Publications
Deep Learning Solution of the Eigenvalue Problem for Differential Operators
Optimal convergence for time-dependent Linearized Kuramoto-Sivashinsky type
problems: A new Approach
Multiscale Extension for Enhancing Coarse Grid Computations
Convergence of finite difference schemes: matrix versus kernel analysis
Optimal Convergence for Time-Dependent Stokes Equation: A New Approach
Time-Dependent Two-Dimensional
Fourth-Order Problems: Optimal Convergence.
Auto-adaptive multi-scale Laplacian Pyramids for modeling non-uniform data
A Cartesian Compact Scheme for the Navier--Stokes Equations in Streamfunction Formulation in Irregular Domains.
Two directional Laplacian pyramids with application to data imputation.
Time evolution of discrete fourth-order elliptic operators.
An embedded compact scheme for
biharmonic problems in irregular domains
Missing Data Completion Using Diffusion Maps and Laplacian Pyramids,
Multi-scale kernels for Nyström based extension schemes,
A New Fourth-Order Compact Scheme for the Navier-Stokes Equations in irregular
domains,
Auto-adaptative Laplacian Pyramids
Semi-discrete time-dependent fourth-order problems on an interval:
error estimate
Auto-adaptative Laplacian Pyramids for High-dimensional Data Analysis
Fourth-order convergence of a compact scheme for the one-dimensional
biharmonic equation
Recent advances in the study of a fourth-order compact scheme for the
one-dimensional biharmonic equation
Recent Developments in the pure streamfunction formulation of the
Navier-Stokes system
Highly Accurate Discretization of the Navier-Stokes Equations
in Streamfunction Formulation
A High Order Compact Scheme for the Pure-Streamfunction Formulation of
the Navier-Stokes Equations
A compact difference scheme for the biharmonic equation in planar
irregular domains
A fast direct solver for the biharmonic problem in
rectangular grid
Convergence of a compact scheme for the pure streamfunction
formulation
of the unsteady Navier-Stokes system
Image Inpainting via Fluid Equations
A Pure-Compact Scheme for the Streamfunction Formulation of
Navier-Stokes Equations
A Compact Scheme for the Streamfunction Formulation of
Navier-Stokes Equations
Bacterial Flagellar Microhydrodynamics:
Comparative Flow over Complex Flagellar Filaments and
Analog Archimedean Screws and Cylinders
Vorticity Dynamics and Numerical Resolution of Navier-Stokes Equations
Simulation of three-dimensional turbulent flow in non-cartesian geometry
A convergent particle scheme for convection-diffusion equation
Simulation of three-dimensional turbulent flow
Vortex schemes for viscous flow
A fixed grid for vortex methods
Vortex methods for slightly viscous three dimensional flow
A new vortex scheme for viscous flows
Vortex methods for slightly viscous three dimensional flow
The spectrum and the stability of the Chebyshev collocation operator
for the small disturbance equation of transonic flow
Spectral methods for the small disturbance equation of transonic flows
Local mesh refinement with finite elements for elliptic problems
Finite Element Solution of the
Biharmonic Problem in a Region Containing a Re-Entrant Corner
Determination of a stress intensity factor using local mesh refinement
Dalia Fishelov's Publications via Google Scholar.
(with I. Ben-Shaul, L. Bar and N.Sochen)
Neural Computation, 2023, pp. 1-35.
Neural Computations, 2023, pp.1-35.
(with J.-P. Croisille )
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Vol. 429, Article number: 115229 (2023), 15 pages.
(with N. Rabin and A. Fernández )
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Vol. 427, Article number: 115116 (2023), 15 pages.
(with M. Ben-Artzi and J.-P. Croisille)
in "Spectral and High Order Methods for Partial Differential Equations",
Lecture Notes in Computational Science and Engineering.
(with J.-P. Croisillle)
J. Scientific Computing
J. Scientific Computing,
Vol. 89, Article number: 66 (2021), 32 pages.
(with J.-P. Croisillle)
Numerical Mathematics and Advanced Applications - ENUMATH 2019,
Lecture Notes in Computational Science and Engineering
Springer, Vol, 139, pp. 429-438, 2021.
(with A. Fernández, N. Rabin and J.R. Dorronsoro),
Engineering Applications of Artificial Intelligence
Vol. 93, 103682 (2020), pp. 1-12.
(with N. M. Ben-Artzi and J.-P. Croisillle)
Journal of Scientific Computing (JSC), 2019, pp. 1-23.
(with N. Rabin)
Advances in Computational Mathematics (ACOM), pp. 1-24.
(with M. Ben-Artzi and J.-P. Croisille)
Numerical Analysis Partial Differential Equations (NMPDE), Vol. 35, pp. 1429-1457 (2019).
(with N. Rabin)
2018 IEEE International Conference on the Science of Electrical
Engineering in Israel
(ICSEE), Eilat, Israel, 2018, pp. 1-5.
(with M. Ben-Artzi, J.-P. Croisille and R. Katzir)
IMA J. Numerical Analysis, Vol. 38 (2018), pp. 1475-1522.
