This analog computer on a chip is useful for certain kinds of operations that CPUs are historically not efficient at, including solving differential equations. Other applications include matrix ...

The adaptable technological solution has the potential to revolutionize engineering designs. A breakthrough in artificial ...

Mathematicians at the Okinawa Institute of Science and Technology (OIST) are developing a new approach to detect cancer early ...

The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the ...

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

When integrating simple expressions, the constant of integration, the \(+ c\) term, may remain an unknown. The value of \(c\) can be worked out when additional information is given in the question, .

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...

More information: Leticia Mattos Da Silva et al, A Framework for Solving Parabolic Partial Differential Equations on Discrete ...

An analog calculator built in the 1930s by Vannevar Bush at MIT. Designed to solve differential equations, the Differential Analyzer was used in World War II to calculate ballistics tables that ...

This can solve differential equations and evaluate definite integrals. Applying differential calculus Optimization is used to find the greatest/least value(s) a function can take. This can involve ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...