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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: 119 Publications (since 2006)
References Indexed: 42 Publications with 1,484 References.
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.
4 Ketcheson, David I.
4 Saye, Robert I.
3 Chopp, David L.
3 Garcia, Alejandro 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 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 Schwartz, Peter O.
2 Smith, Bryan Gerard
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 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 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 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
1 Fai, Thomas G.
1 Galvis, Juan
1 Gao, Xinfeng
1 Garabedian, Paul Roesel
1 Ghazizadeh, Mohammad A.
1 Ghosh, Sunayana
...and 143 more Authors

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,091 times in 914 Documents Cited by Year
Toward an efficient parallel in time method for partial differential equations. Zbl 1248.65106
Emmett, Matthew; Minion, Michael L.
97
2012
On the accuracy of finite difference methods for elliptic problems with interfaces. Zbl 1153.35319
Beale, J. Thomas; Layton, Anita T.
71
2006
A hybrid parareal spectral deferred corrections method. Zbl 1208.65101
Minion, Michael L.
61
2010
Ensemble samplers with affine invariance. Zbl 1189.65014
Goodman, Jonathan; Weare, Jonathan
57
2010
A high-order finite-volume method for conservation laws on locally refined grids. Zbl 1252.65163
McCorquodale, Peter; Colella, Phillip
56
2011
An immersed boundary method for rigid bodies. Zbl 1382.76191
Kallemov, Bakytzhan; Bhalla, Amneet Pal Singh; Griffith, Boyce E.; Donev, Aleksandar
33
2016
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
31
2010
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
29
2006
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.
29
2015
Dual-based a posteriori error estimate for stochastic finite element methods. Zbl 1131.65003
Mathelin, Lionel; Le Maître, Olivier
27
2007
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
27
2010
Comments on high-order integrators embedded within integral deferred correction methods. Zbl 1167.65389
Christlieb, Andrew; Ong, Benjamin; Qiu, Jing-Mei
27
2009
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 the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
24
2006
FETI and BDD preconditioners for Stokes-Mortar-Darcy systems. Zbl 1189.35226
Galvis, Juan; Sarkis, Marcus
23
2010
Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114
Ketcheson, David I.; Ahmadia, Aron J.
23
2012
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
21
2006
Analysis of implicit LES methods. Zbl 1162.76024
Aspden, Andrew; Nikiforakis, Nikos; Dalziel, Stuart; Bell, John B.
21
2008
A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131
Langston, M. Harper; Greengard, Leslie; Zorin, Denis
19
2011
Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Zbl 1131.65059
Layton, Anita T.; Minion, Michael L.
19
2007
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.
15
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
14
2020
Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055
Cortez, Ricardo; Nicholas, Michael
13
2012
High-order methods for computing distances to implicitly defined surfaces. Zbl 1316.65030
Saye, Robert I.
13
2014
A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402
Tu, Xuemin; Li, Jing
13
2008
Parameter estimation by implicit sampling. Zbl 1328.86002
Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J.
13
2015
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.
12
2007
Parallel in time algorithms with reduction methods for solving chemical kinetics. Zbl 1205.80082
Blouza, Adel; Boudin, Laurent; Kaber, Sidi Mahmoud
11
2010
Revisionist integral deferred correction with adaptive step-size control. Zbl 1312.65110
Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W.; Spiteri, Raymond J.
10
2015
An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 1516.65075
Trebotich, David; Graves, Daniel T.
9
2015
On the convergence of spectral deferred correction methods. Zbl 1435.65104
Causley, Mathew; Seal, David
9
2019
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.
9
2007
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
8
2018
A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094
Vater, Stefan; Klein, Rupert
8
2018
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
7
2014
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
The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005
Greengard, Leslie; Lee, June-Yub; Inati, Souheil
7
2006
Renormalized reduced models for singular PDEs. Zbl 1457.65078
Stinis, Panos
7
2013
Analysis of persistent nonstationary time series and applications. Zbl 1275.62067
Metzner, Philipp; Putzig, Lars; Horenko, Illia
7
2012
Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175
Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I.
6
2021
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
6
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
6
2013
Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342
Cai, Xiao-Chuan; Liu, Si; Zou, Jun
6
2009
Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134
Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen
5
2021
Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141
Tzou, Chung-Nan; Stechmann, Samuel N.
5
2019
Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027
Saye, Robert I.
5
2019
Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068
Stinis, Panos
5
2011
Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012
Motheau, Emmanuel; Wakefield, John
5
2020
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
5
2015
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.
