Shinya UCHIUMI
ORCID
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 Address
 Department of Mathematics, Faculty of Science, Gakushuin University,
151 Mejiro, Toshimaku, Tokyo 1718588, Japan
 Affiliation
 Department of Mathematics, Faculty of Science, Gakushuin University
 Title
 Assistant Professor
 Degree
 Doctor of Science
Research Interests
 Discipline
 applied mathematics, numerical analysis for PDEs
 Equations
 convectiondiffusion equation, NavierStokes equations
 Methods
 finite element method, method of characteristics, LagrangeGalerkin method, pressurestabilized method, projection method
Preprint
 S. Uchiumi.
A pressurestabilized projection LagrangeGalerkin scheme for the
transient Oseen problem.
arXiv:2111.04018 [math.NA]
Refereed Papers
 M. Tabata and S. Uchiumi.
Behavior of LagrangeGalerkin solutions to the NavierStokes problem for small time increment.
Accepted for publication in Numerical Methods for Partial Differential Equations.
 S. Uchiumi.
A ViscosityIndependent Error Estimate of a PressureStabilized LagrangeGalerkin Scheme for the Oseen Problem.
Journal of Scientific Computing, 80(2), pp. 834858, 2019.
doi:10.1007/s10915019009587.
 M. Tabata and S. Uchiumi.
Numerical computation of triangular cavity flows by a LagrangeGalerkin scheme with a locally linearized velocity.
Journal of Advanced Simulation in Science and Engineering, Vol. 4, No. 1, pp. 113, 2018.
doi:10.15748/jasse.4.1
 M. Tabata and S. Uchiumi.
An exactly computable LagrangeGalerkin scheme for the NavierStokes equations and its error estimates.
Mathematics of Computation, Vol. 87, pp. 3967, 2018.
doi:10.1090/mcom/3222
 M. Tabata and S. Uchiumi.
A genuinely stable LagrangeGalerkin scheme for convectiondiffusion problems.
Japan Journal of Industrial and Applied Mathematics, Vol. 33, No. 1, pp. 121143, 2016.
doi:10.1007/s1316001501962
 S. Uchiumi.
Conditional stability of the LagrangeGalerkin scheme with numerical quadrature.
JSIAM Letters, Vol. 7, pp. 6164, 2015.
doi:10.14495/jsiaml.7.61
Thesis for doctoral degree
 S. Uchiumi.
LagrangeGalerkin schemes with a locally linearized velocity for the flow problems.
Waseda University, February 2017.
Link > Honbun7469.pdf
Education
 Supervisor
 Professor Masahisa Tabata
(Professor Emeritus of Kyushu University)
 Doctor of Science
 Waseda University, March 2017
 Master of Science
 Waseda University, March 2014
 Bachelor of Science
 Waseda University, March 2012