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## Tajima, Shinichi

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 Author ID: 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
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#### Co-Authors

 39 single-authored 25 Nabeshima, Katsusuke 25 Nakamura, Yayoi 7 Ohara, Katsuyoshi 2 Inamuro, Takaji 2 Shibuta, Takafumi 2 Terui, Akira 2 Umeta, Yoko 1 Aoki, Takashi 1 Konishi, Nobuharu 1 Oaku, Toshinori 1 Ogata, Takeshi 1 Ogino, Fumimaru 1 Tose, Nobuyuki 1 Uchida, Motoo
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#### Serials

 19 RIMS Kokyuroku 6 Mathematics in Computer Science 5 Proceedings of the Japan Academy. Series A 5 Journal of Symbolic Computation 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 RIMS Kôkyûroku Bessatsu 2 Funkcialaj Ekvacioj. Serio Internacia 2 Kyushu Journal of Mathematics 2 Nihonkai Mathematical Journal 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Mathematica Vietnamica 1 Journal of the Faculty of Science. Section I A 1 Memoirs of the Faculty of Science. Series A. Mathematics 1 Tsukuba Journal of Mathematics 1 Saitama Mathematical Journal 1 Sūgaku 1 Sugaku Expositions 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Sciences (New York) 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Fields

 65 Several complex variables and analytic spaces (32-XX) 29 Commutative algebra (13-XX) 22 Algebraic geometry (14-XX) 17 Computer science (68-XX) 14 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

#### 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.
2004
Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478
Inamuro, T.; Tajima, S.; Ogino, F.
2004
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
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
1982
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
2009
Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020
Tajima, Shinichi; Nakamura, Yayoi
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
2014
Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009
Tajima, Shinichi; Nakamura, Yayoi
2012
On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003
Nakamura, Yayoi; Tajima, Shinichi
2007
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
2015
Computing Tjurina stratifications of $$\mu$$-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
2018
Computing $$\mu^{*}$$-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Unimodal singularities and differential operators. Zbl 1086.32024
Nakamura, Yayoi; Tajima, Shinichi
2005
On polar varieties, logarithmic vector fields and holonomic $$D$$-modules. Zbl 1290.32032
Tajima, Shinichi
2013
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Multidimensional local residues and holonomic $$D$$-modules. Zbl 0944.32008
Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi
1998
Residue calculus with differential operator. Zbl 0993.32008
Nakamura, Yayoi; Tajima, Shinichi
2000
Computational aspects of Grothendieck local residues. Zbl 1089.32002
Tajima, Shinichi; Nakamura, Yayoi
2005
On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302
Tajima, Shinichi
2005
On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009
Aoki, Takashi; Tajima, Shinichi
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
2014
Parametric local cohomology classes and Tjurina stratifications for $$\mu$$-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023
Tajima, Shinichi
2014
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
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
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
2018
Alternative algorithms for computing generic $$\mu^\ast$$-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2019
Comprehensive Gröbner systems in rings of differential operators, holonomic $$D$$-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
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
2002
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
Tajima, S.
2004
Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500
Tajima, Shinichi
2000
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
2004
$${\bar \partial}_ b$$-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009
Tajima, Shinichi
1989
Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017
Tajima, Shinichi
1991
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic $$D$$-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2018
Algebraic local cohomologies and local $$b$$-functions attached to semiquasihomogeneous singularities with $$L(f)=2$$. Zbl 1317.14009
Nakamura, Yayoi; Tajima, Shinichi
2012
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
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
2020
Alternative algorithms for computing generic $$\mu^\ast$$-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097
Nabeshima, Katsusuke; Tajima, Shinichi
2019
Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019
Nabeshima, Katsusuke; Tajima, Shinichi
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
2018
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic $$D$$-modules. Zbl 1428.13047
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2018
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Computing $$\mu^{*}$$-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035
Nabeshima, Katsusuke; Tajima, Shinichi
2017
Computing Tjurina stratifications of $$\mu$$-constant deformations via parametric local cohomology systems. Zbl 1357.13021
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052
Nabeshima, Katsusuke; Tajima, Shinichi
2016
Comprehensive Gröbner systems in rings of differential operators, holonomic $$D$$-modules and b-functions. Zbl 1360.13062
Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi
2016
Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017
Tajima, Shinichi; Umeta, Yoko
2016
Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291
Nabeshima, Katsusuke; Tajima, Shinichi
2015
Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077
Nabeshima, Katsusuke; Tajima, Shinichi
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
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
2014
Parametric local cohomology classes and Tjurina stratifications for $$\mu$$-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023
Tajima, Shinichi
2014
On polar varieties, logarithmic vector fields and holonomic $$D$$-modules. Zbl 1290.32032
Tajima, Shinichi
2013
Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009
Tajima, Shinichi; Nakamura, Yayoi
2012
Algebraic local cohomologies and local $$b$$-functions attached to semiquasihomogeneous singularities with $$L(f)=2$$. Zbl 1317.14009
Nakamura, Yayoi; Tajima, Shinichi
2012
Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020
Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke
2009
Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020
Tajima, Shinichi; Nakamura, Yayoi
2009
On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003
Nakamura, Yayoi; Tajima, Shinichi
2007
Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020
Tajima, Shinichi; Nakamura, Yayoi
2005
Unimodal singularities and differential operators. Zbl 1086.32024
Nakamura, Yayoi; Tajima, Shinichi
2005
Computational aspects of Grothendieck local residues. Zbl 1089.32002
Tajima, Shinichi; Nakamura, Yayoi
2005
On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302
Tajima, Shinichi
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.
2004
Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478
Inamuro, T.; Tajima, S.; Ogino, F.
2004
An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034
Tajima, S.
2004
Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112
Tajima, S.
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
2002
Residue calculus with differential operator. Zbl 0993.32008
Nakamura, Yayoi; Tajima, Shinichi
2000
Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500
Tajima, Shinichi
2000
Multidimensional local residues and holonomic $$D$$-modules. Zbl 0944.32008
Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi
1998
Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017
Tajima, Shinichi
1991
$${\bar \partial}_ b$$-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009
Tajima, Shinichi
1989
On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009
Aoki, Takashi; Tajima, Shinichi
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
1982
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#### Cited by 26 Authors

 23 Tajima, Shinichi 11 Nabeshima, Katsusuke 4 Nakamura, Yayoi 3 Ohara, Katsuyoshi 2 Nacinovich, Mauro 2 Takeuchi, Kiyoshi 1 Anan’evskii, A. S. 1 Aoki, Takashi 1 Artebani, Michela 1 Berkesch Zamaere, Christine 1 Błocki, Zbigniew 1 Forsgård, Jens 1 Guralnick, Robert Michael 1 Kashiwara, Masaki 1 Khenkin, Gennadiĭ Markovich 1 Larsen, Michael Jeffrey 1 Manack, Corey 1 Matusevich, Laura Felicia 1 Michel, Vincent 1 Pirola, Gian Pietro 1 Schapira, Pierre 1 Shibuta, Takafumi 1 Sinchuk, Sergeĭ Sergeevich 1 Uchida, Motoo 1 Valli, Giorgio 1 Vavilov, Nikolaĭ Aleksandrovich
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#### Cited in 18 Serials

 6 Mathematics in Computer Science 5 Journal of Symbolic Computation 4 Proceedings of the Japan Academy. Series A 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Proceedings of the American Mathematical Society 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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#### Cited in 13 Fields

 26 Several complex variables and analytic spaces (32-XX) 10 Commutative algebra (13-XX) 9 Algebraic geometry (14-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX) 3 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX)