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ORCIDGraeme 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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Journal Articles
- 2024
[j38]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)- 2022
- [j37]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
- [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, Andreas Karageorghis, Jonathan Maack:
A quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 83(1): 165-199 (2020) - 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, 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, 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, Amiya Kumar Pani, Graeme Fairweather:
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, Graeme Fairweather:
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, Jon Maack:
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) - 2009
- [j24]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) - 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, Yiorgos Sokratis Smyrlis:
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) - 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) - 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) - 1978
- [j3]Graeme Fairweather:
An Investigation of Romberg Quadrature. ACM Trans. Math. Softw. 4(4): 316-322 (1978) - 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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