A Multilevel Stochastic Collocation Method for Schrödinger Equations with a Random Potential-Reference-Cited by-同舟云学术

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A Multilevel Stochastic Collocation Method for Schrödinger Equations with a Random Potential

Published:2022-12-20 Issue:4 Volume:10 Page:1753-1780
ISSN:2166-2525
Container-title:SIAM/ASA Journal on Uncertainty Quantification
language:en
Short-container-title:SIAM/ASA J. Uncertainty Quantification

Author:

Jahnke Tobias¹^ORCID,Stein Benny¹

Affiliation:

1. Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology KIT, Karlsruhe, Germany.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

Reference26 articles.

1. Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems

2. A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

3. An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime

4. Multilevel Monte Carlo Path Simulation

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