Vassilios A. Dougalis

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the numerical approximation of Boussinesq/Boussinesq systems for internal waves	2023	Vassilios A. Dougalis A. Durán Leetha Saridaki
+	On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves	2022	Vassilios A. Dougalis A. Durán Leetha Saridaki
+ PDF Chat	On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves	2021	Vassilios A. Dougalis A. Durán Leetha Saridaki
+ PDF Chat	A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type	2021	Vassilios A. Dougalis A. Durán
+ PDF Chat	Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography	2021	G. Kounadis Dimitrios Antonopoulos Vassilios A. Dougalis
+	Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes	2021	Vassilios A. Dougalis A. Durán Leetha Saridaki
+	On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations	2021	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations	2021	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+	A high order fully discrete scheme for the Korteweg-de vries equation with a time-stepping procedure of Runge-Kutta-composition type	2020	Vassilios A. Dougalis A. Durán
+	Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography	2020	G. Kounadis Dimitrios Antonopoulos Vassilios A. Dougalis
+	Notes on a high order fully discrete scheme for the Korteweg-de vries equation with a time-stepping procedure of Runge-Kutta-composition type	2020	Vassilios A. Dougalis A. Durán
+ PDF Chat	On the standard Galerkin method with explicit RK4 time stepping for the shallow water equations	2019	Dimitrios Antonopoulos Vassilios A. Dougalis G. Kounadis
+	Galerkin finite element methods for the Shallow Water equations over variable bottom	2019	G. Kounadis Vassilios A. Dougalis
+ PDF Chat	Error estimates for Galerkin finite element methods for the Camassa–Holm equation	2019	Dimitrios Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+	Galerkin finite element methods for the Shallow Water equations over variable bottom	2019	G. Kounadis Vassilios A. Dougalis
+ PDF Chat	Numerical approximation to Benjamin type equations. Generation and stability of solitary waves	2018	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+	Semidiscrete approximation to Benjamin-type equations	2018	Vassilios A. Dougalis A. Durán
+	On the standard Galerkin method with explicit RK4 time stepping for the Shallow Water equations	2018	D. C. Antonopoulos Vassilios A. Dougalis G. Kounadis
+	Semidiscrete approximation to Benjamin-type equations	2018	Vassilios A. Dougalis A. Durán
+	Error estimates for Galerkin approximations of the Serre equations	2017	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	Error Estimates for Galerkin Approximations of the Serre Equations	2017	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+	Error estimates for Galerkin approximations of the Serre equations	2017	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+	Numerical approximation to Benjamin type equations. Generation and stability of solitary waves	2017	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+	Galerkin-finite element methods for the shallow water equations with characteristic boundary conditions	2016	Dimitrios Antonopoulos Vassilios A. Dougalis
+	Notes on Galerkin-finite element methods for the Shallow Water equations with characteristic boundary conditions	2015	D. C. Antonopoulos Vassilios A. Dougalis
+	Numerical solution of the Benjamin equation	2014	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+	Notes on error estimates for the standard Galerkin-finite element method for the Shallow Water equations	2014	D. C. Antonopoulos Vassilios A. Dougalis
+	Numerical solution of the Benjamin equation	2013	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+	Notes on the numerical solution of the Benjamin equation	2013	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+ PDF Chat	A finite difference method for the wide‐angle “parabolic” equation in a waveguide with downsloping bottom	2012	Dimitra C. Antonopoulou Vassilios A. Dougalis Georgios E. Zouraris
+	Numerical approximation of solitary waves of the Benjamin equation	2012	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis
+	Numerical solution of the ‘classical’ Boussinesq system	2011	Dimitrios Antonopoulos Vassilios A. Dougalis
