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Fairweather, Graeme

Author ID: fairweather.graeme Recent zbMATH articles by "Fairweather, Graeme"
Published as: Fairweather, Graeme; Fairweather, G.
External Links: MGP · ORCID · Wikidata · dblp
Documents Indexed: 124 Publications since 1964, including 3 Books
3 Contributions as Editor
Software Indexed: 3 Packages
Co-Authors: 80 Co-Authors with 115 Joint Publications
1,708 Co-Co-Authors
all top 5

Co-Authors

12 single-authored
21 Bialecki, Bernard
19 Karageorghis, Andreas
9 Keast, Patrick
9 Pani, Amiya Kumar
7 Fernandes, Ryan I.
7 Mitchell, Andrew Ronald
5 Diaz, Julio Cesar
5 López-Marcos, Juan Carlos
4 Bhal, Santosh Kumar
4 Danumjaya, Palla
4 Gladwell, Ian
4 Johnston, Roy L.
4 Nguyen, Que N.
4 Sun, Weiwei
3 Bennett, Karin R.
3 Dendy, Joel E. jun.
3 Gourlay, A. R.
3 Johnson, J. Peter
3 Khebchareon, Morrakot
3 Li, Bingkun
3 Robinson, Mark P.
3 Shippy, David J.
3 Yang, Xuehua
3 Zhang, Haixiang
2 Du, Kui
2 Kondapalli, Prasanna S.
2 Majaess, Fouad
2 Martin, Paul Andrew
2 Micula, Gheorghe
2 Mishra, Pankaj Kumar
2 Saylor, Annie V.
2 Seward, Wendy L.
2 Sharma, Kapil Kumar
2 Smyrlis, Yiorgos-Sokratis
2 Tankelevich, Roman
2 Xu, Da
2 Yanik, Elizabeth Greenwell
1 Amodio, Pierluigi
1 Cai, Xiao-Chuan
1 Cash, Jeff R.
1 Christie, Ian
1 Dryja, Maksymilian
1 Dupont, Todd F.
1 Greenwell-Yanik, C. E.
1 Herbst, Barend M.
1 Karageorhis, A.
1 Kasibhatla, Prasad S.
1 Knudson, David B.
1 Kraut, G. L.
1 Leimkuhler, Benedict J.
1 Li, Zhi
1 Lin, Qun
1 Lin, Yanping
1 Lipman, D. Abram
1 Lou, Zhou-Ming
1 Ma, Heping
1 Maack, Jon
1 Maack, Jonathan
1 Maede, Daniel
1 Muir, Paul H.
1 Navon, Ionel Michael
1 Paprzycki, Marcin
1 Pew, Jack
1 Qiu, Wenlin
1 Remington, Karin A.
1 Rizzo, Frank Joseph
1 Rudolphi, Thomas J.
1 Sanz-Serna, Jesús María
1 Saylor, Rick D.
1 Sloan, Ian Hugh
1 Tannahill, Connor
1 Tripathi, Lok Pati
1 Van Vleck, Erik S.
1 Vedha-Nayagam, M.
1 Wang, Junping
1 Weinberg, Gadalia M.
1 Wright, R. W.
1 Wu, Yensen S.
1 Yan, Yi
1 Zhang, Shuhua
all top 5

Serials

16 SIAM Journal on Numerical Analysis
7 IMA Journal of Numerical Analysis
7 Journal of Computational Physics
6 Mathematics of Computation
5 ACM Transactions on Mathematical Software
5 Numerische Mathematik
5 Numerical Methods for Partial Differential Equations
5 Numerical Algorithms
4 Journal of Computational and Applied Mathematics
3 Computers & Mathematics with Applications
3 International Journal for Numerical Methods in Engineering
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 SIAM Journal on Scientific Computing
3 Advances in Computational Mathematics
3 Engineering Analysis with Boundary Elements
2 Journal of the Institute of Mathematics and its Applications
2 BIT
2 The Computer Journal. Section A / Section B
2 SIAM Review
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Fluids
1 Calcolo
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Scientific and Statistical Computing
1 Numerical Heat Transfer
1 Communications in Applied Numerical Methods
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Applied Mathematical Modelling
1 Studia Universitatis Babeș-Bolyai. Mathematica
1 Revue d’Analyse Numérique et de Théorie de l’Approximation
1 Numerical Linear Algebra with Applications
1 East-West Journal of Numerical Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Journal of Computational Acoustics
1 Journal of the Society for Industrial & Applied Mathematics
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Lecture Notes in Pure and Applied Mathematics
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Advances in Applied Mathematics and Mechanics
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 2,598 times in 1,615 Documents Cited by Year
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
521
1998
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
133
2003
The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108
Karageorghis, Andreas; Fairweather, Graeme
114
1987
Finite element methods for parabolic and hyperbolic partial integro- differential equations. Zbl 0657.65142
Yanik, Elizabeth G.; Fairweather, Graeme
103
1988
Finite element Galerkin methods for differential equations. Zbl 0372.65044
Fairweather, Graeme
72
1978
Orthogonal spline collocation methods for partial differential equations. Zbl 0971.65105
Bialecki, B.; Fairweather, G.
