Chapra Steven C. Applied Numerical Methods with MatLAB for Engineers and Scientists

5th edition. — McGraw-Hill, 2023. — 758 p. — ISBN 978-1-265-14822-5.Applied Numerical Methods with MatLAB is designed to support a one-semester course in numerical methods. It has been written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so students come away with insight into the techniques and their shortcomings.Modeling, Computers, and Error Analysis
Mathematical Modeling, Numerical Methods, and Problem Solving
MatLAB Fundamentals
Programming with MatLAB
Roundoff and Truncation Errors
Roots and Optimization
Roots: Bracketing Methods
Roots: Open Methods
Optimization
Linear Systems
Linear Algebraic Equations and Matrices
Gauss Elimination
LU Factorization
Matrix Inverse and Condition
Iterative Methods
Eigenvalues
Curve Fitting
Linear Regression
General Linear Least-Squares and Nonlinear Regression
Fourier Analysis
Polynomial Interpolation
Splines and Piecewise Interpolation
Integration and Differentiation
Numerical Integration Formulas
Numerical Integration of Functions
Numerical Differentiation
Ordinary Differential Equations
Initial-Value Problems
Adaptive Methods and Stiff Systems
Boundary-Value Problems