A simple and efficient finite difference method for the phase-field crystal equation on curved surfaces

Mathematics

• Phase Field 100%
• Curved Surface 97%
• Crystal 76%
• Finite Difference Method 69%
• Discrete Operators 59%
• Discrete Laplacian 34%
• Jacobi Method 32%
• Laplace-Beltrami Operator 28%
• Unconditionally Stable 27%
• Zero set 27%
• Distance Function 25%
• Signed 25%
• Level Set 24%
• Discrete Systems 24%
• Computational Results 23%
• Neumann Boundary Conditions 23%
• System of equations 21%
• Three-dimensional 17%
• Iteration 15%
• Demonstrate 14%
• Standards 13%

Physics & Astronomy

• curved surfaces 87%
• crystal field theory 72%
• narrowband 50%
• operators 25%
• boundary conditions 13%

Engineering & Materials Science

• Finite difference method 73%
• Crystals 72%
• Iterative methods 19%
• Boundary conditions 13%
• Set theory 11%