Exponential Integrators: Numerical methods that use the matrix exponential to integrate the linear part of a differential equation exactly, thereby mitigating stiffness-related challenges.

Exponential equations are of the form 𝑦 = 𝑎 × 𝑘\(^𝑥 \) where 𝑦 is the new value, 𝑎 is the starting value and 𝑘 is the decimal multiplier that describes the growth or decay.

The weight function is obtained from Equation (25) and the parameters of Equation (39) as (50) and using Equation (26) we get the wavefunction χ n (s) as (51) where and is the Laguerre polynomial.

Closed-form equations that give the value of an arbitrary complex impedance transformed through a length of dissipationless, nonuniform transmission line with exponential cosine-squared, and parabolic ...

Generating Efficient Equations for Dynamic Simulation of Electromechanical Multibody Systems using Maple, Subsystem Models, and Linear Graph Theory. Title: Generating Efficient Equations for Dynamic ...

To provide effective solution of this problem, this study suggests a new graph-based quantum approach. This technique is useful in discretization and representation of logical relationships. Then, we ...

Quantum computers have the potential to speed up computation, help design new medicines, break codes, and discover exotic new ...

On Earth, depending on where you are, the analemma can be at different angles, though it always traces out this ...

A new study proves for the first time that the ‘two-thirds scaling law’ applies to large animals as well as small ones, ...

Density functional theory is a widely used computer-based quantum mechanical method for calculating properties of atoms, ...

The law of supply and demand explains how changes in a product's market price relate to its supply and demand. Demand for basic necessities is less responsive.