Powered by
Completion
CERTIFICATE
Numerical Methods: Practical Intro with Python
Master numerical methods for solving partial differential equations using Python in this comprehensive course.
Course Cost
₹ 2,699
Intermediate
Skill Level
30 Hours
Self-paced lessons
Dive into the world of numerical methods for solving partial differential equations with this comprehensive course. Using Python and Jupyter notebooks, you'll learn to implement various techniques including finite-difference, pseudospectral, and linear/spectral finite-element methods. The course focuses on practical applications, particularly in solving the 1D and 2D scalar wave equations. You'll gain hands-on experience in developing computational algorithms, visualizing results, and understanding the fundamental mathematical principles behind these methods. The course covers essential topics such as Taylor series, Fourier series, function interpolation, and numerical integration, while also introducing concepts in wave physics, discretization, and parallel programming.
25,085 Enrolled
English
What you'll learn
Understand and implement the finite-difference method for solving partial differential equations
Master the pseudospectral method and its application to wave equations
Learn the principles and implementation of the linear finite-element method
Develop skills in spectral element methods for improved accuracy
Gain practical experience in Python programming for numerical simulations
Understand the mathematical foundations of numerical methods, including Taylor series and Fourier analysis
Learn strategies for validating numerical solutions and ensuring computational accuracy
Explore concepts in parallel computing and their relevance to numerical simulations
Skills you'll gain
This course includes:
5 Hours PreRecorded video
9 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
Shareable certificate
Closed caption
Get a Completion Certificate
Share your certificate with prospective employers and your professional network on LinkedIn.
CREATED BY
PROVIDED BY
Get a Completion Certificate
Share your certificate with prospective employers and your professional network on LinkedIn.
CREATED BY
PROVIDED BY
Top companies offer this course to their employees
Top companies provide this course to enhance their employees' skills, ensuring they excel in handling complex projects and drive organizational success.
There are 9 modules in this course
This course provides a comprehensive introduction to numerical methods for solving partial differential equations, with a focus on practical implementation using Python. It covers a range of techniques including finite-difference, pseudospectral, and finite-element methods, applied primarily to the acoustic and elastic wave equations. The course is structured to build understanding progressively, starting with basic concepts of discretization and wave physics, then moving through various numerical methods. Each topic is accompanied by Python implementations in Jupyter notebooks, allowing students to see the direct connection between mathematical theory and computational practice. The course also covers important practical aspects such as stability analysis, boundary conditions, and strategies for ensuring solution accuracy.
Week 01 - Discrete World, Wave Physics, Computers
Module 1 · 2 Hours to complete
Week 02 The Finite-Difference Method - Taylor Operators
Module 2 · 4 Hours to complete
Week 03 The Finite-Difference Method - 1D Wave Equation - von Neumann Analysis
Module 3 · 2 Hours to complete
Week 04 The Finite-Difference Method in 2D - Numerical Anisotropy, Heterogeneous Media
Module 4 · 7 Hours to complete
Week 05 The Pseudospectral Method, Function Interpolation
Module 5 · 5 Hours to complete
Week 06 The Linear Finite-Element Method - Static Elasticity
Module 6 · 2 Hours to complete
Week 07 The Linear Finite-Element Method - Dynamic Elasticity
Module 7 · 2 Hours to complete
Week 08 The Spectral-Element Method - Lagrange Interpolation, Numerical Integration
Module 8 · 3 Hours to complete
Week 09 The Spectral Element Method - 1D Elastic Wave Equation, Convergence Test
Module 9 · 3 Hours to complete
Fee Structure
Payment options
Financial Aid
Reviews
Testimonials and success stories are a testament to the quality of this program and its impact on your career and learning journey. Be the first to help others make an informed decision by sharing your review of the course.
Faculties
These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.
4.9
128
Reviews
25,040
Students
1
Course
Frequently asked Questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.