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: Indexed cover-to-cover Documents Indexed: 114 Publications (since 2006) References Indexed: 21 Publications with 687 References. all top 5 Latest Issues 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 4 Chorin, Alexandre Joel 4 Donev, Aleksandar 4 Graves, Daniel T. 3 Chopp, David L. 3 Garcia, Alejandro L. 3 Ketcheson, David I. 3 Klein, Rupert 3 McCorquodale, Peter 3 Minion, Michael L. 3 Morzfeld, Matthias 3 Nonaka, Andy 3 Puckett, Elbridge Gerry 3 Saye, Robert I. 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 Greengard, Leslie F. 2 Johansen, Hans 2 Kotovshchikova, Marina 2 Layton, Anita T. 2 LeVeque, Randall J. 2 Lo, Boris 2 Lui, Shiu Hong 2 Miller, Gregory Hale 2 Ong, Benjamin W. 2 Putzig, Lars 2 Schwartz, Peter O. 2 Smith, Bryan Gerard 2 Stinis, Panagiotis 2 Stinis, Panos 2 Strychalski, Wanda 2 Tygert, Mark 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 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 Blouza, Adel 1 Boudin, Laurent 1 Brandejsky, Adrien 1 Bremer, Peer-Timo 1 Cai, Xiao-Chuan 1 Cameron, Maria Kourkina 1 Cancès, Eric 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 Saporta, Benoîte 1 de Wiljes, Jana 1 Devendran, Dharshi 1 Dimnet, Eric 1 Djurdjevac, Ana 1 Draxl, Claudia 1 Dufour, François 1 Elston, Timothy C. 1 Emmett, Matthew 1 Everschore-Sitte, Karin 1 Ezquerro, José Antonio 1 Fagnan, Kirsten 1 Fai, Thomas G. 1 Galvis, Juan 1 Gao, Xinfeng 1 Garabedian, Paul Roesel 1 Ghosh, Sunayana 1 Goodman, Jonathan B. 1 Grau-Sánchez, Miquel 1 Grau, Àngela 1 Grcar, Joseph F. 1 Griffith, Boyce E. ...and 127 more Authors all top 5 Fields 92 Numerical analysis (65-XX) 44 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 10 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 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 893 times in 753 Documents Cited by ▼ Year ▼ Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106Emmett, Matthew; Minion, Michael L. 76 2012 On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319Beale, J. Thomas; Layton, Anita T. 64 2006 A hybrid parareal spectral deferred corrections method. Zbl 1208.65101Minion, Michael L. 52 2010 A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163McCorquodale, Peter; Colella, Phillip 44 2011 Ensemble samplers with affine invariance. Zbl 1189.65014Goodman, Jonathan; Weare, Jonathan 42 2010 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 28 2010 An immersed boundary method for rigid bodies. Zbl 1382.76191Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar 27 2016 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 25 2006 A Nitsche-based cut finite element method for a fluid-structure interaction problem. Zbl 1326.74122Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 24 2015 A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 1153.65373Vaughan, Benjamin Leroy jun.; Smith, Bryan Gerard; Chopp, David L. 22 2006 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 22 2009 On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076Hagstrom, Thomas; Zhou, Ruhai 22 2006 On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John 21 2010 FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226Galvis, Juan; Sarkis, Marcus 21 2010 Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114Ketcheson, David I.; Ahmadia, Aron J. 20 2012 Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003Mathelin, Lionel; Le Maître, Olivier 20 2007 Analysis of implicit LES methods. Zbl 1162.76024Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B. 19 2008 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 18 2006 Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059Layton, Anita T.; Minion, Michael L. 18 2007 A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131Langston, M. Harper; Greengard, Leslie; Zorin, Denis 16 2011 A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024Mori, Yoichiro; Peskin, Charles S. 14 2009 The extended finite element method for boundary layer problems in biofilm growth. Zbl 1131.65092Smith, Bryan G.; Vaughan, Benjamin L. jun.; Chopp, David L. 12 2007 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055Cortez, Ricardo; Nicholas, Michael 12 2012 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 11 2015 A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng 11 2020 Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud 10 2010 