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MacLachlan
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81	Improving Robustness in Multiscale Methods by Scott Patrick MacLachlan B.Sc., University of British Columbia, 2000 A thesis submitted to the Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2008-01-24 10:59:42 Multigrid method Wavelets Mathematical analysis Numerical linear algebra Lis Software Numerical analysis Mathematics
82	A MULTIGRID-BASED SHIFTED-LAPLACIAN PRECONDITIONER FOR A FOURTH-ORDER HELMHOLTZ DISCRETIZATION. N.UMETANI∗, S.P.MACLACHLAN†, C.W. OOSTERLEE‡ § Abstract. In this paper, an iterative solution method for a fourth-ord Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2008-03-04 10:50:33 Iterative methods Numerical linear algebra Multigrid method Wavelets Relaxation Discretization MEMO Model Helmholtz equation Preconditioner Numerical analysis Mathematics Mathematical analysis
83	WATER RESOURCES RESEARCH, VOL. ???, XXXX, DOI:[removed]/, Local post-processing for locally conservative fluxes in the Galerkin method for groundwater flows E. T. Coon,1 S. P. MacLachlan,2 and J. D. Moulton,3 The Galerkin Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2010-01-07 10:29:12 Partial differential equations Finite element method Computational fluid dynamics Fluid dynamics Numerical analysis Finite volume method Flux Discontinuous Galerkin method Vector space Mathematics Algebra Calculus
84	A LOCAL FOURIER ANALYSIS FRAMEWORK FOR FINITE-ELEMENT DISCRETIZATIONS OF SYSTEMS OF PDES∗ SCOTT P. MACLACHLAN† AND CORNELIS W. OOSTERLEE ‡ Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2009-09-04 09:25:12 Partial differential equations Joseph Fourier Mathematical physics Linear algebra Numerical analysis Multigrid method Relaxation Fourier series Fourier analysis Mathematics Mathematical analysis Algebra
85	COMPARISON OF THE DEFLATED PRECONDITIONED CONJUGATE GRADIENT METHOD AND ALGEBRAIC MULTIGRID FOR COMPOSITE MATERIALS † , M.B. VAN GIJZEN‡ , S. MACLACHLAN? , C. VUIK‡ , AND A. SCARPAS† ¨ ¨ Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2011-06-27 09:08:01 Numerical linear algebra Domain decomposition methods Matrix theory Multigrid method Numerical analysis Preconditioner Eigenvalues and eigenvectors Conjugate gradient method Partial differential equation Algebra Mathematics Linear algebra
86	An angular multigrid method for computing mono-energetic particle beams in Flatland Christoph B¨orgers and Scott MacLachlan Department of Mathematics, Tufts University, Medford, Massachusetts[removed]Abstract: Beams of mi Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2009-12-17 08:15:13 Trigonometry Dimensional analysis Biblical criticism Polar coordinate system Symbol Mathematical analysis Mathematics Trigonometric functions
87	AN ENERGY-MINIMIZATION FINITE-ELEMENT APPROACH FOR THE FRANK-OSEEN MODEL OF NEMATIC LIQUID CRYSTALS: CONTINUUM AND DISCRETE ANALYSIS J. H. ADLER, T. J. ATHERTON, D. B. EMERSON, S. P. MACLACHLAN Abstract. This paper outli Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2014-02-10 13:26:46 Ordinal number Constructible universe
88	A fast method for the solution of the Helmholtz equation Eldad Haber and Scott MacLachlan September 15, 2010 Abstract In this paper, we consider the numerical solution of the Helmholtz equation, arising from the study of Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2010-10-08 12:03:16 Numerical analysis Iterative methods Joseph Fourier Computational fluid dynamics Multigrid method Partial differential equation Relaxation Helmholtz equation Upwind scheme Mathematical analysis Mathematics Calculus
89	An edited version of this paper was published by AGU. Copyright 2006 American Geophysical Union. Multilevel Upscaling through Variational Coarsening Scott P. MacLachlan Department of Applied Mathematics, University of C Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2008-01-24 10:59:41 Partial differential equations Applied mathematics Multigrid method Wavelets Control theory Hydraulic engineering Mathematical optimization Discretization Hydraulic conductivity Numerical analysis Mathematical analysis Mathematics
90	ADAPTIVE REDUCTION-BASED MULTIGRID FOR NEARLY SINGULAR AND HIGHLY DISORDERED PHYSICAL SYSTEMS J. BRANNICK, A. FROMMER, K. KAHL, S. MACLACHLAN, AND L. ZIKATANOV Abstract. Classical multigrid solution of linear systems wit Add to Reading List Source URL: neumann.math.tufts.edu Language: English - Date: 2009-10-07 10:51:03 Numerical linear algebra Partial differential equations Multigrid method Wavelets Linear algebra Relaxation Coarse space Eigenvalues and eigenvectors Preconditioner Mathematics Algebra Numerical analysis

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