Space-time Multilevel Quadrature Methods and their Application for Cardiac Electrophysiology
DOI10.1137/21m1418320arXiv2105.02007OpenAlexW3159186831MaRDI QIDQ6188697
A. Quaglino, Michael D. Multerer, Rolf H. Krause, Helmut Harbrecht, Marc Schmidlin, Unnamed Author
Publication date: 11 January 2024
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02007
multilevel methodsspace-time methodsmonodomain equationcardiac electrophysiologyheart fibers uncertainty
Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Probabilistic methods, stochastic differential equations (65Cxx) Computational methods for problems pertaining to measure and integration (28-08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the construction of \(L\)-fold sparse tensor product spaces
- On the low-rank approximation by the pivoted Cholesky decomposition
- Gradient flows and variational principles for cardiac electrophysiology: toward efficient and robust numerical simulations of the electrical activity of the heart
- Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
- Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation
- Approximation theory in tensor product spaces
- Qualitative theory of the Fitz Hugh-Nagumo equations
- Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology
- Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion
- 50 Years of Time Parallel Time Integration
- Multilevel Monte Carlo Methods
- A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping
- Multilevel Monte Carlo Path Simulation
- Efficient approximation of random fields for numerical applications
- Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol
- Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction
- Multilevel Quadrature for Elliptic Parametric Partial Differential Equations in Case of Polygonal Approximations of Curved Domains
- Uncertainty Quantification for PDEs with Anisotropic Random Diffusion
- Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods
