Edit Profile (opens in new tab) Murakawa, Hideki Co-Author Distance Author ID: murakawa.hideki Published as: Murakawa, Hideki; Murakawa, H. Documents Indexed: 33 Publications since 1978, including 1 Additional arXiv Preprint Co-Authors: 23 Co-Authors with 14 Joint Publications 825 Co-Co-Authors all top 5 Co-Authors 12 single-authored 7 Atluri, Satya N. 3 Ninomiya, Hirokazu 2 Carrillo de la Plata, José Antonio 2 Hilhorst, Danielle 2 Mainini, Edoardo 2 Piovano, Paolo 2 Stefanelli, Ulisse 2 Togashi, Hideru 1 Bailo, Rafael 1 Bratianu, Constantin 1 Ducrot, Arnaud 1 Eymard, Robert 1 Iida, Masato 1 Kobayashi, Albert S. 1 Le Foll, Frank 1 Magal, Pierre 1 Molati, Motlatsi 1 Monobe, Harunori 1 Nakaki, Tatsuyuki 1 Olech, Michał 1 Pasquier, Jennifer 1 Reed, Kenneth W. 1 Rubenstein, R. A. 1 Sato, Makoto 1 Schmidtchen, Markus 1 Tanaka, Yoshitaro 1 Trush, Olena 1 Webb, Glenn Francis all top 5 Serials 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Mechanics 2 Japan Journal of Industrial and Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Theoretical Biology 1 Computers and Structures 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Journal of Differential Equations 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematical Modelling 1 Communications in Nonlinear Science and Numerical Simulation 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Networks and Heterogeneous Media 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 21 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 160 times in 107 Documents Cited by ▼ Year ▼ Continuous models for cell-cell adhesion. Zbl 1341.92019 Murakawa, Hideki; Togashi, Hideru 24 2015 A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation. Zbl 1414.92133 Carrillo, Jose A.; Murakawa, Hideki; Sato, Makoto; Togashi, Hideru; Trush, Olena 21 2019 Fast reaction limit of a three-component reaction-diffusion system. Zbl 1217.35017 Murakawa, H.; Ninomiya, H. 18 2011 An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204 Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F. 15 2011 Reaction-diffusion system approximation to degenerate parabolic systems. Zbl 1241.35122 Murakawa, H. 14 2007 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. Zbl 0392.73038 Murakawa, H.; Atluri, S. N. 14 1978 A relation between cross-diffusion and reaction-diffusion. Zbl 1255.35135 Murakawa, Hideki 13 2012 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. II. Incompressible materials. Zbl 0404.73075 Murakawa, H.; Atluri, S. N. 12 1979 On hybrid finite element models in nonlinear solid mechanics. Zbl 0407.73038 Atluri, S. N.; Murakawa, H. 10 1978 A linear finite volume method for nonlinear cross-diffusion systems. Zbl 1386.35188 Murakawa, Hideki 9 2017 Carbon-nanotube geometries: analytical and numerical results. Zbl 1362.82059 Mainini, Edoardo; Murakawa, Hideki; Piovano, Paolo; Stefanelli, Ulisse 8 2017 Vanishing, moving and immovable interfaces in fast reaction limits. Zbl 1515.35364 Iida, M.; Monobe, H.; Murakawa, H.; Ninomiya, H. 8 2017 A linear scheme to approximate nonlinear cross-diffusion systems. Zbl 1269.65090 Murakawa, Hideki 8 2011 Carbon-nanotube geometries as optimal configurations. Zbl 1394.82028 Mainini, Edoardo; Murakawa, H.; Piovano, Paolo; Stefanelli, Ulisse 5 2017 Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations. Zbl 1460.65160 Bailo, Rafael; Carrillo, José A.; Murakawa, Hideki; Schmidtchen, Markus 5 2020 Error estimates for discrete-time approximations of nonlinear cross-diffusion systems. Zbl 1306.65255 Murakawa, Hideki 4 2014 Exact solutions of nonlinear diffusion-convection-reaction equation: a Lie symmetry analysis approach. Zbl 1471.35075 Molati, Motlatsi; Murakawa, Hideki 4 2019 Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018 Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal 4 2010 Stability analysis of structures via a new complementary energy method. Zbl 0455.73041 Murakawa, H.; Reed, K. W.; Atluri, S. N.; Rubenstein, R. 3 1981 New general and complementary energy theorems, finite strain, rate sensitive inelasticity and finite elements: Some computational studies. Zbl 