In this review we collect some recent achievements in the accurate and efficient solution of the Nonlinear Schrödinger Equation (NLSE), with the preservation of its Hamiltonian structure. This is achieved by using the energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs) after a proper space semi-discretization. The main facts about HBVMs, along with their application for solving the given problem, are here recalled and explained in detail. In particular, their use as spectral methods in time, which allows efficiently solving the problems with spectral space–time accuracy.

Luigi Barletti; Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro. Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. Journal of Computational and Applied Mathematics 2024, 445 .

Luigi Barletti, Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro. Recent advances in the numerical solution of the Nonlinear Schrödinger Equation. Journal of Computational and Applied Mathematics. 2024; 445 ():.

Luigi Barletti; Luigi Brugnano; Gianmarco Gurioli; Felice Iavernaro. 2024. "Recent advances in the numerical solution of the Nonlinear Schrödinger Equation." Journal of Computational and Applied Mathematics 445, no. : .

Martino Pepe; Rocco Tritto; Maria Ludovica Naccarati; Simona Quarta; Andrea Marzullo; Marco Matteo Ciccone. Aortic valve fibroelastoma presenting with myocardial infarction with non-obstructive coronary arteries (MINOCA): A case report and review of the literature. Cardiovascular Pathology 2024, 71, 107631 .

Martino Pepe, Rocco Tritto, Maria Ludovica Naccarati, Simona Quarta, Andrea Marzullo, Marco Matteo Ciccone. Aortic valve fibroelastoma presenting with myocardial infarction with non-obstructive coronary arteries (MINOCA): A case report and review of the literature. Cardiovascular Pathology. 2024; 71 ():107631.

Martino Pepe; Rocco Tritto; Maria Ludovica Naccarati; Simona Quarta; Andrea Marzullo; Marco Matteo Ciccone. 2024. "Aortic valve fibroelastoma presenting with myocardial infarction with non-obstructive coronary arteries (MINOCA): A case report and review of the literature." Cardiovascular Pathology 71, no. : 107631.

The recent fast development of the microalgae-related biotechnologies has enabled the availability of sustainable and nutrients-rich raw materials to be used as substitution of conventional sources in aquafeed formulation. However the cost of energy of the photobioreactors used to produce these microorganisms still constrained their wider inclusion into aquafeed compounds. By exploiting industrial waste outputs, Nannochloropsis sp. and Spirulina sp. were produced and utilised to formulate two experimental enrichments (LM1 and LM2). During a 60 days trial, their efficacy have been tested as Artemia metanauplii enrichments in the diet of European seabass (Dicentrarchus labrax) larvae, in comparison to a commercial control. Larvae were fed with isonitrogenous and isolipidic dietary treatments. Each dietary treatment presented a specific profile for the long chain polyunsaturated fatty acids ARA, DHA and EPA. Ratio of DHA/EPA in enriched Artemia of 4:1 as in the case of LM1 and LM2 in the presence of 1.4% of ARA (as a % on total fatty acid) guaranteed equal results to the control which displayed a ratio of DHA/EPA of 2:1 with 2.2% of ARA. No significant effects of the dietary treatments were detected in final survival, growth performance and incidence of skeletal anomalies. Regarding oxidative status, larvae fed with LM2 enrichment presented lower catalase activity than control larvae with no signs of oxidative damage, suggesting a potential antioxidant effect of LM2. The present study contributes to expanding the existing literature on successful utilisation of microalgae and cyanobacteria, used to produce valuable nutrients, in a perspective of circular nutrients economy.

Andrea Bertini; Arianna Marchi; Elisa Benini; Carmen Navarro-Guillén; María J. González; Isabel Medina; Manuel Yúfera; Chrysovalentinos Pousis; Gianluca Ventriglia; Christel Nys; Pier Paolo Gatta; Alessio Bonaldo; Luca Parma. A blend of microalgae and cyanobacteria produced from industrial waste outputs for the enrichments of Artemia salina: Effects on growth performance, antioxidant status and anomalies rate of European seabass (Dicentrarchus labrax) larvae. Aquaculture Reports 2024, 36 .

Andrea Bertini, Arianna Marchi, Elisa Benini, Carmen Navarro-Guillén, María J. González, Isabel Medina, Manuel Yúfera, Chrysovalentinos Pousis, Gianluca Ventriglia, Christel Nys, Pier Paolo Gatta, Alessio Bonaldo, Luca Parma. A blend of microalgae and cyanobacteria produced from industrial waste outputs for the enrichments of Artemia salina: Effects on growth performance, antioxidant status and anomalies rate of European seabass (Dicentrarchus labrax) larvae. Aquaculture Reports. 2024; 36 ():.

Andrea Bertini; Arianna Marchi; Elisa Benini; Carmen Navarro-Guillén; María J. González; Isabel Medina; Manuel Yúfera; Chrysovalentinos Pousis; Gianluca Ventriglia; Christel Nys; Pier Paolo Gatta; Alessio Bonaldo; Luca Parma. 2024. "A blend of microalgae and cyanobacteria produced from industrial waste outputs for the enrichments of Artemia salina: Effects on growth performance, antioxidant status and anomalies rate of European seabass (Dicentrarchus labrax) larvae." Aquaculture Reports 36, no. : .