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BMP and NODAL paracrine signalling regulate the totipotent-like cell state in embryonic stem cells. [PDF]
Front Cell Dev BiolJagdish S +5 more
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Canonical neurodevelopmental trajectories of structural and functional manifolds. [PDF]
ElifeMonaghan A +5 more
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From chemically defined hiPSCs to self-organizing cardiac organoids: current strategies guided by developmental signaling. [PDF]
Stem Cell Res TherYang H +6 more
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The convergence for nodal expansion method
Applied Mathematics-A Journal of Chinese Universities, 1993This paper is concerned with conditions for convergence of approximations using the nodal expansion method, a relatively new method for approximate solution of partial differential equations. The essence of the method, which is discussed in the context of a model linear elliptic equation (the Helmholtz equation), is that the domain is partitioned into ...
Huang, Aixiang, Zhang, Bo
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New basis functions for reactor core calculations using the nodal expansion method
Annals of Nuclear Energy, 2022Abstract In 1977 Finnemann, Bennewitz and Wagner introduced the Nodal Expansion Method (NEM), by combining neutron diffusion theory, polynomial expansions, interface currents continuity, and weighted residual techniques. Extensive testing clearly indicated that it was consistent, computationally efficient, and accurate for meshes up to the typical ...
Sérgio B. Paixão, Fernando C. Silva
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Annals of Nuclear Energy, 2016
Abstract A general nodal expansion method (GNEM) is developed to solve the multi-dimensional steady and transient convection–diffusion equation in this paper. The developed GNEM is an integration of the modified nodal integral method (MNIM) and nodal expansion method (NEM).
Xiafeng Zhou, Jiong Guo, Fu Li
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Abstract A general nodal expansion method (GNEM) is developed to solve the multi-dimensional steady and transient convection–diffusion equation in this paper. The developed GNEM is an integration of the modified nodal integral method (MNIM) and nodal expansion method (NEM).
Xiafeng Zhou, Jiong Guo, Fu Li
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Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method
Nuclear Engineering and Technology, 2022 A Jacobian-Free Newton Krylov Two-Nodal Coarse Mesh Finite Difference algorithm based on Nodal Expansion Method (NEM_TNCMFD_JFNK) is successfully developed and proposed to solve the three-dimensional (3D) and multi-group reactor physics models.
Xiafeng Zhou
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A development of the HEXNEM nodal expansion method
Annals of Nuclear Energy, 2013Abstract In this paper a development of the HEXNEM nodal expansion methods is presented, together with a program implementation and results from comparisons with benchmark problem solutions. The new development consists in the introduction of tangentially weighted exponential basis functions and continuity and boundary conditions for the tangential ...
Ivaylo Christoskov, Petko T. Petkov
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An Alternate Formulation of the Nodal Expansion Method
Nuclear Science and Engineering, 2001An alternate formulation of the two-group transverse-integration-based nodal expansion method is presented. In this formulation, the two-group problem is formulated by using the relationship between the group fluxes derived from an analytical procedure. As a result, a simplified procedure for the thermal group is suggested. The numerical results of the
Keqiang Ruan, Xiaogang Xue, Xuedong Fu
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