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## Ervin, Vincent J.

Compute Distance To:
 Author ID: ervin.vincent-j Published as: Ervin, V.; Ervin, V. J.; Ervin, Vincent J.
 Documents Indexed: 82 Publications since 1984
all top 5

#### Co-Authors

 4 single-authored 14 Layton, William J. 11 Duan, Jinqiao 10 Stephan, Ernst Peter 7 Jenkins, Eleanor W. 7 Lee, Hyesuk Kwon 6 Heuer, Norbert 4 Brannan, James R. 4 Costabel, Martin 4 Maubach, Joseph M. L. 4 Roop, John Paul 4 Wang, Hong 4 Zheng, Xiangcheng 3 Gao, Hongjun 3 Ntasin, Louis N. 3 Ruiz-Ramírez, Javier 2 Adams, Ernst Wilhelm 2 Ames, William Francis 2 Case, Michael A. 2 Chrispell, J. C. 2 Howell, Jason S. 2 Kubacki, Michaela 2 Linke, Alexander 2 Miles, William W. 2 Moraiti, Marina 2 Neda, Monika 2 Razoumov, Leonid 2 Rebholz, Leo G. 2 Si, Zhiyong 2 Sun, Shuyu 2 Trenchea, Catalin 1 Ambartsumyan, Ilona 1 Barnsley, Michael Fielding 1 Cawood, M. E. 1 Chen, Huanzhen 1 Crowder, T. R. 1 El-Seoud, S. Abou 1 Führer, Thomas 1 Guo, Boling 1 Hardin, Douglas P. 1 Jia, Lueling 1 Karkulik, Michael 1 Kieser, Ralf 1 Lancaster, J. F. 1 Lin, Guoguang 1 Macías-Díaz, Jorge Eduardo 1 Nguyen, Truong Quang 1 Phillips, Timothy N. 1 Salgado, Abner J. 1 Sambamoorthi, N. 1 Schertzer, Daniel 1 Shepherd, John James 1 Stanculescu, Iuliana 1 Thomas, Gomer 1 Wendland, Wolfgang L. 1 Wilson, Nicholas E. 1 Yotov, Ivan
all top 5

#### Serials

 9 SIAM Journal on Numerical Analysis 8 Numerical Methods for Partial Differential Equations 6 Computer Methods in Applied Mechanics and Engineering 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 3 Computers & Mathematics with Applications 3 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Journal of Differential Equations 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 International Journal of Numerical Analysis and Modeling 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Communications in Applied Numerical Methods 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Communications in Statistics. Theory and Methods 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Advances in Engineering Software 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Communications on Applied Nonlinear Analysis 1 Mathematical Problems in Engineering 1 Computational Methods in Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Axioms 1 Communications on Applied Mathematics and Computation
all top 5

#### Fields

 57 Numerical analysis (65-XX) 44 Fluid mechanics (76-XX) 41 Partial differential equations (35-XX) 12 Integral equations (45-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

70 Publications have been cited 1,290 times in 975 Documents Cited by Year
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
2006
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation. Zbl 1141.65089
Ervin, Vincent J.; Heuer, Norbert; Roop, John Paul
2007
Variational solution of fractional advection dispersion equations on bounded domains in $$\mathbb R^{d}$$. Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
2007
Coupled generalized nonlinear Stokes flow with flow through a porous medium. Zbl 1279.76032
Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu
2009
A connection between Scott-Vogelius and grad-div stabilized Taylor-Hood FE approximations of the Navier-Stokes equations. Zbl 1244.76021
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.
2011
Regularity of the solution to 1-D fractional order diffusion equations. Zbl 1394.65145
Ervin, V. J.; Heuer, N.; Roop, J. P.
2018
Solution of an inverse problem for fractals and other sets. Zbl 0613.28008
Barnsley, M. F.; Ervin, V.; Hardin, D.; Lancaster, J.
1986
Coupling nonlinear Stokes and Darcy flow using mortar finite elements. Zbl 1276.76040
Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu
2011
A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations. Zbl 0852.76039
Ervin, V.; Layton, W.; Maubach, J.
