Results 191 to 200 of about 221 (205)

Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids

Journal of Scientific Computing, 2016
A family of vertex-centered finite volume schemes is constructed for the numerical solution of highly nonlinear parabolic equations with applications to radiation hydrodynamics and magneto hydrodynamics. The primary unknowns are defined at the cell vertices and the derivation of the scheme is performed through a linearity preserving approach.
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A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes

International Journal for Numerical Methods in Fluids, 2015
SummaryThis paper introduces a vertex‐centered linearity‐preserving finite volume scheme for the heterogeneous anisotropic diffusion equations on general polygonal meshes. The unknowns of this scheme are purely the values at the mesh vertices, and no auxiliary unknowns are utilized.
Jiming Wu, Zhiming Gao, Zihuan Dai
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A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids

Journal of Computational and Theoretical Transport, 2016
ABSTRACTWe propose a new family of cell-centered finite volume schemes with compact stencils for anisotropic diffusion problems on arbitrary polygonal grids. The derivation of the schemes is based on a general framework through a certain linearity-preserving approach, so that piecewise linear solutions are preserved. These schemes have only one primary
Longshan Luo, Jiming Wu, Zhiming Gao
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Weakening the conditions in some classical theorems on linear preserver problems

Linear and Multilinear Algebra, 2015
Linear preserver problems concern the study of linear maps on matrices or operators preserving special properties. In all previous results, one needs to know certain information of the maps on an infinite number of matrices to characterize the structures of a class of linear preservers.
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A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids

Computer Methods in Applied Mechanics and Engineering, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Weiwei, Wu, Jiming, Zhang, Xiaoping
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On optimality preserving eliminations for the minimum edge count and optimal Jacobian accumulation problems in linearized DAGs

Optimization Methods and Software, 2012
The minimum edge count (MEC) and optimal Jacobian accumulation problems in linearized directed acyclic graphs (DAGs) result from the combinatorics induced by the associativity of the chain rule of differential calculus. This paper discusses a suitable graph formalism followed by proving a number of results that yield a considerable search space ...
Viktor Mosenkis, Uwe Naumann
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Weakening the conditions in some classical theorems on linear preserver problems

Linear and Multilinear Algebra, 2016
Zejun Huang
exaly  

A structure-preserving algorithm for the linear lossless dissipative Hamiltonian eigenvalue problem

Annals of Mathematical Sciences and Applications, 2022
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Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems

Journal of Mathematical Analysis and Applications, 2018
Kichi-Suke Saito, Ryotaro Tanaka
exaly  

A Generalization of Strongly Preserver Problems of Drazin Invertibility

Acta Mathematica Vietnamica, 2018
Mourad Oudghiri
exaly