70
2001
\(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
67
2002
Orthogonal spline collocation methods for some partial integrodifferential equations. Zbl 0756.65157
Yan, Yi; Fairweather, Graeme
56
1992
FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination. Zbl 0516.65013
Diaz, J. C.; Fairweather, G.; Keast, P.
49
1983
A new computational procedure for A.D.I. methods. Zbl 0252.65072
Fairweather, G.; Mitchell, A. R.
47
1967
An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. Zbl 1328.65216
Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang
44
2015
The method of fundamental solutions for problems in potential flow. Zbl 0546.76021
Johnston, R. L.; Fairweather, G.
43
1984
Spline collocation methods for a class of hyperbolic partial integro- differential equations. Zbl 0814.65137
Fairweather, Graeme
39
1994
Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. Zbl 1160.65068
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
39
2008
Three-level Galerkin methods for parabolic equations. Zbl 0313.65107
Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter
36
1974
ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
36
2010
The reformulation and numerical solution of certain nonclassical initial- boundary value problems. Zbl 0722.65062
Fairweather, Graeme; Saylor, Rick D.
36
1991
Orthogonal spline collocation methods for Schrödinger-type equations in one space variable. Zbl 0806.65123
Robinson, Mark P.; Fairweather, Graeme
35
1994
The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078
Karageorghis, Andreas; Fairweather, Graeme
34
1999
Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables. Zbl 0768.65067
Fernandes, Ryan I.; Fairweather, Graeme
33
1993
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
33
2011
The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005
Karageorghis, A.; Fairweather, G.
32
2000
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
31
1996
Discrete-time orthogonal spline collocation methods for Schrödinger equations in two space variables. Zbl 0911.65095
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
30
1998
Algorithms for almost block diagonal linear systems. Zbl 1062.65031
Fairweather, Graeme; Gladwell, Ian
29
2004
Analyses of spline collocation methods for parabolic and hyperbolic problems in two space variables. Zbl 0595.65122
Greenwell-Yanik, C. E.; Fairweather, G.
29
1986
Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations. Zbl 0123.12001
Mitchell, A. R.; Fairweather, G.
25
1964
The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028
Karageorghis, Andreas; Fairweather, Graeme
25
1989
The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066
Karageorghis, Andreas; Fairweather, Graeme
24
1988
Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations. Zbl 0752.65076
Bialecki, Bernard; Fairweather, Graeme; Bennett, Karin R.
23
1992
The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110
Karageorghis, A.; Fairweather, G.
23
1989
A survey of spline collocation methods for the numerical solution of differential equations. Zbl 0679.65058
Fairweather, Graeme; Maede, Daniel
23
1989
An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables. Zbl 0747.65082
Fernandes, Ryan I.; Fairweather, Graeme
22
1991
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems. Zbl 1284.65026
Fernandes, Ryan I.; Fairweather, Graeme
22
2012
A high accuracy alternating direction method for the wave equation. Zbl 0221.65180
Fairweather, G.; Mitchell, A. R.
21
1965
On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method. Zbl 0397.65080
Fairweather, Graeme; Rizzo, Frank J.; Shippy, David J.; Wu, Yensen S.
21
1979
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018
Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M.
20
2000
Alternating-direction Galerkin methods for parabolic and hyperbolic problems on rectangular polygons. Zbl 0295.65062
Dendy, J. E. jun.; Fairweather, G.
20
1975
A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392
Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da
19
2015
Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions. Zbl 0781.65031
Bialecki, Bernard; Fairweather, Graeme
19
1993
Some stable difference approximations to a fourth-order parabolic partial differential equation. Zbl 0147.13801
Fairweather, G.; Gourlay, A. R.
18
1967
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
18
2011
A box method for a nonlinear equation of population dynamics. Zbl 0734.92023
Fairweather, G.; López-Marcos, J. C.
15
1991
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains. Zbl 1352.65393
Fernandes, Ryan I.; Bialecki, Bernard; Fairweather, Graeme
15
2015
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. Zbl 0892.65051
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
14
1992
The method of fundamental solutions for transmission and scattering of elastic waves. Zbl 0825.73150
Kondapalli, Prasanna S.; Shippy, David J.; Fairweather, Graeme
14
1992
Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term. Zbl 1328.65209
Khebchareon, Morrakot; Pani, Amiya K.; Fairweather, Graeme
14
2015
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
14
2006
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
14
2006
An H\(^{1}\)-Galerkin mixed finite element method for an evolution equation with a positive-type memory term. Zbl 1047.65085
Pani, Amiya K.; Fairweather, Graeme
13
2002
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65050
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
13
1992
Matrix decomposition algorithms in orthogonal spline collocation for separable elliptic boundary value problems. Zbl 0820.65009
Bialecki, Bernard; Fairweather, Graeme
13
1995
Some high accuracy difference with a Splitting operator for equations of parabolic and elliptic type. Zbl 0148.39403
Fairweather, G.; Gourlay, A. R.; Mitchell, A. R.