1996
Adaptive defect-correction methods for viscous incompressible flow problems. Zbl 1049.76038
Ervin, V. J.; Layton, W. J.; Maubach, J. M.
2000
An analysis of a defect-correction method for a model convection- diffusion equation. Zbl 0672.65063
Ervin, V.; Layton, W.
1989
On the $$h$$-$$p$$ version of the boundary element method for Symm’s integral equation on polygons. Zbl 0842.65076
Ervin, V. J.; Heuer, N.; Stephan, E. P.
1993
Approximation of the Stokes-Darcy system by optimization. Zbl 1297.76054
Ervin, V. J.; Jenkins, E. W.; Lee, Hyesuk
2014
A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem. Zbl 1194.76114
Ervin, Vincent J.; Howell, Jason S.; Stanculescu, Iuliana
2008
A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow. Zbl 1132.76033
Ervin, Vincent J.; Howell, Jason S.; Lee, Hyesuk
2008
Defect correction method for viscoelastic fluid flows at high Weissenberg number. Zbl 1080.76037
Ervin, Vincent J.; Lee, Hyesuk
2006
Approximation of time-dependent viscoelastic fluid flow: SUPG approximation. Zbl 1130.76362
Ervin, Vincent J.; Miles, William W.
2003
An adaptive boundary element method for the exterior Stokes problem in three dimensions. Zbl 1096.65120
Ervin, Vincent J.; Heuer, Norbert
2006
On the stochastic Kuramoto-Sivashinsky equation. Zbl 0976.60059
Duan, Jinqiao; Ervin, Vincent J.
2001
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2007
A positive and bounded finite element approximation of the generalized Burgers-Huxley equation. Zbl 1306.65263
Ervin, V. J.; Macías-Díaz, J. E.; Ruiz-Ramírez, J.
2015
Approximation of coupled Stokes-Darcy flow in an axisymmetric domain. Zbl 1286.76144
Ervin, V. J.
2013
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation. Zbl 1037.76041
Ervin, Vincent J.; Heuer, Norbert
2004
Dynamics of a nonlocal Kuramoto-Sivashinsky equation. Zbl 0957.35114
Duan, Jinqiao; Ervin, Vincent J.
1998
On the convergence of collocation methods for Symm’s integral equation on open curves. Zbl 0655.65144
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1988
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026
Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J.
2000
Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval. Zbl 0762.65093
Ervin, V. J.; Stephan, E. P.
1992
Experimental convergence rates for various couplings of boundary and finite elements. Zbl 0727.65096
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1991
Computational bases for $$RT_k$$ and $$BDM_k$$ on triangles. Zbl 1268.65152
Ervin, V. J.
2012
Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem. Zbl 0707.65076
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1990
A fractional step $$\theta$$-method approximation of time-dependent viscoelastic fluid flow. Zbl 1171.76024
Chrispell, J. C.; Ervin, V. J.; Jenkins, E. W.
2009
$$A posteriori$$ error estimation and adaptive computation of viscoelastic fluid flow. Zbl 1141.76434
Ervin, Vincent J.; Ntasin, Louis N.
2005
Adaptive defect correction methods for convection dominated, convection diffusion problems. Zbl 0979.65096
Cawood, M. E.; Ervin, V. J.; Layton, W. J.; Maubach, J. M.
2000
Numerical analysis of filter-based stabilization for evolution equations. Zbl 1255.76021
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2012
Numerical approximation of a quasi-Newtonian Stokes flow problem with defective boundary conditions. Zbl 1146.76002
Ervin, Vincent J.; Lee, Hyesuk
2007
An improved boundary element method for the charge density of a thin electrified plate in $${\mathbb{R}}^ 3$$. Zbl 0717.65093
Ervin, V. J.; Stephan, E. P.; El-Seoud, S. Abou
1990
A boundary element Galerkin method for a hypersingular integral equation on open surfaces. Zbl 0717.65092
Ervin, V. J.; Stephan, E. P.
1990
Escape probability, mean residence time and geophysical fluid particle dynamics. Zbl 1194.76241
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
1999
DPG method with optimal test functions for a fractional advection diffusion equation. Zbl 1398.65179
Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
A fractional step $$\theta$$ -method for convection-diffusion problems. Zbl 1156.65074
Chrispell, J. C.; Ervin, V. J.; Jenkins, E. W.
