Numerical Integration

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Computational Neuroscience: Biophysics & Modeling

Covers the fundamentals of computational neuroscience, focusing on biophysics and modeling.

Stability of a Planet's Orbit

Covers the examination of the stability of a planet's orbit using Runge-Kutta numerical integration.

Explicit Stabilised Methods: Stochastic Differential Equations

Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.

Low Discrepancy Sequences

Explores low discrepancy sequences and their significance in stochastic simulation and numerical methods.

Nonlinear Geometric Transformation: Analysis and Approximations

Explores nonlinear geometric transformations in structural engineering, emphasizing accurate integration methods and practical applications.

Modeling Hydraulic Components: Electrical Analogy and Wave Speed Adaptation

Explores modeling hydraulic components through an electrical analogy and wave speed adaptation for uniform discretization.

Interpolatory Quadrature Formulas

Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.

Numerical Integration: Romberg Integration

Explores Romberg integration to improve numerical integration accuracy through iterative refinement of estimates.

Numerical Integration: Composite Formulas

Explores numerical integration through composite formulas, accuracy estimation, and error evaluation in integration methods.

Numerical Differentiation and Integration

Covers numerical differentiation and integration techniques using examples and quadrature formulas.