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Tajima, Shinichi

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Author ID: tajima.shinichi Recent zbMATH articles by "Tajima, Shinichi"
Published as: Tajima, Shinichi; Tajima, S.; Tajiima, Shinichi; Tajima, Shin-ichi; Tajima, Shin’ichi
Documents Indexed: 101 Publications since 1978, including 1 Book
Reviewing Activity: 48 Reviews

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 250 times in 35 Documents Cited by Year
A lattice Boltzmann method for incompressible two-phase flows with large density differences. Zbl 1116.76415
Inamuro, T.; Ogata, T.; Tajima, S.; Konishi, N.
118
2004
Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478
Inamuro, T.; Tajima, S.; Ogino, F.
18
2004
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
11
2009
Analyse microlocale sur les variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles. Zbl 0553.58028
Tajima, Shinichi
10
1982
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
8
2017
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
7
2009
Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020
Tajima, Shinichi; Nakamura, Yayoi
7
2005
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297
Nabeshima, Katsusuke; Tajima, Shinichi
5
2014
Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009
Tajima, Shinichi; Nakamura, Yayoi
4
2012
On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003
Nakamura, Yayoi; Tajima, Shinichi
4
2007
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
4
2015
Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
4
2016
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
4
2018
Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
4
2017
Unimodal singularities and differential operators. Zbl 1086.32024
Nakamura, Yayoi; Tajima, Shinichi
3
2005
On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032
Tajima, Shinichi
3
2013
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
3
2016
Multidimensional local residues and holonomic \(D\)-modules. Zbl 0944.32008
Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi
2
1998
Residue calculus with differential operator. Zbl 0993.32008
Nakamura, Yayoi; Tajima, Shinichi
2
2000
Computational aspects of Grothendieck local residues. Zbl 1089.32002
Tajima, Shinichi; Nakamura, Yayoi
2
2005
On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302
Tajima, Shinichi
2
2005
On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009
Aoki, Takashi; Tajima, Shinichi
2
1987
An algorithm for computing Tjurina stratifications of \(\mu \)-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011
Nabeshima, Katsusuke; Tajima, Shinichi
2
2014
Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023
Tajima, Shinichi
2
2014
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
2
2015
An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings. Zbl 1446.13011
Shibuta, Takafumi; Tajima, Shinichi
2
2020
A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. Zbl 1420.13044
Nabeshima, Katsusuke; Tajima, Shinichi
2
2018
Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2
2019
Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2
2016
A method for constructing holonomic systems for algebraic local cohomology classes with support on a zero dimensional variety. Zbl 1059.14007
Nakamura, Yayoi; Tajima, Shinichi
1
2002
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
Tajima, S.
1
2004
Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500
Tajima, Shinichi
1
2000
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
1
2004
\({\bar \partial}_ b\)-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009
Tajima, Shinichi
1
1989
Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017
Tajima, Shinichi
1
1991
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
1
2018
Algebraic local cohomologies and local \(b\)-functions attached to semiquasihomogeneous singularities with \(L(f)=2\). Zbl 1317.14009
Nakamura, Yayoi; Tajima, Shinichi
1
2012
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
1
2016
An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings. Zbl 1446.13011
Shibuta, Takafumi; Tajima, Shinichi
2
2020
Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2
2019
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
4
2018
A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. Zbl 1420.13044
Nabeshima, Katsusuke; Tajima, Shinichi
2
2018
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
1
2018
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
8
2017
Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
4
2017
Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
4
2016
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
3
2016
Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2
2016
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
1
2016
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
4
2015
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
2
2015
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297
Nabeshima, Katsusuke; Tajima, Shinichi
5
2014
An algorithm for computing Tjurina stratifications of \(\mu \)-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011
Nabeshima, Katsusuke; Tajima, Shinichi
2
2014
Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023
Tajima, Shinichi
2
2014
On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032
Tajima, Shinichi
3
2013
Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009
Tajima, Shinichi; Nakamura, Yayoi
4
2012
Algebraic local cohomologies and local \(b\)-functions attached to semiquasihomogeneous singularities with \(L(f)=2\). Zbl 1317.14009
Nakamura, Yayoi; Tajima, Shinichi
1
2012
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
11
2009
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
7
2009
On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003
Nakamura, Yayoi; Tajima, Shinichi
4
2007
Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020
Tajima, Shinichi; Nakamura, Yayoi
7
2005
Unimodal singularities and differential operators. Zbl 1086.32024
Nakamura, Yayoi; Tajima, Shinichi
3
2005
Computational aspects of Grothendieck local residues. Zbl 1089.32002
Tajima, Shinichi; Nakamura, Yayoi
2
2005
On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302
Tajima, Shinichi
2
2005
A lattice Boltzmann method for incompressible two-phase flows with large density differences. Zbl 1116.76415
Inamuro, T.; Ogata, T.; Tajima, S.; Konishi, N.
118
2004
Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478
Inamuro, T.; Tajima, S.; Ogino, F.
18
2004
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
Tajima, S.
1
2004
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
1
2004
A method for constructing holonomic systems for algebraic local cohomology classes with support on a zero dimensional variety. Zbl 1059.14007
Nakamura, Yayoi; Tajima, Shinichi
1
2002
Residue calculus with differential operator. Zbl 0993.32008
Nakamura, Yayoi; Tajima, Shinichi
2
2000
Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500
Tajima, Shinichi
1
2000
Multidimensional local residues and holonomic \(D\)-modules. Zbl 0944.32008
Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi
2
1998
Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017
Tajima, Shinichi
1
1991
\({\bar \partial}_ b\)-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009
Tajima, Shinichi
1
1989
On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009
Aoki, Takashi; Tajima, Shinichi
2
1987
Analyse microlocale sur les variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles. Zbl 0553.58028
Tajima, Shinichi
10
1982

Citations by Year