Numerical analysis of the Burgers' equation in the presence of uncertainty

Engineering

• Initial and Boundary Condition 100%
• Deterministic Case 100%
• System Matrix 50%
• Posedness 50%
• Discretization 50%
• Derivative Operator 50%
• Boundary Condition 50%
• Eigenvalue 50%
• Largest Eigenvalue 50%
• Spectral Radius 50%
• Statistical Characterization 50%
• Input Uncertainty 50%
• Ensure Stability 50%
• Partial Information 50%

Mathematics

• Polynomial 100%
• Numerical Analysis 100%
• Boundary Condition 75%
• Initial Condition 50%
• Time Step 50%
• Stochastics 50%
• Eigenvalue 50%
• Summation 25%
• Discretization 25%
• Continuous Problem 25%
• Spatial Derivative 25%
• Variance 25%
• Spectral Radius 25%
• Orthogonal Polynomial 25%
• Posedness 25%
• System Matrix 25%

Keyphrases

• Burgers Equation 100%
• Polynomial Chaos Expansion 66%
• Input Uncertainty 33%
• Orthogonal Polynomials 33%
• Largest Eigenvalue 33%
• Explicit Time 33%
• Uncertain Boundary Conditions 33%
• Numerical Discretization 33%
• Statistical Characterization 33%
• Property Boundary 33%
• Derivative Operator 33%
• Truncated Polynomials 33%
• Uncertain Initial Conditions 33%
• Truncated Series 33%
• Chaos System 33%
• Truncated Expansion 33%