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1

On some unconditionally stable, higher order methods for the numerical solution of the structural dynamics equations

Vassilios A. Dougalis, Steven M. Serbin

Journal:

International Journal for Numerical Methods in Engineering

Year:

1982

Language:

english

File:

PDF, 427 KB

english, 1982

2

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

Georgios D. Akrivis, Vassilios A. Dougalis, Nikolaos A. Kampanis

Journal:

Applied Numerical Mathematics

Year:

1994

Language:

english

File:

PDF, 1.15 MB

english, 1994

3

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

Beatrice Pelloni, Vassilios A. Dougalis

Journal:

Mathematics and Computers in Simulation

Year:

2001

Language:

english

File:

PDF, 331 KB

english, 2001

4

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

Georgios D. Akrivis, Vassilios A. Dougalis, Ohannes A. Karakashian

Journal:

Numerische Mathematik

Year:

1991

Language:

english

File:

PDF, 1.09 MB

english, 1991

5

Some remarks on a class of rational approximations to the cosine

Vassilios A. Dougalis, Steven M. Serbin

Journal:

BIT Numerical Mathematics

Year:

1980

Language:

english

File:

PDF, 413 KB

english, 1980

6

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

Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian, William R. McKinney

Journal:

Applied Numerical Mathematics

Year:

1992

Language:

english

File:

PDF, 2.14 MB

english, 1992

7

On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations

Garth A. Baker, Vassilios A. Dougalis, Ohannes Karakashian

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1980

Language:

english

File:

PDF, 1.16 MB

english, 1980

8

Finite difference discretizations of some initial and boundary value problems with interface

Akrivis, Georgios D., Dougalis, Vassilios A.

Journal:

Mathematics of Computation

Year:

1991

Language:

english

File:

PDF, 1.27 MB

english, 1991

9

On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation

Vassilios A. Dougalis and Ohannes A. Karakashian

Journal:

Mathematics of Computation

Year:

1985

File:

PDF, 395 KB

1985

10

On the $L^\infty$-Convergence of Galerkin Approximations for Second-Order Hyperbolic Equations

Garth A. Baker and Vassilios A. Dougalis

Journal:

Mathematics of Computation

Year:

1980

Language:

english

File:

PDF, 1.23 MB

english, 1980

11

[Numerical Insights] Effective Computational Methods for Wave Propagation Volume 20080225 || Theory and Numerical Analysis of Boussinesq Systems

Dougalis, Vassilios, Kampanis, Nikolaos, Ekaterinaris, John

Year:

2008

Language:

english

File:

PDF, 1.91 MB

english, 2008

12

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

Jerry L Bona, Vassilios A Dougalis

Journal:

Journal of Mathematical Analysis and Applications

Year:

1980

Language:

english

File:

PDF, 934 KB

english, 1980

13

On the efficiency of some fully discrete Galerkin methods for second-order hyperbolic equations

Vassilios A. Dougalis, Steven M. Serbin

Journal:

Computers & Mathematics with Applications

Year:

1981

Language:

english

File:

PDF, 1.46 MB

english, 1981

14

Fully discrete galerkin methods for the korteweg-de vries equation

Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian

Journal:

Computers & Mathematics with Applications

Year:

1986

Language:

english

File:

PDF, 1.59 MB

english, 1986

15

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

Beatrice Pelloni, Vassilios A. Dougalis

Journal:

Applied Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 112 KB

english, 2001

16

Numerical solution of hydrodynamic problems

Garrett Birkhoff, Vassilios A. Dougalis

Journal:

Mathematics and Computers in Simulation

Year:

1975

Language:

english

File:

PDF, 478 KB

english, 1975

17

An approximation theorem for second-order evolution equations

Garth A. Baker, Vassilios A. Dougalis, Steven M. Serbin

Journal:

Numerische Mathematik

Year:

1980

Language:

english

File:

PDF, 615 KB

english, 1980

18

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

Baker, Garth A., Dougalis, Vassilios A.

Journal:

SIAM Journal on Numerical Analysis

Year:

1976

Language:

english

File:

PDF, 1.30 MB

english, 1976

19

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

Dougalis, Vassilios A., Serbin, Steven M.

Journal:

SIAM Journal on Numerical Analysis

Year:

1980

Language:

english

File:

PDF, 1.37 MB

english, 1980

20

On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation

Karakashian, Ohannes, Akrivis, Georgios D., Dougalis, Vassilios A.

Journal:

SIAM Journal on Numerical Analysis

Year:

1993

Language:

english

File:

PDF, 1.91 MB

english, 1993

21

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

Garth A. Baker and Vassilios A. Dougalis

Journal:

SIAM Journal on Numerical Analysis

Year:

1976

Language:

english

File:

PDF, 1.17 MB

english, 1976

22

On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation

Ohannes Karakashian, Georgios D. Akrivis and Vassilios A. Dougalis

Journal:

SIAM Journal on Numerical Analysis

Year:

1993

Language:

english

File:

PDF, 483 KB

english, 1993

23

On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations

Baker, Garth A., Dougalis, Vassilios A., Karakashian, Ohannes A.

