Colin B. Macdonald

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps	2021	Sarafa A. Iyaniwura Tony Wong Colin B. Macdonald Michael J. Ward
+ PDF Chat	Simulation and Optimization of Mean First Passage Time Problems in 2-D Using Numerical Embedded Methods and Perturbation Theory	2021	Sarafa A. Iyaniwura Tony Wong Michael J. Ward Colin B. Macdonald
+	A fast solver for the pseudo-two-dimensional model of lithium-ion batteries	2021	Rachel Han Colin B. Macdonald Brian Wetton
+	Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps.	2020	Sarafa A. Iyaniwura Tony Wong Colin B. Macdonald Micheal J. Ward
+ PDF Chat	Pattern formation in a slowly flattening spherical cap: delayed bifurcation	2020	Laurent Charette Colin B. Macdonald Wayne Nagata
+	Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps	2020	Sarafa A. Iyaniwura Tony Wong Colin B. Macdonald Micheal J. Ward
+	Simulation and Optimization of Mean First Passage Time Problems in 2-D using Numerical Embedded Methods and Perturbation Theory	2019	Sarafa A. Iyaniwura Tony Wong Michael J. Ward Colin B. Macdonald
+	Nearest Neighbor Sampling of Point Sets using Rays	2019	Liangchen Liu Louis Ly Colin B. Macdonald Yen‐Hsi Richard Tsai
+	Simulation and Optimization of Mean First Passage Time Problems in 2-D using Numerical Embedded Methods and Perturbation Theory	2019	Sarafa A. Iyaniwura Tony Wong Michael J. Ward Colin B. Macdonald
+	Pattern Formation in a Slowly Flattening Spherical Cap: Delayed Bifurcation	2018	Laurent Charette Colin B. Macdonald Wayne Nagata
+ PDF Chat	Revisionist integral deferred correction with adaptive step-size control	2015	Andrew Christlieb Colin B. Macdonald Benjamin Ong Raymond J. Spiteri
+ PDF Chat	The Closest Point Method and Multigrid Solvers for Elliptic Equations on Surfaces	2015	Yujia Chen Colin B. Macdonald
+	Simple numerical techniques for reaction-diffusion on general geometry	2014	Colin B. Macdonald
+	Anisotropic Diffusion on Curved Surfaces	2014	Emma Naden Thomas März Colin B. Macdonald
+ PDF Chat	Simple computation of reaction–diffusion processes on point clouds	2013	Colin B. Macdonald Barry Merriman Steven J. Ruuth
+	An embedded method-of-lines approach to solving partial differential equations on surfaces	2013	Ingrid von Glehn Thomas März Colin B. Macdonald
+ PDF Chat	Strong Stability Preserving Explicit Runge--Kutta Methods of Maximal Effective Order	2013	Yiannis Hadjimichael Colin B. Macdonald David I. Ketcheson J. H. Verner
+ PDF Chat	Spatially Partitioned Embedded Runge--Kutta Methods	2013	David I. Ketcheson Colin B. Macdonald Steven J. Ruuth
+	The Closest Point Method and multigrid solvers for elliptic equations on surfaces	2013	Yujia Chen Colin B. Macdonald
+	Effective order strong stability preserving Runge–Kutta methods	2012	Yiannis Hadjimichael Colin B. Macdonald David I. Ketcheson J. H. Verner
+ PDF Chat	Calculus on Surfaces with General Closest Point Functions	2012	Thomas März Colin B. Macdonald
+ PDF Chat	Solving eigenvalue problems on curved surfaces using the Closest Point Method	2011	Colin B. Macdonald Jeremy Brandman Steven J. Ruuth
+ PDF Chat	Strong Stability Preserving Two-step Runge–Kutta Methods	2011	David I. Ketcheson Sigal Gottlieb Colin B. Macdonald
+ PDF Chat	On the Linear Stability of the Fifth-Order WENO Discretization	2010	Mohammad Motamed Colin B. Macdonald Steven J. Ruuth
+	Parallel High-Order Integrators	2010	Andrew Christlieb Colin B. Macdonald Benjamin Ong
+	The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces	2009	Colin B. Macdonald Steven J. Ruuth
+	Optimal implicit strong stability preserving Runge–Kutta methods	2008	David I. Ketcheson Colin B. Macdonald Sigal Gottlieb
+	Level Set Equations on Surfaces via the Closest Point Method	2008	Colin B. Macdonald Steven J. Ruuth
+	The closest point method for time-dependent processes on surfaces	2008	Colin B. Macdonald
+	A Numerical Study of Diagonally Split Runge–Kutta Methods for PDEs with Discontinuities	2007	Colin B. Macdonald Sigal Gottlieb Steven J. Ruuth
+	Constructing high-order Runge-Kutta methods with embedded strong-stability-preserving pairs	2003	Colin B. Macdonald
+	THE PREDICTED SEQUENTIAL REGULARIZATION METHOD FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS	2001	Colin B. Macdonald

