Lectures related to Rounding | EPFL Graph Search

Digital Systems: Fixed-Point and Floating-Point Arithmetic

Provides an overview of fixed-point and floating-point arithmetic in digital systems.

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.

Floating Point Representation: Consequences for Programming

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Effect of Rounding Errors in Linear Systems

Explores the effect of rounding errors in solving linear systems using the LU factorization method.

Nonlinear Equations: Representation of Real Numbers

Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.

Floating Point Numbers: Representation and Errors

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Issues with STL; DFAM

Discusses known problems with .STL format, control parameters, issues with high aspect ratio parts, multimaterial parts, and introduces Design for Additive Manufacturing (DFAM) principles.

Numerical Derivatives of Order 1, Rounding Errors

Discusses numerical derivatives of order 1 and the effects of rounding errors on calculations.

Digital Systems: Fixed and Floating Point Arithmetic

Discusses fixed-point and floating-point arithmetic in digital systems, covering operations, representations, and the implications of rounding errors.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Information Representation: Computation Module

Explores the representation of information, rounding errors, and image encoding.

Number Systems: Fixed and Floating-Point Representations

Provides an overview of fixed-point and floating-point number representations in digital systems.

Numerical Derivatives: Finite Central Differences (2)

Explores the accuracy of central finite difference formulas for derivatives.

Numerical Differentiation: Methods and Errors

Explores numerical differentiation methods and round-off errors in computer computations.

Digital Systems: Fixed and Floating Point Arithmetic

Discusses fixed and floating-point arithmetic in digital systems, covering representations, operations, and rounding techniques.

Number Systems: Fixed and Floating-Point Representations

Discusses fixed-point and floating-point representations in digital systems, covering key concepts like precision, accuracy, and the IEEE 754 standard.

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.

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Floating Point Numbers: Representation and Errors

Explores floating point numbers, their representation, precision, and associated errors.

Polynomial Interpolation: Lagrange Method

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.