0465.73105 Atluri, S. N.; Murakawa, H. 3 1981 A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem. Zbl 1158.35379 Murakawa, Hideki 3 2008 A singular limit method for the Stefan problems. Zbl 1056.65080 Murakawa, Hideki; Nakaki, Tatsuyuki 2 2004 Numerical solution of nonlinear cross-diffusion systems by a linear scheme. Zbl 1337.65117 Murakawa, Hideki 2 2015 Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. Zbl 1307.35138 Hilhorst, Danielle; Murakawa, Hideki 2 2014 Fast reaction limit of reaction-diffusion systems. Zbl 1462.35035 Murakawa, Hideki 2 2021 An efficient linear scheme to approximate nonlinear diffusion problems. Zbl 1400.35163 Murakawa, Hideki 1 2018 Numerical modelling of nonlinear behaviour of soft biological materials. Zbl 0452.73083 Atluri, Satya N.; Murakawa, H.; Kobayashi, Albert S. 1 1979 Use of stress functions and asymptotic solutions in FEM analysis of continua. Zbl 0464.73099 Atluri, S. N.; Murakawa, H.; Bratianu, C. 1 1981 On reaction-diffusion system approximations to the classical Stefan problems. Zbl 1144.80365 Murakawa, Hideki 1 2006 A free boundary problem in a singular limit of a three-component reaction-diffusion system. Zbl 1274.35432 Murakawa, Hideki; Ninomiya, Hirokazu 1 2012 Fast reaction limit of reaction-diffusion systems. Zbl 1462.35035 Murakawa, Hideki 2 2021 Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations. Zbl 1460.65160 Bailo, Rafael; Carrillo, José A.; Murakawa, Hideki; Schmidtchen, Markus 5 2020 A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation. Zbl 1414.92133 Carrillo, Jose A.; Murakawa, Hideki; Sato, Makoto; Togashi, Hideru; Trush, Olena 21 2019 Exact solutions of nonlinear diffusion-convection-reaction equation: a Lie symmetry analysis approach. Zbl 1471.35075 Molati, Motlatsi; Murakawa, Hideki 4 2019 An efficient linear scheme to approximate nonlinear diffusion problems. Zbl 1400.35163 Murakawa, Hideki 1 2018 A linear finite volume method for nonlinear cross-diffusion systems. Zbl 1386.35188 Murakawa, Hideki 9 2017 Carbon-nanotube geometries: analytical and numerical results. Zbl 1362.82059 Mainini, Edoardo; Murakawa, Hideki; Piovano, Paolo; Stefanelli, Ulisse 8 2017 Vanishing, moving and immovable interfaces in fast reaction limits. Zbl 1515.35364 Iida, M.; Monobe, H.; Murakawa, H.; Ninomiya, H. 8 2017 Carbon-nanotube geometries as optimal configurations. Zbl 1394.82028 Mainini, Edoardo; Murakawa, H.; Piovano, Paolo; Stefanelli, Ulisse 5 2017 Continuous models for cell-cell adhesion. Zbl 1341.92019 Murakawa, Hideki; Togashi, Hideru 24 2015 Numerical solution of nonlinear cross-diffusion systems by a linear scheme. Zbl 1337.65117 Murakawa, Hideki 2 2015 Error estimates for discrete-time approximations of nonlinear cross-diffusion systems. Zbl 1306.65255 Murakawa, Hideki 4 2014 Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. Zbl 1307.35138 Hilhorst, Danielle; Murakawa, Hideki 2 2014 A relation between cross-diffusion and reaction-diffusion. Zbl 1255.35135 Murakawa, Hideki 13 2012 A free boundary problem in a singular limit of a three-component reaction-diffusion system. Zbl 1274.35432 Murakawa, Hideki; Ninomiya, Hirokazu 1 2012 Fast reaction limit of a three-component reaction-diffusion system. Zbl 1217.35017 Murakawa, H.; Ninomiya, H. 18 2011 An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition. Zbl 1221.35204 Ducrot, Arnaud; Le Foll, Frank; Magal, Pierre; Murakawa, Hideki; Pasquier, Jennifer; Webb, Glenn F. 15 2011 A linear scheme to approximate nonlinear cross-diffusion systems. Zbl 1269.65090 Murakawa, Hideki 8 2011 Numerical approximation of a reaction-diffusion system with fast reversible reaction. Zbl 1206.35018 Eymard, Robert; Hilhorst, Danielle; Murakawa, Hideki; Olech, Michal 4 2010 A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem. Zbl 1158.35379 Murakawa, Hideki 3 2008 Reaction-diffusion system approximation to degenerate parabolic systems. Zbl 1241.35122 Murakawa, H. 14 2007 On reaction-diffusion system approximations to the classical Stefan problems. Zbl 1144.80365 Murakawa, Hideki 1 2006 A singular limit method for the Stefan problems. Zbl 