Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Modified Lagrange--Galerkin Methods to Integrate Time Dependent Incompressible Navier--Stokes Equations

R. Bermejo and L. Saavedra
SIAM Journal on Scientific Computing 37 (6) B779 (2015)
DOI: 10.1137/140973967
See this article

Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations

Howard Elman and David Silvester
SIAM Journal on Scientific Computing 17 (1) 33 (1996)
DOI: 10.1137/0917004
See this article

A 3D finite element model for free-surface flows

C. Leupi, E. Miglio, M. Altinakar, A. Quarteroni and M.O. Deville
Computers & Fluids 38 (10) 1903 (2009)
DOI: 10.1016/j.compfluid.2009.05.003
See this article

Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Astrid Holstad and Ivar Lie
Applied Numerical Mathematics 44 (1-2) 109 (2003)
DOI: 10.1016/S0168-9274(02)00140-X
See this article

A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems

Jaime Carpio, Juan Luis Prieto and Marcos Vera
Journal of Computational Physics 306 19 (2016)
DOI: 10.1016/j.jcp.2015.11.011
See this article

Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes

Maurizio Falcone and Roberto Ferretti
SIAM Journal on Numerical Analysis 35 (3) 909 (1998)
DOI: 10.1137/S0036142994273513
See this article

Numerical Analysis of Convection‐Diffusion‐Reaction Problems with Higher Order Characteristics/Finite Elements. Part I: Time Discretization

Alfredo Bermúdez, Maria R. Nogueiras and Carlos Vázquez
SIAM Journal on Numerical Analysis 44 (5) 1829 (2006)
DOI: 10.1137/040612014
See this article

On the relationship between Semi-Lagrangian and Lagrange–Galerkin schemes

Roberto Ferretti
Numerische Mathematik 124 (1) 31 (2013)
DOI: 10.1007/s00211-012-0505-5
See this article

Uniform estimates for characteristics-mixed finite method for transient advection-dominated diffusion problems in two-dimensional space

Huanzhen Chen, Lei Gao and Hong Wang
Applied Mathematics and Computation 280 86 (2016)
DOI: 10.1016/j.amc.2016.01.031
See this article

Numerical techniques for pricing callable bonds with notice

J. Farto and C. Vázquez
Applied Mathematics and Computation 161 (3) 989 (2005)
DOI: 10.1016/j.amc.2003.12.079
See this article

On the Stability of Evolution Galerkin Schemes Applied to a Two‐Dimensional Wave Equation System

M. Lukáčová‐Medviďová, G. Warnecke and Y. Zahaykah
SIAM Journal on Numerical Analysis 44 (4) 1556 (2006)
DOI: 10.1137/040615882
See this article

A finite element discretization method for option pricing with the Bates model

E. Miglio and C. Sgarra
SeMA Journal 55 (1) 23 (2011)
DOI: 10.1007/BF03322591
See this article

A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems

Todd Arbogast, Chieh-Sen Huang and Chen-Hui Hung
SIAM Journal on Scientific Computing 34 (4) B447 (2012)
DOI: 10.1137/110840376
See this article

A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations

Rodolfo Bermejo
SIAM Journal on Numerical Analysis 32 (2) 425 (1995)
DOI: 10.1137/0732018
See this article

Numerical Analysis of Convection‐Diffusion‐Reaction Problems with Higher Order Characteristics/Finite Elements. Part II: Fully Discretized Scheme and Quadrature Formulas

Alfredo Bermúdez, Maria R. Nogueiras and Carlos Vázquez
SIAM Journal on Numerical Analysis 44 (5) 1854 (2006)
DOI: 10.1137/040615109
See this article

Modified Lagrange–Galerkin methods of first and second order in time for convection–diffusion problems

Rodolfo Bermejo and Laura Saavedra
Numerische Mathematik 120 (4) 601 (2012)
DOI: 10.1007/s00211-011-0418-8
See this article

Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations

K. Chrysafinos and Noel J. Walkington
SIAM Journal on Numerical Analysis 44 (1) 349 (2006)
DOI: 10.1137/030602289
See this article

