Bernard Bialecki

发表

A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2007, J. Sci. Comput..

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, 2015, Numerical Algorithms.

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations

Bernard Bialecki, Andreas Karageorghis, 2012, Numerical Algorithms.

Modified nodal cubic spline collocation for biharmonic equations

Bernard Bialecki, Abeer Ali Abushama, 2007, Numerical Algorithms.

Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions

Bernard Bialecki, Ryan I. Fernandes, 2016, Numerical Algorithms.

Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems

Bernard Bialecki, Karin A. Remington, K. Remington, 1995, SIAM J. Sci. Comput..

ADI spectral collocation methods for parabolic problems

Javier de Frutos, Bernard Bialecki, 2010, J. Comput. Phys..

Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems

Graeme Fairweather, Bernard Bialecki, Bingkun Li, 2001, SIAM J. Numer. Anal..

Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics

Weiwei Sun, Graeme Fairweather, Bernard Bialecki, 2008, Numerical Algorithms.

Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations

Bernard Bialecki, B. Bialecki, 1994, SIAM J. Sci. Comput..

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2002, SIAM J. Sci. Comput..

Modified Nodal Cubic Spline Collocation For Poisson's Equation

Bernard Bialecki, Abeer Ali Abushama, B. Bialecki, 2007, SIAM J. Numer. Anal..

A quadratic spline collocation method for the Dirichlet biharmonic problem

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2019, Numerical Algorithms.

Nonoverlapping domain decomposition with cross points for orthogonal spline collocation

Bernard Bialecki, Maksymilian Dryja, 2008, J. Num. Math..

Matrix decomposition algorithms for elliptic boundary value problems: a survey

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2011, Numerical Algorithms.

Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation

Bernard Bialecki, B. Bialecki, 1994, Numerical Algorithms.

Orthogonal Spline Collocation for Nonlinear Dirichlet Problems

Bernard Bialecki, Rakhim Aitbayev, 2000, SIAM J. Numer. Anal..

A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems

Bernard Bialecki, Rakhim Aitbayev, 2003, SIAM J. Numer. Anal..

Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1995, SIAM J. Sci. Comput..

An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons

Bernard Bialecki, Ryan I. Fernandes, 2006, SIAM J. Sci. Comput..

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains

Graeme Fairweather, Bernard Bialecki, Ryan I. Fernandes, 2015, J. Comput. Phys..

Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk

Bernard Bialecki, Andreas Karageorghis, 2008, J. Comput. Phys..

Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2015, J. Sci. Comput..

Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2005, SIAM J. Sci. Comput..

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2010, SIAM J. Sci. Comput..

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2000, SIAM J. Sci. Comput..

A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems

Bernard Bialecki, Maksymilian Dryja, 2003, SIAM J. Numer. Anal..

Guest editors' preface: Issue dedicated to Professor Frank Stenger

R. Baker Kearfott, Bernard Bialecki, Christopher A. Sikorski, 2009, J. Complex..

Orthogonal spline collocation methods for biharmonic problems

Graeme Fairweather, Bernard Bialecki, Zhou-Ming Lou, 1998, Numerische Mathematik.

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle

Bernard Bialecki, Andreas Karageorghis, 2004, Numerical Algorithms.

A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2018, Numerical Algorithms.

A fourth order finite difference method for the Dirichlet biharmonic problem

Bernard Bialecki, 2012, Numerical Algorithms.

An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations

Bernard Bialecki, Ryan I. Fernandes, 2009, SIAM J. Numer. Anal..

The Extrapolated Crank–Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions

Juan C. López-Marcos, Graeme Fairweather, Bernard Bialecki, 2015, J. Sci. Comput..

Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set

Bernard Bialecki, Ryan I. Fernandes, Maxsymillian Dryja, 2021, Math. Comput..

An Orthogonal Spline Collocation Alternating Direction Implicit Crank--Nicolson Method for Linear Parabolic Problems on Rectangles

Bernard Bialecki, Ryan I. Fernandes, B. Bialecki, 1999 .

Modified nodal cubic spline collocation for elliptic equations

Bernard Bialecki, B. Bialecki, Zhongben Wang, 2012 .

Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1993 .

A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

Bernard Bialecki, Andreas Karageorghis, A. Karageorghis, 2000 .

Sinc-type approximations in H 1 -norm with applications to boundary value problems

Bernard Bialecki, 1989 .

H 1 -norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems

Bernard Bialecki, Xiao-Chuan Cai, 1994 .

Sinc-Collection Methods for Two-Point Boundary Value Problems

Bernard Bialecki, B. Bialecki, 1991 .

An alternating direction implicit method for orthogonal spline collocation linear systems

Bernard Bialecki, 1991 .

A fast domain decomposition Poisson solver on a rectangle for Hermite bicubic orthogonal spline collocation

Bernard Bialecki, 1993 .

Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems

Bernard Bialecki, 1998 .

A modified sinc quadrature rule for functions with poles near the arc of integration

Bernard Bialecki, B. Bialecki, 1989 .

The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

Bernard Bialecki, G. Fairweather, J. C. López-Marcos, 2013 .

Multilevel additive and multiplicative methods for orthogonal spline collocation problems

Bernard Bialecki, Maksymilian Dryja, B. Bialecki, 1997 .

Orthogonal spline collocation Laplace-modified and alternating-direction methods for parabolic problems on rectangles

Bernard Bialecki, Ryan I. Fernandes, B. Bialecki, 1993 .

Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables

Graeme Fairweather, Bernard Bialecki, Bingkun Li, 1998 .

Sinc Quadratures for Cauchy Principal Value Integrals

Bernard Bialecki, B. Bialecki, 1992 .

Optimal superconvergent one step quadratic spline collocation methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

OPTIMAL SUPERCONVERGENT ONE STEP QUADRATIC SPLINE COLLOCATION METHODS FOR HELMHOLTZ PROBLEMS

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles

Bernard Bialecki, B. Bialecki, 2003 .

Fourier analysis of schwarz alternating methods for piecewise hermite bicubic orthogonal spline collocation

Bernard Bialecki, D. Scott Dillery, 1993 .

Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

Bernard Bialecki, Ryan I. Fernandes, B. Bialecki, 2013 .

Superconvergence of the orthogonal spline collocation solution of Poisson's equation

Bernard Bialecki, 1999 .

An orthogonal spline collocation alternating direction implicit method for second‐order hyperbolic problems

Bernard Bialecki, Ryan I. Fernandes, 2003 .

Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1992 .