KenseiIntroduction to Runge-Kutta Methods for Numerically Solving Differential EquationsA derivation for the second order Runge-Kutta method and comparison with Euler’s methodAug 8Aug 8
KenseiVisually Simulating the Three-Body Problem on PythonUsing Newton’s universal law of gravitation, ordinary differential equation solving algorithms, and plotting on VPythonJun 242Jun 242
KenseiFeynman’s Trick for Integration: Using Differentiation Under the Integral Sign to Solve IntegralsWith a demonstration by integrating sinx/xJun 132Jun 132
KenseiNumerically Solving Transcendental Equations Using the Newton-Raphson MethodWith an implementation on PythonJun 6Jun 6
KenseiinStackademicIntegrating with Randomness: An Introduction to Monte Carlo IntegrationWith implementations on PythonMar 111Mar 111
KenseiSolving Common Variations of the Gaussian IntegralUsing techniques such as differentiation under the integral sign and completing the squareMar 31Mar 31
KenseiinStackademicDeriving and Analyzing the Energy Eigenstates for a Particle in a Finite Potential WellIncluding a clever graphical solution and plotting allowed eigenstates using PythonFeb 19Feb 19
KenseiWhy a Vector is NOT Something With Magnitude and DirectionA Basic Introduction to Linear Algebra and Vector SpacesFeb 116Feb 116
KenseiinTechnological SingularityHamiltonian Mechanics: Another Alternative to the Traditional Newtonian FormulationExploring beyond Newtonian and Lagrangian mechanicsFeb 7Feb 7
KenseiProving the Squeeze Theorem using the Epsilon Delta Definition for the LimitOut of the many techniques there are for solving limits, the squeeze theorem is a fairly famous theorem that has the ability to evaluate…Jan 221Jan 221