+	A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom	2011	D. C. Antonopoulou Vassilios A. Dougalis Georgios E. Zouraris
+	Notes on error estimates for Galerkin approximations of the 'classical' Boussinesq system and related hyperbolic problems	2010	D. C. Antonopoulos Vassilios A. Dougalis
+ PDF Chat	CORRIGENDUM TO THE PAPER "Initial-boundary-value problems for the Bona-Smith family of Boussinesq systems"	2009	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+	Numerical solution of Boussinesq systems of the Bona–Smith family	2009	Dimitrios Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	Numerical solution of Boussinesq systems of the Bona-Smith family	2009	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	Initial-boundary-value problems for the Bona-Smith family of Boussinesq systems	2009	D. C. Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics	2009	D. C. Antonopoulou Vassilios A. Dougalis Georgios E. Zouraris
+	Galerkin Methods for Parabolic and SCHR{Ö}DINGER Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics	2009	D. C. Antonopoulou Vassilios A. Dougalis Georgios E. Zouraris
+ PDF Chat	On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain	2008	Vassilios A. Dougalis Dimitrios Mitsotakis Jean–Claude Saut
+	Numerical solution of Boussinesq systems of KdV–KdV type: II. Evolution of radiating solitary waves	2008	Jerry L. Bona Vassilios A. Dougalis Dimitrios Mitsotakis
+	Theory and Numerical Analysis of Boussinesq Systems	2008	Vassilios A. Dougalis Dimitrios Mitsotakis
+ PDF Chat	On some Boussinesq systems in two space dimensions: theory and numerical analysis	2007	Vassilios A. Dougalis Dimitrios Mitsotakis Jean‐Claude Saut
+	Numerical solution of KdV–KdV systems of Boussinesq equations	2006	Jerry L. Bona Vassilios A. Dougalis Dimitrios Mitsotakis
+	SOLITARY WAVES OF THE BONA - SMITH SYSTEM	2004	Vassilios A. Dougalis Dimitrios Mitsotakis
+	Subsidence diffusion–convection. II. The inverse problem	2004	Emmanouil Vairaktaris I. Vardoulakis E. Päpamichos Vassilios A. Dougalis
+	Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation	2003	Georgios Akrivis Vassilios A. Dougalis Ohannes A. Karakashian William R. McKinney
+	Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations	2001	Beatrice Pelloni Vassilios A. Dougalis
+	Numerical modelling of two-way propagation of non-linear dispersive waves	2001	Beatrice Pelloni Vassilios A. Dougalis
+	Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition	2001	Georgios Akrivis Vassilios A. Dougalis Georgios E. Zouraris
+	Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations	2000	Beatrice Pelloni Vassilios A. Dougalis
+ PDF Chat	Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods	1997	Georgios Akrivis Vassilios A. Dougalis Ohannes A. Karakashian
+	Error Estimates for Finite Difference Methods for a Wide-Angle “Parabolic” Equation	1996	Georgios Akrivis Vassilios A. Dougalis Georgios E. Zouraris
+	The effect of dissipation on solutions of the generalized Korteweg—de Vries equation	1996	Jerry L. Bona Vassilios A. Dougalis Ohannes A. Karakashian William R. McKinney
+	Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation	1995	Jerry L. Bona Vassilios A. Dougalis Ohannes A. Karakashian William R. McKinney
+	Error estimates for finite element methods for a wide-angle parabolic equation	1994	Georgios Akrivis Vassilios A. Dougalis Nikolaos Kampanis
+	On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation	1993	Ohannes A. Karakashian Georgios Akrivis Vassilios A. Dougalis
+	Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation	1992	Jerry L. Bona Vassilios A. Dougalis Ohannes A. Karakashian William R. McKinney
+	On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schr�dinger equation	1991	Georgios Akrivis Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	Finite difference discretizations of some initial and boundary value problems with interface	1991	Georgios Akrivis Vassilios A. Dougalis
+	On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation	1991	Georgios Akrivis Vassilios A. Dougalis
+	Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations	1989	Laurence A. Bales Vassilios A. Dougalis
+	Cosine Methods for Nonlinear Second-Order Hyperbolic Equations	1989	Laurence A. Bales Vassilios A. Dougalis