13
1967
A fourth-order cubic spline method for linear second-order two-point boundary-value problems. Zbl 0790.65078
Sloan, Ian H.; Tran, Dat; Fairweather, Graeme
12
1993
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
12
2008
The method of fundamental solutions for problems in potential theory. Zbl 0511.65087
Fairweather, Graeme; Johnston, R. L.
12
1982
Discrete-time orthogonal spline collocation methods for vibration problems. Zbl 1028.74022
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
11
2002
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
11
2003
Orthogonal spline collocation methods for biharmonic problems. Zbl 0908.65103
Lou, Zhou-Ming; Bialecki, Bernard; Fairweather, Graeme
11
1998
On the eigenvalues and eigenvectors of a class of Hessenberg matrices. Zbl 0217.52603
Fairweather, G.
11
1971
A note on the efficient implementation of certain Padé methods for linear parabolic problems. Zbl 0384.65036
Fairweather, Graeme
10
1978
The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Zbl 1279.80005
Bialecki, B.; Fairweather, G.; López-Marcos, J. C.
10
2013
A survey of higher-order methods for the numerical integration of semidiscrete parabolic problems. Zbl 0561.65087
Seward, W. L.; Fairweather, G.; Johnston, R. L.
9
1984
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
9
2005
Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method. Zbl 1176.65132
Du, Kui; Fairweather, Graeme; Nguyen, Que N.; Sun, Weiwei
9
2009
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
9
2009
Galerkin and collocation methods for partial integro-differential equations. Zbl 0737.65103
Fairweather, G.
8
1991
Galerkin method for vibration problems in two space variables. Zbl 0246.65031
Fairweather, Graeme
8
1972
On the numerical solution of the cubic Schrödinger equation in one space variable. Zbl 0766.65112
Robinson, M. P.; Fairweather, G.; Herbst, B. M.
8
1993
An explicit extrapolated box scheme for the Gurtin-MacCamy equation. Zbl 0792.65108
Fairweather, G.; López-Marcos, J. C.
7
1994
Fourier methods for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0805.65107
Bialecki, Bernard; Fairweather, G.; Remington, K. A.
7
1994
A linear ADI method for the shallow-water equations. Zbl 0454.76032
Fairweather, G.; Navon, I. M.
7
1980
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
7
2008
Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
7
2005
ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. Zbl 1529.65081
Qiu, Wenlin; Fairweather, Graeme; Yang, Xuehua; Zhang, Haixiang
7
2023
A new alternating direction method for parabolic equations in three space variables. Zbl 0137.33302
Fairweather, G.; Mitchell, A. R.
6
1965
Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions. Zbl 0722.76073
Shippy, D. J.; Kondapalli, P. S.; Fairweather, G.
6
1990
The extrapolated Crank-Nicolson orthogonal spline collocation method for a quasilinear parabolic problem with nonlocal boundary conditions. Zbl 1309.65141
Bialecki, B.; Fairweather, G.; López-Marcos, J.
5
2015
An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0798.65105
Bialecki, Bernard; Cai, X.-C.; Dryja, M.; Fairweather, G.
4
1994
Orthogonal cubic spline collocation solution of underwater acoustic wave propagation problems. Zbl 1360.76291
Robinson, Mark P.; Fairweather, Graeme
4
1993
An investigation of Romberg quadrature. Zbl 0394.65008
Fairweather, Graeme; Keast, Pat
4
1978
A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan
4
2020
High-order discrete-time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction-diffusion problems. Zbl 07771401
Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Fairweather, Graeme
4
2020
Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N.
3
2008
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Zbl 1172.65062
Bialecki, Bernard; Fairweather, Graeme; Knudson, David B.; Lipman, D. Abram; Nguyen, Que N.; Sun, Weiwei; Weinberg, Gadalia M.
3
2009
Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems. Zbl 1297.65029
Du, Kui; Fairweather, Graeme; Sun, Weiwei
3
2015
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. Zbl 1456.65059
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G.
3
2021
Numerical integration. Recent developments, software and applications. (Proceedings of the NATO Advanced Research Workshop on Numerical Integration. Recent Developments, Software and Applications, Halifax, Canada, August 11-15, 1986). Zbl 0611.00023
3
1987
Direct numerical spline methods for first-order Fredholm integro- differential equations. Zbl 0799.65153
Micula, Gheorghe; Fairweather, Graeme
2
1993
On the extrapolation of Galerkin methods for parabolic problems. Zbl 0282.65080
Fairweather, G.; Johnson, J. P.