2007
Approximation of time-dependent, multi-component, viscoelastic fluid flow. Zbl 1091.76033
Ervin, Vincent J.; Miles, William W.
2005
Adaptive approximations for 3-D electrostatic plate problems. Zbl 0769.65091
Ervin, V. J.; Stephan, E. P.
1992
Nonlinear waves in the pellet fusion process. Zbl 0551.76056
Ervin, V. J.; Ames, W. F.; Adams, E.
1984
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Zbl 1429.65289
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2019
Existence and regularity of solutions to 1-D fractional order diffusion equations. Zbl 1418.35363
Jia, Lueling; Chen, Huanzhen; Ervin, Vincent J.
2019
Approximation of axisymmetric Darcy flow using mixed finite element methods. Zbl 1383.76336
Ervin, V. J.
2013
Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem. Zbl 1120.76039
Ervin, Vincent J.; Phillips, Timothy N.
2006
Analysis of the Oseen-viscoelastic fluid flow problem. Zbl 1187.76613
Ervin, Vincent J.; Lee, Hyesuk K.; Ntasin, Louis N.
2005
On the approximation of derivatives of singularly perturbed boundary value problems. Zbl 0619.65071
Ervin, V.; Layton, W.
1987
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
2016
A robust and parallel relaxation method based on algebraic splittings. Zbl 0935.65020
Ervin, V. J.; Layton, William J.
1999
Numerical approximation of the solution for a model 2-D hypersingular integral equation. Zbl 0702.65101
Ervin, V. J.; Kieser, Ralf; Wendland, Wolfgang L.
1990
High resolution, minimal storage algorithms for convection dominated, convection-diffusion equations. Zbl 0625.76095
Ervin, V.; Layton, W.
1987
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. Zbl 07188145
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2020
A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media. Zbl 1431.76120
Ambartsumyan, Ilona; Ervin, Vincent J.; Nguyen, Truong; Yotov, Ivan
2019
Numerical simulations of fluid pressure in the human eye. Zbl 1304.92053
Crowder, T. R.; Ervin, V. J.
2013
Stenberg’s sufficiency criteria for the LBB condition for axisymmetric Stokes flow. Zbl 1426.76255
Ervin, V. J.; Jenkins, E. W.
2013
Stabilized approximation to degenerate transport equations via filtering. Zbl 1423.76336
Ervin, V. J.; Jenkins, E. W.
2011
Stable computing with an enhanced physics based scheme for the 3D Navier-Stokes equations. Zbl 1429.76069
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
2011
Escape probability and mean residence time in random flows with unsteady drift. Zbl 1008.76078
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
2001
A second order accurate, positive scheme for singularly perturbed boundary value problems. Zbl 0633.65076
Ervin, V.; Layton, W.
1988
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
2020
An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2020
Nonlinear Darcy fluid flow with deposition. Zbl 06626234
Ervin, V. J.; Lee, Hyesuk; Ruiz-Ramírez, J.
2017
On limiting behavior of contaminant transport models in coupled surface and groundwater flows. Zbl 1369.76057
Ervin, Vincent J.; Kubacki, Michaela; Layton, William; Moraiti, Marina; Si, Zhiyong; Trenchea, Catalin
2015
Numerical approximation of the Newtonian film blowing problem. Zbl 1127.76008
Ervin, V. J.; Shepherd, J. J.
2005
On nonlinear amplitude evolution under stochastic forcing. Zbl 1032.35161
Duan, Jinqiao; Ervin, Vincent J.
2000
Simultaneous prediction intervals for multinomial logistic regression models. Zbl 0825.62120
Sambamoorthi, N.; Ervin, V. J.; Thomas, G.
1994
Quadrature and collocation methods for the double layer potential on polygons. Zbl 0791.65087
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1993
A boundary-element method with mesh refinement for a weakly singular integral equation. Zbl 0731.65119
Ervin, V. J.; Stephan, E. P.
