Edit Profile (opens in new tab) Tajima, Shinichi Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 40 single-authored 29 Nabeshima, Katsusuke 25 Nakamura, Yayoi 7 Ohara, Katsuyoshi 3 Umeta, Yoko 2 Inamuro, Takaji 2 Shibuta, Takafumi 2 Terui, Akira 1 Aoki, Takashi 1 Konishi, Nobuharu 1 Oaku, Toshinori 1 Ogata, Takeshi 1 Ogino, Fumimaru 1 Tose, Nobuyuki 1 Uchida, Motoo all top 5 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 3 Kyushu Journal of Mathematics 2 Funkcialaj Ekvacioj. Serio Internacia 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 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Acta Mathematica Vietnamica 1 Hokkaido Mathematical Journal 1 Journal of Algebra 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 all top 5 Fields 67 Several complex variables and analytic spaces (32-XX) 31 Commutative algebra (13-XX) 25 Algebraic geometry (14-XX) 19 Computer science (68-XX) 14 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-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 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications 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 1116.76415Inamuro, T.; Ogata, T.; Tajima, S.; Konishi, N. 126 2004 Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478Inamuro, T.; Tajima, S.; Ogino, F. 18 2004 Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke 15 2009 Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026Nabeshima, 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 0553.58028Tajima, Shinichi 10 1982 Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020Tajima, Shinichi; Nakamura, Yayoi 9 2009 Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020Tajima, Shinichi; Nakamura, Yayoi 8 2005 Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291Nabeshima, Katsusuke; Tajima, Shinichi 6 2015 Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021Nabeshima, Katsusuke; Tajima, Shinichi 6 2016 On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032Tajima, Shinichi 6 2013 On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297Nabeshima, Katsusuke; Tajima, Shinichi 6 2014 Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052Nabeshima, Katsusuke; Tajima, Shinichi 5 2016 Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019Nabeshima, Katsusuke; Tajima, Shinichi 4 2018 Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035Nabeshima, Katsusuke; Tajima, Shinichi 4 2017 Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009Tajima, Shinichi; Nakamura, Yayoi 4 2012 On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003Nakamura, Yayoi; Tajima, Shinichi 4 2007 Computing logarithmic vector fields and Bruce-Roberts Milnor numbers via local cohomology classes. Zbl 07179445Nabeshima, Katsusuke; Tajima, Shinichi 4 2019 Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097Nabeshima, Katsusuke; Tajima, Shinichi 3 2019 Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047Nabeshima, 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 1446.13011Shibuta, Takafumi; Tajima, Shinichi 3 2020 A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology. Zbl 1420.13044Nabeshima, Katsusuke; Tajima, Shinichi 3 2018 Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi 3 2016 Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077Nabeshima, Katsusuke; Tajima, Shinichi 3 2015 Unimodal singularities and differential operators. Zbl 1086.32024Nakamura, Yayoi; Tajima, Shinichi 3 2005 Computational aspects of Grothendieck local residues. Zbl 1089.32002Tajima, Shinichi; Nakamura, Yayoi 3 2005 Testing zero-dimensionality of varieties at a point. Zbl 07363380Nabeshima, Katsusuke; Tajima, Shinichi 3 2021 On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302Tajima, Shinichi 2 2005 Residue calculus with differential operator. Zbl 0993.32008Nakamura, Yayoi; Tajima, Shinichi 2 2000 On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009Aoki, Takashi; Tajima, Shinichi 2 1987 Multidimensional local residues and holonomic \(D\)-modules. Zbl 0944.32008Tajima, 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 1474.13057Nabeshima, Katsusuke; Tajima, Shinichi 2 2019 An algorithm for computing Grothendieck local residues. I: Shape basis case. Zbl 1474.32015Ohara, Katsuyoshi; Tajima, Shinichi 2 2019 An algorithm for computing Tjurina stratifications of \(\mu \)-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011Nabeshima, Katsusuke; Tajima, Shinichi 2 2014 Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017Tajima, Shinichi; Umeta, Yoko 2 2016 Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023Tajima, Shinichi 2 2014 Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112Tajima, S. 