2
1975
On the approximate solution of a diffusion problem by Galerkin methods. Zbl 0428.65062
Fairweather, G.
2
1979
Convergence analyses of Crank-Nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables. Zbl 1347.65147
Khebchareon, Morrakot; Pani, Amiya Kumar; Fairweather, Graeme
2
2016
A parameter uniform orthogonal spline collocation method for singularly perturbed semilinear reaction-diffusion problems in one dimension. Zbl 07880238
Mishra, Pankaj; Fairweather, Graeme; Sharma, Kapil K.
2
2019
A fourth-order orthogonal spline collocation method for two-dimensional Helmholtz problems with interfaces. Zbl 07777674
Bhal, Santosh Kumar; Danumjaya, Palla; Fairweather, Graeme
2
2020
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. Zbl 1453.65190
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G.
2
2020
On the \(H^{-1}\)-Galerkin method for second-order linear two-point boundary value problems. Zbl 0546.65056
Fairweather, Graeme; Keast, Patrick; Diaz, Julio Cesar
1
1984
On the application of extrapolation, deferred correction and defect correction to discrete-time Galerkin methods for parabolic problems. Zbl 0573.65086
Fairweather, G.; Saylor, A. V.
1
1983
A Crank-Nicolson orthogonal spline collocation method for vibration problems. Zbl 0994.74081
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
1
2000
Some computational results of an improved A. D. I. method for the Dirichlet problem. Zbl 0148.39404
Fairweather, G.; Mitchell, A. R.
1
1966
Errata: Alternating-direction Galerkin methods for parabolic and hyperbolic problems on rectangular polygons. Zbl 0331.65078
Dendy, J. E. jun.; Fairweather, G.
1
1976
ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. Zbl 1529.65081
Qiu, Wenlin; Fairweather, Graeme; Yang, Xuehua; Zhang, Haixiang
7
2023
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. Zbl 1456.65059
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G.
3
2021
A quadratic spline collocation method for the Dirichlet biharmonic problem. Zbl 1434.65290
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Maack, Jonathan
4
2020
High-order discrete-time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction-diffusion problems. Zbl 07771401
Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Fairweather, Graeme
4
2020
A fourth-order orthogonal spline collocation method for two-dimensional Helmholtz problems with interfaces. Zbl 07777674
Bhal, Santosh Kumar; Danumjaya, Palla; Fairweather, Graeme
2
2020
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces. Zbl 1453.65190
Bhal, Santosh Kumar; Danumjaya, P.; Fairweather, G.
2
2020
A parameter uniform orthogonal spline collocation method for singularly perturbed semilinear reaction-diffusion problems in one dimension. Zbl 07880238
Mishra, Pankaj; Fairweather, Graeme; Sharma, Kapil K.
2
2019
Convergence analyses of Crank-Nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables. Zbl 1347.65147
Khebchareon, Morrakot; Pani, Amiya Kumar; Fairweather, Graeme
2
2016
An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. Zbl 1328.65216
Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang
44
2015
A backward Euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation. Zbl 1352.65392
Fairweather, Graeme; Zhang, Haixiang; Yang, Xuehua; Xu, Da
19
2015
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains. Zbl 1352.65393
Fernandes, Ryan I.; Bialecki, Bernard; Fairweather, Graeme
15
2015
Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term. Zbl 1328.65209
Khebchareon, Morrakot; Pani, Amiya K.; Fairweather, Graeme
14
2015
The extrapolated Crank-Nicolson orthogonal spline collocation method for a quasilinear parabolic problem with nonlocal boundary conditions. Zbl 1309.65141
Bialecki, B.; Fairweather, G.; López-Marcos, J.
5
2015
Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems. Zbl 1297.65029
Du, Kui; Fairweather, Graeme; Sun, Weiwei
3
2015
The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Zbl 1279.80005
Bialecki, B.; Fairweather, G.; López-Marcos, J. C.
10
2013
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems. Zbl 1284.65026
Fernandes, Ryan I.; Fairweather, Graeme
22
2012
Matrix decomposition algorithms for elliptic boundary value problems: A survey. Zbl 1208.65036
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
33
2011
Compact optimal quadratic spline collocation methods for the Helmholtz equation. Zbl 1218.65135
Fairweather, Graeme; Karageorghis, Andreas; Maack, Jon
18
2011
ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
36
2010
Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method. Zbl 1176.65132
Du, Kui; Fairweather, Graeme; Nguyen, Que N.; Sun, Weiwei
9
2009
Three-dimensional image reconstruction using the PF/MFS technique. Zbl 1244.65224
Tankelevich, R.; Fairweather, G.; Karageorghis, A.
9
2009
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics. Zbl 1172.65062
Bialecki, Bernard; Fairweather, Graeme; Knudson, David B.; Lipman, D. Abram; Nguyen, Que N.; Sun, Weiwei; Weinberg, Gadalia M.