High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030Saye, Robert I. 10 2014 A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402Tu, Xuemin; Li, Jing 10 2008 A local corrections algorithm for solving Poisson’s equation in three dimensions. Zbl 1133.65106McCorquodale, Peter; Colella, Phillip; Balls, Gregory T.; Baden, Scott B. 9 2007 Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves. Zbl 1184.35271Ambrose, David M.; Wilkening, Jon 7 2009 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 7 2015 The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005Greengard, Leslie; Lee, June-Yub; Inati, Souheil 7 2006 Renormalized reduced models for singular PDEs. Zbl 1457.65078Stinis, Panos 7 2013 A higher-order Godunov method for radiation hydrodynamics: radiation subsystem. Zbl 1180.35031Sekora, Michael David; Stone, James M. 6 2009 Analysis of persistent nonstationary time series and applications. Zbl 1275.62067Metzner, Philipp; Putzig, Lars; Horenko, Illia 6 2012 Low Mach number fluctuating hydrodynamics of diffusively mixing fluids. Zbl 1317.76087Donev, Aleksandar; Nonaka, Andy; Sun, Yifei; Fai, Thomas G.; Garcia, Alejandro L.; Bell, John B. 6 2014 Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189Chen, Yanping; Gu, Zhendong 6 2013 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 On the convergence of spectral deferred correction methods. Zbl 1435.65104Causley, Mathew; Seal, David 6 2019 Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068Stinis, Panos 5 2011 A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel. Zbl 1314.65102Ketcheson, David I.; Waheed, Umair bin 5 2014 Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342Cai, Xiao-Chuan; Liu, Si; Zou, Jun 5 2009 Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051Garcia, Alejandro L. 5 2006 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094Vater, Stefan; Klein, Rupert 5 2018 An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034Hao, Wenrui; Harlim, John 5 2018 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 4 2016 An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 06425515Trebotich, David; Graves, Daniel T. 4 2015 High-accuracy embedded boundary grid generation using the divergence theorem. Zbl 1312.65204Schwartz, Peter; Percelay, Julie; Ligocki, Terry J.; Johansen, Hans; Graves, Daniel T.; Devendran, Dharshi; Colella, Phillip; Ateljevich, Eli 4 2015 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 1175.65134Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François 4 2012 An urn model associated with Jacobi polynomials. Zbl 1188.60040Grünbaum, F. Alberto 4 2010 On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199Kemm, Friedemann 4 2013 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141Tzou, Chung-Nan; Stechmann, Samuel N. 3 2019 A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014Stinis, Panagiotis 3 2009 A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064Puckett, Elbridge Gerry 3 2010 On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063Puckett, Elbridge Gerry 3 2010 A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091Chaplin, Christopher; Colella, Phillip 3 2017 A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations. Zbl 1282.76006Graves, Daniel T.; Colella, Phillip; Modiano, David; Johnson, Jeffrey; Sjogreen, Bjorn; Gao, Xinfeng 3 2013 A front-tracking shock-capturing method for two gases. Zbl 1326.76075Vahab, Mehdi; Miller, Gregory 3 2016 Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012Motheau, Emmanuel; Wakefield, John 3 2020 Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176Saye, Robert 3 2020 Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164Cameron, Maria; Yang, Shuo 2 2019 Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027Saye, Robert I. 2 2019 Discrete nonhomogeneous and nonstationary logistic and Markov regression models for spatiotemporal data with unresolved external influences. Zbl 1314.62010de Wiljes, Jana; Putzig, Lars; Horenko, Illia 2 2014 Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J. 2 2006 Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021Cogan, Nicholas G. 2 2007 An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215Miller, Gregory H.; Trebotich, David 2 2012 A cut-cell method for simulating spatial models of biochemical reaction networks in arbitrary geometries. Zbl 1186.92022Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy 