Graeme Fairweather
Orcid: 0000-0001-6159-8948Affiliations:
- American Mathematical Society, Ann Arbor, MI, USA
- Colorado School of Mines, Department of Mathematical and Computer Science, Golden, CO, USA (former)
- University of Kentucky, Department of Mathematics, Lexington, KY, USA (former)
- University of St. Andrews, Department of Applied Mathematics, UK (PhD 1966)
According to our database1,
Graeme Fairweather
authored at least 39 papers
between 1964 and 2024.
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Bibliography
2024
An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation.
Numer. Algorithms, November, 2024
An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface.
Comput. Math. Appl., 2024
2022
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms, 2022
2021
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces.
J. Comput. Appl. Math., 2021
2020
Numer. Algorithms, 2020
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces.
Math. Comput. Simul., 2020
2019
Performance analysis of error-control B-spline Gaussian collocation software for PDEs.
Comput. Math. Appl., 2019
2015
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term.
J. Sci. Comput., 2015
An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation.
J. Sci. Comput., 2015
The Extrapolated Crank-Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions.
J. Sci. Comput., 2015
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains.
J. Comput. Phys., 2015
Matrix decomposition algorithms for arbitrary order C<sup>0</sup> tensor product finite element systems.
J. Comput. Appl. Math., 2015
2012
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems.
J. Comput. Phys., 2012
2011
Numer. Algorithms, 2011
J. Comput. Phys., 2011
2009
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics.
Numer. Algorithms, 2009
2007
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term.
SIAM J. Numer. Anal., 2007
2006
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., 2006
2005
SIAM J. Sci. Comput., 2005
Adv. Comput. Math., 2005
2004
2003
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems.
SIAM J. Sci. Comput., 2003
2002
An <i>H</i><sup>1</sup>-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term.
SIAM J. Numer. Anal., 2002
SIAM J. Numer. Anal., 2002
2000
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications.
Numer. Linear Algebra Appl., 2000
1998
Numerische Mathematik, 1998
Adv. Comput. Math., 1998
1996
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions.
Adv. Comput. Math., 1996
1995
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems.
SIAM J. Sci. Comput., 1995
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.
ACM Trans. Math. Softw., 1992
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions.
ACM Trans. Math. Softw., 1992
Int. J. High Speed Comput., 1992
1991
The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems.
SIAM J. Sci. Comput., 1991
1988
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., 1988
1983
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., 1983
FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination.
ACM Trans. Math. Softw., 1983
1978
1966
Comput. J., 1966
1964
A generalized alternating direction method of Douglas-Rachford type for solving the biharmonic equation.
Comput. J., 1964