3
2009
Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. Zbl 1160.65068
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
39
2008
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations. Zbl 1168.76037
Fairweather, Graeme; Ma, Heping; Sun, Weiwei
12
2008
Optimal superconvergent one step quadratic spline collocation methods. Zbl 1155.65089
Bialecki, B.; Fairweather, G.; Karageorghis, A.; Nguyen, Q. N.
7
2008
Optimal superconvergent one step quadratic spline collocation methods for Helmholtz problems. Zbl 1157.65470
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas; Nguyen, Que N.
3
2008
Potential field based geometric modelling using the method of fundamental solutions. Zbl 1130.65035
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
14
2006
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. Zbl 1388.76359
Fairweather, Graeme; Lin, Qun; Lin, Yanping; Wang, Junping; Zhang, Shuhua
14
2006
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Zbl 1067.65135
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis
9
2005
Optimal superconvergent one step nodal cubic spline collocation methods. Zbl 1091.65118
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
7
2005
Algorithms for almost block diagonal linear systems. Zbl 1062.65031
Fairweather, Graeme; Gladwell, Ian
29
2004
The method of fundamental solutions for scattering and radiation problems. Zbl 1060.76649
Fairweather, Graeme; Karageorghis, Andreas; Martin, P. A.
133
2003
Matrix decomposition algorithms for modified spline collocation for Helmholtz problems. Zbl 1035.65135
Bialecki, Bernard; Fairweather, Graeme; Karageorghis, Andreas
11
2003
\(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
67
2002
An H\(^{1}\)-Galerkin mixed finite element method for an evolution equation with a positive-type memory term. Zbl 1047.65085
Pani, Amiya K.; Fairweather, Graeme
13
2002
Discrete-time orthogonal spline collocation methods for vibration problems. Zbl 1028.74022
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
11
2002
Orthogonal spline collocation methods for partial differential equations. Zbl 0971.65105
Bialecki, B.; Fairweather, G.
70
2001
The method of fundamental solutions for axisymmetric elasticity problems. Zbl 1011.74005
Karageorghis, A.; Fairweather, G.
32
2000
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018
Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M.
20
2000
A Crank-Nicolson orthogonal spline collocation method for vibration problems. Zbl 0994.74081
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
1
2000
The method of fundamental solutions for axisymmetric potential problems. Zbl 0932.74078
Karageorghis, Andreas; Fairweather, Graeme
34
1999
The method of fundamental solutions for elliptic boundary value problems. Zbl 0922.65074
Fairweather, Graeme; Karageorghis, Andreas
521
1998
Discrete-time orthogonal spline collocation methods for Schrödinger equations in two space variables. Zbl 0911.65095
Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
30
1998
Orthogonal spline collocation methods for biharmonic problems. Zbl 0908.65103
Lou, Zhou-Ming; Bialecki, Bernard; Fairweather, Graeme
11
1998
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions. Zbl 0868.65068
Fairweather, G.; López-Marcos, J. C.
31
1996
Matrix decomposition algorithms in orthogonal spline collocation for separable elliptic boundary value problems. Zbl 0820.65009
Bialecki, Bernard; Fairweather, Graeme
13
1995
Spline collocation methods for a class of hyperbolic partial integro- differential equations. Zbl 0814.65137
Fairweather, Graeme
39
1994
Orthogonal spline collocation methods for Schrödinger-type equations in one space variable. Zbl 0806.65123
Robinson, Mark P.; Fairweather, Graeme
35
1994
An explicit extrapolated box scheme for the Gurtin-MacCamy equation. Zbl 0792.65108
Fairweather, G.; López-Marcos, J. C.
7
1994
Fourier methods for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0805.65107
Bialecki, Bernard; Fairweather, G.; Remington, K. A.
7
1994
An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0798.65105
Bialecki, Bernard; Cai, X.-C.; Dryja, M.; Fairweather, G.
4
1994
Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables. Zbl 0768.65067
Fernandes, Ryan I.; Fairweather, Graeme
33
1993
Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions. Zbl 0781.65031
Bialecki, Bernard; Fairweather, Graeme
19
1993
A fourth-order cubic spline method for linear second-order two-point boundary-value problems. Zbl 0790.65078
Sloan, Ian H.; Tran, Dat; Fairweather, Graeme
12
1993
On the numerical solution of the cubic Schrödinger equation in one space variable. Zbl 0766.65112
Robinson, M. P.; Fairweather, G.; Herbst, B. M.
8
1993
Orthogonal cubic spline collocation solution of underwater acoustic wave propagation problems. Zbl 1360.76291
Robinson, Mark P.; Fairweather, Graeme
4
1993
Direct numerical spline methods for first-order Fredholm integro- differential equations. Zbl 0799.65153
Micula, Gheorghe; Fairweather, Graeme
2
1993
Orthogonal spline collocation methods for some partial integrodifferential equations. Zbl 0756.65157
Yan, Yi; Fairweather, Graeme
56
1992
Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations. Zbl 0752.65076
Bialecki, Bernard; Fairweather, Graeme; Bennett, Karin R.
