MATH 4810 Computational Modelling

Module 07 · V&V & Decisions

Verification, Validation, and Decision Support

A model earns credibility through evidence. This module covers verification strategies, validation evidence, sensitivity and uncertainty analysis, scenario design, and the communication skills the capstone demands.

2 units · 6 lessons 1 laboratory Simulation capstone · 45% + 5% ≈ 22 hours

§ Overview

This module closes the loop. Verification asks whether the implementation matches the specification; validation asks whether the model represents the real system well enough for its purpose. Around those two activities sit sensitivity analysis, uncertainty quantification, robustness testing, and the communication skills that make a model useful to someone else.

Unit 7.1

Model credibility.

Unit 7.2

Integrative simulation practice.

Laboratory 13

Verification and validation.

Capstone

Integrated computational modelling project.

§ Learning outcomes

By the end of Module 7 you will be able to

  • Verify model implementation against its specification using systematic strategies.
  • Validate results against data, analytical solutions, and limiting cases.
  • Conduct sensitivity, uncertainty, and robustness analyses and interpret their implications.
  • Design scenario experiments rather than running one-off trials.
  • Create reproducible computational workflows and archive them.
  • Communicate simulation assumptions, results, limitations, and recommendations clearly to technical and non-technical audiences.

7.1 Model Credibility

Credibility is earned through documented evidence, not asserted. This unit covers verification, validation, and the sensitivity and uncertainty analyses that establish how much weight a model can bear.

7.2 Integrative Simulation Practice

The capstone is a modelling project from end to end. This unit covers the experimental planning, communication, and integration skills that make it work.

§ Laboratory

Lab 13

Verification and validation

Apply verification and validation strategies to a model of your choice and document the evidence for each claim.

§ Simulation capstone

Integrated computational modelling project · 45% + 5%

Construct, verify, validate, analyze, and communicate a substantial computational model. The capstone carries the largest single weight in the course because it demonstrates integrated modelling competence across every module.

Full capstone brief and rubric →

Suggested application areas

  • Health-service queues
  • Inventory systems
  • Financial risk
  • Energy storage
  • Population or epidemic dynamics
  • Diffusion or heat transfer
  • Transportation flows
  • Supply chains
  • Reliability systems
  • Resource allocation
  • Environmental uncertainty
  • Emergency-service operations

Core deliverables

  • Project proposal and problem statement
  • Conceptual model diagram
  • Mathematical formulation
  • Implementation and verification evidence
  • Validation evidence
  • Numerical error analysis
  • Sensitivity and uncertainty analysis
  • Scenario experiments and visualizations
  • Limitations and ethical considerations
  • Reproducible model files
  • Technical report and executive summary
  • Accessible presentation

§ Common pitfalls

Watch for these

  • Verification and validation are different activities. A model that is verified is not thereby validated, and a model that is validated is not thereby verified.
  • A simulation model should support decision-making without concealing uncertainty. Reporting a single number without its uncertainty undermines the purpose of the model.
👤