Bernard Bialecki

36 papers Journal 36
YearRankTypeTitle / Venue / Authors
2022 J jnl
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2021 J jnl
Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set.
Math. Comput.
Bernard Bialecki, Maksymilian Dryja, Ryan I. Fernandes
2020 J jnl
A quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis, Jonathan Maack
2018 J jnl
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients.
Numer. Algorithms
Bernard Bialecki, Andreas Karageorghis
2017 J jnl
Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions.
Numer. Algorithms
Bernard Bialecki, Ryan I. Fernandes
2015 J jnl
A fast direct solver for a fourth order finite difference scheme for Poisson's equation on the unit disc in polar coordinates.
Numer. Algorithms
Bernard Bialecki, Lyndsey Wright
2015 J jnl
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains.
J. Comput. Phys.
Ryan I. Fernandes, Bernard Bialecki, Graeme Fairweather
2015 J jnl
Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients.
J. Sci. Comput.
Bernard Bialecki, Andreas Karageorghis
2015 J jnl
The Extrapolated Crank-Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions.
J. Sci. Comput.
Bernard Bialecki, Graeme Fairweather, Juan C. López-Marcos
2013 J jnl
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations.
Numer. Algorithms
Bernard Bialecki, Andreas Karageorghis
2012 J jnl
A fourth order finite difference method for the Dirichlet biharmonic problem.
Numer. Algorithms
Bernard Bialecki
2011 J jnl
Matrix decomposition algorithms for elliptic boundary value problems: a survey.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2010 J jnl
ADI spectral collocation methods for parabolic problems.
J. Comput. Phys.
Bernard Bialecki, Javier de Frutos
2010 J jnl
Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations.
SIAM J. Sci. Comput.
Bernard Bialecki, Andreas Karageorghis
2009 J jnl
An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations.
SIAM J. Numer. Anal.
Bernard Bialecki, Ryan I. Fernandes
2009 J jnl
Guest editors' preface: Issue dedicated to Professor Frank Stenger.
J. Complex.
Bernard Bialecki, R. Baker Kearfott, Krzysztof A. Sikorski, Masaki Sugihara
2009 J jnl
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, David B. Knudson, D. Abram Lipman, Que N. Nguyen, Weiwei Sun, Gadalia M. Weinberg
2008 J jnl
Nonoverlapping domain decomposition with cross points for orthogonal spline collocation.
J. Num. Math.
Bernard Bialecki, Maksymilian Dryja
2008 J jnl
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk.
J. Comput. Phys.
Bernard Bialecki, Andreas Karageorghis
2007 J jnl
A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems.
J. Sci. Comput.
Bernard Bialecki, Andreas Karageorghis
2007 J jnl
Modified Nodal Cubic Spline Collocation For Poisson's Equation.
SIAM J. Numer. Anal.
Abeer Ali Abushama, Bernard Bialecki
2006 J jnl
An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons.
SIAM J. Sci. Comput.
Bernard Bialecki, Ryan I. Fernandes
2006 J jnl
Modified nodal cubic spline collocation for biharmonic equations.
Numer. Algorithms
Abeer Ali Abushama, Bernard Bialecki
2005 J jnl
Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods.
SIAM J. Sci. Comput.
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2004 J jnl
Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle.
Numer. Algorithms
Bernard Bialecki, Andreas Karageorghis
2003 J jnl
A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems.
SIAM J. Numer. Anal.
Bernard Bialecki, Maksymilian Dryja
2003 J jnl
A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems.
SIAM J. Numer. Anal.
Rakhim Aitbayev, Bernard Bialecki
2003 J jnl
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems.
SIAM J. Sci. Comput.
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
2002 J jnl
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems.
SIAM J. Numer. Anal.
Bingkun Li, Graeme Fairweather, Bernard Bialecki
2001 J jnl
A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem.
SIAM J. Sci. Comput.
Bernard Bialecki, Andreas Karageorghis
2000 J jnl
Orthogonal Spline Collocation for Nonlinear Dirichlet Problems.
SIAM J. Numer. Anal.
Rakhim Aitbayev, Bernard Bialecki
1998 J jnl
Orthogonal spline collocation methods for biharmonic problems.
Numerische Mathematik
Zhou-Ming Lou, Bernard Bialecki, Graeme Fairweather
1995 J jnl
Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems.
SIAM J. Sci. Comput.
Bernard Bialecki, Karin A. Remington
1995 J jnl
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems.
SIAM J. Sci. Comput.
Bernard Bialecki, Graeme Fairweather
1994 J jnl
Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation.
Numer. Algorithms
Bernard Bialecki
1994 J jnl
Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations.
SIAM J. Sci. Comput.
Bernard Bialecki