A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

Abstract: We present a comprehensive tutorial on the finite-difference time-domain (FDTD) modeling of space, time, and space-time-varying media, building upon our previous review by offering a ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Fruchter, G. (2026) Opportunism in Supply Chain Recommendations: A Dynamic Optimization Approach. Modern Economy, 17, 26-38.

Abstract: In geophysics, full waveform inversion rely on an efficient forward modeling method. However, a direct solver is computationally expensive and requires significant in-core memory.

There is a crucial task every physics student must complete before they take the SACE written examination next week, explains an expert tutor. Unlike the mathematics exams, physics students will not ...

Sometimes, the most unsettling thing about people isn’t what they say — it’s what they know. There’s a fine line between brilliance and something a little… darker. Every once in a while, you witness a ...

Photonic Finite-Difference Frequency-Domain (FDFD) Toolbox is a MATLAB Community Toolbox project, aiming to provide intuitive framework for photonic devices simulation using MATLAB. Note: The toolbox ...