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 ...

Find out why the most popular mathematical subjects in engineering in 2026 are calculus and linear algebra. Discover how ...

Abstract: An accurate magnetic force model is crucial for the high-precision control of magnetic levitation systems. Soft magnetic materials, renowned for their excellent magnetic properties, are ...

Abstract: We develop a numerical solution algorithm of the nonlinear potential flow equations with the nonlinear free surface boundary condition. A finite difference method with a predictor-corrector ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

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MATLAB Programming for Finite Element Methods. Contribute to ranziying/mFEM-v1.1 development by creating an account on GitHub.