A High-Order Meshless Linearly Implicit Energy-Preserving Method for Nonlinear Wave Equations on Riemannian Manifolds

Keyphrases

• Energy Conservation 100%
• High-order 100%
• Meshless 100%
• Riemannian Manifold 100%
• Nonlinear Wave Equation 100%
• Linearly Implicit 100%
• Numerical Experiments 33%
• Order of Convergence 33%
• Kernel-based 33%
• Computation Time 33%
• High-order Convergence 33%
• Nonlinear Term 33%
• Spatial Discretization 33%
• Finite-dimensional Space 33%
• Quadratic Forms 33%
• Conservation Properties 33%
• Scalar Auxiliary Variable Approach 33%
• Positive Definite Functions 33%
• Galerkin Approximation 33%
• Energy-preserving Property 33%
• Order Preserving Property 33%
• Lagrange Basis Functions 33%
• Linearly Implicit Scheme 33%

Mathematics

• Convergence Order 100%
• Wave Equation 100%
• Riemannian Manifolds 100%
• Non-Linear Wave 100%
• Numerical Experiment 50%
• Basis Function 50%
• Positive Definite 50%
• Quadratic Form 50%
• Nonlinear Term 50%
• Preserving Property 50%
• Spatial Discretization 50%
• Finite-Dimensional Space 50%
• Scalar Auxiliary Variable Approach 50%