23
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. Zbl 0892.65051
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
14
1992
The method of fundamental solutions for transmission and scattering of elastic waves. Zbl 0825.73150
Kondapalli, Prasanna S.; Shippy, David J.; Fairweather, Graeme
14
1992
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. Zbl 0892.65050
Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.
13
1992
The reformulation and numerical solution of certain nonclassical initial- boundary value problems. Zbl 0722.65062
Fairweather, Graeme; Saylor, Rick D.
36
1991
An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables. Zbl 0747.65082
Fernandes, Ryan I.; Fairweather, Graeme
22
1991
A box method for a nonlinear equation of population dynamics. Zbl 0734.92023
Fairweather, G.; López-Marcos, J. C.
15
1991
Galerkin and collocation methods for partial integro-differential equations. Zbl 0737.65103
Fairweather, G.
8
1991
Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions. Zbl 0722.76073
Shippy, D. J.; Kondapalli, P. S.; Fairweather, G.
6
1990
The simple layer potential method of fundamental solutions for certain biharmonic problems. Zbl 0687.76028
Karageorghis, Andreas; Fairweather, Graeme
25
1989
The method of fundamental solutions for the solution of nonlinear plane potential problems. Zbl 0676.65110
Karageorghis, A.; Fairweather, G.
23
1989
A survey of spline collocation methods for the numerical solution of differential equations. Zbl 0679.65058
Fairweather, Graeme; Maede, Daniel
23
1989
Finite element methods for nonlinear parabolic and hyperbolic partial integro-differential equations. Zbl 0726.65160
Fairweather, Graeme; Yanik, Elizabeth G.
1
1989
Finite element methods for parabolic and hyperbolic partial integro- differential equations. Zbl 0657.65142
Yanik, Elizabeth G.; Fairweather, Graeme
103
1988
The Almansi method of fundamental solutions for solving biharmonic problems. Zbl 0639.65066
Karageorghis, Andreas; Fairweather, Graeme
24
1988
Remark on algorithm 603. Zbl 0645.65017
Diaz, J. C.; Fairweather, G.; Keast, P.
1
1988
The method of fundamental solutions for the numerical solution of the biharmonic equation. Zbl 0618.65108
Karageorghis, Andreas; Fairweather, Graeme
114
1987
Numerical integration. Recent developments, software and applications. (Proceedings of the NATO Advanced Research Workshop on Numerical Integration. Recent Developments, Software and Applications, Halifax, Canada, August 11-15, 1986). Zbl 0611.00023
3
1987
An assessment of numerical software for solving two-point boundary-value problems arising in heat transfer. Zbl 0619.76046
Fairweather, Graeme; Vedha-Nayagam, M.
1
1987
Analyses of spline collocation methods for parabolic and hyperbolic problems in two space variables. Zbl 0595.65122
Greenwell-Yanik, C. E.; Fairweather, G.
29
1986
The method of fundamental solutions for problems in potential flow. Zbl 0546.76021
Johnston, R. L.; Fairweather, G.
43
1984
A survey of higher-order methods for the numerical integration of semidiscrete parabolic problems. Zbl 0561.65087
Seward, W. L.; Fairweather, G.; Johnston, R. L.
9
1984
On the \(H^{-1}\)-Galerkin method for second-order linear two-point boundary value problems. Zbl 0546.65056
Fairweather, Graeme; Keast, Patrick; Diaz, Julio Cesar
1
1984
FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination. Zbl 0516.65013
Diaz, J. C.; Fairweather, G.; Keast, P.
49
1983
On the application of extrapolation, deferred correction and defect correction to discrete-time Galerkin methods for parabolic problems. Zbl 0573.65086
Fairweather, G.; Saylor, A. V.
1
1983
The method of fundamental solutions for problems in potential theory. Zbl 0511.65087
Fairweather, Graeme; Johnston, R. L.
12
1982
A linear ADI method for the shallow-water equations. Zbl 0454.76032
Fairweather, G.; Navon, I. M.
7
1980
On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method. Zbl 0397.65080
Fairweather, Graeme; Rizzo, Frank J.; Shippy, David J.; Wu, Yensen S.
21
1979
On the approximate solution of a diffusion problem by Galerkin methods. Zbl 0428.65062
Fairweather, G.
2
1979
Finite element Galerkin methods for differential equations. Zbl 0372.65044
Fairweather, Graeme
72
1978
A note on the efficient implementation of certain Padé methods for linear parabolic problems. Zbl 0384.65036
Fairweather, Graeme
10
1978
An investigation of Romberg quadrature. Zbl 0394.65008
Fairweather, Graeme; Keast, Pat
4
1978
Errata: Alternating-direction Galerkin methods for parabolic and hyperbolic problems on rectangular polygons. Zbl 0331.65078
Dendy, J. E. jun.; Fairweather, G.
