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List of Posts
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Python for Scientists 1-4: Simple Built-in Functions
Functions that accept arguments and do something: built-in about types, and prompting for user’s input.
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Python for Scientists 1-3: Strings and Formatting
Formatting strings and numbers for beautiful printing.
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Python for Scientists 1-2: Basic Arithmetic
How to do simple mathematical calculations, addition (+), subtraction (-), multiplication (*), division (/), and more…
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ODEs 8-5: WKB Method
WKB Approximation for canonical second-order linear ODE, connection formulas for Airy Equation.
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ODEs 8-4: Runge-Kutta (RK4) Method
Runge-Kutta fourth-order method, as an explicit and multi-step scheme.
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ODEs 8-3: Backward Euler Method
Backward Euler method as an implicit numerical scheme.
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ODEs 8-2: Forward Euler Method
Numerical integration by the simple forward Euler method, stiff problems.
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ODEs 8-1: System of First-order Linear ODEs
Solving multiple coupled first-order linear ODEs at the same time, classification of dynamical systems.
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ODEs 7-11 (PDEs): Uniqueness Theorems for Second-order Linear PDEs
Uniqueness theorem for Laplace/Heat/Wave equations, Energy method.
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ODEs 7-10 (PDEs): Wave Equation (Part 2)
Wave equation in polar coordinates: the vibrating circular membrane problem.
Hello,
I’m Benjamin

Welcome to my Mathematical World! Here you can find posts and tutorials related to applied topics like Linear Algebra, Calculus, Differential Equations, and Programming. Feel free to leave comments and suggestions!
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