## 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

85 Publications have been cited 838 times in 706 Documents Cited by Year
Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106
Emmett, Matthew; Minion, Michael L.
2012
On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319
Beale, J. Thomas; Layton, Anita T.
2006
A hybrid parareal spectral deferred corrections method. Zbl 1208.65101
Minion, Michael L.
2010
A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163
McCorquodale, Peter; Colella, Phillip
2011
Ensemble samplers with affine invariance. Zbl 1189.65014
Goodman, Jonathan; Weare, Jonathan
2010
An immersed boundary method for rigid bodies. Zbl 1382.76191
Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar
2016
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
2010
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.
2015
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
2006
Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389
Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei
2009
On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
2006
FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226
Galvis, Juan; Sarkis, Marcus
2010
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.
2006
Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003
Mathelin, Lionel; Le Maître, Olivier
2007
Analysis of implicit LES methods. Zbl 1162.76024
Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B.
2008
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2006
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
2010
Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059
Layton, Anita T.; Minion, Michael L.
2007
Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114
Ketcheson, David I.; Ahmadia, Aron J.
2012
A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131
Langston, M. Harper; Greengard, Leslie; Zorin, Denis
2011
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.
2009
Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055
Cortez, Ricardo; Nicholas, Michael
2012
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.
2007
Parameter estimation by implicit sampling. Zbl 1328.86002
Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J.
2015
Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082
Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud
2010
A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402
Tu, Xuemin; Li, Jing
2008
High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030
Saye, Robert I.
2014
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.
2007
The fast sinc transform and image reconstruction from nonuniform samples in $$k$$-space. Zbl 1106.94005
Greengard, Leslie; Lee, June-Yub; Inati, Souheil
2006
Global paths of time-periodic solutions of the Benjamin-Ono equation connecting pairs of traveling waves. Zbl 1184.35271
Ambrose, David M.; Wilkening, Jon
2009
Renormalized reduced models for singular PDEs. Zbl 1457.65078
Stinis, Panos
2013
Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110
Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J.
2015
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
2020
Analysis of persistent nonstationary time series and applications. Zbl 1275.62067
Metzner, Philipp; Putzig, Lars; Horenko, Illia
2012
On the convergence of spectral deferred correction methods. Zbl 1435.65104
Causley, Mathew; Seal, David
2019
Sekora, Michael David; Stone, James M.
2009
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
2013
Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051
Garcia, Alejandro L.
2006
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
2018
Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068
Stinis, Panos
2011
Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342
Cai, Xiao-Chuan; Liu, Si; Zou, Jun
2009
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
2018
On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199
Kemm, Friedemann
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.
2013
An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 06425515
Trebotich, David; Graves, Daniel T.
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
2015
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
2014
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
2008
Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086
Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François
2012
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
2013
A front-tracking shock-capturing method for two gases. Zbl 1326.76075
Vahab, Mehdi; Miller, Gregory
2016
A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064
Puckett, Elbridge Gerry
2010
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.
2014
A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094
Vater, Stefan; Klein, Rupert
2018
An urn model associated with Jacobi polynomials. Zbl 1188.60040
Grünbaum, F. Alberto
2010
On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063
Puckett, Elbridge Gerry
2010
A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091
Chaplin, Christopher; Colella, Phillip
2017
Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141
Tzou, Chung-Nan; Stechmann, Samuel N.
2019
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
2016
A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014
Stinis, Panagiotis
2009
Second-order accuracy of volume-of-fluid interface reconstruction algorithms. II: An improved constraint on the cell size. Zbl 1282.76141
Puckett, Elbridge Gerry
2013
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
2015
Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008
Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J.
2006
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
2014
Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012
Motheau, Emmanuel; Wakefield, John
2020
A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063
LeFloch, Philippe; Xiang, Shuyang
2018
Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021
Cogan, Nicholas G.
2007
A cut-cell method for simulating spatial models of biochemical reaction networks in arbitrary geometries. Zbl 1186.92022
Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy
2010
Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176
Saye, Robert
2020
A real-space Green’s function method for the numerical solution of Maxwell’s equations. Zbl 1365.65207
Lo, Boris; Minden, Victor; Colella, Phillip
2016
An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215
Miller, Gregory H.; Trebotich, David
2012
Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073
Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar
2015
An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196
2015
On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209
Kaiser, Olga; Horenko, Illia
2014
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
2020
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
2018
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069
2018
Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047
Weiser, Martin; Ghosh, Sunayana
2018
On a scalable nonparametric denoising of time series signals. Zbl 1385.37084
Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia
2018
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
2012
Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250
Kavouklis, Chris; Colella, Phillip
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
2019
Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027
Saye, Robert I.
