Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Paul H. Muir"'
Publikováno v:
Koli Calling
Here we describe a project whose goal is to address issues associated with student takeaway, i.e., enduring learning, in an introductory course in Numerical Analysis/Scientific Computing (NA/SC) commonly taught in undergraduate programs in Computer S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42910c819769f18491f108586c502620
https://doi.org/10.1145/3488042.3489971
https://doi.org/10.1145/3488042.3489971
Publikováno v:
Numerical Algorithms. 81:1505-1519
Error control software packages based on Gaussian collocation have been widely used for the numerical solution of boundary value ODEs (BVODEs) and 1D parabolic time-dependent PDEs (1D PDEs) for several decades. These robust and efficient packages are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::356f9c56df89a6bf545960f2374a0ad3
https://doi.org/10.1007/s11075-019-00738-2
https://doi.org/10.1007/s11075-019-00738-2
Publikováno v:
Computers & Mathematics with Applications. 77:1888-1901
B-spline Gaussian collocation software has been widely used in the numerical solution of boundary value ordinary differential equations (BVODEs) and 1D partial differential equations (PDEs) for several decades. Such packages represent the numerical s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::127ab479d383701b996959fe683b76a9
https://doi.org/10.1016/j.camwa.2018.11.025
https://doi.org/10.1016/j.camwa.2018.11.025
Autor:
Paul H. Muir, Connor Tannahill
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030635909
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb6b4b0214fd665503cbf5b7b79f0d43
https://doi.org/10.1007/978-3-030-63591-6_27
https://doi.org/10.1007/978-3-030-63591-6_27
Publikováno v:
ACM Transactions on Mathematical Software. 39:1-22
Boundary value ordinary differential equations (BVODEs) are systems of ODEs with boundary conditions imposed at two or more distinct points. The global error (GE) of a numerical solution to a BVODE is the amount by which the numerical solution differ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6aa7748fd3071eb15d695ecf3c7ad8c
https://doi.org/10.1145/2427023.2427028
https://doi.org/10.1145/2427023.2427028
Autor:
Paul H. Muir, Jack Pew
Publikováno v:
Mathematical and Computational Approaches in Advancing Modern Science and Engineering ISBN: 9783319303772
B-spline Gaussian collocation software for the numerical solution of PDEs has been widely used for several decades. BACOL and BACOLI are recently developed packages of this class that provide control of estimates of the temporal and spatial errors of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::467a8871b0b1a0d61091111c2a89b9ba
https://doi.org/10.1007/978-3-319-30379-6_42
https://doi.org/10.1007/978-3-319-30379-6_42
Autor:
Wayne H. Enright, Paul H. Muir
Publikováno v:
Numerical Algorithms. 53:219-238
The defect of a continuous approximate solution to an ODE is the amount by which that approximation fails to satisfy the ODE. A number of studies have explored the use of asymptotically correct defect estimates in the numerical solution of initial va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f635841ea1d44d89da0304bd8608493
https://doi.org/10.1007/s11075-009-9266-3
https://doi.org/10.1007/s11075-009-9266-3
Publikováno v:
ACM Transactions on Mathematical Software. 34:1-28
In this article we discuss a new software package, BACOLR, for the numerical solution of a general class of time-dependent 1-D PDEs. This package employs high-order adaptive methods in time and space within a method-of-lines approach and provides tol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b58af1c3372885d47843879bd204922c
https://doi.org/10.1145/1356052.1356056
https://doi.org/10.1145/1356052.1356056
Autor:
Paul H. Muir, Jack Pew
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319123066
In this chapter we briefly review recent advances in Error Control B-spline Gaussian Collocation software for the numerical solution of 1D parabolic partial differential equations (PDEs). BACOL and BACOLR, two packages of this type, developed over th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b082612085fc3fb8934306334c26d64
https://doi.org/10.1007/978-3-319-12307-3_47
https://doi.org/10.1007/978-3-319-12307-3_47
Autor:
Paul H. Muir, Lawrence F. Shampine
Publikováno v:
Mathematical and Computer Modelling. 40:1309-1321
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 amount by which it fails to satisfy the ODEs and boundary conditions. A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1396c7134f241e7ded400f9a736e7271
https://doi.org/10.1016/j.mcm.2005.01.021
https://doi.org/10.1016/j.mcm.2005.01.021