A generalized alternating direction method of Douglas-Rachford type for solving the biharmonic equation. - Graeme Fairweather; Andrew R. Mitchell (Comput. J., 1964)

Some Computational Results of an Improved A.D.I. Method for the Dirichlet Problem. - Graeme Fairweather; Andrew R. Mitchell (Comput. J., 1966)

An Investigation of Romberg Quadrature. - Graeme Fairweather (ACM Trans. Math. Softw., 1978)

FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination. - J. C. Diaz; Graeme Fairweather; Patrick Keast (ACM Trans. Math. Softw., 1983)

Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination. - J. C. Diaz; Graeme Fairweather; Patrick Keast (ACM Trans. Math. Softw., 1983)

Remark on "Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination". - J. C. Diaz; Graeme Fairweather; Patrick Keast (ACM Trans. Math. Softw., 1988)

The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems. - Graeme Fairweather; Rick D. Saylor (SIAM J. Sci. Comput., 1991)

A Parallel Boundary Value ODE Code for Shared-Memory Machines. - Karin Remington Bennett; Graeme Fairweather (Int. J. High Speed Comput., 1992)

The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. - Fouad Majaess; Patrick Keast; Graeme Fairweather; Karin Remington Bennett (ACM Trans. Math. Softw., 1992)

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. - Fouad Majaess; Patrick Keast; Graeme Fairweather; Karin Remington Bennett (ACM Trans. Math. Softw., 1992)

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

Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. - Graeme Fairweather; Juan C. López-Marcos (Adv. Comput. Math., 1996)

The method of fundamental solutions for elliptic boundary value problems. - Graeme Fairweather; Andreas Karageorghis (Adv. Comput. Math., 1998)

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

Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. - Pierluigi Amodio; J. R. Cash; G. Roussos; R. W. Wright; Graeme Fairweather; Ian Gladwell; G. L. Kraut; Marcin Paprzycki (Numer. Linear Algebra Appl., 2000)

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

An H1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term. - Amiya Kumar Pani; Graeme Fairweather (SIAM J. Numer. Anal., 2002)

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

Algorithms for Almost Block Diagonal Linear Systems. - Graeme Fairweather; Ian Gladwell (SIAM Rev., 2004)

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. - Graeme Fairweather; Andreas Karageorghis; Yiorgos Sokratis Smyrlis (Adv. Comput. Math., 2005)

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

Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods. - Graeme Fairweather; Qun Lin 001; Yanping Lin; Junping Wang; Shuhua Zhang (SIAM J. Numer. Anal., 2006)

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. - Amiya Kumar Pani; Graeme Fairweather; Ryan I. Fernandes (SIAM J. Numer. Anal., 2007)

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)

Compact optimal quadratic spline collocation methods for the Helmholtz equation. - Graeme Fairweather; Andreas Karageorghis; Jon Maack (J. Comput. Phys., 2011)

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

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems. - Ryan I. Fernandes; Graeme Fairweather (J. Comput. Phys., 2012)

Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems. - Kui Du; Graeme Fairweather; Weiwei Sun 002 (J. Comput. Appl. Math., 2015)

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)

An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation. - Graeme Fairweather; Xuehua Yang; Da Xu; Haixiang Zhang 005 (J. Sci. Comput., 2015)

Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. - Morrakot Khebchareon; Amiya Kumar Pani; Graeme Fairweather (J. Sci. Comput., 2015)

Performance analysis of error-control B-spline Gaussian collocation software for PDEs. - Jack Pew; Zhi Li; Connor Tannahill; Paul H. Muir; Graeme Fairweather (Comput. Math. Appl., 2019)

High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (Math. Comput. Simul., 2020)

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

The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (J. Comput. Appl. Math., 2021)

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

An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface. - Santosh Kumar Bhal; P. Danumjaya; Graeme Fairweather (Comput. Math. Appl., 2024)

An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. - Morrakot Khebchareon; Amiya K. Pani; Graeme Fairweather; Ryan I. Fernandes (Numer. Algorithms, 2024)