(with M. Ben-Artzi and J.-P. Croisille)
Studies in Comp. Intel. , 2017, Proc. of the 11th Meeting of the Bulgarian Section of SIAM, Dec 22-26, 2016, pp.11-23.
(with N. Rabin),
Computational Science and Its Applications - ICCSA 2017,
17th International Conference, Trieste, Italy, July 3-6, 2017,
Proceedings, Part I,
Lecture Notes in Computer Science, pages 284-297,Springer, 2017
(with N. Rabin),
Applied Mathematics and Computation, 2017,
http://dx.doi.org/10.1016/j.amc.2017.02.025.
Computers and Mathematics with Applications, Vol. 74 (2017), pp. 6-26,
http://dx.doi.org/10.1016/j.camwa.2016.10.020.
(with A. Fernández, N. Rabin and J.R. Dorronsoro),
European Symposium on Artificial Neural Networks,
Computational Intelligence and Machine Learning
Bruges (Belgium), 27 -29 April 2016, pages 59-64.
in "Numerical Mathematics and Advanced Applications - ENUMATH 2013",
Eds. Assyr Abdulle, Simone Deparis, Daniel Kressner, Fabio Nobile,
and Marco Picasso,
Lecture Notes in Computational Science and Engineering, Vol. 103,
pp. 133-142, Springer-Verlag, 2015.
(with A. Fernández, N. Rabin and J.R. Dorronsoro),
arXiv preprint arXiv:1311.6594, May 2014.
(with M. Ben-Artzi and J.-P. Croisille)
AIP Conference Proceedings,
Vol. 1479 (2012) pp. 1101-1104.
(with M. Ben-Artzi and J.-P. Croisille)
J. Scientific Computing, Vol. 53, Issue 1 (2012), Page 55-79.
(with M. Ben-Artzi and J.-P. Croisille)
J. Scientific Computing, Vol. 45, Issue 1 (2010), pp 238-258.
(with M. Ben-Artzi and J.-P. Croisille)
in "Spectral and High Order Methods for Partial Differential Equations",
Eds. Jan S. Hesthaven and Einar M. Ronquist,
Lecture Notes in Computational Science and Engineering, 2011,
Vol. 76, pp. 189-197, Springer, 2010.
(with M. Ben-Artzi and J.-P. Croisille)
J. Scientific Computing, Vol. 42, Issue 2. pp. 216--250, 2010.
(with M. Ben-Artzi, I. Chorev and J.-P. Croisille)
SIAM J. Numerical Analysis, Vol. 47, Issue 4, pp. 3087-3108 (2009).
(with M. Ben-Artzi and J.-P. Croisille)
SIAM J. Scientific computing, Vol. 31, Issue 1, pp. 303-333, 2008.
(with M. Ben-Artzi and J.-P. Croisille)
SIAM J. Numer. Anal., Vol. 44, Issue 5, pp. 1997-2024, 2006.
(with N. Sochen)
4th IEEE International Conference on Infomation Technology, pp. 23-25, 2006.
(with M. Ben-Artzi, J-P. Croisille and S. Trachtenberg)
J. Comp. Phys., Vol. 205, No.2, pp. 640-664 (2005).
(with M. Ben-Artzi and J-P. Croisille),
Lecture Notes in Computer Science (Springer Verlag),
Vol. 2667, pp. 809-817, 2003,
M. L. Gavriova, V. Kumar, P. L'Ecuyer, C.J.K. Tan, eds.
(with S. Trachtenberg and M. Ben-Artzi),
Biophysical J., Vol. 85, No. 3, pp.1345-1357, 2003.
(with M. Ben-Artzi and S. Trachtenberg),
Mathematical Modelling and Numerical Analysis, 35(2), pp. 313-330, 2001.
J. Comp. Phys.,115, No.2: 249-266, 1994.
Preprint No. 2, The Edmund Landau Research Center for Research in Mathematical Analysis, 1993.
in the Proceedings of the 24-th Israel Conference on Mechanical
Engineering, May 1992.
in "Vortex Dynamics and Vortex Methods", Lectures in Applied Mathematics,
Christopher R. Anderson and Claude Greengards, eds., Vol.28:153-164,1991.
Lawrence Berkeley Laboratory Report-27489,1990.
SIAM J. Sci. and Stat. Comput., 11, No. 3:399-424,1990.
J. Comput. Phys., 86, No.1:211-244,1990.
in Proceedings of the 11 International Conference on Numerical
Methods in Fluid Dynamics, June 1988, Williamsburg, Virginia (Springer Verlag)
D.L. Dwoyer, M.Y. Hussaini and R.G. Voigt eds., pp. 256-261.
Math. Comput., 51, No. 184:559-579, 1988.
SIAM, J. Sci. and Stat. Comput., 9,No. 2: 232-251, 1988.
J. Comput. Phys., Vol. 29, 9:pp. 133-140, 1978.
M. Sc., Tel-Aviv University, 1978.
in The Mathematics of Finite Element and Applications,
J.R. Whiteman, pp. 55-64, 1978.