1
1976
Alternating-direction Galerkin methods for parabolic and hyperbolic problems on rectangular polygons. Zbl 0295.65062
Dendy, J. E. jun.; Fairweather, G.
20
1975
On the extrapolation of Galerkin methods for parabolic problems. Zbl 0282.65080
Fairweather, G.; Johnson, J. P.
2
1975
Three-level Galerkin methods for parabolic equations. Zbl 0313.65107
Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter
36
1974
Galerkin method for vibration problems in two space variables. Zbl 0246.65031
Fairweather, Graeme
8
1972
On the eigenvalues and eigenvectors of a class of Hessenberg matrices. Zbl 0217.52603
Fairweather, G.
11
1971
A new computational procedure for A.D.I. methods. Zbl 0252.65072
Fairweather, G.; Mitchell, A. R.
47
1967
Some stable difference approximations to a fourth-order parabolic partial differential equation. Zbl 0147.13801
Fairweather, G.; Gourlay, A. R.
18
1967
Some high accuracy difference with a Splitting operator for equations of parabolic and elliptic type. Zbl 0148.39403
Fairweather, G.; Gourlay, A. R.; Mitchell, A. R.
13
1967
Some computational results of an improved A. D. I. method for the Dirichlet problem. Zbl 0148.39404
Fairweather, G.; Mitchell, A. R.
1
1966
...and 3 more Documents
all top 5

Cited by 1,850 Authors

