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Tag: Numerical Methods

fibonacci method

Fibonacci Method: From the Main Idea to a Practical Example

23/03/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The Fibonacci method is one of the classical numerical methods used to find the minimum of a function of one

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golden section method

Golden Section Method: Minimizing a Function of One Variable

16/03/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The golden section method is used to minimize a function of one variable on a given interval. In other words,

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determinant of a matrix

Determinant of a Matrix: Properties and Formulas for Practice

22/11/2025 Rostyslav Vereshchak Fundamentals of Matrix Algebra

The determinant of a matrix is a fundamental concept in linear algebra that every student in technical or mathematical fields

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combined secant-newton method

Combined Secant-Newton Method: Tangent Speed and Chord Reliability

09/11/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

The combined secant-Newton method blends two strengths of numerical root-finding: it keeps the solution inside a trusted interval and it

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method of successive approximations

Method of Successive Approximations: A Simple Way to Solve Hard Equations

02/11/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

Method of successive approximations is a convenient tool for finding roots of nonlinear equations when an exact analytical solution is

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bisection method

Bisection Method: A Simple Approach Without Unnecessary Complications

26/10/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

The bisection method is a reliable way to find the root of an equation when an analytical solution is either

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secant method

Secant Method: Step by Step — Formulas, Explanation, and a Practical Example

19/10/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

The secant method is a reliable way to approximate the root of an equation without using complicated derivatives, like in

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newton's method

Newton’s Method: A Fast Way to Find the Roots of Nonlinear Equations

12/10/2025 Rostyslav Vereshchak Numerical Methods for Solving Single-Variable Equations

Newton’s method is one of the most well-known numerical approaches to solving nonlinear equations. Why is it so important? Because

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milne's method

Milne’s Method: A Simple Explanation and Step-by-Step Example

17/08/2025 Rostyslav Vereshchak Solving Ordinary Differential Equations

Milne’s method is a powerful technique for anyone aiming to confidently solve differential equations. If you are familiar with numerical

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adams method

Adams Method Explained Simply: What It Is and How It Works

25/05/2025 Rostyslav Vereshchak Solving Ordinary Differential Equations

The Adams method is one of the most efficient numerical methods for solving ordinary differential equations. It is widely used

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Function Approximation Methods
  • Fundamentals of Matrix Algebra
  • Numerical Integration and Differentiation
  • Numerical Methods for Solving Single-Variable Equations
  • Solving Ordinary Differential Equations
  • Solving Systems of Linear Equations

Geometry

  • Area and Perimeter
  • Circle
  • Polygons
  • Solid Geometric Shapes
  • Surface Area and Volume of Geometric Shapes
  • Triangles

Mathematics

  • Derivative and Differential
  • Fractions
  • Function Research
  • Integral Calculus
  • Logarithmic equations
  • Quadratic equations

Python Programming Language

  • Basic Syntax
  • Conditional Statements
  • Introduction to Python
  • Loops

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