In many real-world and complex engineering problems, functions are often represented by discrete data pointsData point (like values recorded by a sensor) or are too complicated to integrate or differentiate analytically (using standard calculus formulas). This chapter introduces Numeric DifferentiationNumeric differentiation and Numeric IntegrationNumeric integration, powerful techniques that allow us to approximate derivatives and definite integralsDefinite integrals using only numerical methods.

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Numeric Differentiation and Integration

  • Farzin Asadi

摘要

In many real-world and complex engineering problems, functions are often represented by discrete data pointsData point (like values recorded by a sensor) or are too complicated to integrate or differentiate analytically (using standard calculus formulas). This chapter introduces Numeric DifferentiationNumeric differentiation and Numeric IntegrationNumeric integration, powerful techniques that allow us to approximate derivatives and definite integralsDefinite integrals using only numerical methods.