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Round-off error
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Related lectures (30)
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Floating Point Numbers: LU Decomposition and Errors
Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.
Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
Digital Systems: Fixed-Point and Floating-Point Arithmetic
Provides an overview of fixed-point and floating-point arithmetic in digital systems.
Effect of Rounding Errors in Linear Systems
Explores the effect of rounding errors in solving linear systems using the LU factorization method.
Truncation Error in Digital Derivation
Explores the concept of truncation error in digital derivation and the classification of different error orders.
Floating Point Numbers: Representation and Errors
Introduces floating point number representation, round-off errors, and their impact on numerical computations.
Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Floating Point Representation in Computers
Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.
Computer Arithmetic: Floating Point Numbers
Explores computer arithmetic, emphasizing fixed-point and floating-point numbers, IEEE 754 standard, dynamic range, and floating-point operations in MIPS architecture.
Numerical Derivatives of Order 1, Rounding Errors
Discusses numerical derivatives of order 1 and the effects of rounding errors on calculations.