74 Karageorghis, Andreas
63 Xu, Da
59 Chen, Ching-Shyang
45 Chen, Wen
42 Fairweather, Graeme
32 Bialecki, Bernard
31 Lesnic, Daniel
29 Marin, Liviu
29 Yang, Xuehua
27 Zhang, Haixiang
25 Dehghan Takht Fooladi, Mehdi
24 Gu, Yan
24 Young, Der-Liang
21 Lin, Ji
21 Qiu, Wenlin
19 Fu, Zhuojia
19 Johansson, B. Tomas
19 Li, Zi-Cai
18 Fan, Chia-Ming
18 Tsai, Chia-Cheng
17 Alves, Carlos J. S.
17 Pani, Amiya Kumar
17 Qiao, Leijie
17 Smyrlis, Yiorgos-Sokratis
15 Wang, Fajie
14 Cheng, Alexander H.-D.
14 Sun, Linlin
13 Li, Jichun
13 Qin, Qinghua
13 Qu, Wenzhen
13 Šarler, Božidar
13 Sun, Weiwei
12 Li, Ming
11 Abbasbandy, Saeid
11 Jorge, Juan Carlos
11 Potier-Ferry, Michel
10 Kolodziej, Jan Adam
10 Sapagovas, Mifodijus
10 Shi, Dongyang
10 Wei, Ting
10 Zhang, Chuanzeng
9 Danumjaya, Palla
9 Fernandes, Ryan I.
9 Godinho, Luís M. C.
9 Li, Hong
9 Liu, Chein-Shan
9 Liu, Xiaoyan
9 Liu, Yang
9 Sun, Yao
8 Bujanda, Blanca
8 Chen, Jeng-Tzong
8 He, Yinnian
8 Huang, Hung-Tsai
8 Khaliq, Abdul Qayyum Masud
8 Shivanian, Elyas
8 Sinha, Rajen Kumar
8 Tadeu, António J. B.
7 Antunes, Pedro Ricardo Simão
7 Avazzadeh, Zakieh
7 Bhal, Santosh Kumar
7 Du, Kui
7 Grabski, Jakub Krzysztof
7 Hou, Tianliang
7 Li, Junpu
7 Lin, Yanping
7 Martins, Nuno F. M.
7 Mitchell, Andrew Ronald
7 Mohanty, Ranjan Kumar
7 Ramachandran, Palghat A.
7 Reddy, Gujji Murali Mohan
7 Reeve, Thomas
7 Valtchev, Svilen S.
7 Wang, Hui
7 Wang, Jinfeng
7 Wei, Xing
7 Whiteman, John Robert
6 Abou-Dina, Moustafa S.
6 Boroomand, Bijan
6 Chapko, Roman
6 Doha, Eid H.
6 Hendy, Ahmed S.
6 Hon, Yiu-Chung
6 Li, Xiaolin
6 Li, Xin
6 Ling, Leevan
6 Liu, Qingguo
6 Muir, Paul H.
6 Shaw, Simon
6 Yang, Fenglian
6 Zhou, Zhaojie
5 Arora, Shelly
5 Aslefallah, Mohammad
5 Balakrishnan, Karthik
5 Berger, J. R.
5 Brunner, Hermann
5 Chen, Bin
5 Chen, Hongbin
5 Chen, Kue-Hong
5 Chiang, John Y.
5 Čiegis, Raimondas
...and 1,750 more Authors
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Cited in 214 Serials

257 Engineering Analysis with Boundary Elements
105 Computers & Mathematics with Applications
101 Journal of Computational and Applied Mathematics
80 Applied Mathematics and Computation
71 Journal of Computational Physics
59 Applied Numerical Mathematics
57 Numerical Methods for Partial Differential Equations
44 International Journal of Computer Mathematics
40 Numerical Algorithms
39 Computer Methods in Applied Mechanics and Engineering
36 Journal of Scientific Computing
33 Applied Mathematical Modelling
25 Mathematics and Computers in Simulation
23 Advances in Applied Mathematics and Mechanics
22 Inverse Problems in Science and Engineering
21 Numerische Mathematik
21 Advances in Computational Mathematics
20 Computational and Applied Mathematics
19 Mathematics of Computation
18 Journal of Applied Mathematics and Computing
17 International Journal for Numerical Methods in Engineering
17 Computational Mechanics
15 Applied Mathematics Letters
10 Mathematical Problems in Engineering
9 Applicable Analysis
9 Journal of Mathematical Analysis and Applications
9 BIT
9 Computing
9 Mathematical and Computer Modelling
9 Journal of Integral Equations and Applications
9 Mathematical Modelling and Analysis
8 Mathematical Methods in the Applied Sciences
8 SIAM Journal on Numerical Analysis
8 International Journal of Computational Methods
7 Calcolo
7 SIAM Journal on Scientific Computing
7 Advances in Difference Equations
6 Computers and Fluids
6 International Journal for Numerical Methods in Fluids
6 Communications in Numerical Methods in Engineering
6 Communications in Computational Physics
5 Journal of Engineering Mathematics
5 Wave Motion
5 Numerical Functional Analysis and Optimization
5 Acta Mathematicae Applicatae Sinica. English Series
5 Linear Algebra and its Applications
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Discrete and Continuous Dynamical Systems. Series B
5 International Journal of Numerical Analysis and Modeling
5 BIT. Nordisk Tidskrift for Informationsbehandling
4 Lithuanian Mathematical Journal
4 Applied Mathematics and Mechanics. (English Edition)
4 Abstract and Applied Analysis
4 Nonlinear Analysis. Real World Applications
4 Journal of Function Spaces
3 Archive for Rational Mechanics and Analysis
3 International Journal of Heat and Mass Transfer
3 International Journal of Solids and Structures
3 Journal of Fluid Mechanics
3 Journal of Mathematical Physics
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Optimization
3 International Journal of Mathematics and Mathematical Sciences
3 Japan Journal of Industrial and Applied Mathematics
3 Applications of Mathematics
3 Computational Mathematics and Mathematical Physics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 The Journal of Analysis
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Discrete Dynamics in Nature and Society
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Mediterranean Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 International Journal for Computational Methods in Engineering Science and Mechanics
3 Advances in Numerical Analysis
3 Journal of Applied Analysis and Computation
3 Results in Applied Mathematics
2 Computer Physics Communications
2 Journal of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 RAIRO. Analyse Numérique
2 Optimal Control Applications & Methods
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Advances in Engineering Software
2 Physics of Fluids
2 Numerical Linear Algebra with Applications
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Journal of the Egyptian Mathematical Society
2 Journal of Difference Equations and Applications
2 Mathematics and Mechanics of Solids
2 Multibody System Dynamics
2 Nonlinear Dynamics
2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
2 European Journal of Mechanics. A. Solids
2 European Journal of Mechanics. B. Fluids
2 The ANZIAM Journal
2 Differential Equations
...and 114 more Serials
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Cited in 38 Fields

1,388 Numerical analysis (65-XX)
787 Partial differential equations (35-XX)
214 Mechanics of deformable solids (74-XX)
193 Fluid mechanics (76-XX)
184 Integral equations (45-XX)
70 Classical thermodynamics, heat transfer (80-XX)
50 Ordinary differential equations (34-XX)
44 Optics, electromagnetic theory (78-XX)
34 Real functions (26-XX)
34 Biology and other natural sciences (92-XX)
28 Approximations and expansions (41-XX)
27 Potential theory (31-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Geophysics (86-XX)
12 Systems theory; control (93-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Integral transforms, operational calculus (44-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Operator theory (47-XX)
9 Probability theory and stochastic processes (60-XX)
8 Functions of a complex variable (30-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Statistics (62-XX)
7 Operations research, mathematical programming (90-XX)
6 Quantum theory (81-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Combinatorics (05-XX)
5 Special functions (33-XX)
5 Functional analysis (46-XX)
5 Computer science (68-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Mechanics of particles and systems (70-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Difference and functional equations (39-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)

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