On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras+3 more
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Gross-Pitaevskii systems of fractional order with respect to multicomponent solitary wave dynamics. [PDF]
Bilal M+6 more
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Basic Properties of Some Differential-Algebraic Equations
E. Griepentrog, Roswitha März
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Notes on Differential Equations Arising from a Representation of 2-Toroidal Lie Algebras [PDF]
Kenji Iohara+2 more
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Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations
The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo+3 more
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Comprehensive study of stochastic soliton solutions in nonlinear models with application to the Davey Stewartson equations. [PDF]
Madani YA+5 more
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ABSTRACT This paper proposes a multilayer artificial neural network (ANN) method to predict the probability of default (PD) within a survival analysis framework. The ANN method captures hidden interconnections among covariates that influence PD, potentially leading to improved predictive performance compared to both logit and skewed logit models.
Yiannis Dendramis+2 more
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Exploration of soliton solutions of the nonlinear Kraenkel-Manna-Merle system using innovative methods in ferromagnetic materials. [PDF]
Kopçasız B+3 more
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Lie Symmetries of Differential Equations by Computer Algebra [PDF]
Mehmet Can
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Perspective Projection of an Ellipse and an Ellipsoid for Analytical View Factor Evaluation
ABSTRACT Radiative view factors are fundamental quantities for evaluating radiative heat transfer between different surfaces. While analytical expressions of view factors have been evaluated for various types of basic geometries, including circular disks and spheres, extending these solutions to more complex geometries, such as ellipses and ellipsoids ...
Kaname Sasaki
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