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Efficient Inference in First Passage Time Models. [PDF]
Liu S, Fengler A, Frank MJ, Harrison MT.
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Heuristic computational approach for nonlinear reaction-diffusion kinetics in catalytic systems. [PDF]
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Galerkin approximations for dissipative magnetohydrodynamics
Physical Review A, 1990A Galerkin approximation scheme is proposed for voltage-driven, dissipative magnetohydrodynamics. The trial functions are exact eigenfunctions of the linearized continuum equations and represent helical deformations of the axisymmetric, zero-flow, driven steady state. The lowest nontrivial truncation is explored: one axisymmetric trial function and one
, Chen, , Shan, , Montgomery
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A galerkin approximation for curved beams
Computer Methods in Applied Mechanics and Engineering, 1993We apply a Galerkin method to the equations of linearized three- dimensional elasticity for a curved beam. We explicitly construct an approximate solution of the three-dimensional elasticity problem as a minimizer of the \(H^ 1\) norm with respect to a geometric parameter.
Figueiredo, Isabel Narra, Trabucho, L.
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Crank‐nicolsen‐Galerkin approximation for Maxwell's equations
Mathematical Methods in the Applied Sciences, 1982AbstractThe Maxwell equations are formulated as an evolution equation in a suitable chosen Hilbert space involving a densely defined closed skew‐Hermitian operator which generates a unitary group. A Crank‐Nicolsen‐Galerkin approximation is then established and convergence is shown by arguments from the theory of approximation of groups of operators.
Hoppe, Ronald H. W., Brosowski, B.
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Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
SIAM Journal on Numerical Analysis, 2006A theoretical framework for the analysis of discontinuous Galerkin approximations of the Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and sufficient conditions for a spurious-free approximation are established, and it is shown that, at least on conformal meshes, basically all the discontinuous Galerkin methods in the ...
Buffa A, Perugia I
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Spectral galerkin approximation of couette-taylor flow
Applied Mathematics and Mechanics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Heyuan, Li, Kaitai
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POD‐Galerkin approximations in PDE‐constrained optimization
GAMM-Mitteilungen, 2010AbstractProper orthogonal decomposition (POD) is one of the most popular model reduction techniques for nonlinear partial differential equations. It is based on a Galerkin‐type approximation, where the POD basis functions contain information from a solution of the dynamical system at pre‐specified time instances, so‐called snapshots.
Sachs, Ekkehard W., Volkwein, Stefan
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Galerkin Approximations in Problems with p-Laplacian
Journal of Mathematical Sciences, 2016The Dirichlet problem \[ -\mathrm{div}(|\nabla u|^{p-2}\nabla u)= f,\,\,\, u|_{\partial \Omega}=0 \] is considered in a bounded smooth domain \(\Omega\subset R^d\), \(p>1\), \(X=W_0^{1,p}\) is the Sobolev space, \(u\in X\), \(f\) is a linear continuous functional on \(X\). A system of Galerkin approximations is constructed.
Zhikov, V. V., Yakubovich, D. A.
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Saddle Points and Ritz–Galerkin Approximations
SIAM Journal on Mathematical Analysis, 1980This paper establishes a theorem for Ritz–Galerkin approximations to a unique saddle point of a function defined on a reflexive Banach space. The functional value at the saddle point is given in terms of an infimum and supremum over two closed, possibly infinite dimensional subspaces whose direct sum determines the original Banach space.
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