1991
Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation. Zbl 07188145
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2020
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. Zbl 1451.65209
Zheng, Xiangcheng; Ervin, Vincent J.; Wang, Hong
2020
An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2020
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. Zbl 1429.65289
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong
2019
Existence and regularity of solutions to 1-D fractional order diffusion equations. Zbl 1418.35363
Jia, Lueling; Chen, Huanzhen; Ervin, Vincent J.
2019
A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media. Zbl 1431.76120
Ambartsumyan, Ilona; Ervin, Vincent J.; Nguyen, Truong; Yotov, Ivan
2019
Regularity of the solution to 1-D fractional order diffusion equations. Zbl 1394.65145
Ervin, V. J.; Heuer, N.; Roop, J. P.
2018
DPG method with optimal test functions for a fractional advection diffusion equation. Zbl 1398.65179
Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael
2017
Nonlinear Darcy fluid flow with deposition. Zbl 06626234
Ervin, V. J.; Lee, Hyesuk; Ruiz-Ramírez, J.
2017
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
2016
A positive and bounded finite element approximation of the generalized Burgers-Huxley equation. Zbl 1306.65263
Ervin, V. J.; Macías-Díaz, J. E.; Ruiz-Ramírez, J.
2015
On limiting behavior of contaminant transport models in coupled surface and groundwater flows. Zbl 1369.76057
Ervin, Vincent J.; Kubacki, Michaela; Layton, William; Moraiti, Marina; Si, Zhiyong; Trenchea, Catalin
2015
Approximation of the Stokes-Darcy system by optimization. Zbl 1297.76054
Ervin, V. J.; Jenkins, E. W.; Lee, Hyesuk
2014
Approximation of coupled Stokes-Darcy flow in an axisymmetric domain. Zbl 1286.76144
Ervin, V. J.
2013
Approximation of axisymmetric Darcy flow using mixed finite element methods. Zbl 1383.76336
Ervin, V. J.
2013
Numerical simulations of fluid pressure in the human eye. Zbl 1304.92053
Crowder, T. R.; Ervin, V. J.
2013
Stenberg’s sufficiency criteria for the LBB condition for axisymmetric Stokes flow. Zbl 1426.76255
Ervin, V. J.; Jenkins, E. W.
2013
Computational bases for $$RT_k$$ and $$BDM_k$$ on triangles. Zbl 1268.65152
Ervin, V. J.
2012
Numerical analysis of filter-based stabilization for evolution equations. Zbl 1255.76021
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2012
A connection between Scott-Vogelius and grad-div stabilized Taylor-Hood FE approximations of the Navier-Stokes equations. Zbl 1244.76021
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.
2011
Coupling nonlinear Stokes and Darcy flow using mortar finite elements. Zbl 1276.76040
Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu
2011
Stabilized approximation to degenerate transport equations via filtering. Zbl 1423.76336
Ervin, V. J.; Jenkins, E. W.
2011
Stable computing with an enhanced physics based scheme for the 3D Navier-Stokes equations. Zbl 1429.76069
Case, Michael A.; Ervin, Vincent J.; Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
2011
Coupled generalized nonlinear Stokes flow with flow through a porous medium. Zbl 1279.76032
Ervin, V. J.; Jenkins, E. W.; Sun, Shuyu
2009
A fractional step $$\theta$$-method approximation of time-dependent viscoelastic fluid flow. Zbl 1171.76024
Chrispell, J. C.; Ervin, V. J.; Jenkins, E. W.
2009
A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem. Zbl 1194.76114
Ervin, Vincent J.; Howell, Jason S.; Stanculescu, Iuliana
2008
A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow. Zbl 1132.76033
Ervin, Vincent J.; Howell, Jason S.; Lee, Hyesuk
2008
Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation. Zbl 1141.65089
Ervin, Vincent J.; Heuer, Norbert; Roop, John Paul
2007
Variational solution of fractional advection dispersion equations on bounded domains in $$\mathbb R^{d}$$. Zbl 1117.65169
Ervin, Vincent J.; Roop, John Paul
2007
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2007
Numerical approximation of a quasi-Newtonian Stokes flow problem with defective boundary conditions. Zbl 1146.76002
Ervin, Vincent J.; Lee, Hyesuk
2007
A fractional step $$\theta$$ -method for convection-diffusion problems. Zbl 1156.65074
Chrispell, J. C.; Ervin, V. J.; Jenkins, E. W.
