Results 51 to 60 of about 100,034 (331)
Effect of correlation on bond prices in short rate models of interest rates [PDF]
Mathematica Moravica, 2018 Short rate models of interest rates are formulated in terms of stochastic differential equations which describe the evoution of an instantaneous interest rate, called short rate.
Girová Zuzana, Stehíková Beáta
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Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Computing optimal control with a quasilinear parabolic partial differential equation [PDF]
Surveys in Mathematics and its Applications, 2009 This paper presents the numerical solution of a constrained optimal control problem (COCP) for quasilinear parabolic equations. The COCP is converted to unconstrained optimization problem (UOCP) by applying the exterior penalty function method. Necessary
M. H. Farag
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Mathematics in Engineering, 2019 We determine corrector estimates quantifying the convergence speed of the upscaling of a pseudo-parabolic system containing drift terms incorporating the separation of length scales with relative size $\epsilon\ll1$.
Arthur. J. Vromans +2 more
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Boundary Value Problems, 2020 The non-autonomous order-2γ parabolic partial differential equation for an epitaxial thin film growth model with dimension d = 3 $d=3$ is investigated by the method of uniform estimates.
Xiaojie Yang, Hui Liu, Chengfeng Sun
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ABOUT MODEL OF LOADED PARTIAL HYPERBOLIC-PARABOLIC DIFFERENTIAL EQUATION OF SECOND ORDER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015 We studied a models of loaded equation of mixed hyperbolic-parabolic type with characteristicly and not characteristicly modifying line. For the proposed equation models boundary value problem is considered and solutions is written out.
K.U. Khubiev
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A New Family of Ternary Intermetallic Compounds with Dualistic Atomic Ordering – The ZIP Phases
Advanced Materials, EarlyView.The ZIP phases are ternary intermetallic compounds with dualistic atomic ordering, i.e., they exhibit one face‐centered cubic (fcc; space group Fd3¯$\bar 3$m) variant and one hexagonal (space group P63/mmc) variant. The ZIP phases in the Nb‐Si‐Ni system are the Nb3SiNi2 (fcc) and Ni3SiNb2 (hexagonal) ternary IMCs, crystal structure schematics of which ...
Matheus A. Tunes +24 more
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A PDAE formulation of parabolic problems with dynamic boundary conditions
, 2018 The weak formulation of parabolic problems with dynamic boundary conditions is rewritten in form of a partial differential-algebraic equation. More precisely, we consider two dynamic equations with a coupling condition on the boundary. This constraint is
Altmann, Robert
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Қарағанды университетінің хабаршысы. Математика сериясыWe study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic ...
C. Ashyralyyev, T.A. Ashyralyyeva
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Kelvin Probe Force Microscopy in Bionanotechnology: Current Advances and Future Perspectives
Advanced Materials, EarlyView.Kelvin probe force microscopy (KPFM) enables the nanoscale mapping of electrostatic surface potentials. While widely applied in materials science, its use in biological systems remains emerging. This review presents recent advances in KPFM applied to biological samples and provides a critical perspective on current limitations and future directions for
Ehsan Rahimi +4 more
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