An Overview of High-Order Implicit Algorithms for First-/Second-Order Systems and Novel Explicit Algorithm Designs for First-Order System Representations

Mathematics

• Algorithm Design 100%
• First-order System 82%
• Second-order Systems 82%
• Higher Order 52%
• Dissipation 32%
• Differential Quadrature Method 12%
• Isogeometric Analysis 11%
• P-version 11%
• High Order Accuracy 10%
• Design 10%
• Corrector 9%
• Stability Region 9%
• Unconditionally Stable 9%
• Explicit Methods 8%
• Inconsistent 8%
• Time Discretization 8%
• Runge-Kutta Methods 8%
• Legendre 8%
• Computational Cost 8%
• Weighting 8%
• Collocation Method 7%
• Galerkin Method 7%
• Predictors 7%
• Continuous Time 7%
• Discretization 6%
• Methodology 5%
• First-order 5%
• Unknown 5%
• Framework 4%

Engineering & Materials Science

• Runge Kutta methods 8%
• Galerkin methods 8%
• Scanning electron microscopy 5%
• Finite element method 4%
• Costs 2%