2007
Variational formulation for the stationary fractional advection dispersion equation. Zbl 1095.65118
Ervin, Vincent J.; Roop, John Paul
2006
Defect correction method for viscoelastic fluid flows at high Weissenberg number. Zbl 1080.76037
Ervin, Vincent J.; Lee, Hyesuk
2006
An adaptive boundary element method for the exterior Stokes problem in three dimensions. Zbl 1096.65120
Ervin, Vincent J.; Heuer, Norbert
2006
Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem. Zbl 1120.76039
Ervin, Vincent J.; Phillips, Timothy N.
2006
$$A posteriori$$ error estimation and adaptive computation of viscoelastic fluid flow. Zbl 1141.76434
Ervin, Vincent J.; Ntasin, Louis N.
2005
Approximation of time-dependent, multi-component, viscoelastic fluid flow. Zbl 1091.76033
Ervin, Vincent J.; Miles, William W.
2005
Analysis of the Oseen-viscoelastic fluid flow problem. Zbl 1187.76613
Ervin, Vincent J.; Lee, Hyesuk K.; Ntasin, Louis N.
2005
Numerical approximation of the Newtonian film blowing problem. Zbl 1127.76008
Ervin, V. J.; Shepherd, J. J.
2005
Approximation of time-dependent, viscoelastic fluid flow: Crank-Nicolson, finite element approximation. Zbl 1037.76041
Ervin, Vincent J.; Heuer, Norbert
2004
Approximation of time-dependent viscoelastic fluid flow: SUPG approximation. Zbl 1130.76362
Ervin, Vincent J.; Miles, William W.
2003
On the stochastic Kuramoto-Sivashinsky equation. Zbl 0976.60059
Duan, Jinqiao; Ervin, Vincent J.
2001
Escape probability and mean residence time in random flows with unsteady drift. Zbl 1008.76078
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
2001
Adaptive defect-correction methods for viscous incompressible flow problems. Zbl 1049.76038
Ervin, V. J.; Layton, W. J.; Maubach, J. M.
2000
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. Zbl 0983.35026
Lin, Guoguang; Gao, Hongjun; Duan, Jinqiao; Ervin, Vincent J.
2000
Adaptive defect correction methods for convection dominated, convection diffusion problems. Zbl 0979.65096
Cawood, M. E.; Ervin, V. J.; Layton, W. J.; Maubach, J. M.
2000
On nonlinear amplitude evolution under stochastic forcing. Zbl 1032.35161
Duan, Jinqiao; Ervin, Vincent J.
2000
Escape probability, mean residence time and geophysical fluid particle dynamics. Zbl 1194.76241
Brannan, James R.; Duan, Jinqiao; Ervin, Vincent J.
1999
A robust and parallel relaxation method based on algebraic splittings. Zbl 0935.65020
Ervin, V. J.; Layton, William J.
1999
Dynamics of a nonlocal Kuramoto-Sivashinsky equation. Zbl 0957.35114
Duan, Jinqiao; Ervin, Vincent J.
1998
A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations. Zbl 0852.76039
Ervin, V.; Layton, W.; Maubach, J.
1996
Simultaneous prediction intervals for multinomial logistic regression models. Zbl 0825.62120
Sambamoorthi, N.; Ervin, V. J.; Thomas, G.
1994
On the $$h$$-$$p$$ version of the boundary element method for Symm’s integral equation on polygons. Zbl 0842.65076
Ervin, V. J.; Heuer, N.; Stephan, E. P.
1993
Quadrature and collocation methods for the double layer potential on polygons. Zbl 0791.65087
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1993
Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval. Zbl 0762.65093
Ervin, V. J.; Stephan, E. P.
1992
Adaptive approximations for 3-D electrostatic plate problems. Zbl 0769.65091
Ervin, V. J.; Stephan, E. P.
1992
Experimental convergence rates for various couplings of boundary and finite elements. Zbl 0727.65096
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1991
A boundary-element method with mesh refinement for a weakly singular integral equation. Zbl 0731.65119
Ervin, V. J.; Stephan, E. P.
