Numerical Computation

A Comprehensive Guide to SIMD Acceleration of Numeric Types in C# (2024)

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A Comprehensive Guide to SIMD Acceleration of Numeric Types in C# (2024)

In modern application development, performance optimization is a core requirement in many scenarios, especially when dealing with large-scale numerical computations. Single Instruction, Multiple Data (SIMD) technology significantly enhances computational efficiency by processing multiple data points in parallel. This article will delve into the fundamental concepts, core types, usage methods, performance benchmarks, and best practices of … Read more

Optimization in Python (1): The Advance-and-Retreat Method

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Optimization in Python (1): The Advance-and-Retreat Method

💡 Introduction to Optimization: Tackling Unconstrained One-Dimensional Extremum Problems! Hello everyone! Welcome to our optimization knowledge classroom! 🚀 In the vast realm of numerical computation and engineering design, “optimization” is a ubiquitous core topic. Whether it’s about making rockets fly higher, algorithms run faster, or maximizing investment returns, there often lies an optimization problem. Today, … Read more

Simulating Third Harmonic Generation with MATLAB

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Simulating Third Harmonic Generation with MATLAB

Recently, I have been exploring the advanced features of MATLAB. In addition to common functionalities such as matrix operations and plotting functions/data graphs, MATLAB can also be used to create user interfaces and call programs written in other languages (including C, C++, Java, Python, FORTRAN). Numerical computation capabilities: The paper-like mathematical operations and high-quality, reliable … Read more

Comparison of Four Major Mathematical Software: MATLAB, MathCAD, Maple, and Mathematica

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Comparison of Four Major Mathematical Software: MATLAB, MathCAD, Maple, and Mathematica

There are four major mathematical software programs that are well-known and popular in the fields of science and engineering: MATLAB, MathCAD, Maple, and Mathematica. Each has its own characteristics depending on different fields or target directions. MATLAB System MATLAB originally stands for Matrix Laboratory. It was developed in the 1970s to provide an interface for … Read more

Complete MATLAB Tutorial for Beginners

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Complete MATLAB Tutorial for Beginners

WeChat Official Account: Math Sentiment Click above to select Star or Top, and receive valuable content every day.! This layout uses md2All, a markdown formatting tool that can display the current preview correctly on platforms such as WeChat Official Accounts, Blog Garden, Juejin, CSDN, etc. Introduction With less than a month until the Mathematical Contest … Read more

Introduction to MATLAB: Basic Knowledge

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Introduction to MATLAB: Basic Knowledge

1. Understanding MATLAB 1. Overview of MATLAB (1) In universities in Europe and America, MATLAB has become a fundamental teaching tool for courses such as linear algebra, automatic control theory, digital signal processing, time series analysis, dynamic system simulation, and image processing. It has become a basic skill that undergraduate, master’s, and doctoral students must … Read more

The History of FORTRAN Programming Language

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The History of FORTRAN Programming Language

Programming Language – History FORTRAN Past Events Fortran is an abbreviation of “Formula Translation”. It is the world’s first high-level programming language for computers, widely used in scientific and engineering computations. FORTRAN plays an important role in numerical, scientific, and engineering computations due to its unique features. (Versions prior to Fortran 90 are known as … Read more