Graeme Fairweather

发表

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, 1992, TOMS.

Performance analysis of error-control B-spline Gaussian collocation software for PDEs

Zhi Li, Paul H. Muir, Graeme Fairweather, 2019, Comput. Math. Appl..

FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination

Patrick Keast, Graeme Fairweather, J. C. Diaz, 1983, TOMS.

Some Computational Results of an Improved A.D.I. Method for the Dirichlet Problem

Graeme Fairweather, Andrew R. Mitchell, G. Fairweather, 1966, Comput. J..

Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Marcin Paprzycki, Graeme Fairweather, Ian Gladwell, 2000, Numer. Linear Algebra Appl..

An ADI Crank–Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation

Da Xu, Graeme Fairweather, Haixiang Zhang, 2014, J. Sci. Comput..

The method of fundamental solutions for elliptic boundary value problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1998, Adv. Comput. Math..

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems

Graeme Fairweather, Andreas Karageorghis, Yiorgos Sokratis Smyrlis, 2005, Adv. Comput. Math..

Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems

Weiwei Sun, Graeme Fairweather, Kui Du, 2015, J. Comput. Appl. Math..

Algorithms for Almost Block Diagonal Linear Systems

Graeme Fairweather, Ian Gladwell, G. Fairweather, 2004, SIAM Rev..

Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination

Patrick Keast, Graeme Fairweather, J. C. Diaz, 1983, TOMS.

RECENT ADVANCES IN THE METHOD OF FUNDAMENTAL SOLUTIONS

Graeme Fairweather, Andreas Karageorghis, Paul A. Martin, 2002 .

An H1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term

Graeme Fairweather, Amiya Kumar Pani, G. Fairweather, 2002, SIAM J. Numer. Anal..

Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions

Juan C. López-Marcos, Graeme Fairweather, 1996, Adv. Comput. Math..

The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions

Patrick Keast, Graeme Fairweather, Karin Remington Bennett, 1992, TOMS.

Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems

Graeme Fairweather, Bernard Bialecki, Bingkun Li, 2001, SIAM J. Numer. Anal..

Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics

Weiwei Sun, Graeme Fairweather, Bernard Bialecki, 2008, Numerical Algorithms.

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2002, SIAM J. Sci. Comput..

Compact optimal quadratic spline collocation methods for the Helmholtz equation

Graeme Fairweather, Andreas Karageorghis, Jon Maack, 2011, J. Comput. Phys..

The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems

Graeme Fairweather, Rick D. Saylor, G. Fairweather, 1991, SIAM J. Sci. Comput..

A quadratic spline collocation method for the Dirichlet biharmonic problem

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2019, Numerical Algorithms.

An investigation of Romberg quadrature

Graeme Fairweather, 1978, TOMS.

Matrix decomposition algorithms for elliptic boundary value problems: a survey

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2011, Numerical Algorithms.

Mathematical Problem Solving

Barbara M. Moskal, Graeme Fairweather, Michael Ewing, 2007 .

The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces

Graeme Fairweather, P. Danumjaya, Santosh Kumar Bhal, 2021, J. Comput. Appl. Math..

Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1995, SIAM J. Sci. Comput..

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems

Graeme Fairweather, Ryan I. Fernandes, G. Fairweather, 2012, J. Comput. Phys..

An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains

Graeme Fairweather, Bernard Bialecki, Ryan I. Fernandes, 2015, J. Comput. Phys..

A Parallel Boundary Value ODE Code for Shared-Memory Machines

Graeme Fairweather, Karin Remington Bennett, 1992, Int. J. High Speed Comput..

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term

Graeme Fairweather, Amiya Kumar Pani, Ryan I. Fernandes, 2007, SIAM J. Numer. Anal..

Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2005, SIAM J. Sci. Comput..

Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term

Graeme Fairweather, Amiya Kumar Pani, Morrakot Khebchareon, 2015, J. Sci. Comput..

On the use of the software package SPRINT in the study of atmospheric turbulence in a convective boundary layer

Graeme Fairweather, T. H. Tsang, Prasad Pai, 1991 .

Orthogonal spline collocation methods for biharmonic problems

Graeme Fairweather, Bernard Bialecki, Zhou-Ming Lou, 1998, Numerische Mathematik.

Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods

Shuhua Zhang, Graeme Fairweather, Junping Wang, 2006, SIAM J. Numer. Anal..

The Extrapolated Crank–Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions

Juan C. López-Marcos, Graeme Fairweather, Bernard Bialecki, 2015, J. Sci. Comput..

An alternating direction Galerkin method for a class of second-order hyperbolic equations in two space variables

Graeme Fairweather, Ryan I. Fernandes, 1991 .

Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1993 .

ORTHOGONAL CUBIC SPLINE COLLOCATION SOLUTION OF UNDERWATER ACOUSTIC WAVE PROPAGATION PROBLEMS

Graeme Fairweather, Mark P. Robinson, 1993 .

Packages for solving almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions

Fouad Majaess, Graeme Fairweather, Patrick Keast, 1990 .

Spline collocation methods for a class of hyperbolic partial integro-differential equations

Graeme Fairweather, G. Fairweather, 1994 .

A Survey of Spline Collocation Methods for the Numerical Solution of Differential Equations

Graeme Fairweather, G. Fairweather, Daniel Meade, 2020 .

The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1998 .

A note on the condition of a matrix

Graeme Fairweather, 1984 .

The Almansi method of fundamental solutions for solving biharmonic problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1988 .

A New Computational Procedure for A.D.I. Methods

Graeme Fairweather, G. Fairweather, A. R. Mitchell, 1967 .

