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Computers & Mathematics with Applications, ISSN 0898-1221, 03/2018, Volume 75, Issue 5, p. 1648
The interaction between discrete and continuous mathematics lies at the heart of many fundamental problems in applied mathematics and computational sciences.... 
Studies | Applications of mathematics | Euclidean geometry | Numerical analysis | Approximation | Applied mathematics | Computation | Mathematical analysis | Approximations | Homology | Smoothness | Continuity (mathematics)
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 08/2015
Phase separation mechanisms can produce a variety of complicated and intricate microstructures, which often can be difficult to characterize in a quantitative... 
Computer Science | Mathematics
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 2016
Topological data analysis provides a multiscale description of the geometry and topology of quantitative data. The persistence landscape is a topological... 
Computer Science | Mathematics
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2018, Volume 54, Issue 3, pp. 1 - 4
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 01/2013, Volume 253, pp. 530 - 542
The problem of computing cohomology generators of a cell complex is gaining more and more interest in various branches of science ranging from computational... 
Computational fluid dynamics | Computation | Focusing | Biology | Generators | Computational efficiency | Computer aided design | Eddy current testing
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 10/2016, Volume 52, Issue 10, pp. 1 - 6
Efficient boundary integral formulations based on stream functions for solving eddy current problems in thin conductors, which are modeled by the orientable... 
stream function | homology | relative cohomology generators | Integral equations | Color | Conductors | Generators | Software | Boundary integral (BI) formulation | Eddy currents | Surface treatment | eddy currents | PHYSICS, APPLIED | COHOMOLOGY | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Analysis | Eddy currents (Electric) | Electric generators
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 02/2014, Volume 50, Issue 2, pp. 577 - 580
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2016, Volume 52, Issue 3, pp. 1 - 4
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 06/2017, Volume 53, Issue 6, pp. 1 - 4
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 01/2019, Volume 55, Issue 6, p. 1
There are two ways of solving eddy current problems with an edge element [Formula Omitted]-conforming formulation in the case of non-simply-connected... 
Formulations | Conductors | Homology | Eddy currents
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 01/2017, Volume 78, pp. 91 - 114
Topological data analysis provides a multiscale description of the geometry and topology of quantitative data. The persistence landscape is a topological... 
Intrinsic dimension | Persistent homology | Topological data analysis | Topological machine learning | Statistical topology | Computer science | Algorithms | Information management | Statistics | Analysis | Machine learning
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 06/2019, Volume 55, Issue 6, pp. 1 - 4
There are two ways of solving eddy current problems with an edge element h -conforming... 
scalar potential | Magnetic domains | Conductivity | Conductors | Insulators | Generators | Mathematics | Cohomology | fake conductivity | Eddy currents | finite elements | cuts | PHYSICS, APPLIED | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 11/2016, Volume 334, pp. 60 - 81
Phase separation mechanisms can produce a variety of complicated and intricate microstructures, which often can be difficult to characterize in a quantitative... 
Inverse analysis | Phase separation mechanisms | Computational topology | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | COREDUCTION HOMOLOGY | ALGORITHM | SPINODAL DECOMPOSITION | PHYSICS, MATHEMATICAL | FREE-ENERGY | NONUNIFORM SYSTEM
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2018, Volume 75, Issue 5, pp. 1648 - 1666
The interaction between discrete and continuous mathematics lies at the heart of many fundamental problems in applied mathematics and computational sciences.... 
Rigorous approximation of functions | Rigorous arithmetic | Constructive version of simplex approximation theorem | Persistent homology | Rigorous computations | MATHEMATICS, APPLIED | COREDUCTION HOMOLOGY | STABILITY | ALGORITHM | Algebraic Topology | Mathematics
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 01/2010, Volume 48, Issue 4, pp. 1601 - 1601
Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have... 
Concretes | Trees | Algorithms | Numerical analysis | Computational electromagnetics | Homology | Decomposition | Failure
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2013, Volume 35, Issue 5, pp. B1034 - B1054
Journal Article
Neuroinformatics, ISSN 1539-2791, 01/2018
Nervous systems are characterized by neurons displaying a diversity of morphological shapes. Traditionally, different shapes have been qualitatively described... 
Algebraic Topology | Computer Science | Mathematics | Bioinformatics
Journal Article
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