2 2010 A real-space Green’s function method for the numerical solution of Maxwell’s equations. Zbl 1365.65207Lo, Boris; Minden, Victor; Colella, Phillip 2 2016 Second-order accuracy of volume-of-fluid interface reconstruction algorithms. II: An improved constraint on the cell size. Zbl 1282.76141Puckett, Elbridge Gerry 2 2013 An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere. Zbl 1326.65114McCorquodale, Peter; Ullrich, Paul A.; Johansen, Hans; Colella, Phillip 2 2015 Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar 2 2015 A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063LeFloch, Philippe; Xiang, Shuyang 2 2018 Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model. Zbl 1434.35207Kang, Tong; Wang, Ran; Zhang, Huai 1 2019 From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof 1 2021 Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen 1 2021 Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668Barenblatt, Grigory Isaakovich 1 2009 Discontinuous Galerkin method with the spectral deferred correction time-integration scheme and a modified moment limiter for adaptive grids. Zbl 1416.65351Gryngarten, Leandro D.; Smith, Andrew; Menon, Suresh 1 2012 An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196Sun, Yifei; Westphal, Chad R. 1 2015 On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209Kaiser, Olga; Horenko, Illia 1 2014 Identifying turbulent structures through topological segmentation. Zbl 1326.76047Bremer, 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 1448.65233Hayhurst, Brian; Keller, Mason; Rai, Chris; Sun, Xidian; Westphal, Chad 1 2018 On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069Pazner, Will; Persson, Per-Olof 1 2018 Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047Weiser, Martin; Ghosh, Sunayana 1 2018 On a scalable nonparametric denoising of time series signals. Zbl 1385.37084Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia 1 2018 Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250Kavouklis, Chris; Colella, Phillip 1 2019 Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I. 1 2021 Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg 1 2021 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof 1 2021 Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen 1 2021 Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I. 1 2021 Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg 1 2021 A stochastic version of Stein variational gradient descent for efficient sampling. Zbl 1444.62043Li, Lei; Li, Yingzhou; Liu, Jian-Guo; Liu, Zibu; Lu, Jianfeng 11 2020 Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012Motheau, Emmanuel; Wakefield, John 3 2020 Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176Saye, Robert 3 2020 Fast optical absorption spectra calculations for periodic solid state systems. Zbl 1465.35346Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao 1 2020 On the convergence of spectral deferred correction methods. Zbl 1435.65104Causley, Mathew; Seal, David 6 2019 Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141Tzou, Chung-Nan; Stechmann, Samuel N. 3 2019 Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164Cameron, Maria; Yang, Shuo 2 2019 Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027Saye, Robert I. 2 2019 Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model. Zbl 1434.35207Kang, Tong; Wang, Ran; Zhang, Huai 1 2019 Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250Kavouklis, Chris; Colella, Phillip 1 2019 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094Vater, Stefan; Klein, Rupert 5 2018 An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034Hao, Wenrui; Harlim, John 5 2018 A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063LeFloch, Philippe; Xiang, Shuyang 2 2018 Adaptively weighted least squares finite element methods for partial differential equations with singularities. Zbl 1448.65233Hayhurst, Brian; Keller, Mason; Rai, Chris; Sun, Xidian; Westphal, Chad 1 2018 On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069Pazner, Will; Persson, Per-Olof 1 2018 Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047Weiser, Martin; Ghosh, Sunayana 1 2018 On a scalable nonparametric denoising of time series signals. Zbl 1385.37084Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia 1 2018 A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091Chaplin, Christopher; Colella, Phillip 