On the solution of hyperbolic equations using the peridynamic differential operator

Mathematics

• Hyperbolic Equations 76%
• Weight Function 70%
• Differential operator 63%
• Advection Equation 51%
• Nonlocality 51%
• Upwind Scheme 48%
• Hyperbolic Partial Differential Equations 45%
• Horizon 40%
• Discretization 28%
• Linear Hyperbolic Equation 27%
• Numerical Solution 26%
• Eikonal Equation 26%
• Nonlinear Hyperbolic Equation 25%
• Differential equation 25%
• Numerical Stability 21%
• Nonlinear Partial Differential Equations 18%
• Internal 15%
• Linear equation 15%
• Interaction 13%
• Derivative 11%
• Invariant 10%
• Form 7%

Physics & Astronomy

• differential operators 100%
• hyperbolic differential equations 91%
• advection 44%
• horizon 38%
• partial differential equations 37%
• eikonal equation 28%
• numerical stability 25%
• travel 19%
• differential equations 15%
• interactions 7%

Engineering & Materials Science

• Mathematical operators 70%
• Advection 49%
• Partial differential equations 38%
• Differential equations 34%
• Convergence of numerical methods 23%
• Derivatives 15%