2019
From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045
Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof
2021
Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668
Barenblatt, Grigory Isaakovich
2009
From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045
Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof
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
2020
Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012
Motheau, Emmanuel; Wakefield, John
2020
Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176
Saye, Robert
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
2020
On the convergence of spectral deferred correction methods. Zbl 1435.65104
Causley, Mathew; Seal, David
2019
Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141
Tzou, Chung-Nan; Stechmann, Samuel N.
2019
Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250
Kavouklis, Chris; Colella, Phillip
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
2019
Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027
Saye, Robert I.
2019
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
2018
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
2018
A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094
Vater, Stefan; Klein, Rupert
2018
A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063
LeFloch, Philippe; Xiang, Shuyang
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
2018
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069
2018
Theoretically optimal inexact spectral deferred correction methods. Zbl 1446.65047
Weiser, Martin; Ghosh, Sunayana
2018
On a scalable nonparametric denoising of time series signals. Zbl 1385.37084
Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia
2018
A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091
Chaplin, Christopher; Colella, Phillip
2017
An immersed boundary method for rigid bodies. Zbl 1382.76191
Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar
2016
A front-tracking shock-capturing method for two gases. Zbl 1326.76075
Vahab, Mehdi; Miller, Gregory
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
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
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.
2015
Parameter estimation by implicit sampling. Zbl 1328.86002
Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J.
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.
2015
An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 06425515
Trebotich, David; Graves, Daniel T.
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
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
2015
Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073
Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar
2015
An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196
2015
High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030
Saye, Robert I.
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
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.
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
2014
On inference of statistical regression models for extreme events based on incomplete observation data. Zbl 1328.62209
Kaiser, Olga; Horenko, Illia
2014
Renormalized reduced models for singular PDEs. Zbl 1457.65078
Stinis, Panos
2013
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
2013
On the origin of divergence errors in MHD simulations and consequences for numerical schemes. Zbl 1282.76199
Kemm, Friedemann
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.
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
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
2013
Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106
Emmett, Matthew; Minion, Michael L.
2012
Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114
Ketcheson, David I.; Ahmadia, Aron J.
2012
Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055
Cortez, Ricardo; Nicholas, Michael
2012
Analysis of persistent nonstationary time series and applications. Zbl 1275.62067
Metzner, Philipp; Putzig, Lars; Horenko, Illia
2012
Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086
Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François
2012
An embedded boundary method for the Navier-Stokes equations on a time-dependent domain. Zbl 1273.35215
Miller, Gregory H.; Trebotich, David
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
2012
A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163
McCorquodale, Peter; Colella, Phillip
2011
A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131
Langston, M. Harper; Greengard, Leslie; Zorin, Denis
2011
Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068
Stinis, Panos
2011
A hybrid parareal spectral deferred corrections method. Zbl 1208.65101
Minion, Michael L.
2010
Ensemble samplers with affine invariance. Zbl 1189.65014
Goodman, Jonathan; Weare, Jonathan
2010
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
2010
FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226
Galvis, Juan; Sarkis, Marcus
2010
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
2010
Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082
Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud
2010
A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064
Puckett, Elbridge Gerry
2010
An urn model associated with Jacobi polynomials. Zbl 1188.60040
Grünbaum, F. Alberto
2010
On the second-order accuracy of volume-of-fluid interface reconstruction algorithms: convergence in the max norm. Zbl 1277.76063
Puckett, Elbridge Gerry
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
2010
Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389
Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei
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.
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
2009
Sekora, Michael David; Stone, James M.
2009
Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342
Cai, Xiao-Chuan; Liu, Si; Zou, Jun
2009
A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014
Stinis, Panagiotis
2009
Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668
Barenblatt, Grigory Isaakovich
2009
Analysis of implicit LES methods. Zbl 1162.76024
Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B.
2008
A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402
Tu, Xuemin; Li, Jing
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
2008
Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003
Mathelin, Lionel; Le Maître, Olivier
2007
Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059
Layton, Anita T.; Minion, Michael L.
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.
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.
2007
Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021
Cogan, Nicholas G.
2007
On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319
Beale, J. Thomas; Layton, Anita T.
