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Bernard Bialecki
Person information
- affiliation: Colorado School of Mines, Golden, CO, USA
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2020 – today
- 2022
- [j36]Bernard Bialecki, Graeme Fairweather
, Andreas Karageorghis
:
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 91(3): 1115-1143 (2022) - 2021
- [j35]Bernard Bialecki, Maksymilian Dryja, Ryan I. Fernandes
:
Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set. Math. Comput. 90(332): 2757-2784 (2021) - 2020
- [j34]Bernard Bialecki, Graeme Fairweather
, Andreas Karageorghis
, Jonathan Maack
:
A quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 83(1): 165-199 (2020)
2010 – 2019
- 2018
- [j33]Bernard Bialecki, Andreas Karageorghis
:
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Numer. Algorithms 77(2): 491-516 (2018) - 2017
- [j32]Bernard Bialecki, Ryan I. Fernandes
:
Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions. Numer. Algorithms 74(4): 1083-1100 (2017) - 2015
- [j31]Ryan I. Fernandes
, Bernard Bialecki, Graeme Fairweather:
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains. J. Comput. Phys. 299: 561-580 (2015) - [j30]Bernard Bialecki, Andreas Karageorghis
:
Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients. J. Sci. Comput. 62(1): 78-121 (2015) - [j29]Bernard Bialecki, Graeme Fairweather, Juan C. López-Marcos
:
The Extrapolated Crank-Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions. J. Sci. Comput. 62(1): 265-283 (2015) - [j28]Bernard Bialecki, Lyndsey Wright:
A fast direct solver for a fourth order finite difference scheme for Poisson's equation on the unit disc in polar coordinates. Numer. Algorithms 70(4): 727-751 (2015) - 2013
- [j27]Bernard Bialecki, Andreas Karageorghis
:
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations. Numer. Algorithms 64(2): 349-383 (2013) - 2012
- [j26]Bernard Bialecki:
A fourth order finite difference method for the Dirichlet biharmonic problem. Numer. Algorithms 61(3): 351-375 (2012) - 2011
- [j25]Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
:
Matrix decomposition algorithms for elliptic boundary value problems: a survey. Numer. Algorithms 56(2): 253-295 (2011) - 2010
- [j24]Bernard Bialecki, Javier de Frutos
:
ADI spectral collocation methods for parabolic problems. J. Comput. Phys. 229(13): 5182-5193 (2010) - [j23]Bernard Bialecki, Andreas Karageorghis
:
Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations. SIAM J. Sci. Comput. 32(5): 2995-3019 (2010)
2000 – 2009
- 2009
- [j22]Bernard Bialecki, R. Baker Kearfott, Krzysztof A. Sikorski, Masaki Sugihara:
Guest editors' preface: Issue dedicated to Professor Frank Stenger. J. Complex. 25(3): 233-236 (2009) - [j21]Bernard Bialecki, Graeme Fairweather, David B. Knudson, D. Abram Lipman, Que N. Nguyen, Weiwei Sun
, Gadalia M. Weinberg:
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Numer. Algorithms 52(1): 1-23 (2009) - [j20]Bernard Bialecki, Ryan I. Fernandes
:
An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations. SIAM J. Numer. Anal. 47(5): 3429-3450 (2009) - 2008
- [j19]Bernard Bialecki, Andreas Karageorghis
:
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. J. Comput. Phys. 227(19): 8588-8603 (2008) - [j18]Bernard Bialecki, Maksymilian Dryja:
Nonoverlapping domain decomposition with cross points for orthogonal spline collocation. J. Num. Math. 16(2): 83-106 (2008) - 2007
- [j17]Bernard Bialecki, Andreas Karageorghis
:
A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. J. Sci. Comput. 32(2): 373-409 (2007) - [j16]Abeer Ali Abushama, Bernard Bialecki:
Modified Nodal Cubic Spline Collocation For Poisson's Equation. SIAM J. Numer. Anal. 46(1): 397-418 (2007) - 2006
- [j15]Abeer Ali Abushama, Bernard Bialecki:
Modified nodal cubic spline collocation for biharmonic equations. Numer. Algorithms 43(4): 331-353 (2006) - [j14]Bernard Bialecki, Ryan I. Fernandes
:
An Alternating-Direction Implicit Orthogonal Spline Collocation Scheme for Nonlinear Parabolic Problems on Rectangular Polygons. SIAM J. Sci. Comput. 28(3): 1054-1077 (2006) - 2005
- [j13]Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
:
Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods. SIAM J. Sci. Comput. 27(2): 575-598 (2005) - 2004
- [j12]Bernard Bialecki, Andreas Karageorghis
:
Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle. Numer. Algorithms 36(3): 203-227 (2004) - 2003
- [j11]Rakhim Aitbayev, Bernard Bialecki:
A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems. SIAM J. Numer. Anal. 41(2): 589-604 (2003) - [j10]Bernard Bialecki, Maksymilian Dryja:
A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems. SIAM J. Numer. Anal. 41(5): 1709-1728 (2003) - [j9]Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
:
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems. SIAM J. Sci. Comput. 24(5): 1733-1753 (2003) - 2002
- [j8]Bingkun Li, Graeme Fairweather, Bernard Bialecki:
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems. SIAM J. Numer. Anal. 39(6): 2045-2065 (2002) - 2001
- [j7]Bernard Bialecki, Andreas Karageorghis
:
A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem. SIAM J. Sci. Comput. 22(5): 1549-1569 (2001) - 2000
- [j6]Rakhim Aitbayev, Bernard Bialecki:
Orthogonal Spline Collocation for Nonlinear Dirichlet Problems. SIAM J. Numer. Anal. 38(5): 1582-1602 (2000)
1990 – 1999
- 1998
- [j5]Zhou-Ming Lou, Bernard Bialecki, Graeme Fairweather:
Orthogonal spline collocation methods for biharmonic problems. Numerische Mathematik 80(2): 267-303 (1998) - 1995
- [j4]Bernard Bialecki, Graeme Fairweather:
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems. SIAM J. Sci. Comput. 16(2): 330-347 (1995) - [j3]Bernard Bialecki, Karin A. Remington:
Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems. SIAM J. Sci. Comput. 16(2): 431-451 (1995) - 1994
- [j2]Bernard Bialecki:
Cyclic reduction and FACR methods for piecewise hermite bicubic orthogonal spline collocation. Numer. Algorithms 8(2): 167-184 (1994) - [j1]Bernard Bialecki:
Preconditioned Richardson and Minimal Residual Iterative Methods for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations. SIAM J. Sci. Comput. 15(3): 668-680 (1994)
Coauthor Index
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last updated on 2024-04-24 23:05 CEST by the dblp team
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