Graeme Fairweather

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Person:543709

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zbMath Open fairweather.graemeMaRDI QIDQ543709

List of research outcomes

PublicationDate of PublicationType
An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface2024-03-26Paper
A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces2023-12-14Paper
High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems2023-11-28Paper
ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations2023-09-18Paper
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem2022-10-18Paper
Frank Rizzo and boundary integral equations2021-02-03Paper
High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces2021-02-02Paper
Performance analysis of error-control B-spline Gaussian collocation software for PDEs2020-10-02Paper
The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces2020-09-14Paper
A quadratic spline collocation method for the Dirichlet biharmonic problem2020-01-22Paper
A Qualocation Method for Parabolic Partial Integro-Differential Equations in One Space Variable2019-01-22Paper
ORTHOGONAL CUBIC SPLINE COLLOCATION SOLUTION OF UNDERWATER ACOUSTIC WAVE PROPAGATION PROBLEMS2017-05-09Paper
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains2016-12-20Paper
https://portal.mardi4nfdi.de/entity/Q31867572016-08-12Paper
A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation2016-01-15Paper
Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term2015-12-17Paper
An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation2015-12-17Paper
The extrapolated Crank-Nicolson orthogonal spline collocation method for a quasilinear parabolic problem with nonlocal boundary conditions2015-04-23Paper
Matrix decomposition algorithms for arbitrary order \(C^0\) tensor product finite element systems2014-09-29Paper
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems2014-04-23Paper
The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions2014-01-17Paper
Three-dimensional image reconstruction using the PF/MFS technique2012-08-07Paper
Compact optimal quadratic spline collocation methods for the Helmholtz equation2011-06-17Paper
Matrix decomposition algorithms for elliptic boundary value problems: A survey2011-02-17Paper
ADI orthogonal spline collocation methods for parabolic partial integro-differential equations2010-03-08Paper
Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method2009-11-04Paper
Matrix decomposition algorithms for the finite element Galerkin method with piecewise Hermite cubics2009-09-14Paper
Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term2009-03-16Paper
OPTIMAL SUPERCONVERGENT ONE STEP QUADRATIC SPLINE COLLOCATION METHODS FOR HELMHOLTZ PROBLEMS2009-01-28Paper
Optimal superconvergent one step quadratic spline collocation methods2008-12-16Paper
Orthogonal spline collocation methods for the stream function‐vorticity formulation of the Navier–Stokes equations2008-03-27Paper
Potential field based geometric modelling using the method of fundamental solutions2008-01-14Paper
Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods2007-06-26Paper
Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods2006-05-30Paper
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems2005-04-28Paper
Algorithms for Almost Block Diagonal Linear Systems2005-02-25Paper
The method of fundamental solutions for scattering and radiation problems.2004-05-27Paper
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems2004-01-20Paper
The method of fundamental solutions for axisymmetric elasticity problems2003-06-02Paper
H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations2003-03-24Paper
AnH1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term2003-01-05Paper
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems2002-07-08Paper
Orthogonal spline collocation methods for partial differential equations2001-04-24Paper
A Crank-Nicolson orthogonal spline collocation method for vibration problems2000-05-08Paper
The method of fundamental solutions for elliptic boundary value problems1999-10-10Paper
The method of fundamental solutions for axisymmetric potential problems1999-09-22Paper
Orthogonal spline collocation methods for biharmonic problems1999-03-04Paper
Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables1998-05-11Paper
The solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions1998-02-09Paper
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 functions1998-02-09Paper
Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions1997-08-18Paper
https://portal.mardi4nfdi.de/entity/Q48435251995-11-13Paper
Matrix Decomposition Algorithms in Orthogonal Spline Collocation for Separable Elliptic Boundary Value Problems1995-09-17Paper
Orthogonal spline collocation methods for Schrödinger-type equations in one space variable1995-02-09Paper
https://portal.mardi4nfdi.de/entity/Q43090971995-02-02Paper
https://portal.mardi4nfdi.de/entity/Q42965811994-11-17Paper
https://portal.mardi4nfdi.de/entity/Q42884351994-10-30Paper
Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations1994-09-13Paper
