times in 1,076 Documents Cited by ▼ Year ▼ Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106 Emmett, Matthew; Minion, Michael L. 114 2012 On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319 Beale, J. Thomas; Layton, Anita T. 78 2006 Ensemble samplers with affine invariance. Zbl 1189.65014 Goodman, Jonathan; Weare, Jonathan 78 2010 A hybrid parareal spectral deferred corrections method. Zbl 1208.65101 Minion, Michael L. 74 2010 A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163 McCorquodale, Peter; Colella, Phillip 64 2011 A Nitsche-based cut finite element method for a fluid-structure interaction problem. Zbl 1326.74122 Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 41 2015 An immersed boundary method for rigid bodies. Zbl 1382.76191 Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar 38 2016 Implicit particle filters for data assimilation. Zbl 1229.60047 Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 32 2010 Problem reduction, renormalization, and memory. Zbl 1108.82023 Chorin, Alexandre J.; Stinis, Panagiotis 32 2006 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 30 2009 On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089 Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John 30 2010 Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114 Ketcheson, David I.; Ahmadia, Aron J. 29 2012 On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076 Hagstrom, Thomas; Zhou, Ruhai 28 2006 Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003 Mathelin, Lionel; Le Maître, Olivier 27 2007 A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 1153.65373 Vaughan, Benjamin Leroy jun.; Smith, Bryan Gerard; Chopp, David L. 25 2006 Analysis of implicit LES methods. Zbl 1162.76024 Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B. 23 2008 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010 Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 23 2006 FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226 Galvis, Juan; Sarkis, Marcus 23 2010 Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059 Layton, Anita T.; Minion, Michael L. 20 2007 A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131 Langston, M. Harper; Greengard, Leslie; Zorin, Denis 20 2011 High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030 Saye, Robert I. 18 2014 A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024 Mori, Yoichiro; Peskin, Charles S. 18 2009 A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043 Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng 16 2020 A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402 Tu, Xuemin; Li, Jing 15 2008 The extended finite element method for boundary layer problems in biofilm growth. Zbl 1131.65092 Smith, Bryan G.; Vaughan, Benjamin L. jun.; Chopp, David L. 14 2007 Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082 Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud 14 2010 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055 Cortez, Ricardo; Nicholas, Michael 14 2012 Parameter estimation by implicit sampling. Zbl 1328.86002 Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 13 2015 A local corrections algorithm for solving Poisson’s equation in three dimensions. Zbl 1133.65106 McCorquodale, Peter; Colella, Phillip; Balls, Gregory T.; Baden, Scott B. 12 2007 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094 Vater, Stefan; Klein, Rupert 11 2018 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110 Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 11 2015 An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 1516.65075 Trebotich, David; Graves, Daniel T. 11 2015 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091 Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 10 2018 On the convergence of spectral deferred correction methods. Zbl 1435.65104 Causley, Mathew; Seal, David 10 2019 A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel. Zbl 1314.65102 Ketcheson, David I.; Waheed, Umair bin 10 2014 The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005 Greengard, Leslie; Lee, June-Yub; Inati, Souheil 9 2006 Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306 Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg 9 2021 Analysis of persistent nonstationary time series and applications. Zbl 1275.62067 Metzner, Philipp; Putzig, Lars; Horenko, Illia 8 2012 Renormalized reduced