A gradient-based sampling approach for dimension reduction of partial differential equations with stochasticcoefficients

Mathematics

• Partial Differential Equation 100%
• Approximates 50%
• Cross Section 50%
• Convergence Analysis 50%
• Random Input 50%
• Linear Convergence 50%
• Stochastics 50%
• Convergence Rate 50%
• Monte Carlo 50%
• Numerical Example 50%
• Nonlinear Problem 50%
• Stochastic System 50%
• Random Variable 50%

Engineering

• Partial Differential Equation 100%
• Illustrates 50%
• Nonlinear Problem 50%
• Numerical Example 50%
• Convergence Rate 50%
• Error Tolerance 50%
• Random Variable ξ 50%
• Conventional Technique 50%
• Karhunen-Love Expansion 50%
• Cross Section 50%
• Stochastic System 50%

Chemical Engineering

• Stochastic System 100%