1991
Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem. Zbl 0707.65076
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1990
An improved boundary element method for the charge density of a thin electrified plate in $${\mathbb{R}}^ 3$$. Zbl 0717.65093
Ervin, V. J.; Stephan, E. P.; El-Seoud, S. Abou
1990
A boundary element Galerkin method for a hypersingular integral equation on open surfaces. Zbl 0717.65092
Ervin, V. J.; Stephan, E. P.
1990
Numerical approximation of the solution for a model 2-D hypersingular integral equation. Zbl 0702.65101
Ervin, V. J.; Kieser, Ralf; Wendland, Wolfgang L.
1990
An analysis of a defect-correction method for a model convection- diffusion equation. Zbl 0672.65063
Ervin, V.; Layton, W.
1989
On the convergence of collocation methods for Symm’s integral equation on open curves. Zbl 0655.65144
Costabel, M.; Ervin, V. J.; Stephan, E. P.
1988
A second order accurate, positive scheme for singularly perturbed boundary value problems. Zbl 0633.65076
Ervin, V.; Layton, W.
1988
On the approximation of derivatives of singularly perturbed boundary value problems. Zbl 0619.65071
Ervin, V.; Layton, W.
1987
High resolution, minimal storage algorithms for convection dominated, convection-diffusion equations. Zbl 0625.76095
Ervin, V.; Layton, W.
1987
Solution of an inverse problem for fractals and other sets. Zbl 0613.28008
Barnsley, M. F.; Ervin, V.; Hardin, D.; Lancaster, J.
1986
Nonlinear waves in the pellet fusion process. Zbl 0551.76056
Ervin, V. J.; Ames, W. F.; Adams, E.
1984
all top 5

#### Cited by 1,282 Authors

 50 Wang, Hong 34 Liu, Fawang 27 Ervin, Vincent J. 22 Rebholz, Leo G. 21 Layton, William J. 20 Gatica, Gabriel N. 20 Heuer, Norbert 19 Stephan, Ernst Peter 19 Turner, Ian William 17 Deng, Weihua 16 Zheng, Xiangcheng 14 Anh, Vo V. 14 Hou, Yanren 14 Huang, Pengzhan 14 Lee, Hyesuk Kwon 13 Duan, Jinqiao 13 La Torre, Davide 13 Linke, Alexander 13 Mei, Liquan 12 He, Xiaoming 12 He, Yinnian 12 Praetorius, Dirk 12 Sun, Shuyu 11 Feng, Xinlong 11 Li, Changpin 11 Macías-Díaz, Jorge Eduardo 11 Si, Zhiyong 11 Zhao, Zhengang 10 Dehghan Takht Fooladi, Mehdi 10 Fu, Hongfei 10 Huang, Chengming 10 Jenkins, Eleanor W. 10 Karkulik, Michael 10 Karniadakis, George Em 10 Li, Meng 9 Gunzburger, Max D. 9 Kou, Jisheng 9 Oyarzúa, Ricardo 8 Du, Ning 8 Hao, Zhaopeng 8 Jiang, Xiaoyun 8 Xu, Yang 8 Zhang, Yunzhang 8 Zhao, Jingjun 8 Zheng, Yunying 7 Abbaszadeh, Mostafa 7 Chen, Huanzhen 7 Ding, Hengfei 7 Jia, Jinhong 7 Li, Can 7 Li, Jian 7 Mao, Zhiping 7 Meerschaert, Mark M. 7 Neda, Monika 7 Nie, Yufeng 7 Sun, Zhizhong 7 Vrscay, Edward R. 7 Yan, Yubin 6 Bu, Weiping 6 Chen, Zhangxin 6 Führer, Thomas 6 Guo, Yanfeng 6 Howell, Jason S. 6 Huang, Jin 6 Jin, Bangti 6 Kunze, Harald 6 Kunze, Herb E. 6 Marquez-Duran, Antonio M. 6 Qiu, Hailong 6 Ruiz-Baier, Ricardo 6 Ruiz Galán, Manuel 6 Shang, Yueqiang 6 Tang, Yifa 6 Wang, Lilian 6 Wilson, Nicholas E. 6 Xie, Xiaoping 6 Yuan, Zhanbin 6 Zhang, YanMing 6 Zheng, Haibiao 6 Zhou, Zhi 5 Burrage, Kevin 5 Carstensen, Carsten 5 Chen, Shiping 5 Chen, Yangquan 5 Cheng, Aijie 5 Dunca, Argus Adrian 5 Fan, Wenping 5 Feischl, Michael 5 Jiang, Yaolin 5 John, Volker 5 Labovsky, Alexander E. 5 Li, Binjie 5 Li, Hong 5 Liu, Yang 5 Lu, Shujuan 5 Neilan, Michael 5 Roop, John Paul 5 Sayas, Francisco-Javier 5 Shen, Jie 5 Wang, Hui ...and 1,182 more Authors
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#### Cited in 162 Serials

