Publications associées à A posteriori error estimation for partial differential equations with random input data

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A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

2020

A posteriori error estimation for partial differential equations with random input data

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A Local Law for Singular Values from Diophantine Equations

Benchmarking of the plane-to-plane metric

High-Frequency Analysis Of Parabolic Stochastic Pdes

Liouville Measure As A Multiplicative Cascade Via Level Sets Of The Gaussian Free Field

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

MATHICSE Technical Report: A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

An Easily Computable Error Estimator In Space And Time For The Wave Equation

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

MATHICSE Technical Report : Efficient state/Parameter estimation in nonlinear unsteady PDEs by reduced basis ensemble Kalman filter

High-Frequency Analysis Of Parabolic Stochastic Pdes

Benchmarking of the plane-to-plane metric

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients

MATHICSE Technical Report: A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

An Easily Computable Error Estimator In Space And Time For The Wave Equation

A Local Law for Singular Values from Diophantine Equations

Liouville Measure As A Multiplicative Cascade Via Level Sets Of The Gaussian Free Field

MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

MATHICSE Technical Report : Efficient state/Parameter estimation in nonlinear unsteady PDEs by reduced basis ensemble Kalman filter