Numerical Methods for Ordinary Differential Equations
J.C. Butcher
Numerical Methods for Ordinary Differential Equations - A book resource
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ocw.mit.edu
MIT OpenCourseWare is a free, searchable collection of MIT course materials—lecture notes, assignments, exams, and sometimes videos—for thousands of courses. It covers topics across math and engineering, including numerical methods, with example problem sets and, where available, solution guides.
mathworld.wolfram.com
MathWorld is Wolfram's extensive online math encyclopedia featuring detailed articles on concepts, formulas, theorems, and visual explanations. It spans topics from algebra and calculus to numerical methods and beyond, offering explanations, examples, and cross-references for learning.
Numerical Methods for Engineers
This course covers the most important numerical methods that an engineer should know, including root finding, matrix algebra, integration and interpolation, ordinary and partial differential equations. We learn how to use MATLAB to solve numerical problems, and access to MATLAB online and the MATLAB grader is given to all students who enroll. We assume students are already familiar with the basics of matrix algebra, differential equations, and vector calculus. They should have a working knowledge of a programming language, and be willing to learn MATLAB. The course contains 74 short lecture videos and MATLAB demonstrations. After each lecture or demonstration, there are problems to solve or programs to write. The course is organized into six weeks, and at the end of each week, there is an assessed quiz and a longer programming project. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/numerical-methods-for-engineers.pdf And watch the promotional video from the link https://youtu.be/qFJGMBDfFMY
Numerical Analysis
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Numerical Solution of Differential Equations
Numerical Solution of Differential Equations - A book resource