+ PDF Chat	Cosine methods for nonlinear second-order hyperbolic equations	1989	Laurence A. Bales Vassilios A. Dougalis
+	Fully discrete galerkin methods for the korteweg-de vries equation	1986	Jerry L. Bona Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation	1985	Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients	1985	Laurence A. Bales Vassilios A. Dougalis Steven M. Serbin
+ PDF Chat	Cosine methods for second-order hyperbolic equations with time-dependent coefficients	1985	Laurence A. Bales Vassilios A. Dougalis Steven M. Serbin
+	On some high-order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation	1985	Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	Convergence of Galerkin Approximations for the Korteweg-de Vries Equation	1983	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	Convergence of Galerkin approximations for the Korteweg-de Vries equation	1983	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian
+	On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations	1982	Vassilios A. Dougalis Steven M. Serbin
+ PDF Chat	On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations	1982	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations	1982	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian
+	On the efficiency of some fully discrete Galerkin methods for second-order hyperbolic equations	1981	Vassilios A. Dougalis Steven M. Serbin
+	On the Superconvergence of Galerkin Approximations to Second-Order Hyperbolic Equations	1980	Vassilios A. Dougalis Steven M. Serbin
+	An initial- and boundary-value problem for a model equation for propagation of long waves	1980	Jerry L. Bona Vassilios A. Dougalis
+	Some remarks on a class of rational approximations to the cosine	1980	Vassilios A. Dougalis Steven M. Serbin
+	An approximation theorem for second-order evolution equations	1980	Garth A. Baker Vassilios A. Dougalis Steven M. Serbin
+	On the L ∞ -Convergence of Galerkin Approximations for Second-Order Hyperbolic Equations	1980	Garth A. Baker Vassilios A. Dougalis
+	On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations	1980	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian
+ PDF Chat	On the 𝐿^{∞}-convergence of Galerkin approximations for second-order hyperbolic equations	1980	Garth A. Baker Vassilios A. Dougalis
+ PDF Chat	Multistep-Galerkin Methods for Hyperbolic Equations	1979	Vassilios A. Dougalis
+ PDF Chat	Multistep-Galerkin methods for hyperbolic equations	1979	Vassilios A. Dougalis
+ PDF Chat	High order accurate two-step approximations for hyperbolic equations	1979	Garth A. Baker Vassilios A. Dougalis Steven M. Serbin
+	The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations	1976	Garth A. Baker Vassilios A. Dougalis

Common Coauthors

Coauthor	Papers Together
Dimitrios Mitsotakis	22
D. C. Antonopoulos	18
Ohannes A. Karakashian	15
A. Durán	15
Garth A. Baker	10
Georgios Akrivis	9
Steven M. Serbin	8
Jerry L. Bona	7
Georgios E. Zouraris	6
G. Kounadis	5
Laurence A. Bales	5
William R. McKinney	4
D. C. Antonopoulou	4
Leetha Saridaki	4
Beatrice Pelloni	3
Jean–Claude Saut	2
I. Vardoulakis	1
Emmanouil Vairaktaris	1
G. Kounadis	1
E. Päpamichos	1
Nikolaos Kampanis	1
D. C. Antonopoulos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation	1995	Jerry L. Bona Vassilios A. Dougalis Ohannes A. Karakashian William R. McKinney	21
+	Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems	1974	Vidar Thomée Burton Wendroff	15
+	Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory	2002	Jerry L. Bona Chen Chen Saut	12
+	Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory	2004	Jerry L. Bona M. Chen J-C. Saut	12
+ PDF Chat	Convergence of Galerkin approximations for the Korteweg-de Vries equation	1983	Garth A. Baker Vassilios A. Dougalis Ohannes A. Karakashian	12
+	Galerkin Methods for First Order Hyperbolics: An Example	1973	Todd Dupont	12
+ PDF Chat	Optimal 𝐿_{∞} error estimates for Galerkin approximations to solutions of two-point boundary value problems	1975	Jim Douglas Todd Dupont Lars B. Wahlbin	12
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith	11
+	On some high-order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation	1985	Vassilios A. Dougalis Ohannes A. Karakashian	10