Common Coauthors

Coauthor	Papers Together
Steven J. Ruuth	7
Sarafa A. Iyaniwura	6
David I. Ketcheson	5
Tony Wong	4
Michael J. Ward	4
Thomas März	3
Sigal Gottlieb	3
Andrew Christlieb	2
Wayne Nagata	2
Yiannis Hadjimichael	2
Benjamin Ong	2
Laurent Charette	2
Yujia Chen	2
Micheal J. Ward	2
Tony Wong	2
J. H. Verner	2
Rachel Han	1
Ingrid von Glehn	1
Emma Naden	1
Mohammad Motamed	1
Louis Ly	1
Barry Merriman	1
Jeremy Brandman	1
Raymond J. Spiteri	1
Brian Wetton	1
Yen‐Hsi Richard Tsai	1
Liangchen Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	10
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	9
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	9
+	Level Set Equations on Surfaces via the Closest Point Method	2008	Colin B. Macdonald Steven J. Ruuth	9
+ PDF Chat	Solving eigenvalue problems on curved surfaces using the Closest Point Method	2011	Colin B. Macdonald Jeremy Brandman Steven J. Ruuth	8
+	Optimal implicit strong stability preserving Runge–Kutta methods	2008	David I. Ketcheson Colin B. Macdonald Sigal Gottlieb	8
+	A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods	2002	Raymond J. Spiteri Steven J. Ruuth	8
+	Total-Variation-Diminishing Time Discretizations	1988	Chi‐Wang Shu	7
+ PDF Chat	An extension and analysis of the Shu-Osher representation of Runge-Kutta methods	2004	Luca Ferracina M. N. Spijker	7
+	The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces	2009	Colin B. Macdonald Steven J. Ruuth	7
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	6
+	Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods	2004	Luca Ferracina M. N. Spijker	6
+	None	2002	Steven J. Ruuth Raymond J. Spiteri	6
+ PDF Chat	Barycentric Lagrange Interpolation	2004	Jean‐Paul Berrut Lloyd N. Trefethen	6
+	On Strong Stability Preserving Time Discretization Methods	2004	Inmaculada Higueras	6
+	Contractivity of Runge-Kutta methods	1991	J. F. B. M. Kraaijevanger	6
+	Global optimization of explicit strong-stability-preserving Runge-Kutta methods	2005	Steven J. Ruuth	5
+ PDF Chat	Calculus on Surfaces with General Closest Point Functions	2012	Thomas März Colin B. Macdonald	5
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	5
+	High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations	2004	Steven J. Ruuth Raymond J. Spiteri	5
+	Non-linear evolution using optimal fourth-order strong-stability-preserving Runge–Kutta methods	2003	Raymond J. Spiteri Steven J. Ruuth	5
+ PDF Chat	Efficient Implementation of Weighted ENO Schemes	1996	Guang-Shan Jiang Chi‐Wang Shu	5
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	5
+ PDF Chat	Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations	2008	David I. Ketcheson	5
+	Implicit-Explicit Methods for Time-Dependent Partial Differential Equations	1995	Uri M. Ascher Steven J. Ruuth Brian Wetton	4
+ PDF Chat	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere	2010	Alexei F. Cheviakov Michael J. Ward Ronny Straube	4
+	Asymptotic Analysis of First Passage Time Problems Inspired by Ecology	2014	Venu Kurella Justin C. Tzou Daniel Coombs Michael J. Ward	4
+	Representations of Runge--Kutta Methods and Strong Stability Preserving Methods	2005	Inmaculada Higueras	4
+	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains	2010	Samara Pillay M. J. Ward Anthony Peirce Théodore Kolokolnikov	4
+	Strong Localized Perturbations of Eigenvalue Problems	1993	Micheal J. Ward Joseph B. Keller	4
+	Numerical Methods for Ordinary Differential Equations	2016	J. C. Butcher	4
+ PDF Chat	Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws	1998	Chi‐Wang Shu	4
+	Constructing high-order Runge-Kutta methods with embedded strong-stability-preserving pairs	2003	Colin B. Macdonald	4
+	Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems	1986	J. F. B. M. Kraaijevanger	3
+	Numerical Initial Value Problems in Ordinary Differential Equations	1973	E. I. C. W. Gear	3
+	Strong stability of singly-diagonally-implicit Runge–Kutta methods	2007	Luca Ferracina M. N. Spijker	3
+ PDF Chat	Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points	2009	Daniel Coombs Ronny Straube Michael J. Ward	3
+	Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems	2007	M. N. Spijker	3
+ PDF Chat	Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations	2005	Anita T. Layton Michael L. Minion	3
+	Contractivity in the numerical solution of initial value problems	1983	M. N. Spijker	3
+	Uniformly high order accurate essentially non-oscillatory schemes, III	1987	Ami Harten Björn Engquist Stanley Osher Sukumar Chakravarthy	3
+ PDF Chat	Computation of optimal monotonicity preserving general linear methods	2009	David I. Ketcheson	3
+	Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations	2006	Sigal Gottlieb Steven J. Ruuth	3
+	Comparing Numerical Methods for Ordinary Differential Equations	1972	T. E. Hull W. H. Enright B. M. Fellen A. E. Sedgwick	3
+	A Numerical Study of Diagonally Split Runge–Kutta Methods for PDEs with Discontinuities	2007	Colin B. Macdonald Sigal Gottlieb Steven J. Ruuth	3
+	Weighted Essentially Non-oscillatory Schemes	1994	Xudong Liu Stanley Osher Tony F. Chan	3
+	On monotonicity and boundedness properties of linear multistep methods	2005	Willem Hundsdorfer Steven J. Ruuth	3
+ PDF Chat	Simple computation of reaction–diffusion processes on point clouds	2013	Colin B. Macdonald Barry Merriman Steven J. Ruuth	3
+ PDF Chat	On High Order Strong Stability Preserving Runge–Kutta and Multi Step Time Discretizations	2005	Sigal Gottlieb	3
+	Contractivity preserving explicit linear multistep methods	1989	H. W. J. Lenferink	3