Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation. - Bernard Bialecki (Numer. Algorithms, 1994)

Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations. - Bernard Bialecki (SIAM J. Sci. Comput., 1994)

Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems. - Bernard Bialecki; Graeme Fairweather (SIAM J. Sci. Comput., 1995)

Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems. - Bernard Bialecki; Karin A. Remington (SIAM J. Sci. Comput., 1995)

Orthogonal spline collocation methods for biharmonic problems. - Zhou-Ming Lou; Bernard Bialecki; Graeme Fairweather (Numerische Mathematik, 1998)

Orthogonal Spline Collocation for Nonlinear Dirichlet Problems. - Rakhim Aitbayev; Bernard Bialecki (SIAM J. Numer. Anal., 2000)

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem. - Bernard Bialecki; Andreas Karageorghis (SIAM J. Sci. Comput., 2001)

Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems. - Bingkun Li; Graeme Fairweather; Bernard Bialecki (SIAM J. Numer. Anal., 2002)

A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems. - Rakhim Aitbayev; Bernard Bialecki (SIAM J. Numer. Anal., 2003)

A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems. - Bernard Bialecki; Maksymilian Dryja (SIAM J. Numer. Anal., 2003)

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (SIAM J. Sci. Comput., 2003)

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2004)

Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (SIAM J. Sci. Comput., 2005)

Modified nodal cubic spline collocation for biharmonic equations. - Abeer Ali Abushama; Bernard Bialecki (Numer. Algorithms, 2006)

An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons. - Bernard Bialecki; Ryan I. Fernandes (SIAM J. Sci. Comput., 2006)

A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. - Bernard Bialecki; Andreas Karageorghis (J. Sci. Comput., 2007)

Modified Nodal Cubic Spline Collocation For Poisson's Equation. - Abeer Ali Abushama; Bernard Bialecki (SIAM J. Numer. Anal., 2007)

Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. - Bernard Bialecki; Andreas Karageorghis (J. Comput. Phys., 2008)

Nonoverlapping domain decomposition with cross points for orthogonal spline collocation. - Bernard Bialecki; Maksymilian Dryja (J. Num. Math., 2008)

Guest editors' preface: Issue dedicated to Professor Frank Stenger. - Bernard Bialecki; R. Baker Kearfott; Krzysztof A. Sikorski; Masaki Sugihara (J. Complex., 2009)

Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. - Bernard Bialecki; Graeme Fairweather; David B. Knudson; D. Abram Lipman; Que N. Nguyen; Weiwei Sun 002; Gadalia M. Weinberg (Numer. Algorithms, 2009)

An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations. - Bernard Bialecki; Ryan I. Fernandes (SIAM J. Numer. Anal., 2009)

ADI spectral collocation methods for parabolic problems. - Bernard Bialecki; Javier de Frutos (J. Comput. Phys., 2010)

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations. - Bernard Bialecki; Andreas Karageorghis (SIAM J. Sci. Comput., 2010)

Matrix decomposition algorithms for elliptic boundary value problems: a survey. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (Numer. Algorithms, 2011)

A fourth order finite difference method for the Dirichlet biharmonic problem. - Bernard Bialecki (Numer. Algorithms, 2012)

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2013)

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains. - Ryan I. Fernandes; Bernard Bialecki; Graeme Fairweather (J. Comput. Phys., 2015)

The Extrapolated Crank-Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions. - Bernard Bialecki; Graeme Fairweather; Juan C. López-Marcos (J. Sci. Comput., 2015)

Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients. - Bernard Bialecki; Andreas Karageorghis (J. Sci. Comput., 2015)

A fast direct solver for a fourth order finite difference scheme for Poisson's equation on the unit disc in polar coordinates. - Bernard Bialecki; Lyndsey Wright (Numer. Algorithms, 2015)

Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions. - Bernard Bialecki; Ryan I. Fernandes (Numer. Algorithms, 2017)

A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2018)

A quadratic spline collocation method for the Dirichlet biharmonic problem. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis; Jonathan Maack (Numer. Algorithms, 2020)

Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set. - Bernard Bialecki; Maksymilian Dryja; Ryan I. Fernandes (Math. Comput., 2021)

An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (Numer. Algorithms, 2022)