Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation

Mathematics

• Initial-Value Problem 100%
• Ordinary Differential Equation 50%
• Runge-Kutta Method 50%
• Time Step 37%
• Number 37%
• Predictor 37%
• Derivatives 37%
• Order 25%
• Modeling 25%
• Factorization 25%
• Class 12%
• Bounds 12%
• Dynamical System 12%
• Minimizes 12%
• End Point 12%
• Algebraic Differential Equations 12%
• Step Size 12%
• Asymptotic Behavior 12%

Engineering

• Stages 100%
• Error 50%
• Implicit Runge 50%
• Fits and Tolerances 37%
• Jacobian matrix 37%
• Models 12%
• Codes 12%
• Library 12%
• Endpoint 12%
• Turning 12%
• Compute 12%
• Rate of Convergence 12%
• Algebraic Equation 12%
• Step Size α 12%

Computer Science

• Initial Value Problems 100%
• Solving Equation 11%