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- Jack Pew, Paul H. Muir, Jinliang Wang, Timothy R Frasier
- Molecular ecology resources
- 2015

Analyses of pairwise relatedness represent a key component to addressing many topics in biology. However, such analyses have been limited because most available programs provide a means to estimateâ€¦ (More)

The mono-implicit Runge-Kutta (MIRK) schemes, a subset of the family of implicit Runge-Kutta (IRK) schemes, were originally proposed for the numerical solution of initial value ODEs more than fifteenâ€¦ (More)

- Wayne H. Enright, Paul H. Muir
- SIAM J. Scientific Computing
- 1996

- Wayne H. Enright, Paul H. Muir
- Computing
- 1986

The standard approach to applying IRK methods in the solution of two-point boundary value problems involves the solution of a non-linear system ofnÃ—s equations in order to calculate the stages of theâ€¦ (More)

- Lawrence F. Shampine, Paul H. Muir
- Mathematical and Computer Modelling
- 2004

Abst rac t -An alternative to control of the global error of a numerical solution to a boundary value problem (BVP) for ordinary differential equations (ODEs) is control of its residual, the amountâ€¦ (More)

- Paul H. Muir, Shantao Li, +8 authors Mark Gerstein
- Genome Biology
- 2016

As the cost of sequencing continues to decrease and the amount of sequence data generated grows, new paradigms for data storage and analysis are increasingly important. The relative scaling behaviorâ€¦ (More)

- Patrick Keast, Paul H. Muir
- ACM Trans. Math. Softw.
- 1991

The software package PDECOL [7] is a popular code among scientists wishing to solve systems of nonlinear partial differential equations. The code is based on a method-of-lines approach, withâ€¦ (More)

- Paul H. Muir, Carden Crea Wallace, Tom C. L. Bridge, Pim Bongaerts
- PloS one
- 2015

Concern for the future of reef-building corals in conditions of rising sea temperatures combined with recent technological advances has led to a renewed interest in documenting the biodiversity ofâ€¦ (More)

- Kevin Burrage, F H Chipman, Paul H. Muir
- 1993

The mono-implicit Runge-Kutta methods are a subclass of the well-known family of implicit Runge-Kutta methods and have application in the eecient numerical solution of systems of initial and boundaryâ€¦ (More)

- Paul H. Muir
- Adv. Comput. Math.
- 1999

Recent investigations of discretization schemes for the efficient numerical solution of boundary value ordinary differential equations (BVODEs) have focused on a subclass of the well-known implicitâ€¦ (More)