Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita +5 more
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Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
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Cluster robust error estimates for the Rayleigh–Ritz approximation II: Estimates for eigenvalues [PDF]
, 2005 This is the second part of a paper that deals with error estimates for the Rayleigh–Ritz approximations of the spectrum and invariant subspaces of a bounded Hermitian operator in a Hilbert or Euclidean space.
E. Ovtchinnikov, Ovtchinnikov, E.
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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Decay estimates for 1-D parabolic PDES with boundary disturbances [PDF]
, 2018 In this work, decay estimates are derived for the solutions of 1-D linear parabolic PDEs with disturbances at both boundaries and distributed disturbances.
Iasson Karafyllis +3 more
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The main eigenvalues of a graph: a survey [PDF]
, 2007 We survey results relating main eigenvalues and main angles to the structure of a graph. We provide a number of short proofs, and note the connection with star partitions.
Peter Rowlinson, Rowlinson, Peter
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Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes [PDF]
, 2012 Consider a linear spectral pencil of the form P(−i∇)− zQ(x), z ∈ C. If P−1 ∈ weak-Lp and Q ∈ Lp for some 1 < p
Elton, Daniel, Ta, Tri Ngoc
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Probabilistic representations of solutions of nonlinear PDEs
, 2022 We provide new probabilistic representations for solutions of nonlinear differential equations through the use of branching processes. These stochastic methods are used to derive local existence criteria and can be implemented for Monte Carlo simulations
Penent, Guillaume
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An ALE ESFEM for solving PDEs on evolving surfaces [PDF]
, 2012 Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662) +3 more
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Statistical Data Compiled and Published by the Bureau of Crop Estimates, 1863-1920 [PDF]
Excerpts from the Foreword: The Bureau of Crop Estimates (Bureau of Statistics) has collected and compiled data relating to agriculture since its organization as a statistical division in the Patent Office in 1840, and has published such data in various ...
Bureau of Crop Estimates
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