Numerical solution of the Optimal Transportation problem using the Monge-Ampère equation

Mathematics

• Boundary conditions 47%
• Demonstrate 21%
• Finite Difference Scheme 35%
• Grid 29%
• Justification 36%
• Laplace's equation 36%
• Newton Methods 34%
• Numerical Methods 26%
• Numerical Solution 50%
• Optimal Transportation 100%
• Partial differential equation 26%
• Robust Performance 54%
• Singular Solutions 41%
• Transportation Problem 90%

Engineering & Materials Science

• Boundary conditions 55%
• Laplace equation 48%
• Newton-Raphson method 40%
• Numerical methods 32%
• Partial differential equations 35%

Physics & Astronomy

• boundary conditions 34%
• grids 19%
• Laplace equation 29%
• Newton methods 32%
• partial differential equations 23%
• performance 10%