Journal:

Mathematics of Computation

Year:

1982

Language:

english

File:

PDF, 2.59 MB

english, 1982

24

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

Antonopoulou, Dimitra C., Dougalis, Vassilios A., Zouraris, Georgios E.

Journal:

Numerical Methods for Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 263 KB

english, 2013

25

On some high-order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation

Dougalis, Vassilios A., Karakashian, Ohannes A.

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 1.38 MB

english, 1985

26

On the $L\sp{\infty }$-convergence of Galerkin approximations for second-order hyperbolic equations

Baker, Garth A., Dougalis, Vassilios A.

Journal:

Mathematics of Computation

Year:

1980

Language:

english

File:

PDF, 1.50 MB

english, 1980

27

A FINITE ELEMENT CODE FOR THE NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION IN AXIALLY SYMMETRIC WAVEGUIDES WITH INTERFACES

KAMPANIS, NIKOLAOS A., DOUGALIS, VASSILIOS A.

Journal:

Journal of Computational Acoustics

Year:

1999

Language:

english

File:

PDF, 469 KB

english, 1999

28

Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

Laurence A. Bales and Vassilios A. Dougalis

Journal:

Mathematics of Computation

Year:

1989

Language:

english

File:

PDF, 382 KB

english, 1989

29

Multistep-Galerkin Methods for Hyperbolic Equations

Vassilios A. Dougalis

Journal:

Mathematics of Computation

Year:

1979

Language:

english

File:

PDF, 1.35 MB

english, 1979

30

Convergence of Galerkin approximations for the Korteweg-de Vries equation

Baker, Garth A., Dougalis, Vassilios A., Karakashian, Ohannes A.

Journal:

Mathematics of Computation

Year:

1983

Language:

english

File:

PDF, 1.09 MB

english, 1983

31

ON GALERKIN METHODS FOR THE WIDE-ANGLE PARABOLIC EQUATION

AKRIVIS, GEORGIOS D., DOUGALIS, VASSILIOS A., KAMPANIS, NIKOLAOS A.

Journal:

Journal of Computational Acoustics

Year:

1994

Language:

english

File:

PDF, 628 KB

english, 1994

32

FINITE ELEMENT METHODS FOR THE PARABOLIC EQUATION WITH INTERFACES

DOUGALIS, VASSILIOS A., KAMPANIS, NIKOLAOS A.

Journal:

Journal of Computational Acoustics

Year:

1996

Language:

english

File:

PDF, 2.67 MB

english, 1996

33

On Some High-Order Accurate Fully Discrete Galerkin Methods for the Korteweg-de Vries Equation

Vassilios A. Dougalis and Ohannes A. Karakashian

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 395 KB

english, 1985

34

Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

Laurence A. Bales and Vassilios A. Dougalis

Journal:

Mathematics of Computation

Year:

1989

Language:

english

File:

PDF, 438 KB

english, 1989

35

Convergence of Galerkin Approximations for the Korteweg-de Vries Equation

Garth A. Baker, Vassilios A. Dougalis and Ohannes A. Karakashian

Journal:

Mathematics of Computation

Year:

1983

Language:

english

File:

PDF, 390 KB

english, 1983

36

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

Garth A. Baker, Vassilios A. Dougalis and Ohannes A. Karakashian

Journal:

Mathematics of Computation

Year:

1982

Language:

english

File:

PDF, 732 KB

english, 1982

37

Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients

Laurence A. Bales, Vassilios A. Dougalis and Steven M. Serbin

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 2.58 MB

english, 1985

38

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

Vassilios A. Dougalis and Steven M. Serbin

Journal:

SIAM Journal on Numerical Analysis

Year:

1980

Language:

english

File:

PDF, 1.09 MB

english, 1980

39

Preface [Special issue: NumAn 2014]

Akrivis, Georgios D., Dougalis, Vassilios A., Gallopoulos, Efstratios, Hadjidimos, Apostolos, Kotsireas, Ilias S., Noutsos, Dimitrios, Saridakis, Yiannis G., Vrahatis, Michael N.

Journal:

Applied Numerical Mathematics

Year:

2016

Language:

english

File:

PDF, 169 KB

english, 2016

40

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

Flouri, Evangelia T., Dougalis, Vassilios A., Synolakis, Costas E.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2016

Language:

english

File:

PDF, 489 KB

english, 2016

41

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

Dougalis, Vassilios A., Mitsotakis, Dimitrios E., Saut, Jean-Claude

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 2.54 MB

english, 2007

42

High order accurate two-step approximations for hyperbolic equations

Baker, Garth A., Dougalis, Vassilios A., Serbin, Steven M.

Journal:

RAIRO. Analyse numérique

Year:

1979

File:

PDF, 1.63 MB

1979

43

Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods

Akrivis, Georgios, Dougalis, Vassilios A., Karakashian, Ohannes

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

1997

File:

PDF, 2.46 MB

1997

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