Fully implicit finite element method for the modeling of free surface flows with surface tension effect

Aymen Laadhari and Gábor Székely
International Journal for Numerical Methods in Engineering (2017)
DOI: 10.1002/nme.5493
See this article

A semi-implicit, semi-Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction

Giovanni Tumolo and Luca Bonaventura
Quarterly Journal of the Royal Meteorological Society 141 (692) 2582 (2015)
DOI: 10.1002/qj.2544
See this article

A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

Pedro Galán del Sastre and Rodolfo Bermejo
Communications in Computational Physics 9 (04) 1020 (2011)
DOI: 10.4208/cicp.041209.160910a
See this article

Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics

J. Kacur
SIAM Journal on Numerical Analysis 39 (3) 858 (2001)
DOI: 10.1137/S0036142998336643
See this article

Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions

Peixiong Lin, K. W. Morton and E. Süli
SIAM Journal on Numerical Analysis 34 (2) 779 (1997)
DOI: 10.1137/S0036142993259299
See this article

Convergence of Lowest Order Semi-Lagrangian Schemes

Holger Heumann and Ralf Hiptmair
Foundations of Computational Mathematics 13 (2) 187 (2013)
DOI: 10.1007/s10208-012-9139-3
See this article

A second order characteristics finite element scheme for natural convection problems

M. Benítez and A. Bermúdez
Journal of Computational and Applied Mathematics 235 (11) 3270 (2011)
DOI: 10.1016/j.cam.2011.01.007
See this article

Fully discrete semi-Lagrangian methods for advection of differential forms

Holger Heumann, Ralf Hiptmair, Kun Li and Jinchao Xu
BIT Numerical Mathematics 52 (4) 981 (2012)
DOI: 10.1007/s10543-012-0382-4
See this article

Numerical Analysis of a Second Order Pure Lagrange--Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results

Marta Benítez and Alfredo Bermúdez
SIAM Journal on Numerical Analysis 50 (6) 2824 (2012)
DOI: 10.1137/100809994
See this article

Trends in Differential Equations and Applications

Rodolfo Bermejo and Laura Saavedra
SEMA SIMAI Springer Series, Trends in Differential Equations and Applications 8 419 (2016)
DOI: 10.1007/978-3-319-32013-7_24
See this article

Numerical Methods for Contaminant Transport in Rivers and Estuaries

A.E. Croucher and M.J. O'Sullivan
Computers & Fluids 27 (8) 861 (1998)
DOI: 10.1016/S0045-7930(98)00012-7
See this article

Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues

J.-M. Qiu
Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Basic and Fundamental Issues 17 353 (2016)
DOI: 10.1016/bs.hna.2016.06.002
See this article

A second order in time local projection stabilized Lagrange–Galerkin method for Navier–Stokes equations at high Reynolds numbers

R. Bermejo and L. Saavedra
Computers & Mathematics with Applications 72 (4) 820 (2016)
DOI: 10.1016/j.camwa.2016.05.012
See this article

Computational Methods in Water Resources: Volume 1

Matthew W. Farthing, Christopher E. Kees, Thomas F. Russell and Cass T. Miller
Developments in Water Science, Computational Methods in Water Resources: Volume 1 55 505 (2004)
DOI: 10.1016/S0167-5648(04)80077-7
See this article

Conditional stability of the Lagrange-Galerkin scheme with numerical quadrature

Shinya Uchiumi
JSIAM Letters 7 61 (2015)
DOI: 10.14495/jsiaml.7.61
See this article

A genuinely stable Lagrange–Galerkin scheme for convection-diffusion problems

Masahisa Tabata and Shinya Uchiumi
Japan Journal of Industrial and Applied Mathematics 33 (1) 121 (2016)
DOI: 10.1007/s13160-015-0196-2
See this article

Advances in Computational Fluid-Structure Interaction and Flow Simulation

Hirofumi Notsu and Masahisa Tabata
Modeling and Simulation in Science, Engineering and Technology, Advances in Computational Fluid-Structure Interaction and Flow Simulation 331 (2016)
DOI: 10.1007/978-3-319-40827-9_26
See this article