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Lecture
Numerical Analysis: Course Overview
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Related lectures (26)
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Numerical Analysis: Algorithms and Concepts
Covers algorithms for mathematical problems, focusing on stability, precision, and critical result analysis.
Floating Point Numbers: Representation and Errors
Introduces floating point number representation, round-off errors, and their impact on numerical computations.
Introduction to Numerical Analysis
Covers the basics of Numerical Analysis, emphasizing the importance of numerical methods in solving mathematical problems with computers.
Forced Convection Correlations
Explores forced external convection correlations and the procedure for solving convection problems, including the comparison of velocity and thermal boundary layers.
Numerical Methods in Matlab
Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.
Floating Point Numbers: Representation and Errors
Explores floating point numbers, their representation, precision, and associated errors.
Numerical Methods for Boundary Value Problems
Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.
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: LU Decomposition and Errors
Explores floating point numbers, LU decomposition, errors, and matrix properties.
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.