3 2017 An immersed boundary method for rigid bodies. Zbl 1382.76191Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar 27 2016 An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Zbl 1382.65266Berthon, Christophe; Moebs, Guy; Sarazin-Desbois, Céline; Turpault, Rodolphe 4 2016 A front-tracking shock-capturing method for two gases. Zbl 1326.76075Vahab, Mehdi; Miller, Gregory 3 2016 A real-space Green’s function method for the numerical solution of Maxwell’s equations. Zbl 1365.65207Lo, Boris; Minden, Victor; Colella, Phillip 2 2016 Identifying turbulent structures through topological segmentation. Zbl 1326.76047Bremer, 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 1326.74122Massing, André; Larson, Mats G.; Logg, Anders; Rognes, Marie E. 24 2015 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 11 2015 Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J. 7 2015 An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 06425515Trebotich, David; Graves, Daniel T. 4 2015 High-accuracy embedded boundary grid generation using the divergence theorem. Zbl 1312.65204Schwartz, Peter; Percelay, Julie; Ligocki, Terry J.; Johansen, Hans; Graves, Daniel T.; Devendran, Dharshi; Colella, Phillip; Ateljevich, Eli 4 2015 An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere. Zbl 1326.65114McCorquodale, Peter; Ullrich, Paul A.; Johansen, Hans; Colella, Phillip 2 2015 Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar 2 2015 An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196Sun, Yifei; Westphal, Chad R. 1 2015 High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030Saye, Robert I. 10 2014 Low Mach number fluctuating hydrodynamics of diffusively mixing fluids. Zbl 1317.76087Donev, Aleksandar; Nonaka, Andy; Sun, Yifei; Fai, Thomas G.; Garcia, Alejandro L.; Bell, John B. 6 2014 A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel. Zbl 1314.65102Ketcheson, David I.; Waheed, Umair bin 5 2014 Discrete nonhomogeneous and nonstationary logistic and Markov regression models for spatiotemporal data with unresolved external influences. Zbl 1314.62010de Wiljes, Jana; Putzig, Lars; Horenko, Illia 2 2014 On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209Kaiser, Olga; Horenko, Illia 1 2014 Renormalized reduced models for singular PDEs. Zbl 1457.65078Stinis, Panos 7 2013 Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189Chen, Yanping; Gu, Zhendong 6 2013 On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199Kemm, Friedemann 4 2013 Computational models of material interfaces for the study of extracorporeal shock wave therapy. Zbl 1278.92018Fagnan, Kirsten; LeVeque, Randall J.; Matula, Thomas J. 4 2013 A Cartesian grid embedded boundary method for the compressible Navier-Stokes equations. Zbl 1282.76006Graves, Daniel T.; Colella, Phillip; Modiano, David; Johnson, Jeffrey; Sjogreen, Bjorn; Gao, Xinfeng 3 2013 Second-order accuracy of volume-of-fluid interface reconstruction algorithms. II: An improved constraint on the cell size. Zbl 1282.76141Puckett, Elbridge Gerry 2 2013 Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106Emmett, Matthew; Minion, Michael L. 76 2012 Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114Ketcheson, David I.; Ahmadia, Aron J. 20 2012 Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055Cortez, Ricardo; Nicholas, Michael 12 2012 Analysis of persistent nonstationary time series and applications. Zbl 1275.62067Metzner, Philipp; Putzig, Lars; Horenko, Illia 6 2012 Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François 4 2012 An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215Miller, 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 1416.65351Gryngarten, Leandro D.; Smith, Andrew; Menon, Suresh 1 2012 A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163McCorquodale, Peter; Colella, Phillip 44 2011 A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131Langston, M. Harper; Greengard, Leslie; Zorin, Denis 16 2011 Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068Stinis, Panos 5 2011 A hybrid parareal spectral deferred corrections method. Zbl 1208.65101Minion, Michael L. 52 2010 Ensemble samplers with affine invariance. Zbl 1189.65014Goodman, Jonathan; Weare, Jonathan 42 2010 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 28 2010 On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John 