Physics-Informed Neural Networks with Unknown Partial Differential Equations: An Application in Multivariate Time Series. [PDF]
Entropy (Basel)Mortezanejad SAF +2 more
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Optimal Control Applications and Methods, Volume 47, Issue 2, Page 498-510, March/April 2026.Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
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Analytical solutions of the time-fractional symmetric regularized long wave equation using the [Formula: see text] model expansion method. [PDF]
Sci RepAldwoah K +5 more
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Optimal Control Applications and Methods, Volume 47, Issue 2, Page 570-588, March/April 2026.Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
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Analytical solutions and chaotic dynamics of the extended KP-Boussinesq model via phase diagnostics. [PDF]
Sci RepŞenol M +4 more
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Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
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Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. [PDF]
Sci RepBaber MZ +6 more
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Physics‐Based Machine Learning for Modeling Cyclic Damage Evolution
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Accurate modeling of cyclic damage evolution is essential for predicting the long‐term performance and durability of engineering materials and structures. Traditional simulation‐based approaches, while physically rigorous, are computationally expensive, especially under complex loading histories.
Elsayed S. Elsayed +2 more
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Learning image derived PDE-phenotypes from fMRI data. [PDF]
Brain InformBica I +5 more
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Controlling the Collective Transport of Large Passive Particles With Suspensions of Microorganisms
Small, Volume 22, Issue 18, 25 March 2026.Directional light stimuli induce the accumulation of microalgae in suspensions of Chlamydomonas reinhardtii. This accumulation triggers large scale bioconvection rolls capable of macroscale transport. Exploiting these bioconvective flows enables to collectively transport of hundreds of large passive particles, paving the way for future applications in ...
Taha Laroussi +4 more
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