1056.65080 Murakawa, Hideki; Nakaki, Tatsuyuki 2 2004 Stability analysis of structures via a new complementary energy method. Zbl 0455.73041 Murakawa, H.; Reed, K. W.; Atluri, S. N.; Rubenstein, R. 3 1981 New general and complementary energy theorems, finite strain, rate sensitive inelasticity and finite elements: Some computational studies. Zbl 0465.73105 Atluri, S. N.; Murakawa, H. 3 1981 Use of stress functions and asymptotic solutions in FEM analysis of continua. Zbl 0464.73099 Atluri, S. N.; Murakawa, H.; Bratianu, C. 1 1981 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. II. Incompressible materials. Zbl 0404.73075 Murakawa, H.; Atluri, S. N. 12 1979 Numerical modelling of nonlinear behaviour of soft biological materials. Zbl 0452.73083 Atluri, Satya N.; Murakawa, H.; Kobayashi, Albert S. 1 1979 Finite elasticity solutions using hybrid finite elements based on a complementary energy principle. Zbl 0392.73038 Murakawa, H.; Atluri, S. N. 14 1978 On hybrid finite element models in nonlinear solid mechanics. Zbl 0407.73038 Atluri, S. N.; Murakawa, H. 10 1978 all cited Publications top 5 cited Publications all top 5 Cited by 180 Authors 12 Carrillo de la Plata, José Antonio 9 Murakawa, Hideki 8 Schmidtchen, Markus 7 Stefanelli, Ulisse 6 Magal, Pierre 5 Fu, Xiaoming 4 Desvillettes, Laurent 4 Friedrich, Manuel 4 Izuhara, Hirofumi 4 Jüngel, Ansgar 4 Piovano, Paolo 3 Bailo, Rafael 3 Griette, Quentin 3 Iida, Masato 3 Mainini, Edoardo 3 Monobe, Harunori 3 Ninomiya, Hirokazu 3 Pietschmann, Jan-Frederik 3 Zurek, Antoine 2 Bellomo, Nicola 2 Cancès, Clément 2 Daus, Esther S. 2 de Teresa, Luz 2 Ducrot, Arnaud 2 Ei, Shin-Ichiro 2 Fiebach, André 2 Glitzky, Annegret 2 Heinze, Georg 2 Hillen, Thomas 2 Ishii, Hiroshi 2 Lin, Zhigui 2 Linke, Alexander 2 Liu, Zuhan 2 Logvenkov, S. A. 2 Maini, Philip Kumar 2 Mimura, Masayasu 2 Painter, Kevin J. 2 Skrzeczkowski, Jakub 2 Soresina, Cinzia 2 Takahashi, Takéo 2 Trescases, Ariane 2 Wu-Zhang, Yingying 2 Wu, Changhong 2 Yang, Jian 2 Zhang, Shan 2 Zhou, Guanyu 2 Zhou, Ling 1 Aihara, Kazuyuki 1 Al-Amr, Mohammed O. 1 Al-Sawoor, Ann J. 1 Anaya, Verónica 1 Anjitha, K. M. 1 Au, Vo Van 1 Bader, Samuel B. 1 Bai, Chenglin 1 Bendahmane, Mostafa 1 Bian, Shen 1 Brezzi, Franco 1 Burger, Martin 1 Buttenschön, Andreas 1 Byrne, Helen Mary 1 Cangiani, Andrea 1 Caraballo Garrido, Tomás 1 Causin, Paola 1 Celora, Giulia L. 1 Chainais-Hillairet, Claire 1 Chaplain, Mark A. J. 1 Chen, Xinfu 1 Cherniha, Roman M. 1 Colombi, Annachiara 1 Conforto, Fiammetta 1 Coscia, Vincenzo 1 David, Noemi 1 Davoli, Elisa 1 De Masi, Anna 1 Dębiec, Tomasz 1 Denizhan, Yagmur 1 Dietert, Helge 1 dos Reis, Gonçalo 1 Duong, Manh Hong 1 Eckardt, Maria 1 Eliaš, Ján 1 Fagioli, Simone 1 Filbet, Francis 1 Fitzgibbon, William Edward 1 Funaki, Tadahisa 1 Gaffney, Eamonn A. 1 Galiano Casas, Gonzalo 1 Georgoulis, Emmanuil H. 1 Gerisch, Alf 1 Gerstenmayer, Anita 1 Gvalani, Rishabh S. 1 Habiboglu, M. Gokhan 1 Hammond, Ester M. 1 Hayashi, Kohei 1 Herda, Maxime 1 Hilhorst, Danielle 1 Hoffmann, Franca 1 Hu, Jingwei 1 Huang, Yanghong ...and 80 more Authors all top 5 Cited in 60 Serials 6 Journal of Mathematical Biology 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Mathematical Analysis and Applications 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 5 Journal of Theoretical Biology 4 Numerische Mathematik 4 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Differential Equations 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Fluid Dynamics 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Bulletin des Sciences Mathématiques 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Mathematical Biosciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Kybernetika 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical and Computer Modelling of Dynamical Systems 1 Interfaces and Free Boundaries 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 SN Partial Differential Equations and Applications all top 5 Cited in 23 Fields 84 Partial differential equations (35-XX) 51 Biology and other natural sciences (92-XX) 24 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year