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Zhao F, Chen X, Zhu L. A Novel Method To Find All Physical Solutions of Constrained Chemical Engineering Models in Polynomial Equations. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b00578] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Fei Zhao
- State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, P.R. China
| | - Xi Chen
- State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, P.R. China
| | - Lingyu Zhu
- College of Chemical Engineering, Zhejiang University of Technology, Hangzhou, Zhejiang 310014, P.R. China
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Jiménez-Islas H, Martínez-González GM, Navarrete-Bolaños JL, Botello-Álvarez JE, Oliveros-Muñoz JM. Nonlinear Homotopic Continuation Methods: A Chemical Engineering Perspective Review. Ind Eng Chem Res 2013. [DOI: 10.1021/ie402418e] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Affiliation(s)
- Hugo Jiménez-Islas
- Departamento de Ingeniería
Química-Bioquímica, Instituto Tecnológico de Celaya Avenida Tecnológico y Antonio García Cubas s/n, Celaya, Gto. C.P. 38010, México
| | - Gloria M. Martínez-González
- Departamento de Ingeniería
Química-Bioquímica, Instituto Tecnológico de Celaya Avenida Tecnológico y Antonio García Cubas s/n, Celaya, Gto. C.P. 38010, México
| | - José L. Navarrete-Bolaños
- Departamento de Ingeniería
Química-Bioquímica, Instituto Tecnológico de Celaya Avenida Tecnológico y Antonio García Cubas s/n, Celaya, Gto. C.P. 38010, México
| | - José E. Botello-Álvarez
- Departamento de Ingeniería
Química-Bioquímica, Instituto Tecnológico de Celaya Avenida Tecnológico y Antonio García Cubas s/n, Celaya, Gto. C.P. 38010, México
| | - J. Manuel Oliveros-Muñoz
- Departamento de Ingeniería
Química-Bioquímica, Instituto Tecnológico de Celaya Avenida Tecnológico y Antonio García Cubas s/n, Celaya, Gto. C.P. 38010, México
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Oliveros-Muñoz JM, Jiménez-Islas H. Hyperspherical path tracking methodology as correction step in homotopic continuation methods. Chem Eng Sci 2013. [DOI: 10.1016/j.ces.2013.03.053] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Finding all real solutions of nonlinear systems of equations with discontinuities by a modified affine arithmetic. Comput Chem Eng 2013. [DOI: 10.1016/j.compchemeng.2012.08.002] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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5
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A new Newton homotopy based method for the robust determination of all the stationary points of the tangent plane distance function. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2012.08.037] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Kangas J, Malinen I, Tanskanen J. Modified Bounded Homotopies in the Solving of Phase Stability Problems for Liquid–Liquid Phase-Splitting Calculations. Ind Eng Chem Res 2011. [DOI: 10.1021/ie101907h] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jani Kangas
- Department of Process and Environmental Engineering, University of Oulu, P.O. Box 4300, FI-90014 University of Oulu Finland
| | - Ilkka Malinen
- Department of Process and Environmental Engineering, University of Oulu, P.O. Box 4300, FI-90014 University of Oulu Finland
| | - Juha Tanskanen
- Department of Process and Environmental Engineering, University of Oulu, P.O. Box 4300, FI-90014 University of Oulu Finland
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7
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Homotopy parameter bounding in increasing the robustness of homotopy continuation methods in multiplicity studies. Comput Chem Eng 2010. [DOI: 10.1016/j.compchemeng.2010.03.013] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Malinen I, Tanskanen J. Thermally Coupled Side-Column Configurations Enabling Distillation Boundary Crossing. 1. An Overview and a Solving Procedure. Ind Eng Chem Res 2009. [DOI: 10.1021/ie800817n] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ilkka Malinen
- Chemical Process Engineering Laboratory, Department of Process and Environmental Engineering, P.O. Box 4300, FI-90014, University of Oulu, Finland
| | - Juha Tanskanen
- Chemical Process Engineering Laboratory, Department of Process and Environmental Engineering, P.O. Box 4300, FI-90014, University of Oulu, Finland
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