Results 31 to 40 of about 1,446,963 (101)
Numerical Analysis of Nonlinear Subdiffusion Equations [PDF]
SIAM Journal on Numerical Analysis, 2017 We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Bangti Jin, Buyang Li, Zhi Zhou
semanticscholar +1 more source
Cubatures on Grassmannians: moments, dimension reduction, and related topics [PDF]
, 2017 We briefly explain the use of cubature points on Grassmannians in numerical analysis.
arxiv +1 more source
arXiv, 2022 User Manual for the hp3D Finite Element Software, available on GitHub at https://github.com/Oden-EAG ...
arxiv
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis [PDF]
Pure and Applied Analysis, 2018 We study the resolvent for nontrapping obstacles on manifolds with Euclidean ends. It is well known that for such manifolds, the outgoing resolvent satisfies $\|\chi R(k) \chi\|_{L^2\to L^2}\leq C{k}^{-1}$ for ${k}>1$, but the constant $C$ has been ...
J. Galkowski, E. Spence, J. Wunsch
semanticscholar +1 more source
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 We introduce an ultraweak space-time variational formulation for the wave equation, prove its well-posedness (even in the case of minimal regularity) and optimal inf-sup stability.
K. Urban +3 more
semanticscholar +1 more source
Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
Numerical Algorithms, 2019 In this paper, an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
S. Migórski, Shengda Zeng
semanticscholar +1 more source
Numerical integration without smoothness assumption [PDF]
arXiv, 2020 We consider numerical integration in classes, for which we do not impose any smoothness assumptions. We illustrate how nonlinear approximation, in particular greedy approximation, allows us to guarantee some rate of decay of errors of numerical integration even in such a general setting with no smoothness assumptions.
arxiv
Numerical analysis for a chemotaxis-Navier-Stokes system [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2019 In this paper we develop a numerical scheme for approximating a d-dimensional chemotaxis-Navier–Stokes system, d =2, 3, modeling cellular swimming in incompressible fluids. This model describes the chemotaxis-fluid interaction in cases where the chemical
Abelardo Duarte-Rodríguez +3 more
semanticscholar +1 more source
Numerical analysis of sparse initial data identification for parabolic problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2019 In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are exponentially ill-posed due to the strong smoothing property of parabolic ...
D. Leykekhman, B. Vexler, Daniel Walter
semanticscholar +1 more source
$L^\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations [PDF]
, 2019 In this work, we apply an iterative energy method \`a la de Giorgi in order to establish $L^{\infty}$ bounds for numerical solutions of noncoercive convection-diffusion equations with mixed Dirichlet-Neumann boundary conditions.
arxiv +1 more source