models for singular PDEs. Zbl 1457.65078 Stinis, Panos 7 2013 A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations. Zbl 1282.76006 Graves, Daniel T.; Colella, Phillip; Modiano, David; Johnson, Jeffrey; Sjogreen, Bjorn; Gao, Xinfeng 7 2013 An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034 Hao, Wenrui; Harlim, John 7 2018 High-accuracy embedded boundary grid generation using the divergence theorem. Zbl 1312.65204 Schwartz, Peter; Percelay, Julie; Ligocki, Terry J.; Johansen, Hans; Graves, Daniel T.; Devendran, Dharshi; Colella, Phillip; Ateljevich, Eli 7 2015 Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175 Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I. 7 2021 Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012 Motheau, Emmanuel; Wakefield, John 7 2020 Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141 Tzou, Chung-Nan; Stechmann, Samuel N. 7 2019 Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027 Saye, Robert I. 7 2019 A higher-order Godunov method for radiation hydrodynamics: radiation subsystem. Zbl 1180.35031 Sekora, Michael David; Stone, James M. 7 2009 Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves. Zbl 1184.35271 Ambrose, David M.; Wilkening, Jon 7 2009 An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere. Zbl 1326.65114 McCorquodale, Peter; Ullrich, Paul A.; Johansen, Hans; Colella, Phillip 6 2015 Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189 Chen, Yanping; Gu, Zhendong 6 2013 Low Mach number fluctuating hydrodynamics of diffusively mixing fluids. Zbl 1317.76087 Donev, Aleksandar; Nonaka, Andy; Sun, Yifei; Fai, Thomas G.; Garcia, Alejandro L.; Bell, John B. 6 2014 From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045 Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof 6 2021 Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134 Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen 6 2021 Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342 Cai, Xiao-Chuan; Liu, Si; Zou, Jun 5 2009 Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068 Stinis, Panos 5 2011 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266 Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 5 2016 Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008 Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J. 5 2006 Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051 Garcia, Alejandro L. 5 2006 An urn model associated with Jacobi polynomials. Zbl 1188.60040 Grünbaum, F. Alberto 5 2010 Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176 Saye, Robert 5 2020 Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134 Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073 Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar 4 2015 On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199 Kemm, Friedemann 4 2013 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018 Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064 Puckett, Elbridge Gerry 4 2010 Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086 Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François 4 2012 On a scalable nonparametric denoising of time series signals. Zbl 1385.37084 Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia 4 2018 On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063 Puckett, Elbridge Gerry 4 2010 A front-tracking shock-capturing method for two gases. Zbl 1326.76075 Vahab, Mehdi; Miller, Gregory 3 2016 A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063 LeFloch, Philippe; Xiang, Shuyang 3 2018 Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047 Weiser, Martin; Ghosh, Sunayana 3 2018 A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091 Chaplin, Christopher; Colella, Phillip 3 2017 A new class of secant-like methods for solving nonlinear systems of equations. Zbl 1311.65057 Ezquerro, José A.; Grau, Angela; Grau-Sánchez, Miquel; Hernández-Verón, Miguel A. 3 2014 Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model. Zbl 1434.35207 Kang, Tong; Wang, Ran; Zhang, Huai 3 2019 Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164 Cameron, Maria; Yang, Shuo 3 2019 A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014 Stinis, Panagiotis 3 2009 Design of DIRK schemes with high weak stage order. Zbl 1515.65183 Biswas, Abhijit; Ketcheson, David I.; Seibold, Benjamin; Shirokoff, David 3 2023 Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021 Cogan, Nicholas G. 2 2007 Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250 Kavouklis, Chris; Colella, Phillip 2 2019 Second-order accuracy of volume-of-fluid interface reconstruction algorithms. II: An improved constraint on the cell size. Zbl 1282.76141 Puckett, Elbridge Gerry 2 2013 An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215 Miller, Gregory H.; Trebotich, David 2 2012 Discrete nonhomogeneous and nonstationary logistic and Markov regression models for spatiotemporal data with unresolved external influences. Zbl 1314.62010 de Wiljes, Jana; Putzig, Lars; Horenko, Illia 2 2014 On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209 Kaiser, Olga; Horenko, Illia 2 2014 On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069 Pazner, Will; Persson, Per-Olof 2 2018 A real-space Green’s function method for the numerical solution of Maxwell’s equations. Zbl 1365.65207 Lo, Boris; Minden, Victor; Colella, Phillip 2 2016 A cut-cell method for simulating spatial models of biochemical reaction networks in arbitrary geometries. Zbl 1186.92022 Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy 2 2010 Identifying turbulent structures through topological segmentation. Zbl 1326.76047 Bremer, Peer-Timo; Gruber, Andrea; Bennett, Janine C.; Gyulassy, Attila; Kolla, Hemanth; Chen, Jacqueline H.; Grout, Ray W. 1 2016 Adaptively weighted least squares finite element methods for partial differential equations with singularities. Zbl 1448.65233 Hayhurst, Brian; Keller, Mason; Rai, Chris; Sun, Xidian; Westphal, Chad 1 2018 A third order finite volume WENO scheme for Maxwell’s equations on tetrahedral meshes. Zbl 1386.78023 Kotovshchikova, Marina; Firsov, Dmitry; Lui, Shiu Hong 1 2018 An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196 Sun, Yifei; Westphal, Chad R. 1 2015 Advanced stationary and nonstationary kernel designs for domain-aware Gaussian processes. Zbl 1498.60012 Noack, Marcus M.; Sethian, James A. 1 2022 An application of Gaussian process modeling for high-order accurate adaptive mesh refinement prolongation. Zbl 1501.65148 Reeves, Steven I.; Lee, Dongwook; Reyes, Adam; Graziani, Carlo; Tzeferacos, Petros 1 2022 Convergence of multilevel spectral deferred corrections. Zbl 1480.65168 Kremling, Gitte; Speck, Robert 1 2021 On a computationally scalable sparse formulation of the multidimensional and nonstationary maximum entropy principle. Zbl 1458.37086 Horenko, Illia; Marchenko, Ganna; Gagliardini, Patrick 1 2020 A third-order multirate Runge-Kutta scheme for finite volume solution of 3D time-dependent Maxwell’s equations. Zbl 1444.65033 Kotovshchikova, Marina; Firsov, Dmitry K.; Lui, Shiu Hong 1 2020 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346 Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 Discontinuous Galerkin method with the spectral deferred correction time-integration scheme and a modified moment limiter for adaptive grids. Zbl 1416.65351 Gryngarten, Leandro D.; Smith, Andrew; Menon, Suresh 1 2012 Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668 Barenblatt, Grigory Isaakovich 1 2009 A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems. Zbl 1531.65194 Čaklović, Gayatri; Speck, Robert; Frank, Martin 1 2023 A Numerical study of Landau damping with PETSc-PIC. Zbl 1531.35317 Finn, Daniel S.; Knepley, Matthew G.; Pusztay, Joseph V.; Adams, Mark F. 1 2023 Design of DIRK schemes with high weak stage order. Zbl 1515.65183 Biswas, Abhijit; Ketcheson, David I.; Seibold, Benjamin; Shirokoff, David 3 2023 A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems. Zbl 1531.65194 Čaklović, Gayatri; Speck, Robert; Frank, Martin 1 2023 A Numerical study of Landau damping with PETSc-PIC. Zbl 1531.35317 Finn, Daniel S.; Knepley, Matthew G.; Pusztay, Joseph V.; Adams, Mark F. 1 2023 Advanced stationary and nonstationary kernel designs for domain-aware Gaussian processes. Zbl 1498.60012 Noack, Marcus M.; Sethian, James A. 1 2022 An application of Gaussian process modeling for high-order accurate adaptive mesh refinement prolongation. Zbl 1501.65148 Reeves, Steven I.; Lee, Dongwook; Reyes, Adam; Graziani, Carlo; Tzeferacos, Petros 1 2022 Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306 Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg 9 2021 Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175 Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I. 7 2021 From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045 Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof 6 2021 Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134 Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen 6 2021 Convergence of multilevel spectral deferred corrections. Zbl 1480.65168 Kremling, Gitte; Speck, Robert 1 2021 A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043 Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng 16 2020 Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012 Motheau, Emmanuel; Wakefield, John 7 2020 Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176 Saye, Robert 5 2020 On a computationally scalable sparse formulation of the multidimensional and nonstationary maximum entropy principle. Zbl 1458.37086 Horenko, Illia; Marchenko, Ganna; Gagliardini, Patrick 1 2020 A third-order multirate Runge-Kutta scheme for finite volume solution of 3D time-dependent Maxwell’s equations. Zbl 1444.65033 Kotovshchikova, Marina; Firsov, Dmitry K.; Lui, Shiu Hong 1 2020 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346 Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 On the convergence of spectral deferred correction methods. Zbl 1435.65104 Causley, Mathew; Seal, David 10 2019 Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141 Tzou, Chung-Nan; Stechmann, Samuel N. 7 2019 Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027 Saye, Robert I. 7 2019 Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model. Zbl 1434.35207 Kang, Tong; Wang, Ran; Zhang, Huai 3 2019 Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164 Cameron, Maria; Yang, Shuo 3 2019 Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250 Kavouklis, Chris; Colella, Phillip 2 2019 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094 Vater, Stefan; Klein, Rupert 11 2018 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091 Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 10 2018 An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034 Hao, Wenrui; Harlim, John 7 2018 On a scalable nonparametric denoising of time series signals. Zbl 1385.37084 Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia 4 2018 A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063 LeFloch, Philippe; Xiang, Shuyang 3 2018 Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047 Weiser, Martin; Ghosh, Sunayana 3 2018 On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069 Pazner, Will; Persson, Per-Olof 2 2018 Adaptively weighted least squares finite element methods for partial differential equations with singularities. Zbl 1448.65233 Hayhurst, Brian; Keller, Mason; Rai, Chris; Sun, Xidian; Westphal, Chad 1 2018 A third order finite volume WENO scheme for Maxwell’s equations on tetrahedral meshes. Zbl 1386.78023 Kotovshchikova, Marina; Firsov, Dmitry; Lui, Shiu Hong 1 2018 A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091 Chaplin, Christopher; Colella, Phillip 3 2017 An immersed boundary method for rigid bodies. Zbl 1382.76191 Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar 38 2016 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266 Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 5 2016 A front-tracking shock-capturing method for two gases. Zbl 1326.76075 Vahab, Mehdi; Miller, Gregory 3 2016 A real-space Green’s function method for the numerical solution of Maxwell’s equations. Zbl 1365.65207 Lo, Boris; Minden, Victor; Colella, Phillip 2 2016 Identifying turbulent structures through topological segmentation. Zbl 1326.76047 Bremer, Peer-Timo; Gruber, Andrea; Bennett, Janine C.; Gyulassy, Attila; Kolla, Hemanth; Chen, Jacqueline H.; Grout, Ray W. 1 2016 A Nitsche-based cut finite element method for a fluid-structure interaction problem. Zbl 1326.74122 Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 41 2015 Parameter estimation by implicit sampling. Zbl 1328.86002 Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 13 2015 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110 Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 11 2015 An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 1516.65075 Trebotich, David; Graves, Daniel T. 11 2015 High-accuracy embedded boundary grid generation using the divergence theorem. Zbl 1312.65204 Schwartz, Peter; Percelay, Julie; Ligocki, Terry J.; Johansen, Hans; Graves, Daniel