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Books and Theses
- 1984
[b1]Paul H. Muir:
Implicit Runge-Kutta methods for two-point boundary value problems. University of Toronto, Canada, 1984
Journal Articles
- 2024
- [j16]Mark Adams, Paul H. Muir:
Differential equation software for the computation of error-controlled continuous approximate solutions. Numer. Algorithms 96(3): 1021-1044 (2024) - 2019
- [j15]Jack Pew, Zhi Li, Connor Tannahill, Paul H. Muir, Graeme Fairweather:
Performance analysis of error-control B-spline Gaussian collocation software for PDEs. Comput. Math. Appl. 77(7): 1888-1901 (2019) - [j14]Mark Adams, Connor Tannahill, Paul H. Muir:
Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs. Numer. Algorithms 81(4): 1505-1519 (2019) - 2016
- [j13]Jack Pew, Zhi Li, Paul H. Muir:
Algorithm 962: BACOLI: B-spline Adaptive Collocation Software for PDEs with Interpolation-Based Spatial Error Control. ACM Trans. Math. Softw. 42(3): 25:1-25:17 (2016) - 2013
- [j12]Jason J. Boisvert, Paul H. Muir, Raymond J. Spiteri
:
A Runge-Kutta BVODE Solver with Global Error and Defect Control. ACM Trans. Math. Softw. 39(2): 11:1-11:22 (2013) - 2010
- [j11]Wayne H. Enright, P. H. Muir:
New interpolants for asymptotically correct defect control of BVODEs. Numer. Algorithms 53(2-3): 219-238 (2010) - 2008
- [j10]Rong Wang, Patrick Keast, Paul H. Muir:
Algorithm 874: BACOLR - spatial and temporal error control software for PDEs based on high-order adaptive collocation. ACM Trans. Math. Softw. 34(3): 15:1-15:28 (2008) - 2004
- [j9]Lawrence F. Shampine, Paul H. Muir:
Estimating conditioning of BVPs for ODEs. Math. Comput. Model. 40(11-12): 1309-1321 (2004) - [j8]Amy M. Hynick, Patrick Keast, Paul H. Muir:
Pulse detection software for initial value ODEs. Math. Comput. Model. 40(11-12): 1335-1350 (2004) - [j7]Rong Wang, Patrick Keast, Paul H. Muir:
BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs. ACM Trans. Math. Softw. 30(4): 454-470 (2004) - 2003
- [j6]P. H. Muir, R. N. Pancer, Kenneth R. Jackson:
PMIRKDC: a parallel mono-implicit Runge-Kutta code with defect control for boundary value ODEs. Parallel Comput. 29(6): 711-741 (2003) - 1999
- [j5]P. H. Muir:
Optimal discrete and continuous mono-implicit Runge-Kutta schemes for BVODEs. Adv. Comput. Math. 10(2): 135-167 (1999) - [j4]Wayne H. Enright, Paul H. Muir:
Superconvergent Interpolants for the Collocation Solution of Boundary Value Ordinary Differential Equations. SIAM J. Sci. Comput. 21(1): 227-254 (1999) - 1996
- [j3]Wayne H. Enright, Paul H. Muir:
Runge-Kutta Software with Defect Control for Boundary Value ODEs. SIAM J. Sci. Comput. 17(2): 479-497 (1996) - 1991
- [j2]Patrick Keast, P. H. Muir:
Algorithm 688: EPDCOL: a more efficient PDECOL code. ACM Trans. Math. Softw. 17(2): 153-166 (1991) - 1986
- [j1]Wayne H. Enright, Paul H. Muir:
Efficient classes of Runge-Kutta methods for two-point boundary value problems. Computing 37(4): 315-334 (1986)
Conference and Workshop Papers
- 2010
- [c1]Jason J. Boisvert, Paul H. Muir, Raymond J. Spiteri:
py_bvp: a universal Python interface for BVP codes. SpringSim 2010: 95
Coauthor Index
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