[HTML][HTML] A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations

MJ Colbrook, LJ Ayton - Journal of Computational Physics, 2022 - Elsevier
We develop a rapid and accurate contour method for the solution of time-fractional PDEs.
The method inverts the Laplace transform via an optimised stable quadrature rule, suitable …

Fast Numerical Approximation of Parabolic Problems Using Model Order Reduction and the Laplace Transform

F Henríquez, JS Hesthaven - arXiv preprint arXiv:2403.02847, 2024 - arxiv.org
We introduce a novel, fast method for the numerical approximation of parabolic partial
differential equations (PDEs for short) based on model order reduction techniques and the …

Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations

F Romor, G Stabile, G Rozza - arXiv preprint arXiv:2308.03396, 2023 - arxiv.org
A slow decaying Kolmogorov n-width of the solution manifold of a parametric partial
differential equation precludes the realization of efficient linear projection-based reduced …

An exponential spectral method using VP means for semilinear subdiffusion equations with rough data

B Li, Y Lin, S Ma, Q Rao - SIAM Journal on Numerical Analysis, 2023 - SIAM
A new spectral method is constructed for the linear and semilinear subdiffusion equations
with possibly discontinuous rough initial data. The new method effectively combines several …

Model order reduction in contour integral methods for parametric PDEs

N Guglielmi, M Manucci - SIAM Journal on Scientific Computing, 2023 - SIAM
In this paper we discuss a projection model order reduction method for a class of parametric
linear evolution PDEs, which is based on the application of the Laplace transform. The main …

Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction

M Kartmann, M Manucci, B Unger… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a model predictive control (MPC) framework for linear switched evolution
equations arising from a parabolic partial differential equation (PDE). First-order optimality …

Uniform Approximation of Eigenproblems of a Large-Scale Parameter-Dependent Hermitian Matrix

M Manucci, E Mengi, N Guglielmi - arXiv preprint arXiv:2409.05791, 2024 - arxiv.org
We consider the approximation of the smallest eigenvalue of a large parameter-dependent
Hermitian matrix over a continuum compact domain. Our approach is based on …

Structured Linear Stability Problems

N Guglielmi, C Lubich - Recent Stability Issues for Linear Dynamical …, 2024 - Springer
We study problems of robustness of linear stability under structured matrix perturbations.
Perturbations are restricted to lie in a prescribed structure space, which can be an arbitrary …

Model Order Reduction in Contour Integral Methods for parametric PDEs

M Manucci, N Guglielmi - simtech2023.uni-stuttgart.de
We discuss a projection model order reduction method for linear evolution PDEs, which is
based on the application of the Laplace transform [2]. The main advantage of this approach …

[PDF][PDF] Pseudospectral roaming contour integral methods for convection-diffusion equations

M Manucci - dma.unina.it
Pseudospectral roaming contour integral methods for convection-diffusion equations Page 1
0/13 Pseudospectral roaming contour integral methods for convection-diffusion equations …