Error-controlled global sensitivity analysis of ordinary differential equations
DOI10.1016/J.JCP.2011.05.011zbMath1252.65017OpenAlexW2039673066MaRDI QIDQ655009
Andrea Y. Weiße, Wilhelm Huisinga
Publication date: 28 December 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.05.011
convergenceCauchy problemnumerical examplesglobal sensitivity analysisRothe methodrandom initial conditionsapproximate approximationserror control/adaptivity
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Uses Software
Cites Work
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- Toward approximate moving least squares approximation with irregularly spaced centers
- Approximate approximations from scattered data
- Mathematical physiology
- Boundary layer approximate approximations and cubature of potentials in domains
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Adaptive multilevel solution of nonlinear parabolic PDE systems. Theory, algorithm, and applications
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Sensitivity analysis of stoichiometric networks: an extension of metabolic control analysis to non-steady state trajectories
- Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
- A meshfree weak-strong (MWS) form method for time-dependent problems
- Monte Carlo and Quasi-Monte Carlo Methods 2004
- An adaptive multilevel approach to parabolic equations
- On Rational Approximations of Semigroups
- Uncertainty, Variability, and Sensitivity Analysis in Physiological Pharmacokinetic Models
- Finite Volume Methods for Hyperbolic Problems
- Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
- Nonlinear Bayesian estimation using Gaussian sum approximations
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