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We propose and experimentally demonstrate an on-chip silicon photonic differential-equation solver that can be used to solve second-order constant-coefficient ordinary-differential-equations (ODEs).

We present a variational reconstruction algorithm for the phase-retrieval problem by using the differential interference contrast microscopy. Principally, we rely on the transport-of-intensity ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

SD publishes high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system's point of view.

1906 Topics equation, differential, equations, solution, integral, linear, method, sin, general, arbitrary, differential equations, differential equation, general solution, partial differential, ...

difference equations and differential equations optimal control theory Learning outcome Knowledge You should know linear algebra (linear independence, rank, eigenvalues, quadratic forms) calculus and ...

In this chapter, we consider the following autonomous state equation: for some f : f : ℝn × U1 × U2 → ℝn. We modify (DG1) correspondingly… In this chapter, we concentrate on the case that the state ...

Sculpt a chiseled core with 3 bodyweight moves! Hollow body hold, L-sit, and windshield wipers deliver visible results—no gym needed.