A class of midpoint formulas for numerical integration and its error analysis
Dequan Shang
Abstract
Dequan Shang
Abstract
A corrected midpoint formula is given for numerical integration,and a class of composite numerical integration methods based on midpoint formula and corrected midpoint formula are established.The expression of reminder term for each method and convergence property are investigated.Concrete examples show that the proposed methods are obviously superior to the original methods on algebraic accuracy.
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A corrected midpoint formula is given for numerical integration,and a class of composite numerical integration methods based on midpoint formula and corrected midpoint formula are established.The expression of reminder term for each method and convergence property are investigated.Concrete examples show that the proposed methods are obviously superior to the original methods on algebraic accuracy.
Key concepts: Midpoint, Midpoint method, Numerical integration, Convergence (economics), Mathematics, Class (philosophy), Property (philosophy), Numerical analysis