Results 31 to 40 of about 3,838,636 (215)
Conditional Expectation and Ordering [PDF]
The Annals of Probability, 1979 Let $(\Omega, \mathscr{A}, \mu)$ be a probability space and let $L$ be an ideal in $M(\Omega, \mathscr{A}, \mu)$ containing $\chi_\Omega$. A one-one correspondence between the class of "order closed" linear subspaces of $L$ and the sub $\sigma$-algebras of $\mathscr{A}$ is proved.
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Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization [PDF]
, 2008 Formulation of the scale transition equations coupling the microscopic and macroscopic variables in the second-order computational homogenization of heterogeneous materials and the enforcement of generalized boundary conditions for the representative ...
Bicanic, Nenad +2 more
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Order conditions of stochastic Runge-Kutta methods by B-series [PDF]
, 2000 In this paper, general order conditions and a global convergence proof are given for stochastic Runge-Kutta methods applied to stochastic ordinary differential equations (SODEs) of Stratonovich type. This work generalizes the ideas of B-series as applied
Burrage, Pamela +3 more
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On a Conjecture in Second-Order Optimality Conditions [PDF]
Journal of Optimization Theory and Applications, 2018 In this paper we deal with optimality conditions that can be verified by a nonlinear optimization algorithm, where only a single Lagrange multiplier is avaliable. In particular, we deal with a conjecture formulated in [R. Andreani, J.M. Martinez, M.L.
Roger Behling +3 more
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, 2023 In this paper we study the optimal control of a parabolic initial-boundary value problem of Allen--Cahn type with dynamic boundary conditions. Phase field systems of this type govern the evolution of coupled diffusive phase transition processes with ...
Sprekels, Jürgen, Tröltzsch, Fredi
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Langmuir-Maxwell and Langmuir-Smoluchowski boundary conditions for thermal gas flow simulations in hypersonic aerodynamics [PDF]
, 2012 The simulation of nonequilibrium thermal gas flow is important for the aerothermodynamic design of re-entry and other high-altitude vehicles. In computational fluid dynamics, the accuracy of the solution to the Navier–Stokes–Fourier (N–S–F) equations ...
Reese, Jason M. +7 more
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Second order evolution equations with nonlocal conditions
Demonstratio Mathematica, 2017 In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak +2 more
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Conditional Preference Orders and Their Numerical Representations [PDF]
SSRN Electronic Journal, 2014 We provide an axiomatic system modeling conditional preference orders which is based on conditional set theory. Conditional numerical representations are introduced, and a conditional version of the theorems of Debreu on the existence of numerical representations is proved.
Samuel Drapeau, Asgar Jamneshan
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Second-order optimality conditions for interval-valued functions
Journal of Inequalities and Applications, 2023 This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and unconstrained, by means of second-order optimality conditions.
Gabriel Ruiz-Garzón +3 more
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A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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