 68 Computers & Mathematics with Applications 62 Applied Mathematics and Computation 61 Journal of Computational and Applied Mathematics 57 Applied Numerical Mathematics 56 Journal of Computational Physics 50 Journal of Scientific Computing 47 Computer Methods in Applied Mechanics and Engineering 32 Numerical Methods for Partial Differential Equations 27 SIAM Journal on Numerical Analysis 24 Numerical Algorithms 23 Journal of Mathematical Analysis and Applications 20 Numerische Mathematik 16 International Journal of Computer Mathematics 15 SIAM Journal on Scientific Computing 14 Applied Mathematical Modelling 13 Mathematical Methods in the Applied Sciences 13 Mathematics of Computation 12 Applied Mathematics Letters 11 Fractional Calculus & Applied Analysis 10 Advances in Computational Mathematics 10 Mathematical Problems in Engineering 10 Abstract and Applied Analysis 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Communications in Nonlinear Science and Numerical Simulation 8 Applicable Analysis 8 Computational and Applied Mathematics 8 Computational Methods in Applied Mathematics 7 BIT 7 Mathematics and Computers in Simulation 7 Computational Mechanics 7 Journal of Integral Equations and Applications 7 Engineering Analysis with Boundary Elements 7 Advances in Difference Equations 6 Computing 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Functional Analysis and Optimization 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Applied Mathematics and Computing 5 Computers and Fluids 5 East Asian Journal on Applied Mathematics 5 Communications on Applied Mathematics and Computation 4 International Journal for Numerical Methods in Engineering 4 Applied Mathematics and Mechanics. (English Edition) 4 Chaos 4 Journal of Applied Mathematics 4 Stochastics and Dynamics 4 Boundary Value Problems 4 Science China. Mathematics 4 Journal of Function Spaces 3 Calcolo 3 Stochastic Analysis and Applications 3 Physica D 3 Constructive Approximation 3 Journal of Inequalities and Applications 3 Discrete Dynamics in Nature and Society 3 Nonlinear Analysis. Real World Applications 3 Inverse Problems in Science and Engineering 3 Advances in Mathematical Physics 3 Journal of Applied Analysis and Computation 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Statistics & Probability Letters 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Mathematical and Computer Modelling 2 Applications of Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Complexity 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Fluid Mechanics 2 Engineering Computations 2 Journal of Numerical Mathematics 2 Tbilisi Mathematical Journal 2 Journal of Nonlinear Science and Applications 2 Advances in Numerical Analysis 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Results in Applied Mathematics 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Wave Motion 1 Journal of Geometry and Physics 1 ACM Transactions on Mathematical Software 1 Integral Equations and Operator Theory 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae ...and 62 more Serials
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#### Cited in 43 Fields

 755 Numerical analysis (65-XX) 468 Partial differential equations (35-XX) 303 Fluid mechanics (76-XX) 105 Ordinary differential equations (34-XX) 90 Real functions (26-XX) 53 Integral equations (45-XX) 48 Mechanics of deformable solids (74-XX) 41 Probability theory and stochastic processes (60-XX) 36 Dynamical systems and ergodic theory (37-XX) 24 Approximations and expansions (41-XX) 22 Operator theory (47-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Global analysis, analysis on manifolds (58-XX) 14 Special functions (33-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Biology and other natural sciences (92-XX) 11 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 10 Systems theory; control (93-XX) 9 Measure and integration (28-XX) 8 Computer science (68-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 5 Difference and functional equations (39-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mathematics education (97-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX)