Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition

Mathematics

• Hyperbolic Partial Differential Equations 73%
• Energy 42%
• Overset Grids 37%
• Operator 29%
• Numerical Instability 28%
• Complex Geometry 25%
• Hyperbolic Problems 24%
• High-order Methods 24%
• Summation 20%
• One Dimension 20%
• Initial-boundary-value Problem 18%
• Nonlinear Problem 17%
• Partial differential equation 15%
• Higher Order 14%
• Derivative 12%
• Form 8%

Physics & Astronomy

• hyperbolic differential equations 100%
• partial differential equations 61%
• decomposition 47%
• operators 44%
• boundary value problems 21%
• interpolation 20%
• polynomials 18%
• energy 18%
• grids 17%
• geometry 11%

Engineering & Materials Science

• Partial differential equations 62%
• Numerical methods 55%
• Decomposition 45%
• Boundary value problems 34%
• Interpolation 26%
• Derivatives 25%
• Polynomials 24%
• Geometry 19%