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Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

Advances in Applied Mathematics and Mechanics 2019年第6期11卷 1358-1375页

作者： Alexander lapin Shuhua Zhang sergey lapin Na Yan Institute of Computational Mathematics and Information Technologies Kazan Federal UniversityKazan 420008Russia Coordinated Innovation Center for Computable Modeling in Management Science Tianjin University of Finance and EconomicsTianjin 300222China Department of Mathematics and Statistics Washington State UniversityPullmanWA 99163USA Business School Nankai UniversityTianjin 300071China

We consider an optimal control problem which serves as a mathematical model for several problems in economics and *** problem is the minimization of a continuous constrained functional governed by a linear parabolic diffusion-advection equation controlled in a coefficient in advection *** additional constraint is non-negativity of a solution of state *** construct and analyze several mesh schemes approximating the formulated problem using finite difference methods in space and in *** these approximations keep the positivity of the solutions to mesh state problem,either unconditionally or under some additional constraints to mesh *** allows us to remove corresponding constraint from the formulation of the discrete problem to simplify its *** on theoretical estimates and numerical results,we draw conclusions about the quality of the proposed mesh schemes.

关键词： Mean field game optimal control problem parabolic diffusion-advection equation finite difference methods

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Peroral endoscopic myotomy in a pregnant woman diagnosed with mitochondrial disease:A case report

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World Journal of Gastrointestinal Endoscopy 2021年第5期13卷 155-160页

作者： Alexander A Smirnov Maya M Kiriltseva Mariya E Lyubchenko Vladimir D Nazarov Anna V Botina Aleksandr N Burakov sergey V lapin Department of Endoscopy Pavlov First Saint Petersburg State Medical UniversitySaint Petersburg 197022Russia Center for Molecular Medicine Pavlov First Saint Petersburg State Medical UniversitySaint Petersburg 197022Russia Department of Pathology Pavlov First Saint Petersburg State Medical UniversitySaint Petersburg 197022Russia

BACKGROUND Achalasia is a primary esophageal motility disease characterized by impairment of normal esophageal peristalsis and absence of relaxation of the lower esophageal *** is can be a part of some genetic *** of the causes of gastrointestinal motility disorders,including achalasia,is mitochondrial *** SUMMARY We report about a pregnant woman with a history of symptoms associated with inherited mitochondrial disease,which was confirmed by genetic tests,and who was treated via peroral endoscopic *** Peroral endoscopic myotomy is possible treatment option for a pregnant woman with achalasia caused by mitochondrial disease.

关键词： Mitochondrial disease Pregnancy Esophagus Peroral endoscopic myotomy Achalasia Biopsy Case report

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