Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

A simple numerical procedure for estimating nonlinear uncertainty propagation.

R Luck1, J W Stevens

  • 1Mechanical Engineering Department, Mississippi State University, Mail Stop 9552, 210 Carpenter Building, P.O. Box ME, Mississippi State, MS 39762, USA. luck@me.msstate.edu

ISA Transactions
|November 13, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Preventing the Progression to Type 2 Diabetes Mellitus in Adults at High Risk: A Systematic Review And Network Meta-Analysis of Lifestyle, Pharmacological and Surgical Interventions.

Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research·2016
Same author

The Cost-Effectiveness of Biologic Dmards in Patients With Severe or Mild-To-Severe Rheumatoid Arthritis After Conventional Dmards.

Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research·2016
Same author

Ledipasvir-Sofosbuvir for Treating Chronic Hepatitis C: A NICE Single Technology Appraisal-An Evidence Review Group Perspective.

PharmacoEconomics·2016
Same author

Systematic review, network meta-analysis and exploratory cost-effectiveness model of randomized trials of minimally invasive techniques versus surgery for varicose veins.

The British journal of surgery·2014
Same author

Authors' reply: systematic review of the efficacy of cilostazol, naftidrofuryl oxalate and pentoxifylline for the treatment of intermittent claudication (Br J Surg 2012; 99: 1630-1638).

The British journal of surgery·2013
Same author

Clinical effectiveness and cost-effectiveness of minimally invasive techniques to manage varicose veins: a systematic review and economic evaluation.

Health technology assessment (Winchester, England)·2013
Same journal

Hybrid vehicle state estimation using closed-form liquid neural networks and nonlinear Kalman filtering.

ISA transactions·2026
Same journal

Cross-coupled synchronization control strategy for rebar binding robots based on impedance control.

ISA transactions·2026
Same journal

Gas flow tracking for electronic pressure control system in gas chromatography under state constraints and hysteresis：An innovative fuzzy adaptive control approach.

ISA transactions·2026
Same journal

Stackelberg differential game-based fuzzy adaptive hierarchical optimal control for a nonlinear system with unknown dynamics.

ISA transactions·2026
Same journal

Composite fault-tolerant predictive control strategy for PMSM demagnetization faults.

ISA transactions·2026
Same journal

Bias-compensated Q-learning for optimal tracking control under denial-of-service attacks.

ISA transactions·2026
See all related articles

This study presents a new method for estimating uncertainty propagation in nonlinear functions. It simplifies complex calculations, offering a more accessible alternative to Monte Carlo simulations and intractable analytical methods.

Area of Science:

  • Numerical Analysis
  • Computational Mathematics
  • Error Propagation

Background:

  • Propagation of uncertainty in nonlinear functions is challenging.
  • Existing methods like Monte Carlo and analytical approaches have limitations (computationally intensive or intractable).

Purpose of the Study:

  • To derive and demonstrate a novel method for estimating uncertainty propagation in nonlinear applications.
  • To provide a more accessible and efficient alternative to current techniques.

Main Methods:

  • Representing nonlinear functions piecewise using straight line segments.
  • Calculating the probability density function (PDF) from the transformation of these line segments.
  • Deriving mean and confidence intervals from the resulting PDF.

Related Experiment Videos

Main Results:

  • The piecewise linear approximation method effectively estimates uncertainty propagation.
  • For normally distributed variables, mean and confidence intervals can be efficiently calculated using the error function (erf).
  • A simple example demonstrates the technique's applicability.

Conclusions:

  • The proposed method offers a practical solution for uncertainty propagation in nonlinear systems.
  • It provides a computationally feasible alternative to Monte Carlo and complex analytical solutions.
  • The technique is versatile, with potential variations for broader applications.