Numerical Analysis Repository

Welcome to the Numerical Analysis project repository! This repository contains various C programming projects, algorithms, and exercises related to numerical methods aimed at improving your understanding of numerical analysis techniques and their application.

📋 Contents

• Introduction
• Installation
• Usage
• Contributing
• Challenges Faced
• Lessons Learned
• Resources
• License
• Contact

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📖 Introduction

This repository is dedicated to projects, algorithms, and exercises in numerical analysis, implemented using C programming language. It covers key numerical methods such as interpolation, differentiation, integration, and solving equations. The repository is structured to facilitate learning by providing C code examples and problem-solving approaches for each topic.

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🛠️ Installation

To set up the repository locally, follow these steps:

1. Clone the repository:

   git clone https://github.com/Md-Emon-Hasan/Numerical-Analysis.git

2. Navigate to the project directory:

   cd Numerical-Analysis

3. Ensure you have a C compiler installed (such as GCC).

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🚀 Usage

To compile and run a program from this repository, follow these steps:

1. Navigate to the directory containing the C program you wish to run.

2. Compile the program using a C compiler. For example, to compile interpolation.c, run:

   gcc interpolation.c -o interpolation

3. Run the compiled program:

   ./interpolation

4. Follow any prompts or input instructions in the terminal for program execution.

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🤝 Contributing

Contributions to the Numerical Analysis repository are welcome! Here’s how you can contribute:

1. Fork the repository.

2. Create a new branch:

   git checkout -b feature/improve-algorithm

3. Make your changes:

   • Add new numerical methods, optimize existing ones, or update documentation.

4. Commit your changes:

   git commit -am 'Improve algorithm performance or add new method'

5. Push to the branch:

   git push origin feature/improve-algorithm

6. Submit a pull request.

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🛠️ Challenges Faced

During the development of this project, the following challenges were encountered:

• Handling the precision limitations of floating-point numbers in C.
• Optimizing code to reduce time complexity, especially for large data sets.
• Debugging segmentation faults and memory leaks, common in C programming.

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📚 Lessons Learned

Key lessons from working on this repository include:

• A deeper understanding of the trade-offs between precision and efficiency in numerical methods.
• Improved skills in memory management and debugging in C.
• The importance of testing numerical methods with edge cases to ensure reliability.

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📚 Resources

Here are some useful resources for furthering your understanding of numerical analysis in C:

• Books:
  • Numerical Methods in C by Robert J. Schilling
  • Numerical Recipes in C by William H. Press et al.
• Online Courses:
  • Numerical Methods in C by Stanford

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📄 License

This project is licensed under the GNU General Public License v3.0. See the LICENSE file for more details.

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📬 Contact

For any inquiries or feedback regarding the project, feel free to reach out!

• Email: [email protected]
• WhatsApp: +8801834363533
• GitHub: Md-Emon-Hasan
• LinkedIn: Md Emon Hasan
• Facebook: Md Emon Hasan

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This version is now tailored for the C programming language and numerical analysis techniques! Let me know if further modifications are needed.