T.; Devendran, Dharshi; Colella, Phillip; Ateljevich, Eli 7 2015 An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere. Zbl 1326.65114 McCorquodale, Peter; Ullrich, Paul A.; Johansen, Hans; Colella, Phillip 6 2015 Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073 Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar 4 2015 An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196 Sun, Yifei; Westphal, Chad R. 1 2015 High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030 Saye, Robert I. 18 2014 A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel. Zbl 1314.65102 Ketcheson, David I.; Waheed, Umair bin 10 2014 Low Mach number fluctuating hydrodynamics of diffusively mixing fluids. Zbl 1317.76087 Donev, Aleksandar; Nonaka, Andy; Sun, Yifei; Fai, Thomas G.; Garcia, Alejandro L.; Bell, John B. 6 2014 A new class of secant-like methods for solving nonlinear systems of equations. Zbl 1311.65057 Ezquerro, José A.; Grau, Angela; Grau-Sánchez, Miquel; Hernández-Verón, Miguel A. 3 2014 Discrete nonhomogeneous and nonstationary logistic and Markov regression models for spatiotemporal data with unresolved external influences. Zbl 1314.62010 de Wiljes, Jana; Putzig, Lars; Horenko, Illia 2 2014 On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209 Kaiser, Olga; Horenko, Illia 2 2014 Renormalized reduced models for singular PDEs. Zbl 1457.65078 Stinis, Panos 7 2013 A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations. Zbl 1282.76006 Graves, Daniel T.; Colella, Phillip; Modiano, David; Johnson, Jeffrey; Sjogreen, Bjorn; Gao, Xinfeng 7 2013 Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189 Chen, Yanping; Gu, Zhendong 6 2013 On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199 Kemm, Friedemann 4 2013 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018 Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 Second-order accuracy of volume-of-fluid interface reconstruction algorithms. II: An improved constraint on the cell size. Zbl 1282.76141 Puckett, Elbridge Gerry 2 2013 Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106 Emmett, Matthew; Minion, Michael L. 114 2012 Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114 Ketcheson, David I.; Ahmadia, Aron J. 29 2012 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055 Cortez, Ricardo; Nicholas, Michael 14 2012 Analysis of persistent nonstationary time series and applications. Zbl 1275.62067 Metzner, Philipp; Putzig, Lars; Horenko, Illia 8 2012 Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086 Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François 4 2012 An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215 Miller, Gregory H.; Trebotich, David 2 2012 Discontinuous Galerkin method with the spectral deferred correction time-integration scheme and a modified moment limiter for adaptive grids. Zbl 1416.65351 Gryngarten, Leandro D.; Smith, Andrew; Menon, Suresh 1 2012 A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163 McCorquodale, Peter; Colella, Phillip 64 2011 A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131 Langston, M. Harper; Greengard, Leslie; Zorin, Denis 20 2011 Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068 Stinis, Panos 5 2011 Ensemble samplers with affine invariance. Zbl 1189.65014 Goodman, Jonathan; Weare, Jonathan 78 2010 A hybrid parareal spectral deferred corrections method. Zbl 1208.65101 Minion, Michael L. 74 2010 Implicit particle filters for data assimilation. Zbl 1229.60047 Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 32 2010 On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089 Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John 30 2010 FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226 Galvis, Juan; Sarkis, Marcus 23 2010 Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082 Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud 14 2010 An urn model associated with Jacobi polynomials. Zbl 1188.60040 Grünbaum, F. Alberto 5 2010 A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064 Puckett, Elbridge Gerry 4 2010 On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063 Puckett, Elbridge Gerry 4 2010 A cut-cell method for simulating spatial models of biochemical reaction networks in arbitrary geometries. Zbl 1186.92022 Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy 2 2010 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389 Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 30 2009 A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024 Mori, Yoichiro; Peskin, Charles S. 18 2009 A higher-order Godunov method for radiation hydrodynamics: radiation subsystem. Zbl 1180.35031 Sekora, Michael David; Stone, James M. 7 2009 Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves. Zbl 1184.35271 Ambrose, David M.; Wilkening, Jon 7 2009 Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342 Cai, Xiao-Chuan; Liu, Si; Zou, Jun 5 2009 A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014 Stinis, Panagiotis 3 2009 Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668 Barenblatt, Grigory Isaakovich 1 2009 Analysis of implicit LES methods. Zbl 1162.76024 Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B. 23 2008 A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402 Tu, Xuemin; Li, Jing 15 2008 Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134 Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003 Mathelin, Lionel; Le Maître, Olivier 27 2007 Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059 Layton, Anita T.; Minion, Michael L. 20 2007 The extended finite element method for boundary layer problems in biofilm growth. Zbl 1131.65092 Smith, Bryan G.; Vaughan, Benjamin L. jun.; Chopp, David L. 14 2007 A local corrections algorithm for solving Poisson’s equation in three dimensions. Zbl 1133.65106 McCorquodale, Peter; Colella, Phillip; Balls, Gregory T.; Baden, Scott B. 12 2007 Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021 Cogan, Nicholas G. 2 2007 On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319 Beale, J. Thomas; Layton, Anita T. 78 2006 Problem reduction, renormalization, and memory. Zbl 1108.82023 Chorin, Alexandre J.; Stinis, Panagiotis 32 2006 On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076 Hagstrom, Thomas; Zhou, Ruhai 28 2006 A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 1153.65373 Vaughan, Benjamin Leroy jun.; Smith, Bryan Gerard; Chopp, David L. 25 2006 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010 Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 23 2006 The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005 Greengard, Leslie; Lee, June-Yub; Inati, Souheil 9 2006 Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008 Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J. 5 2006 Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051 Garcia, Alejandro L. 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 2,036 Authors 19 Minion, Michael L. 19 Ruprecht, Daniel 19 Speck, Robert 16 Wu, Shulin 14 Li, Zhilin 13 Schroder, Jacob B. 11 Bell, John B. 11 Gander, Martin Jakob 11 Griffith, Boyce E. 11 Krause, Rolf H. 11 Ying, Wenjun 10 Christlieb, Andrew J. 10 Colella, Phillip 10 Saye, Robert I. 10 Tu, Xuemin 9 Falgout, Robert D. 9 Morzfeld, Matthias 9 Rokhlin, Vladimir 9 Vermeire, Brian C. 8 He, Xiaoming 8 Jin, Shi 8 Massing, André 8 Mori, Yoichiro 8 Ong, Benjamin W. 8 Scovazzi, Guglielmo 8 Stuart, Andrew M. 7 Badia, Santiago 7 Balsara, Dinshaw S. 7 Gao, Xinfeng 7 Guzik, Stephen M. 7 Jiang, Yaolin 7 Li, Lei 7 Li, Xiantao 7 Martinsson, Per-Gunnar 7 Zhou, Tao 6 Bhalla, Amneet Pal Singh 6 Bolten, Matthias 6 Colonius, Tim 6 Götschel, Sebastian 6 Greengard, Leslie F. 6 Horenko, Illia 6 Hou, Yanren 6 Layton, Anita T. 6 Marzouk, Youssef M. 6 Reich, Sebastian 6 Stinis, Panos 6 Wall, Wolfgang A. 6 Wei, Guowei 6 Zeifang, Jonas 5 Beale, J. Thomas 5 Chopp, David L. 5 Day, Marcus S. 5 Domínguez de la Iglesia, Manuel 5 Duraisamy, Karthik 5 Fu, Lin 5 Gassner, Gregor J. 5 Ketcheson, David I. 5 Lai, Mingchih 5 Lee, Dongwook 5 Lou, Jie 5 Nouy, Anthony 5 Schütz, Jochen 5 Yotov, Ivan 4 Ager, Christoph 4 Aspden, Andrew J. 4 Atzberger, Paul J. 4 Boscheri, Walter 4 Buvoli, Tommaso 4 Cai, Xiao-Chuan 4 Canuto, Claudio 4 Carrillo de la Plata, José Antonio 4 Chorin, Alexandre Joel 4 Crockatt, Michael M. 4 Dong, Haixia 4 Dumbser, Michael 4 Emmett, Matthew 4 Gunzburger, Max D. 4 Guy, Robert D. 4 Harlim, John 4 Hedayati Nasab, Siavash 4 Hesthaven, Jan S. 4 Huang, Daniel Zhengyu 4 Huang, Jingfang 4 Jiang, Shidong 4 Johansen, Hans 4 Lee, Hyesuk Kwon 4 Liang, Tian 4 Liu, Jun 4 Müller, Wolf-Christian 4 Nave, Jean-Christophe 4 Neiva, Eric 4 Nordsletten, David A. 4 Patankar, Neelesh A. 4 Peskin, Charles S. 4 Qiu, Jingmei 4 Reyes, Adam 4 Schott, Benedikt 4 Serkh, Kirill 