A Linear ADI Method for the Shallow-Water Equations

Graeme Fairweather, Ionel Michael Navon, G. Fairweather, 1980 .

Topics in Boundary Element Research, Volume I: Basic Principles and Applications.

Graeme Fairweather, Carlos Alberto Brebbia, 1987 .

Potential field based geometric modelling using the method of fundamental solutions

Graeme Fairweather, Andreas Karageorghis, Roman Tankelevich, 2006 .

Numerical integration : recent developments, software, and applications

Graeme Fairweather, P. Keast, 1988 .

Alternating direction implicit methods for partial differential equations

Graeme Fairweather, 1966 .

ADI orthogonal spline collocation methods for parabolic partial integro–differential equations

Amiya K. Pani, Graeme Fairweather, Ryan I. Fernandes, 2010 .

Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables

Graeme Fairweather, Ryan I. Fernandes, G. Fairweather, 1993 .

Orthogonal spline collocation methods for the stream function‐vorticity formulation of the Navier–Stokes equations

Heping Ma, Graeme Fairweather, Weiwei Sun, 2008 .

Numerical Methods for Schrödinger-Type Problems

Graeme Fairweather, Morrakot Khebchareon, G. Fairweather, 2002 .

ALTERNATING DIRECTION IMPLICIT

Graeme Fairweather, Ryan I. Fernandes, G. Fairweather, 2008 .

The method of fundamental solutions for the numerical solution of the biharmonic equation

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1987 .

A backward euler orthogonal spline collocation method for the time‐fractional Fokker–Planck equation

Da Xu, Graeme Fairweather, Haixiang Zhang, 2015 .

A Box Method for a Nonlinear Equation of Population Dynamics

Graeme Fairweather, J. C. López-Marcos, G. Fairweather, 1991 .

Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables

Graeme Fairweather, Bernard Bialecki, Bingkun Li, 1998 .

The current state and future direction of Eulerian models in simulating the tropospheric chemistry and transport of trace species: a review

Graeme Fairweather, Florian A. Potra, L. Ruby Leung, 1995 .

Optimal superconvergent one step quadratic spline collocation methods

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations

Graeme Fairweather, Andrew R. Mitchell, 1964 .

Orthogonal spline collocation methods for Schr\"{o}dinger-type equations in one space variable

Graeme Fairweather, Mark P. Robinson, G. Fairweather, 1994 .

Three level Galerkin methods for parabolic equations

Graeme Fairweather, T. Dupont, G. Fairweather, 1974 .

Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions.

Graeme Fairweather, D. J. Shippy, Prasanna S. Kondapalli, 1992 .

Matrix decomposition algorithms for the C0-quadratic finite element Galerkin method

Graeme Fairweather, Weiwei Sun, Kui Du, 2009 .

OPTIMAL SUPERCONVERGENT ONE STEP QUADRATIC SPLINE COLLOCATION METHODS FOR HELMHOLTZ PROBLEMS

Graeme Fairweather, Bernard Bialecki, Andreas Karageorghis, 2008 .

A computational study of finite element methods for second order linear two-point boundary value problems

Graeme Fairweather, P. Keast, G. Fairweather, 1983 .

Compact Optimal Quadratic Spline Collocation Methods for Poisson and Helmholtz Problems : Formulation and Numerical Verification

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 2010 .

A High Accuracy Alternating Direction Method for the Wave Equation

Graeme Fairweather, G. Fairweather, A. R. Mitchell, 1965 .

The method of fundamental solutions for transmission and scattering of elastic waves

Graeme Fairweather, D. J. Shippy, G. Fairweather, 1992 .

Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons

Graeme Fairweather, G. Fairweather, J. E. Dendy, 1975 .

Orthogonal spline collocation methods for some partial integrodifferential equations

Graeme Fairweather, Yi Yan, 1992 .

The method of fundamental solutions for scattering and radiation problems

Graeme Fairweather, Andreas Karageorghis, Paul A. Martin, 2003 .

On the extrapolation of Galerkin methods for parabolic problems

Graeme Fairweather, J. P. Johnson, 1974 .

Direct numerical spline methods for first-order Fredholm integro-differential equations

Graeme Fairweather, Gheorghe Micula, G. Micula, 1993 .

ON THE H-1-GALERKIN METHOD FOR SECOND-ORDER LINEAR TWO-POINT BOUNDARY VALUE PROBLEMS*

Graeme Fairweather, P. Keast, Julio César Díaz, 1984 .

A fourth-order cubic spline method for linear second-order two-point boundary-value problems

Ian H. Sloan, Graeme Fairweather, I. Sloan, 1993 .

The Method of Fundamental Solutions for axisymmetric elasticity problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 2000 .

A New Alternating Direction Method for Parabolic Equations in Three Space Variables

Graeme Fairweather, G. Fairweather, A. R. Mitchell, 1965 .

On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method☆

Graeme Fairweather, Frank J. Rizzo, D. J. Shippy, 1979 .

Analyses of spline collocation methods for parabolic and hyperbolic problems in two space variables

Graeme Fairweather, G. Fairweather, C E Greenwell-Yanik, 1986 .

Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations

Graeme Fairweather, Bernard Bialecki, G. Fairweather, 1992 .

The method of fundamental solutions for axisymmetric potential problems

Graeme Fairweather, Andreas Karageorghis, G. Fairweather, 1999 .

An Adaptive Indirect Boundary Element Method with Applications

Graeme Fairweather, G. Fairweather, A. Karageorghis, 1986 .