Graeme Fairweather

39 papers Journal 39
YearRankTypeTitle / Venue / Authors
2024 J jnl
An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface.
Comput. Math. Appl.
Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather
2024 J jnl
An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation.
Numer. Algorithms
Morrakot Khebchareon, Amiya K. Pani, Graeme Fairweather, Ryan I. Fernandes
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
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces.
J. Comput. Appl. Math.
Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather
2020 J jnl
A quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis, Jonathan Maack
2020 J jnl
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces.
Math. Comput. Simul.
Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather
2019 J jnl
Performance analysis of error-control B-spline Gaussian collocation software for PDEs.
Comput. Math. Appl.
Jack Pew, Zhi Li, Connor Tannahill, Paul H. Muir, Graeme Fairweather
2015 J jnl
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term.
J. Sci. Comput.
Morrakot Khebchareon, Amiya Kumar Pani, Graeme Fairweather
2015 J jnl
An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation.
J. Sci. Comput.
Graeme Fairweather, Xuehua Yang, Da Xu, Haixiang Zhang
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
Matrix decomposition algorithms for arbitrary order C
J. Comput. Appl. Math.
Kui Du, Graeme Fairweather, Weiwei Sun
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
2012 J jnl
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems.
J. Comput. Phys.
Ryan I. Fernandes, Graeme Fairweather
2011 J jnl
Compact optimal quadratic spline collocation methods for the Helmholtz equation.
J. Comput. Phys.
Graeme Fairweather, Andreas Karageorghis, Jon Maack
2011 J jnl
Matrix decomposition algorithms for elliptic boundary value problems: a survey.
Numer. Algorithms
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
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
2007 J jnl
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term.
SIAM J. Numer. Anal.
Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes
2006 J jnl
Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods.
SIAM J. Numer. Anal.
Graeme Fairweather, Qun Lin, Yanping Lin, Junping Wang, Shuhua Zhang
2005 J jnl
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems.
Adv. Comput. Math.
Graeme Fairweather, Andreas Karageorghis, Yiorgos Sokratis Smyrlis
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
Algorithms for Almost Block Diagonal Linear Systems.
SIAM Rev.
Graeme Fairweather, Ian Gladwell
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
An
SIAM J. Numer. Anal.
Amiya Kumar Pani, Graeme Fairweather
2002 J jnl
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems.
SIAM J. Numer. Anal.
Bingkun Li, Graeme Fairweather, Bernard Bialecki
2000 J jnl
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications.
Numer. Linear Algebra Appl.
Pierluigi Amodio, J. R. Cash, George Roussos, R. W. Wright, Graeme Fairweather, Ian Gladwell, G. L. Kraut, Marcin Paprzycki
1998 J jnl
Orthogonal spline collocation methods for biharmonic problems.
Numerische Mathematik
Zhou-Ming Lou, Bernard Bialecki, Graeme Fairweather
1998 J jnl
The method of fundamental solutions for elliptic boundary value problems.
Adv. Comput. Math.
Graeme Fairweather, Andreas Karageorghis
1996 J jnl
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions.
Adv. Comput. Math.
Graeme Fairweather, Juan C. López-Marcos
1995 J jnl
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems.
SIAM J. Sci. Comput.
Bernard Bialecki, Graeme Fairweather
1992 J jnl
A Parallel Boundary Value ODE Code for Shared-Memory Machines.
Int. J. High Speed Comput.
Karin Remington Bennett, Graeme Fairweather
1992 J jnl
Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions.
ACM Trans. Math. Softw.
Fouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett
1992 J jnl
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions.
ACM Trans. Math. Softw.
Fouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett
1991 J jnl
The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems.
SIAM J. Sci. Comput.
Graeme Fairweather, Rick D. Saylor
1988 J jnl
Remark on "Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination".
ACM Trans. Math. Softw.
J. C. Diaz, Graeme Fairweather, Patrick Keast
1983 J jnl
Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination.
ACM Trans. Math. Softw.
J. C. Diaz, Graeme Fairweather, Patrick Keast
1983 J jnl
FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination.
ACM Trans. Math. Softw.
J. C. Diaz, Graeme Fairweather, Patrick Keast
1978 J jnl
An Investigation of Romberg Quadrature.
ACM Trans. Math. Softw.
Graeme Fairweather
1966 J jnl
Some Computational Results of an Improved A.D.I. Method for the Dirichlet Problem.
Comput. J.
Graeme Fairweather, Andrew R. Mitchell
1964 J jnl
A generalized alternating direction method of Douglas-Rachford type for solving the biharmonic equation.
Comput. J.
Graeme Fairweather, Andrew R. Mitchell