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Graeme Fairweather
Person information
- affiliation: American Mathematical Society, Ann Arbor, MI, USA
- affiliation (former): Colorado School of Mines, Department of Mathematical and Computer Science, Golden, CO, USA
- affiliation (former): University of Kentucky, Department of Mathematics, Lexington, KY, USA
- affiliation (PhD 1966): University of St. Andrews, Department of Applied Mathematics, UK
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2020 – today
- 2024
- [j39]Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather
:
An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface. Comput. Math. Appl. 160: 142-147 (2024) - [j38]Morrakot Khebchareon, Amiya K. Pani, Graeme Fairweather, Ryan I. Fernandes:
An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. Numer. Algorithms 97(3): 1039-1066 (2024) - 2022
- [j37]Bernard Bialecki, Graeme Fairweather
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 91(3): 1115-1143 (2022) - 2021
- [j36]Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather:
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. J. Comput. Appl. Math. 383: 113119 (2021) - 2020
- [j35]Santosh Kumar Bhal, P. Danumjaya, Graeme Fairweather:
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. Math. Comput. Simul. 174: 102-122 (2020) - [j34]Bernard Bialecki, Graeme Fairweather
A quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 83(1): 165-199 (2020)
2010 – 2019
- 2019
- [j33]Jack Pew, Zhi Li, Connor Tannahill, Paul H. Muir, Graeme Fairweather:
Performance analysis of error-control B-spline Gaussian collocation software for PDEs. Comput. Math. Appl. 77(7): 1888-1901 (2019) - 2015
- [j32]Kui Du, Graeme Fairweather, Weiwei Sun
Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems. J. Comput. Appl. Math. 275: 162-182 (2015) - [j31]Ryan I. Fernandes
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, 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) - [j29]Morrakot Khebchareon
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. J. Sci. Comput. 65(3): 1166-1188 (2015) - [j28]Graeme Fairweather, Xuehua Yang, Da Xu, Haixiang Zhang
An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation. J. Sci. Comput. 65(3): 1217-1239 (2015) - 2012
- [j27]Ryan I. Fernandes
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems. J. Comput. Phys. 231(19): 6248-6267 (2012) - 2011
- [j26]Graeme Fairweather, Andreas Karageorghis
Compact optimal quadratic spline collocation methods for the Helmholtz equation. J. Comput. Phys. 230(8): 2880-2895 (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)
2000 – 2009
- 2009
- [j24]Bernard Bialecki, Graeme Fairweather, David B. Knudson, D. Abram Lipman, Que N. Nguyen, Weiwei Sun
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Numer. Algorithms 52(1): 1-23 (2009) - 2007
- [j23]Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. 46(1): 344-364 (2007) - 2006
- [j22]Graeme Fairweather, Qun Lin, Yanping Lin, Junping Wang, Shuhua Zhang
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. 44(3): 1122-1149 (2006) - 2005
- [j21]Graeme Fairweather, Andreas Karageorghis
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Adv. Comput. Math. 23(1-2): 55-71 (2005) - [j20]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
- [j19]Graeme Fairweather, Ian Gladwell:
Algorithms for Almost Block Diagonal Linear Systems. SIAM Rev. 46(1): 49-58 (2004) - 2003
- [j18]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
- [j17]Bingkun Li, Graeme Fairweather, Bernard Bialecki:
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems. SIAM J. Numer. Anal. 39(6): 2045-2065 (2002) - [j16]Amiya Kumar Pani, Graeme Fairweather:
An H1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term. SIAM J. Numer. Anal. 40(4): 1475-1490 (2002) - 2000
- [j15]Pierluigi Amodio, J. R. Cash, G. Roussos, R. W. Wright, Graeme Fairweather, Ian Gladwell, G. L. Kraut, Marcin Paprzycki
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Numer. Linear Algebra Appl. 7(5): 275-317 (2000)
1990 – 1999
- 1998
- [j14]Graeme Fairweather, Andreas Karageorghis:
The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. 9(1-2): 69-95 (1998) - [j13]Zhou-Ming Lou, Bernard Bialecki, Graeme Fairweather:
Orthogonal spline collocation methods for biharmonic problems. Numerische Mathematik 80(2): 267-303 (1998) - 1996
- [j12]Graeme Fairweather, Juan C. López-Marcos:
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Adv. Comput. Math. 6(1): 243-262 (1996) - 1995
- [j11]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) - 1992
- [j10]Karin Remington Bennett, Graeme Fairweather:
A Parallel Boundary Value ODE Code for Shared-Memory Machines. Int. J. High Speed Comput. 4(2): 71-86 (1992) - [j9]Fouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett:
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. ACM Trans. Math. Softw. 18(2): 193-204 (1992) - [j8]Fouad Majaess, Patrick Keast, Graeme Fairweather, Karin Remington Bennett:
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. 18(2): 205-210 (1992) - 1991
- [j7]Graeme Fairweather, Rick D. Saylor
The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems. SIAM J. Sci. Comput. 12(1): 127-144 (1991)
1980 – 1989
- 1988
- [j6]J. C. Diaz, Graeme Fairweather, Patrick Keast:
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. 14(2): 196 (1988) - 1983
- [j5]J. C. Diaz, Graeme Fairweather, Patrick Keast:
FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination. ACM Trans. Math. Softw. 9(3): 358-375 (1983) - [j4]J. C. Diaz, Graeme Fairweather, Patrick Keast:
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. 9(3): 376-380 (1983)
1970 – 1979
- 1978
- [j3]Graeme Fairweather:
An Investigation of Romberg Quadrature. ACM Trans. Math. Softw. 4(4): 316-322 (1978)
1960 – 1969
- 1966
- [j2]Graeme Fairweather, Andrew R. Mitchell:
Some Computational Results of an Improved A.D.I. Method for the Dirichlet Problem. Comput. J. 9(3): 298-303 (1966) - 1964
- [j1]Graeme Fairweather, Andrew R. Mitchell:
A generalized alternating direction method of Douglas-Rachford type for solving the biharmonic equation. Comput. J. 7(3): 242-245 (1964)
Coauthor Index
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