An explicit extrapolated box scheme for the Gurtin-MacCamy equation1994-08-03Paper
Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions1994-02-17Paper
Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables1993-05-16Paper
The method of fundamental solutions for transmission and scattering of elastic waves1993-01-16Paper
Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations1992-09-27Paper
Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations1992-06-28Paper
https://portal.mardi4nfdi.de/entity/Q39755381992-06-26Paper
An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables1992-06-26Paper
The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems1991-01-01Paper
A Box Method for a Nonlinear Equation of Population Dynamics1991-01-01Paper
Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions1990-01-01Paper
On the numerical solution of a model air pollution problem with non-smooth intial data1990-01-01Paper
A Stabilized Galerkin Method for a Third-Order Evolutionary Problem1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33507531989-01-01Paper
The Method of Fundamental Solutions for the Solution of Nonlinear Plane Potential Problems1989-01-01Paper
The simple layer potential method of fundamental solutions for certain biharmonic problems1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47292631989-01-01Paper
The Almansi method of fundamental solutions for solving biharmonic problems1988-01-01Paper
Remark on “Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination”1988-01-01Paper
Finite element methods for parabolic and hyperbolic partial integro-differential equations1988-01-01Paper
The method of fundamental solutions for the numerical solution of the biharmonic equation1987-01-01Paper
AN ASSESSMENT OF NUMERICAL SOFTWARE FOR SOLVING TWO-POINT BOUNDARY-VALUE PROBLEMS ARISING IN HEAT TRANSFER1987-01-01Paper
Analyses of Spline Collocation Methods for Parabolic and Hyperbolic Problems in Two Space Variables1986-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37600821986-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37064641985-01-01Paper
Corrigenda1984-01-01Paper
The method of fundamental solutions for problems in potential flow1984-01-01Paper
On the $H^{ - 1} $-Galerkin Method for Second-Order Linear Two-Point Boundary Value Problems1984-01-01Paper
A Survey of Higher-order Methods for the Numerical Integration of Semidiscrete Parabolic Problems1984-01-01Paper
FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination1983-01-01Paper
A Computational Study of Finite Element Methods for Second Order Linear Two-Point Boundary Value Problems1983-01-01Paper
On the Application of Extrapolation, Deferred Correction and Defect Correction to Discrete-time Galerkin Methods for Parabolic Problems1983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47491571982-01-01Paper
A linear ADI method for the shallow-water equations1980-01-01Paper
On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method1979-01-01Paper
On the Approximate Solution of a Diffusion Problem by Galerkin Methods1979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41489201978-01-01Paper
A note on the efficient implementation of certain Padé Methods for linear parabolic problems1978-01-01Paper
An investigation of Romberg quadrature1978-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41329061977-01-01Paper
Errata: Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons1976-01-01Paper
On the extrapolation of Galerkin methods for parabolic problems1975-01-01Paper
Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons1975-01-01Paper
Three-Level Galerkin Methods for Parabolic Equations1974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q51803151974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56668931973-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56262251972-01-01Paper
Galerkin Methods for Vibration Problems in Two Space Variables1972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56633431972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56796661972-01-01Paper
On the Eigenvalues and Eigenvectors of a Class of Hessenberg Matrices1971-01-01Paper
A Note on a Generalisation of a Method of Douglas1969-01-01Paper
Corrigenda1968-01-01Paper
Some Stable Difference Approximations to a Fourth-Order Parabolic Partial Differential Equation1967-01-01Paper
A New Computational Procedure for A.D.I. Methods1967-01-01Paper
Some high accuracy difference with a Splitting operator for equations of parabolic and elliptic type1967-01-01Paper
Some Computational Results of an Improved A.D.I. Method for the Dirichlet Problem1966-01-01Paper
A New Alternating Direction Method for Parabolic Equations in Three Space Variables1965-01-01Paper
A High Accuracy Alternating Direction Method for the Wave Equation1965-01-01Paper
Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations1964-01-01Paper
A generalized alternating direction method of Douglas-Rachford type for solving the biharmonic equation1964-01-01Paper

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