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On the numerical approximation of Boussinesq/Boussinesq systems for internal waves

Numerical methods for partial differential equations, 2023-09, Vol.39 (5), p.3677-3704

2023

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A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type

IMA journal of numerical analysis, 2022-10, Vol.42 (4), p.3022-3057

2022

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Numerical modeling of tsunamis and tsunami vulnerability analysis for Heraklion, Crete

Mathematical methods in the applied sciences, 2018-02, Vol.41 (3), p.1068-1073

2018

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A finite difference method for the wide-angle "parabolic" equation in a waveguide with downsloping bottom

Numerical methods for partial differential equations, 2013-07, Vol.29 (4), p.1416-1440

2013

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On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves

Physica. D, 2021-12, Vol.428, p.133051, Article 133051

2021

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On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves

Water Waves An interdisciplinary journal, 2022-07, Vol.4 (2), p.193-237

2022

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Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations

Applied numerical mathematics, 2001-04, Vol.37 (1), p.95-107

2001

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Numerical modelling of two-way propagation of non-linear dispersive waves

Mathematics and computers in simulation, 2001, Vol.55 (4), p.595-606

2001

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Preface [Special issue: NumAn 2014]

Applied numerical mathematics, 2016-06, Vol.104, p.99-102

2016

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On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation

SIAM journal on numerical analysis, 1993-04, Vol.30 (2), p.377-400

1993

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On some Boussinesq systems in two space dimensions: theory and numerical analysis

ESAIM: Mathematical Modelling and Numerical Analysis, 2007-09, Vol.41 (5), p.825-854

2007

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An initial- and boundary-value problem for a model equation for propagation of long waves

Journal of mathematical analysis and applications, 1980, Vol.75 (2), p.503-522

1980

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On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schr dinger equation

Numerische Mathematik, 1991-12, Vol.59 (1), p.31-53

1991

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Convergence of Galerkin approximations for the Korteweg-de Vries equation

Mathematics of computation, 1983-04, Vol.40 (162), p.419-433

1983

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On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation

Numerische Mathematik, 1991-12, Vol.59 (1), p.31-53

1991

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The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations

SIAM journal on numerical analysis, 1976-09, Vol.13 (4), p.577-598

1976

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On the Superconvergence of Galerkin Approximations to Second-Order Hyperbolic Equations

SIAM journal on numerical analysis, 1980-06, Vol.17 (3), p.431-446

1980

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Fully discrete galerkin methods for the korteweg-de vries equation

Computers & mathematics with applications (1987), 1986, Vol.12 (7), p.859-884

1986

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Analysis of finite element and finite difference methods for the “parabolic” equation

The Journal of the Acoustical Society of America, 1989-11, Vol.86 (S1), p.S54-S54

1989

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Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

Mathematics of computation, 1989-04, Vol.52 (186), p.S15-S33

1989

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Multistep-Galerkin Methods for Hyperbolic Equations

Mathematics of computation, 1979, Vol.33 (146), p.563-584

Dougalis, Vassilios A.

1979

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On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations

Mathematics of computation, 1982, Vol.39 (160), p.339-375

1982

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Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation

Applied numerical mathematics, 1992, Vol.10 (3), p.335-355

1992

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Finite Difference Discretizations of Some Initial and Boundary Value Problems with Interface

Mathematics of computation, 1991-04, Vol.56 (194), p.505-522

1991

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Error estimates for finite element methods for a wide-angle parabolic equation

Applied numerical mathematics, 1994-12, Vol.16 (1), p.81-100

1994

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On the numerical approximation of Boussinesq/Boussinesq systems for internal waves

A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type

Numerical modeling of tsunamis and tsunami vulnerability analysis for Heraklion, Crete

A finite difference method for the wide-angle "parabolic" equation in a waveguide with downsloping bottom

On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves

On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves

Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations

Numerical modelling of two-way propagation of non-linear dispersive waves

Preface [Special issue: NumAn 2014]

On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation

On some Boussinesq systems in two space dimensions: theory and numerical analysis

An initial- and boundary-value problem for a model equation for propagation of long waves

On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schr dinger equation

Convergence of Galerkin approximations for the Korteweg-de Vries equation

On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation

The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations

On the Superconvergence of Galerkin Approximations to Second-Order Hyperbolic Equations

Fully discrete galerkin methods for the korteweg-de vries equation

Analysis of finite element and finite difference methods for the “parabolic” equation

Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

Multistep-Galerkin Methods for Hyperbolic Equations

On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations

Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation

Finite Difference Discretizations of Some Initial and Boundary Value Problems with Interface

Error estimates for finite element methods for a wide-angle parabolic equation

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