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Solving nonlinear and complex optimal control problems via multi-task artificial neural networks. [PDF]

Sci Rep
Kerdabadi AE, Malek A.
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Inverse-designed metasurfaces for wavefront restoration in under-display camera systems. [PDF]

Nanophotonics
Jo J, Lee M, Lee S, Bae M, Kang C, Chung H.   +5 more
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Adjoint propagation of error signal through modular recurrent neural networks for biologically plausible learning. [PDF]

Elife
Liu Z, Shu H, Wang L, Meng X, Wang Y, Li X, Wang W, Chen T.   +7 more
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Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications

Numerical Mathematics: Theory, Methods and Applications, 2022
Symmetric and symplectic methods are classical notions in the theory of numerical methods for solving ordinary differential equations. They can generate numerical flows that respectively preserve the symmetry and symplecticity of the continuous flows in the phase space.
Sun, Geng, Gan, Siqing, Liu, Hongyu, Shang, Zaijiu   +3 more
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Adjoint and Selfadjoint Lie-group Methods

BIT Numerical Mathematics, 2001
This paper discusses the notion of selfadjoint numerical methods defined in terms of classical selfadjoint Runge-Kutta methods. Selfadjoint Lie group numerical methods are constructed that obey time symmetry for nonlinear problems.
Zanna, Antonella, Engø, Kenth, Munthe-Kaas, Hans Z.   +2 more
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The Nonlinear Adjoint Method

2016
The nonlinear adjoint method was introduced by L.C. Evans as a tool to study Hamilton–Jacobi equations.
Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan   +2 more
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On the local convergence of adjoint Broyden methods

Mathematical Programming, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sebastian Schlenkrich, Andreas Griewank, Andrea Walther   +2 more
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Leading-edge receptivity by adjoint methods

Journal of Fluid Mechanics, 2006
The properties of adjoint operators and the method of composite expansion are used to study the generation of Tollmien–Schlichting (TS) waves in the leading-edge region of an incompressible, flat-plate boundary layer. Following the classical asymptotic approach, the flow field is divided into an initial receptivity region, where the unsteady motion is ...
LUCHINI, Paolo, GIANNETTI, FLAVIO
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