1 2004 Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500Tajima, Shinichi 1 2000 A method for constructing holonomic systems for algebraic local cohomology classes with support on a zero dimensional variety. Zbl 1059.14007Nakamura, Yayoi; Tajima, Shinichi 1 2002 An algorithm for computing Grothendieck local residues. II: General case. Zbl 1457.32006Ohara, Katsuyoshi; Tajima, Shinichi 1 2020 An implementation of the Lê-Teissier method for computing local Euler obstructions. Zbl 1474.32048Tajima, Shinichi; Nabeshima, Katsusuke 1 2019 On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities. Zbl 1360.13045Nabeshima, Katsusuke; Tajima, Shinichi 1 2015 Comprehensive Gröbner systems approach to \(b\)-functions of \(\mu\)-constant deformations. Zbl 1378.14015Nabeshima, Katsusuke; Tajima, Shinichi 1 2017 On b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities. Zbl 1327.32044Tajima, Shinichi 1 2014 An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034Tajima, S. 1 2004 \({\bar \partial}_ b\)-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009Tajima, Shinichi 1 1989 Algebraic local cohomologies and local \(b\)-functions attached to semiquasihomogeneous singularities with \(L(f)=2\). Zbl 1317.14009Nakamura, Yayoi; Tajima, Shinichi 1 2012 Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017Tajima, Shinichi 1 1991 Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 1472.32013Tajima, Shinichi; Nabeshima, Katsusuke 1 2021 Holonomic \(D\)-modules associated with a simple line singularity and the vertical monodromy. Zbl 1464.32046Tajima, Shinichi; Umeta, Yoko 1 2021 An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity. Zbl 1476.14008Tajima, Shinichi; Nabeshima, Katsusuke 1 2021 Testing zero-dimensionality of varieties at a point. Zbl 07363380Nabeshima, Katsusuke; Tajima, Shinichi 3 2021 Computing regular meromorphic differential forms via Saito’s logarithmic residues. Zbl 1472.32013Tajima, Shinichi; Nabeshima, Katsusuke 1 2021 Holonomic \(D\)-modules associated with a simple line singularity and the vertical monodromy. Zbl 1464.32046Tajima, Shinichi; Umeta, Yoko 1 2021 An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity. Zbl 1476.14008Tajima, 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 1446.13011Shibuta, Takafumi; Tajima, Shinichi 3 2020 An algorithm for computing Grothendieck local residues. II: General case. Zbl 1457.32006Ohara, Katsuyoshi; Tajima, Shinichi 1 2020 Computing logarithmic vector fields and Bruce-Roberts Milnor numbers via local cohomology classes. Zbl 07179445Nabeshima, Katsusuke; Tajima, Shinichi 4 2019 Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. Zbl 1423.13097Nabeshima, 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 1474.13057Nabeshima, Katsusuke; Tajima, Shinichi 2 2019 An algorithm for computing Grothendieck local residues. I: Shape basis case. Zbl 1474.32015Ohara, Katsuyoshi; Tajima, Shinichi 2 2019 An implementation of the Lê-Teissier method for computing local Euler obstructions. Zbl 1474.32048Tajima, Shinichi; Nabeshima, Katsusuke 1 2019 Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities. Zbl 1418.32019Nabeshima, Katsusuke; Tajima, Shinichi 4 2018 Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules. Zbl 1428.13047Nabeshima, 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 1420.13044Nabeshima, Katsusuke; Tajima, Shinichi 3 2018 Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. Zbl 1430.13026Nabeshima, Katsusuke; Tajima, Shinichi 12 2017 Computing \(\mu^{*}\)-sequences of hypersurface isolated singularities via parametric local cohomology systems. Zbl 1393.13035Nabeshima, Katsusuke; Tajima, Shinichi 4 2017 Comprehensive Gröbner systems approach to \(b\)-functions of \(\mu\)-constant deformations. Zbl 1378.14015Nabeshima, Katsusuke; Tajima, Shinichi 1 2017 Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems. Zbl 1357.13021Nabeshima, Katsusuke; Tajima, Shinichi 6 2016 Solving extended ideal membership problems in rings of convergent power series via Gröbner bases. Zbl 1460.13052Nabeshima, Katsusuke; Tajima, Shinichi 5 2016 Comprehensive Gröbner systems in rings of differential operators, holonomic \(D\)-modules and b-functions. Zbl 1360.13062Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi 3 2016 Computing structures of holonomic D-modules associated with a simple line singularity. Zbl 1358.32017Tajima, Shinichi; Umeta, Yoko 2 2016 Computing logarithmic vector fields associated with parametric semi-quasihomogeneous hypersurface isolated singularities. Zbl 1345.68291Nabeshima, Katsusuke; Tajima, Shinichi 6 2015 