5
2014
Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051
Garcia, Alejandro L.
5
2006
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
5
2015
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
5
2018
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
Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176
Saye, Robert
4
2020
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
4
2021
Numerical method for expectations of piecewise deterministic Markov processes. Zbl 1248.60086
Brandejsky, Adrien; De Saporta, Benoîte; Dufour, François
4
2012
Active control for statistically stationary turbulent premixed flame simulations. Zbl 1121.80008
Bell, John B.; Day, Marcus S.; Grcar, Joseph F.; Lijewski, Michael J.
4
2006
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
An urn model associated with Jacobi polynomials. Zbl 1188.60040
Grünbaum, F. Alberto
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 volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064
Puckett, Elbridge Gerry
4
2010
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
From interacting agents to density-based modeling with stochastic PDEs. Zbl 1461.60045
Helfmann, Luzie; Djurdjevac Conrad, Nataša; Djurdjevac, Ana; Winkelmann, Stefanie; Schütte, Christof
3
2021
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 a scalable nonparametric denoising of time series signals. Zbl 1385.37084
Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia
3
2018
A phase transition approach to detecting singularities of partial differential equations. Zbl 1180.35014
Stinis, Panagiotis
3
2009
Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073
Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar
3
2015
A front-tracking shock-capturing method for two gases. Zbl 1326.76075
Vahab, Mehdi; Miller, Gregory
3
2016
A single-stage flux-corrected transport algorithm for high-order finite-volume methods. Zbl 1362.65091
Chaplin, Christopher; Colella, Phillip
3
2017
Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164
Cameron, Maria; Yang, Shuo
2
2019
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
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
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
Hybrid numerical treatment of two-fluid problems with passive interfaces. Zbl 1128.76021
Cogan, Nicholas G.
2
2007
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
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
1
2019
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
Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250
Kavouklis, Chris; Colella, Phillip
1
2019
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
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069
Pazner, Will; Persson, Per-Olof
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
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
An adaptively weighted Galerkin finite element method for boundary value problems. Zbl 1312.65196
Sun, Yifei; Westphal, Chad R.
1
2015
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.
1
2014
Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668
Barenblatt, Grigory Isaakovich
1
2009
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
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
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
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
Positivity-preserving adaptive Runge-Kutta methods. Zbl 1480.65175
Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I.
6
2021
Globally divergence-free DG scheme for ideal compressible MHD. Zbl 1468.65134
Balsara, Dinshaw S.; Kumar, Rakesh; Chandrashekar, Praveen
5
2021
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
4
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
3
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
14
2020
Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows. Zbl 1444.35012
Motheau, Emmanuel; Wakefield, John
5
2020
Fast multigrid solution of high-order accurate multiphase Stokes problems. Zbl 1456.65176
Saye, Robert
4
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
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
9
2019
Simple second-order finite differences for elliptic PDEs with discontinuous coefficients and interfaces. Zbl 1434.65141
Tzou, Chung-Nan; Stechmann, Samuel N.
5
2019
Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods. Zbl 1431.65027
Saye, Robert I.
5
2019
Computing the quasipotential for highly dissipative and chaotic SDEs an application to stochastic Lorenz’63. Zbl 1451.65164
Cameron, Maria; Yang, Shuo
2
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
1
2019
Computation of volume potentials on structured grids with the method of local corrections. Zbl 1407.65250
Kavouklis, Chris; Colella, Phillip
1
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
8
2018
A semi-implicit multiscale scheme for shallow water flows at low Froude number. Zbl 1402.65094
Vater, Stefan; Klein, Rupert
8
2018
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
5
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 a scalable nonparametric denoising of time series signals. Zbl 1385.37084
Pospíšil, Lukáš; Gagliardini, Patrick; Sawyer, William; Horenko, Illia
3
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
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations. Zbl 1392.65069
Pazner, Will; Persson, Per-Olof
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
33
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.
29
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.
10
2015
An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries. Zbl 1516.65075
Trebotich, David; Graves, Daniel T.
9
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
5
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
5
2015
Low Mach number fluctuating hydrodynamics of binary liquid mixtures. Zbl 1326.76073
Nonaka, Andy; Sun, Yifei; Bell, John B.; Donev, Aleksandar
3
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.
13
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
7
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.
5
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
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.
1
2014
Renormalized reduced models for singular PDEs. Zbl 1457.65078
Stinis, Panos
7
2013
Legendre spectral-collocation method for Volterra integral differential equations with nonvanishing delay. Zbl 1284.65189
Chen, Yanping; Gu, Zhendong
6
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
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.
