数学和优化
开发、求解和可视化数学模型
您可以使用多款 MATLAB® 产品来帮助您创建和分析数学模型。这些产品提供了多种建模方法,包括核心和专用数学工具、数值和符号计算,以及交互式和编程功能。
适用产品: 数学和优化
主题
优化
- 使用优化实时编辑器任务或求解器的有约束非线性问题 (Optimization Toolbox)
使用可视化方法或基于文本的方法最小化具有非线性约束的非线性函数。 - 使用优化变量的约束静电非线性优化 (Optimization Toolbox)
定义基于问题的方法中结构化非线性优化的目标和约束函数。 - 使用优化变量拟合 ODE 参数 (Optimization Toolbox)
使用基于问题的最小二乘拟合 ODE 参数。
全局优化
- 六种求解器的比较 (Global Optimization Toolbox)
探索全局求解器的一些特性。 - 解决具有整数和非线性约束的非线性问题 (Global Optimization Toolbox)
比较具有和不具有整数约束的非线性问题的解。 - 并行优化 ODE (Global Optimization Toolbox)
仅调用一次昂贵的子程序并使用patternsearch或ga并行计算 ODE 解,从而节省时间。
符号数学
- Create Symbolic Numbers, Variables, and Expressions (Symbolic Math Toolbox)
Use symbolic values and variables to perform analytical calculations. - Differentiation (Symbolic Math Toolbox)
Differentiate symbolic expressions and functions. - Integration (Symbolic Math Toolbox)
Integrate symbolic expressions and functions.
地图构建
- Choose a 2-D Map Display (Mapping Toolbox)
Choose a 2-D map display based on criteria such as the map projection, the type of data, and interactivity options. - Supported Geospatial File Formats for Import and Export (Mapping Toolbox)
File formats that Mapping Toolbox™ can read and write, and recommended functions. - Comparison of 3-D Coordinate Systems (Mapping Toolbox)
Learn how to choose a coordinate transformation function based on your data.
偏微分方程
- Deflection Analysis of Bracket (Partial Differential Equation Toolbox)
Analyze a bracket under an applied load and determine the maximal deflection by using the unified workflow. - Heat Transfer in Block with Cavity (Partial Differential Equation Toolbox)
Find the heat distribution in a block with a cavity by using the unified workflow. - Electrostatic Potential in Air-Filled Frame (Partial Differential Equation Toolbox)
Find the electrostatic potential in an air-filled annular quadrilateral frame by using the unified workflow.