Efficient computation of algebraic local cohomology classes and change of ordering for zero-dimensional standard bases. Zbl 1439.13077Nabeshima, Katsusuke; Tajima, Shinichi 3 2015 On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities. Zbl 1360.13045Nabeshima, Katsusuke; Tajima, Shinichi 1 2015 On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. Zbl 1325.68297Nabeshima, Katsusuke; Tajima, Shinichi 6 2014 An algorithm for computing Tjurina stratifications of \(\mu \)-constant deformations by using local cohomology classes with parameters. Zbl 1437.14011Nabeshima, Katsusuke; Tajima, Shinichi 2 2014 Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities. Zbl 1303.32023Tajima, Shinichi 2 2014 On b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities. Zbl 1327.32044Tajima, Shinichi 1 2014 On polar varieties, logarithmic vector fields and holonomic \(D\)-modules. Zbl 1290.32032Tajima, Shinichi 6 2013 Algebraic local cohomology classes attached to unimodal singularities. Zbl 1246.14009Tajima, Shinichi; Nakamura, Yayoi 4 2012 Algebraic local cohomologies and local \(b\)-functions attached to semiquasihomogeneous singularities with \(L(f)=2\). Zbl 1317.14009Nakamura, Yayoi; Tajima, Shinichi 1 2012 Standard bases and algebraic local cohomology for zero dimensional ideals. Zbl 1194.13020Tajima, Shinichi; Nakamura, Yayoi; Nabeshima, Katsusuke 15 2009 Annihilating ideals for an algebraic local cohomology class. Zbl 1171.32020Tajima, Shinichi; Nakamura, Yayoi 9 2009 On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Zbl 1129.14003Nakamura, Yayoi; Tajima, Shinichi 4 2007 Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities. Zbl 1105.32020Tajima, Shinichi; Nakamura, Yayoi 8 2005 Unimodal singularities and differential operators. Zbl 1086.32024Nakamura, Yayoi; Tajima, Shinichi 3 2005 Computational aspects of Grothendieck local residues. Zbl 1089.32002Tajima, Shinichi; Nakamura, Yayoi 3 2005 On Noether differential operators attached to a zero-dimensional primary ideal – shape basis case. Zbl 1140.32302Tajima, Shinichi 2 2005 A lattice Boltzmann method for incompressible two-phase flows with large density differences. Zbl 1116.76415Inamuro, T.; Ogata, T.; Tajima, S.; Konishi, N. 126 2004 Lattice Boltzmann simulation of droplet collision dynamics. Zbl 1112.76478Inamuro, T.; Tajima, S.; Ogino, F. 18 2004 Inhomogeneous ordinary differential equations and local cohomologies and residues. Zbl 1057.34112Tajima, S. 1 2004 An algorithm for computing exponential polynomial solutions of constant coefficients holonomic PDE’s –generic case–. Zbl 1107.35034Tajima, S. 1 2004 A method for constructing holonomic systems for algebraic local cohomology classes with support on a zero dimensional variety. Zbl 1059.14007Nakamura, Yayoi; Tajima, Shinichi 1 2002 Residue calculus with differential operator. Zbl 0993.32008Nakamura, Yayoi; Tajima, Shinichi 2 2000 Solvability conditions for nonhomogeneous ordinary differential equations. Zbl 0969.34500Tajima, Shinichi 1 2000 Multidimensional local residues and holonomic \(D\)-modules. Zbl 0944.32008Tajima, Shinichi; Oaku, Toshinori; Nakamura, Yayoi 2 1998 Microlocal analysis of tangential systems of Cauchy-Riemann equations. Zbl 0743.32017Tajima, Shinichi 1 1991 \({\bar \partial}_ b\)-cohomology and the Bochner-Martinelli kernel. Zbl 0683.32009Tajima, Shinichi 1 1989 On a generalization of Bochner’s tube theorem for generic CR-submanifolds. Zbl 0641.32009Aoki, 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 0553.58028Tajima, Shinichi 10 1982 all cited Publications top 5 cited Publications all top 5 Cited by 31 Authors 28 Tajima, Shinichi 15 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 Lima-Pereira, Barbara K. 1 Manack, Corey 1 Matusevich, Laura Felicia 1 Michel, Vincent 1 Nuño-Ballesteros, Juan José 1 Oréfice-Okamoto, B. 1 Pirola, Gian Pietro 1 Schapira, Pierre 1 Shibuta, Takafumi 1 Sinchuk, Sergeĭ Sergeevich 1 Tomazella, João Nivaldo 1 Uchida, Motoo 1 Umeta, Yoko 1 Valli, Giorgio 1 Vavilov, Nikolaĭ Aleksandrovich all top 5 Cited in 22 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 Hokkaido Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 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 Kyushu Journal of Mathematics 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Cited in 14 Fields 29 Several complex variables and analytic spaces (32-XX) 12 Commutative algebra (13-XX) 12 Algebraic geometry (14-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Partial differential equations (35-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) 1 Numerical analysis (65-XX) Citations by Year