97
2012
Optimal stability polynomials for numerical integration of initial value problems. Zbl 1259.65114
Ketcheson, David I.; Ahmadia, Aron J.
23
2012
Slender body theory for Stokes flows with regularized forces. Zbl 1452.76055
Cortez, Ricardo; Nicholas, Michael
13
2012
Analysis of persistent nonstationary time series and applications. Zbl 1275.62067
Metzner, Philipp; Putzig, Lars; Horenko, Illia
7
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
56
2011
A free-space adaptive FMM-based PDE solver in three dimensions. Zbl 1230.65131
Langston, M. Harper; Greengard, Leslie; Zorin, Denis
19
2011
Conditional path sampling for stochastic differential equations through drift relaxation. Zbl 1238.60068
Stinis, Panos
5
2011
A hybrid parareal spectral deferred corrections method. Zbl 1208.65101
Minion, Michael L.
61
2010
Ensemble samplers with affine invariance. Zbl 1189.65014
Goodman, Jonathan; Weare, Jonathan
57
2010
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
31
2010
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
27
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
11
2010
An urn model associated with Jacobi polynomials. Zbl 1188.60040
Grünbaum, F. Alberto
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 volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm. Zbl 1277.76064
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
27
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.
15
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
6
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.
21
2008
A balancing domain decomposition method by constraints for advection-diffusion problems. Zbl 1165.65402
Tu, Xuemin; Li, Jing
13
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.
19
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.
12
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.
9
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.
71
2006
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
29
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 the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
24
2006
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
21
2006
The fast sinc transform and image reconstruction from nonuniform samples in \(k\)-space. Zbl 1106.94005
Greengard, Leslie; Lee, June-Yub; Inati, Souheil
7
2006
Estimating hydrodynamic quantities in the presence of microscopic fluctuations. Zbl 1111.82051
Garcia, Alejandro L.
5
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.
4
2006
all top 5

Cited by 1,689 Authors

