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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: 106 Publications since 1978
1 Contribution as Editor
Reviewing Activity: 48 Reviews
Co-Authors: 10 Co-Authors with 65 Joint Publications
116 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 307 times in 41 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.
126
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
15
2009
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
12
2017
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
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
9
2009
Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020
Tajima, Shinichi; Nakamura, Yayoi
8
2005
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
6
2015
Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
6
2016
On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032
Tajima, Shinichi
6
2013
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297
Nabeshima, Katsusuke; Tajima, Shinichi
6
2014
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
5
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
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 and Bruce-Roberts Milnor numbers via local cohomology classes. Zbl 07179445
Nabeshima, Katsusuke; Tajima, Shinichi
4
2019
Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
3
2019
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
3
2018
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
3
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
3
2018
Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
3
2016
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
3
2015
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
3
2005
Testing zero-dimensionality of varieties at a point. Zbl 07363380
Nabeshima, Katsusuke; Tajima, Shinichi
3
2021
On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302
Tajima, Shinichi
2
2005
Residue calculus with differential operator. Zbl 0993.32008
Nakamura, Yayoi; Tajima, Shinichi
2
2000
On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009
Aoki, Takashi; Tajima, Shinichi
2
1987
Multidimensional local residues and holonomic \(D\)-modules. Zbl 0944.32008
Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi
2
1998
Solving parametric ideal membership problems and computing integral numbers in a ring of convergent power series via comprehensive Gröbner systems. Zbl 1474.13057
Nabeshima, Katsusuke; Tajima, Shinichi
2
2019
An algorithm for computing Grothendieck local residues. I: Shape basis case. Zbl 1474.32015
Ohara, Katsuyoshi; Tajima, Shinichi
2
2019
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
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
2
2016
Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023
Tajima, Shinichi
2
2014
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
1
2004
Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500
Tajima, Shinichi
1
2000
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 Grothendieck local residues. II: General case. Zbl 1457.32006
Ohara, Katsuyoshi; Tajima, Shinichi
1
2020
An implementation of the Lê-Teissier method for computing local Euler obstructions. Zbl 1474.32048
Tajima, Shinichi; Nabeshima, Katsusuke
1
2019
On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities. Zbl 1360.13045
Nabeshima, Katsusuke; Tajima, Shinichi
1
2015
Comprehensive Gröbner systems approach to \(b\)-functions of \(\mu\)-constant deformations. Zbl 1378.14015
Nabeshima, Katsusuke; Tajima, Shinichi
1
2017
On b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities. Zbl 1327.32044
Tajima, Shinichi
1
2014
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
Tajima, S.
1
2004
\({\bar \partial}_ b\)-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009
Tajima, Shinichi
1
1989
Algebraic local cohomologies and local \(b\)-functions attached to semiquasihomogeneous singularities with \(L(f)=2\). Zbl 1317.14009
Nakamura, Yayoi; Tajima, Shinichi
1
2012
Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017
Tajima, Shinichi
1
1991
Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 1472.32013
Tajima, Shinichi; Nabeshima, Katsusuke
1
2021
Holonomic \(D\)-modules associated with a simple line singularity and the vertical monodromy. Zbl 1464.32046
Tajima, Shinichi; Umeta, Yoko
1
2021
An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity. Zbl 1476.14008
Tajima, Shinichi; Nabeshima, Katsusuke
1
2021
Testing zero-dimensionality of varieties at a point. Zbl 07363380
Nabeshima, Katsusuke; Tajima, Shinichi
3
2021
Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 1472.32013
Tajima, Shinichi; Nabeshima, Katsusuke
1
2021
Holonomic \(D\)-modules associated with a simple line singularity and the vertical monodromy. Zbl 1464.32046
Tajima, Shinichi; Umeta, Yoko
1
2021
An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity. Zbl 1476.14008
Tajima, Shinichi; Nabeshima, Katsusuke
1
2021
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
3
2020
An algorithm for computing Grothendieck local residues. II: General case. Zbl 1457.32006
Ohara, Katsuyoshi; Tajima, Shinichi
1
2020
Computing logarithmic vector fields and Bruce-Roberts Milnor numbers via local cohomology classes. Zbl 07179445
Nabeshima, Katsusuke; Tajima, Shinichi
4
2019
Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
3
2019
Solving parametric ideal membership problems and computing integral numbers in a ring of convergent power series via comprehensive Gröbner systems. Zbl 1474.13057
Nabeshima, Katsusuke; Tajima, Shinichi
2
2019
An algorithm for computing Grothendieck local residues. I: Shape basis case. Zbl 1474.32015
Ohara, Katsuyoshi; Tajima, Shinichi
2
2019
An implementation of the Lê-Teissier method for computing local Euler obstructions. Zbl 1474.32048
Tajima, Shinichi; Nabeshima, Katsusuke
1
2019
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
4
2018
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
3
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
3
2018
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
12
2017
Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
4
2017
Comprehensive Gröbner systems approach to \(b\)-functions of \(\mu\)-constant deformations. Zbl 1378.14015
Nabeshima, Katsusuke; Tajima, Shinichi
1
2017
Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
6
2016
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
5
2016
Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
3
2016
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
2
2016
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
6
2015
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
3
2015
On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities. Zbl 1360.13045
Nabeshima, Katsusuke; Tajima, Shinichi
1
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
6
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 b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities. Zbl 1327.32044
Tajima, Shinichi
1
2014
On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032
Tajima, Shinichi
6
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
15
2009
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
9
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
8
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
3
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.
126
2004
Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478
Inamuro, T.; Tajima, S.; Ogino, F.
18
2004
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
1
2004
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
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