Bernard Bialecki
Affiliations:- Colorado School of Mines, Golden, CO, USA
According to our database1,
Bernard Bialecki
authored at least 36 papers
between 1994 and 2022.
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Bibliography
2022
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms, 2022
2021
Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set.
Math. Comput., 2021
2020
Numer. Algorithms, 2020
2018
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients.
Numer. Algorithms, 2018
2017
Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions.
Numer. Algorithms, 2017
2015
A fast direct solver for a fourth order finite difference scheme for Poisson's equation on the unit disc in polar coordinates.
Numer. Algorithms, 2015
Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients.
J. Sci. Comput., 2015
The Extrapolated Crank-Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions.
J. Sci. Comput., 2015
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains.
J. Comput. Phys., 2015
2013
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations.
Numer. Algorithms, 2013
2012
Numer. Algorithms, 2012
2011
Numer. Algorithms, 2011
2010
SIAM J. Sci. Comput., 2010
2009
An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations.
SIAM J. Numer. Anal., 2009
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics.
Numer. Algorithms, 2009
J. Complex., 2009
2008
Nonoverlapping domain decomposition with cross points for orthogonal spline collocation.
J. Num. Math., 2008
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk.
J. Comput. Phys., 2008
2007
SIAM J. Numer. Anal., 2007
A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems.
J. Sci. Comput., 2007
2006
An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons.
SIAM J. Sci. Comput., 2006
Numer. Algorithms, 2006
2005
SIAM J. Sci. Comput., 2005
2004
Numer. Algorithms, 2004
2003
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems.
SIAM J. Sci. Comput., 2003
A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems.
SIAM J. Numer. Anal., 2003
A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems.
SIAM J. Numer. Anal., 2003
2002
SIAM J. Numer. Anal., 2002
2001
SIAM J. Sci. Comput., 2001
2000
SIAM J. Numer. Anal., 2000
1998
Numerische Mathematik, 1998
1995
Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems.
SIAM J. Sci. Comput., 1995
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems.
SIAM J. Sci. Comput., 1995
1994
Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations.
SIAM J. Sci. Comput., 1994
Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation.
Numer. Algorithms, 1994