17 Minion, Michael L.
16 Ruprecht, Daniel
16 Wu, Shulin
15 Speck, Robert
14 Li, Zhilin
12 Schroder, Jacob B.
11 Gander, Martin Jakob
10 Bell, John B.
10 Christlieb, Andrew J.
10 Colella, Phillip
10 Griffith, Boyce E.
10 Krause, Rolf H.
9 Falgout, Robert D.
9 He, Xiaoming
9 Morzfeld, Matthias
9 Rokhlin, Vladimir
9 Vermeire, Brian C.
9 Ying, Wenjun
8 Saye, Robert I.
8 Tu, Xuemin
7 Badia, Santiago
7 Balsara, Dinshaw S.
7 Jin, Shi
7 Li, Lei
7 Li, Xiantao
7 Martinsson, Per-Gunnar
7 Massing, André
7 Mori, Yoichiro
7 Ong, Benjamin W.
7 Stuart, Andrew M.
7 Zhou, Tao
6 Bhalla, Amneet Pal Singh
6 Colonius, Tim
6 Horenko, Illia
6 Jiang, Yaolin
6 Layton, Anita T.
6 Marzouk, Youssef M.
6 Stinis, Panos
6 Wei, Guowei
6 Zeifang, Jonas
5 Beale, J. Thomas
5 Chopp, David L.
5 Day, Marcus S.
5 Duraisamy, Karthik
5 Gao, Xinfeng
5 Götschel, Sebastian
5 Greengard, Leslie F.
5 Guzik, Stephen M.
5 Hou, Yanren
5 Lai, Mingchih
5 Lee, Dongwook
5 Nouy, Anthony
5 Reich, Sebastian
5 Schütz, Jochen
4 Aspden, Andrew J.
4 Cai, Xiao-Chuan
4 Chorin, Alexandre Joel
4 Crockatt, Michael M.
4 Domínguez de la Iglesia, Manuel
4 Dumbser, Michael
4 Emmett, Matthew
4 Fu, Lin
4 Gunzburger, Max D.
4 Harlim, John
4 Hedayati Nasab, Siavash
4 Hesthaven, Jan S.
4 Huang, Jingfang
4 Jiang, Shidong
4 Lee, Hyesuk Kwon
4 Liu, Jun
4 Neiva, Eric
4 Nordsletten, David A.
4 Patankar, Neelesh A.
4 Peskin, Charles S.
4 Qiu, Jingmei
4 Reyes, Adam
4 Stechmann, Samuel N.
4 Tygert, Mark
4 Venturi, Daniele
4 Verdugo, Francesc
4 Wall, Wolfgang A.
4 Weiser, Martin
4 Wilkening, Jon A.
4 Witteveen, Jeroen A. S.
4 Xia, Kelin
4 Yotov, Ivan
4 Zhu, Yuanran
3 Ambrose, David M.
3 Atzberger, Paul J.
3 Azaïs, Romain
3 Bao, Feng
3 Beck, Andrea D.
3 Biros, George
3 Bolten, Matthias
3 Boscarino, Sebastiano
3 Boscheri, Walter
3 Bu, Sunyoung
3 Buvoli, Tommaso
3 Cao, Yanzhao
3 Capistrán, Marcos A.
...and 1,589 more Authors
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Cited in 143 Journals

214 Journal of Computational Physics
67 SIAM Journal on Scientific Computing
62 Computer Methods in Applied Mechanics and Engineering
45 Journal of Scientific Computing
32 Computers and Fluids
25 Computers & Mathematics with Applications
24 Journal of Fluid Mechanics
24 Journal of Computational and Applied Mathematics
18 Communications in Applied Mathematics and Computational Science
17 Applied Numerical Mathematics
15 Communications in Computational Physics
14 Computing and Visualization in Science
13 Applied Mathematics and Computation
10 SIAM/ASA Journal on Uncertainty Quantification
9 International Journal for Numerical Methods in Engineering
9 SIAM Journal on Numerical Analysis
9 Physica D
9 Multiscale Modeling & Simulation
8 Mathematics of Computation
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Statistics and Computing
6 Journal of Mathematical Biology
6 Mathematical Methods in the Applied Sciences
6 BIT
6 Mathematics and Computers in Simulation
6 Numerische Mathematik
5 Bulletin of Mathematical Biology
5 Computational Mechanics
5 International Journal of Computer Mathematics
5 Engineering Analysis with Boundary Elements
5 Combustion Theory and Modelling
5 SIAM Journal on Applied Dynamical Systems
5 Journal of Cosmology and Astroparticle Physics
5 Communications on Applied Mathematics and Computation
4 Communications on Pure and Applied Mathematics
4 Journal of Statistical Physics
4 ACM Transactions on Mathematical Software
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 Computational Geosciences
3 Applicable Analysis
3 Inverse Problems
3 Journal of Engineering Mathematics
3 Applications of Mathematics
3 Applied Mathematical Modelling
3 SIAM Journal on Applied Mathematics
3 Applied and Computational Harmonic Analysis
3 Acta Numerica
3 Inverse Problems and Imaging
3 Advances in Applied Mathematics and Mechanics
2 Archive for Rational Mechanics and Analysis
2 Classical and Quantum Gravity
2 General Relativity and Gravitation
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Physics Reports
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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Review
2 Numerical Linear Algebra with Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
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 Acta Mechanica
1 Advances in Applied Probability
1 Computer Physics Communications
1 Nonlinearity
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 Automatica
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 Statistical Science
1 Numerical Methods for Partial Differential Equations
1 Japan Journal of Industrial and Applied Mathematics
1 The Annals of Applied Probability
1 Computational Mathematics and Mathematical Physics
1 Communications in Statistics. Theory and Methods
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Computational Statistics and Data Analysis
...and 43 more Journals
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Cited in 38 Fields

663 Numerical analysis (65-XX)
346 Fluid mechanics (76-XX)
253 Partial differential equations (35-XX)
78 Mechanics of deformable solids (74-XX)
77 Statistics (62-XX)
69 Probability theory and stochastic processes (60-XX)
50 Statistical mechanics, structure of matter (82-XX)
50 Biology and other natural sciences (92-XX)
36 Ordinary differential equations (34-XX)
28 Geophysics (86-XX)
22 Computer science (68-XX)
21 Optics, electromagnetic theory (78-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 Classical thermodynamics, heat transfer (80-XX)
15 Relativity and gravitational theory (83-XX)
15 Systems theory; control (93-XX)
12 Integral equations (45-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Operations research, mathematical programming (90-XX)
9 Approximations and expansions (41-XX)
9 Mechanics of particles and systems (70-XX)
9 Astronomy and astrophysics (85-XX)
8 Quantum theory (81-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Information and communication theory, circuits (94-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
5 Potential theory (31-XX)
5 Special functions (33-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-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