+ PDF Chat	Error estimates for Galerkin approximations of the “classical” Boussinesq system	2012	Dimitrios Antonopoulos V. A. Dougalis	9
+ PDF Chat	Semidiscrete and single step fully discrete approximations for second order hyperbolic equations	1979	Garth A. Baker James H. Bramble	8
+	Numerical solution of KdV–KdV systems of Boussinesq equations	2006	Jerry L. Bona Vassilios A. Dougalis Dimitrios Mitsotakis	8
+ PDF Chat	On optimal high-order in time approximations for the Korteweg-de Vries equation	1990	Ohannes A. Karakashian William R. McKinney	8
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	8
+	A Dissipative Galerkin Method for the Numerical Solution of First Order Hyperbolic Equations	1974	Lars B. Wahlbin	8
+	$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations	1973	Todd Dupont	8
+	Numerical approximation of solitary waves of the Benjamin equation	2012	Vassilios A. Dougalis A. Durán Dimitrios Mitsotakis	7
+	Model equations for long waves in nonlinear dispersive systems	1972	T. Brooke Benjamin Jerry L. Bona J. J. Mahony	7
+	Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem	1979	Jim Douglas Todd Dupont Richard E. Ewing	7
+ PDF Chat	Long Wave Approximations for Water Waves	2005	Jerry L. Bona Thierry Colin David Lannes	7
+	Solitary-Wave Solutions of the Benjamin Equation	1999	Jerry L. Bona John Albert Juan M. Restrepo	7
+ PDF Chat	Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations	1998	Jerry L. Bona Hongqiu Chen	7
+ PDF Chat	An introduction to the numerical analysis of spectral methods	1990	Bertrand Mercier	7
+ PDF Chat	Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods	2016	Jorge Álvarez A. Durán	7
+	Numerical solution of the ‘classical’ Boussinesq system	2011	Dimitrios Antonopoulos Vassilios A. Dougalis	7
+	Numerical solution of Boussinesq systems of the Bona–Smith family	2009	Dimitrios Antonopoulos Vassilios A. Dougalis Dimitrios Mitsotakis	7
+	Construction of higher order symplectic integrators	1990	Haruo Yoshida	6
+ PDF Chat	Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations	2004	Dmitry E. Pelinovsky Yury Stepanyants	6
+	A Numerical Study of the Stability of Solitary Waves of the Bona–Smith Family of Boussinesq Systems	2007	V. A. Dougalis A. Durán M.A. López-Marcos Dimitrios Mitsotakis	6
+	Solitary and periodic waves of a new kind	1996	T. Brooke Benjamin	6
+	A numerical method for the Benjamin-Ono equation	1998	Vidar Thomée A. S. Vasudeva Murthy	6
+	Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems	2000	Min Chen	6
+	Linear Multistep Methods and Galerkin Procedures for Initial Boundary Value Problems	1976	Eckart W. Gekeler	6
+	An easily implementable fourth-order method for the time integration of wave problems	1992	Javier de Frutos J. M. Sanz‐Serna	6
+	Nonlocal models for nonlinear, dispersive waves	1989	L. Abdelouhab Jerry L. Bona M. Felland Jean‐Claude Saut	6
+	A new kind of solitary wave	1992	T. Brooke Benjamin	6
+	Efficient Higher Order Single Step Methods for Parabolic Problems: Part I	1980	James H. Bramble Peter H. Sammon	6
+	Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation	1985	Tony F. Chan Tom Kerkhoven	5
+	Existence of solutions for the boussinesq system of equations	1981	María E. Schonbek	5
+	Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations	2000	Beatrice Pelloni Vassilios A. Dougalis	5
+	Convergence estimates for semi-discrete galerkin methods for initial-value problems	1973	Vidar Thomée	5
+	A model for the two-way propagation of water waves in a channel	1976	Jerry L. Bona Ronald Smith	5
+	Extrapolation Methods for Vector Sequences	1987	David A. Smith William F. Ford Avram Sidi	5
+	On generalized Benjamin type equations	2005	Felipe Linares M. Scialom	5
+ PDF Chat	Large time existence for 1D Green-Naghdi equations	2010	Samer Israwi	5
+	Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations	1976	Garth A. Baker	5
+	Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations	2001	Beatrice Pelloni Vassilios A. Dougalis	5
+	Computational methods in ordinary differential equations	1973	V. V. Zhurin	5
+	Regularity and uniqueness of solutions to the Boussinesq system of equations	1984	C. J. Amick	5
+	Rational approximations of trigonometric matrices with application to second-order systems of differential equations	1979	Steven M. Serbin	5