2006
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
2006
On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
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.
2006
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2006
The fast sinc transform and image reconstruction from nonuniform samples in $$k$$-space. Zbl 1106.94005
Greengard, Leslie; Lee, June-Yub; Inati, Souheil
2006
Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051
Garcia, Alejandro L.
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.
2006
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### Cited by 1,306 Authors

 14 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 6 Badia, Santiago 6 Falgout, Robert D. 6 Jiang, Yaolin 6 Layton, Anita T. 6 Marzouk, Youssef M. 6 Massing, André 6 Vermeire, Brian C. 6 Wei, Guowei 6 Ying, Wenjun 6 Zhou, Tao 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 Saye, Robert I. 5 Stinis, Panos 4 Aspden, Andrew J. 4 Balsara, Dinshaw S. 4 Chorin, Alexandre Joel 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 Tygert, Mark 4 Venturi, Daniele 4 Wilkening, Jon A. 4 Xia, Kelin 4 Yotov, Ivan 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 Crockatt, Michael M. 3 Del Razo, Mauricio J. 3 Deng, Xiaomao 3 Domínguez de la Iglesia, Manuel 3 Duddu, Ravindra 3 Emmett, Matthew 3 Gaffney, Eamonn A. 3 Guy, Robert D. 3 Halpern, Laurence 3 Hao, Wenrui 3 Harlim, John 3 Hendrickson, Kelli 3 Hittinger, Jeffrey A. F. 3 Jiang, Shidong 3 Kadioglu, Samet Y. 3 Karabasov, Sergey A. 3 Lee, Dongwook 3 LeVeque, Randall J. 3 Liska, Sebastian 3 Liu, Chun 3 Liu, Jiankang 3 Markesteijn, Anton 3 Maroulas, Vasileios 3 Müller, Wolf-Christian 3 Nave, Jean-Christophe 3 Neiva, Eric 3 Parish, Eric J. 3 Patankar, Neelesh A. 3 Plotnikov, M. Yu. 3 Reyes, Adam 3 Roman, Sophie ...and 1,206 more Authors
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### Cited in 122 Journals

 173 Journal of Computational Physics 54 SIAM Journal on Scientific Computing 46 Computer Methods in Applied Mechanics and Engineering 37 Journal of Scientific Computing 27 Computers and Fluids 22 Journal of Computational and Applied Mathematics 21 Journal of Fluid Mechanics 19 Computers & Mathematics with Applications 12 Applied Numerical Mathematics 11 Applied Mathematics and Computation 10 Communications in Computational Physics 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 7 Physica D 7 Statistics and Computing 7 SIAM/ASA Journal on Uncertainty Quantification 6 Journal of Mathematical Biology 6 Mathematical Methods in the Applied Sciences 6 Computing and Visualization in Science 6 Multiscale Modeling & Simulation 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 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 Journal of Cosmology and Astroparticle Physics 3 Applied Mathematical Modelling 3 Applied and Computational Harmonic Analysis 3 Combustion Theory and Modelling 3 SIAM Journal on Applied Dynamical Systems 3 Inverse Problems and Imaging 2 Applicable Analysis 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Theoretical and Computational Fluid Dynamics 2 ACM Transactions on Mathematical Software 2 Quarterly of Applied Mathematics 2 Applied Mathematics Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Linear Algebra with Applications 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Computational Geosciences 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 Reports 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 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Statistical Science 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 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 Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 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 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 International Journal of Modern Physics C ...and 22 more Journals
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### Cited in 38 Fields

 502 Numerical analysis (65-XX) 267 Fluid mechanics (76-XX) 191 Partial differential equations (35-XX) 65 Mechanics of deformable solids (74-XX) 56 Statistics (62-XX) 44 Probability theory and stochastic processes (60-XX) 43 Biology and other natural sciences (92-XX) 35 Statistical mechanics, structure of matter (82-XX) 27 Ordinary differential equations (34-XX) 19 Optics, electromagnetic theory (78-XX) 18 Computer science (68-XX) 18 Geophysics (86-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Systems theory; control (93-XX) 9 Integral equations (45-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Operations research, mathematical programming (90-XX) 7 Relativity and gravitational theory (83-XX) 7 Astronomy and astrophysics (85-XX) 6 Information and communication theory, circuits (94-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Operator theory (47-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 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-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) 1 Differential geometry (53-XX)