B. Bialecki

发表

A Petrov–Galerkin method with quadrature for elliptic boundary value problems

K. Mustapha, B. Bialecki, M. Ganesh, 2004 .

Orthogonal spline collocation methods for partial di erential equations

G. Fairweather, B. Bialecki, 2001 .

Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations

B. Bialecki, Nick Fisher, 2020 .

Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable

B. Bialecki, Nick Fisher, 2018, Journal of Difference Equations and Applications.

Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

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

Sinc-Collection Methods for Two-Point Boundary Value Problems

Bernard Bialecki, B. Bialecki, 1991 .

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

Bernard Bialecki, B. Bialecki, 2003 .

Multilevel additive and multiplicative methods for orthogonal spline collocation problems

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

An Additive Schwarz Algorithm for Piecewise Hermite Bicubic Orthogonal Spline Collocation

G. Fairweather, B. Bialecki, X.-C. Cai, 1994 .

Numerical methods for solving the Hartree-Fock equations of diatomic molecules I.

T. Ericsson, J. Santos, B. Bialecki, 2016 .

A Petrov‐Galerkin method with quadrature for semi‐linear second‐order hyperbolic problems

K. Mustapha, B. Bialecki, M. Ganesh, 2006 .

A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

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

Spline collocation calculation for

G. Fairweather, B. Bialecki, J. Morrison, 1996 .

Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for

C. S. Chen, Zhangxing, Eric A. Machorro, 2022 .

1. g From finite differences to finite elements: A short history of numerical analysis of partial differential

W. Dahmen, V. Thomée, G. Fairweather, 2003 .

Numerical solutions of the orbital equations for diatomic molecules

G. Fairweather, B. Bialecki, J. Morrison, 2000 .

Machines over a Larger Network

G. Fairweather, P. Keast, B. Bialecki, 2022 .

Convergence Analysis of the Finite Difference ADI Scheme for Variable Coefficient Parabolic Problems with Nonzero Dirichlet Boundary Conditions

B. Bialecki, R. Fernandes, M. Dryja, 2018, Computational Mathematics and Mathematical Physics.

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..

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

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

Sinc Quadratures for Cauchy Principal Value Integrals

Bernard Bialecki, B. Bialecki, 1992 .

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 Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems

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

Optimal superconvergent one step quadratic spline collocation methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations

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

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

Bernard Bialecki, B. Bialecki, 1994, 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..

Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations

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

Matrix decomposition algorithms for elliptic boundary value problems: a survey

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

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

Graeme Fairweather, Bernard Bialecki, Bingkun Li, 1998 .

A sinc-Hunter quadrature rule for Cauchy principal value integrals

B. Bialecki, 1990 .

A sinc quadrature subroutine for Cauchy principal value integrals

P. Keast, B. Bialecki, 1999 .

A sinc quadrature rule for Hadamard finite-part integrals

B. Bialecki, 1990 .

Sinc-Nystro¨m method for numerical solution of a dominant system of Cauchy singular integral equations given on a piecewise smooth contour

B. Bialecki, 1989 .

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

Bernard Bialecki, B. Bialecki, 1989 .

Sinc-Nyström method for numerical solution of one-dimensional Cauchy singular integral equation given on a smooth arc in the complex plane

F. Stenger, B. Bialecki, 1988 .

Modified Nodal Cubic Spline Collocation For Poisson's Equation

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

Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems

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

A quadratic spline collocation method for the Dirichlet biharmonic problem

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

Modified nodal cubic spline collocation for elliptic equations

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

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems

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

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

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

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

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

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

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

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

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

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem

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