4 Sethian, James Albert 4 Stechmann, Samuel N. ...and 1,936 more Authors all top 5 Cited in 163 Journals 242 Journal of Computational Physics 74 SIAM Journal on Scientific Computing 68 Computer Methods in Applied Mechanics and Engineering 52 Journal of Scientific Computing 33 Computers and Fluids 29 Journal of Computational and Applied Mathematics 28 Computers & Mathematics with Applications 25 Journal of Fluid Mechanics 20 Communications in Applied Mathematics and Computational Science 18 Communications in Computational Physics 17 Applied Numerical Mathematics 16 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Engineering 14 Computing and Visualization in Science 12 SIAM Journal on Numerical Analysis 12 SIAM/ASA Journal on Uncertainty Quantification 10 Computer Physics Communications 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Mathematics of Computation 9 Physica D 9 Multiscale Modeling & Simulation 9 Journal of Cosmology and Astroparticle Physics 8 Statistics and Computing 7 Mathematical Methods in the Applied Sciences 7 BIT 7 Mathematics and Computers in Simulation 7 Numerische Mathematik 7 Numerical Algorithms 7 Chaos 7 Communications on Applied Mathematics and Computation 6 Communications on Pure and Applied Mathematics 6 Journal of Mathematical Biology 6 Numerical Linear Algebra with Applications 6 Combustion Theory and Modelling 6 SIAM Journal on Applied Dynamical Systems 5 Journal of Statistical Physics 5 Bulletin of Mathematical Biology 5 Computational Mechanics 5 International Journal of Computer Mathematics 5 Engineering Analysis with Boundary Elements 5 Computational Geosciences 4 Applicable Analysis 4 Classical and Quantum Gravity 4 ACM Transactions on Mathematical Software 4 Numerical Methods for Partial Differential Equations 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Journal on Applied Mathematics 4 ETNA. Electronic Transactions on Numerical Analysis 4 Advances in Computational Mathematics 3 Inverse Problems 3 Journal of Engineering Mathematics 3 Studies in Applied Mathematics 3 Statistical Science 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 Applied and Computational Harmonic Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Acta Numerica 3 Advances in Applied Mathematics and Mechanics 3 Journal of Applied Analysis and Computation 2 Archive for Rational Mechanics and Analysis 2 General Relativity and Gravitation 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Physics Reports 2 Scandinavian Journal of Statistics 2 Theoretical and Computational Fluid Dynamics 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 SIAM Review 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Archives of Computational Methods in Engineering 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 International Journal of Computational Methods 2 Journal of Statistical Mechanics: Theory and Experiment 2 Inverse Problems and Imaging 2 GEM - International Journal on Geomathematics 2 Journal of Theoretical Biology 2 Research in the Mathematical Sciences 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Results in Applied Mathematics 2 Journal of Computational Physics: X 1 International Journal of Modern Physics A 1 Acta Mechanica 1 Advances in Applied Probability 1 Nonlinearity 1 Physica A 1 Physics Letters. B 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Optimization 1 Automatica 1 Calcolo ...and 63 more Journals all top 5 Cited in 40 Fields 787 Numerical analysis (65-XX) 398 Fluid mechanics (76-XX) 304 Partial differential equations (35-XX) 95 Mechanics of deformable solids (74-XX) 91 Statistics (62-XX) 80 Probability theory and stochastic processes (60-XX) 58 Statistical mechanics, structure of matter (82-XX) 58 Biology and other natural sciences (92-XX) 40 Ordinary differential equations (34-XX) 29 Computer science (68-XX) 27 Optics, electromagnetic theory (78-XX) 27 Geophysics (86-XX) 23 Relativity and gravitational theory (83-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Systems theory; control (93-XX) 16 Integral equations (45-XX) 13 Quantum theory (81-XX) 11 Mechanics of particles and systems (70-XX) 11 Astronomy and astrophysics (85-XX) 11 Operations research, mathematical programming (90-XX) 10 Approximations and expansions (41-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 7 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) Citations by Year