21 2010 FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226Galvis, Juan; Sarkis, Marcus 21 2010 Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud 10 2010 An urn model associated with Jacobi polynomials. Zbl 1188.60040Grünbaum, F. Alberto 4 2010 A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064Puckett, Elbridge Gerry 3 2010 On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063Puckett, Elbridge Gerry 3 2010 A cut-cell method for simulating spatial models of biochemical reaction networks in arbitrary geometries. Zbl 1186.92022Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy 2 2010 Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei 22 2009 A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes. Zbl 1182.92024Mori, Yoichiro; Peskin, Charles S. 14 2009 Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves. Zbl 1184.35271Ambrose, David M.; Wilkening, Jon 7 2009 A higher-order Godunov method for radiation hydrodynamics: radiation subsystem. Zbl 1180.35031Sekora, Michael David; Stone, James M. 6 2009 Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342Cai, Xiao-Chuan; Liu, Si; Zou, Jun 5 2009 A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014Stinis, Panagiotis 3 2009 Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668Barenblatt, Grigory Isaakovich 1 2009 Analysis of implicit LES methods. Zbl 1162.76024Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B. 19 2008 A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402Tu, Xuemin; Li, Jing 10 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 1175.65134Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin 4 2008 Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003Mathelin, Lionel; Le Maître, Olivier 20 2007 Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059Layton, Anita T.; Minion, Michael L. 18 2007 The extended finite element method for boundary layer problems in biofilm growth. Zbl 1131.65092Smith, Bryan G.; Vaughan, Benjamin L. jun.; Chopp, David L. 12 2007 A local corrections algorithm for solving Poisson’s equation in three dimensions. Zbl 1133.65106McCorquodale, Peter; Colella, Phillip; Balls, Gregory T.; Baden, Scott B. 9 2007 Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021Cogan, Nicholas G. 2 2007 On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319Beale, J. Thomas; Layton, Anita T. 64 2006 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 25 2006 A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 1153.65373Vaughan, Benjamin Leroy jun.; Smith, Bryan Gerard; Chopp, David L. 22 2006 On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076Hagstrom, Thomas; Zhou, Ruhai 22 2006 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 18 2006 The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005Greengard, Leslie; Lee, June-Yub; Inati, Souheil 7 2006 Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051Garcia, Alejandro L. 5 2006 Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J. 2 2006 all cited Publications top 5 cited Publications all top 5 Cited by 1,406 Authors 15 Wu, Shulin 13 Li, Zhilin 13 Minion, Michael L. 10 Colella, Phillip 10 Ruprecht, Daniel 9 Christlieb, Andrew J. 9 Gander, Martin Jakob 9 Griffith, Boyce E. 9 Morzfeld, Matthias 8 Bell, John B. 8 He, Xiaoming 8 Rokhlin, Vladimir 7 Krause, Rolf H. 7 Li, Xiantao 7 Mori, Yoichiro 7 Schroder, Jacob B. 7 Speck, Robert 7 Tu, Xuemin 7 Vermeire, Brian C. 7 Ying, Wenjun 7 Zhou, Tao 6 Badia, Santiago 6 Falgout, Robert D. 6 Jiang, Yaolin 6 Layton, Anita T. 6 Marzouk, Youssef M. 6 Massing, André 6 Saye, Robert I. 6 Stuart, Andrew M. 6 Wei, Guowei 5 Balsara, Dinshaw S. 5 Beale, J. Thomas 5 Bhalla, Amneet Pal Singh 5 Chopp, David L. 5 Colonius, Tim 5 Day, Marcus S. 5 Duraisamy, Karthik 5 Greengard, Leslie F. 5 Horenko, Illia 5 Hou, Yanren 5 Martinsson, Per-Gunnar 5 Nouy, Anthony 5 Ong, Benjamin W. 5 Stinis, Panos 4 Aspden, Andrew J. 4 Chorin, Alexandre Joel 4 Domínguez de la Iglesia, Manuel 4 Götschel, Sebastian 4 Gunzburger, Max D. 4 Hesthaven, Jan S. 4 Huang, Jingfang 4 Lai, Mingchih 4 Lee, Hyesuk Kwon 4 Nordsletten, David A. 4 Peskin, Charles S. 4 Qiu, Jingmei 4 Schütz, Jochen 4 Tygert, Mark 4 Venturi, Daniele 4 Wilkening, Jon A. 4 Xia, Kelin 4 Yotov, Ivan 4 Zeifang, Jonas 4 Zhu, Yuanran 3 Ambrose, David M. 3 Atzberger, Paul J. 3 Azaïs, Romain 3 Bao, Feng 3 Biros, George 3 Bu, Sunyoung 3 Cai, Xiao-Chuan 3 Cao, Yanzhao 3 Capistrán, Marcos A. 3 Chen, Yanping 3 Crockatt, Michael M. 3 Del Razo, Mauricio J. 3 Deng, Xiaomao 3 Duddu, Ravindra 3 Emmett, Matthew 3 Gaffney, Eamonn A. 3 Gallo, Mirko 3 Grünbaum, Francisco Alberto 3 Guy, Robert D. 3 Halpern, Laurence 3 Hao, Wenrui 3 Harlim, John 3 Hedayati Nasab, Siavash 3 Hendrickson, Kelli 3 Hittinger, Jeffrey A. F. 3 Jadamba, Baasansuren 3 Jiang, Shidong 3 Kadioglu, Samet Y. 3 Karabasov, Sergey A. 3 Khan, Akhtar Ali 3 Law, Kody J. H. 3 Lee, Dongwook 3 LeVeque, Randall J. 3 Liska, Sebastian 3 Liu, Chun 3 Liu, Jiankang ...and 1,306 more Authors all top 5 Cited in 132 Journals 182 Journal of Computational Physics 55 SIAM Journal on Scientific Computing 47 Computer Methods in Applied Mechanics and Engineering 42 Journal of Scientific Computing 27 Computers and Fluids 23 Journal of Fluid Mechanics 22 Computers & Mathematics with Applications 22 Journal of Computational and Applied Mathematics 12 Applied Numerical Mathematics 12 Communications in Computational Physics 11 Applied Mathematics and Computation 9 International Journal for Numerical Methods in Engineering 9 Communications in Applied Mathematics and Computational Science 8 Mathematics of Computation 8 SIAM Journal on Numerical Analysis 8 Physica D 8 SIAM/ASA Journal on Uncertainty Quantification 7 Multiscale Modeling & Simulation 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Statistics and Computing 6 Journal of Mathematical Biology 6 Mathematical Methods in the Applied Sciences 6 Computing and Visualization in Science 5 Bulletin of Mathematical Biology 5 BIT 5 Mathematics and Computers in Simulation 5 Numerische Mathematik 5 Computational Mechanics 5 International Journal of Computer Mathematics 5 Engineering Analysis with Boundary Elements 5 Journal of Cosmology and Astroparticle Physics 4 Communications on Pure and Applied Mathematics 4 Journal of Statistical Physics 4 Numerical Algorithms 4 Proceedings of the National Academy of Sciences of the United States of America 4 Advances in Computational Mathematics 4 Chaos 4 SIAM Journal on Applied Dynamical Systems 3 Applicable Analysis 3 Journal of Engineering Mathematics 3 Applied Mathematical Modelling 3 Applied and Computational Harmonic Analysis 3 Computational Geosciences 3 Combustion Theory and Modelling 3 Inverse Problems and Imaging 3 Advances in Applied Mathematics and Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Physics Reports 2 Theoretical and Computational Fluid Dynamics 2 ACM Transactions on Mathematical Software 2 Quarterly of Applied Mathematics 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Numerical Linear Algebra with Applications 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Archives of Computational Methods in Engineering 2 International Journal of Computational Methods 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 1 Advances in Applied Probability 1 Classical and Quantum Gravity 1 General Relativity and Gravitation 1 Inverse Problems 1 Physica A 1 Physics Letters. B 1 Scandinavian Journal of Statistics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Optimization 1 Journal of Applied Probability 1 Journal of Statistical Planning and Inference 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Statistical Science 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Computational Neuroscience 1 Journal of Vibration and Control 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings ...and 32 more Journals all top 5 Cited in 38 Fields 536 Numerical analysis (65-XX) 286 Fluid mechanics (76-XX) 201 Partial differential equations (35-XX) 68 Mechanics of deformable solids (74-XX) 61 Statistics (62-XX) 51 Probability theory and stochastic processes (60-XX) 46 Biology and other natural sciences (92-XX) 40 Statistical mechanics, structure of matter (82-XX) 29 Ordinary differential equations (34-XX) 21 Optics, electromagnetic theory (78-XX) 20 Geophysics (86-XX) 19 Computer science (68-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Operations research, mathematical programming (90-XX) 9 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Relativity and gravitational theory (83-XX) 7 Approximations and expansions (41-XX) 7 Mechanics of particles and systems (70-XX) 7 Astronomy and astrophysics (85-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 5 Quantum theory (81-XX) 4 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) Citations by Year