Dr. Niket Kaisare is currently an Associate Professor in the Department of Chemical Engineering at IIT-Madras. He obtained PhD in Chemical Engineering from Georgia Institute of Technology, working in model-based advanced process control. After a post-doc in the department of chemical engineering at University of Delaware, he joined IIT-Madras as Assistant Professor in 2007. While in IIT-Madras, he taught several courses in process modeling and analysis, computational techniques, process simulation laboratory, and advanced control theory. His courses have consistently gotten good student feedback.He spent three years, from mid-2011 to 2014, in Industrial R&D. During this stint, he worked on numerous simulation problems related to modeling of vehicle catalytic convertors, cryogenic hydrogen storage, monitoring and control of oil and gas wells, and automation engineering. As a part of R&D team, he used MATLAB extensively and spent important fraction of his time interfacing with engineering and development teams.He has extensive experience working in MATLAB and FORTRAN as well as simulation software Fluent and Comsol. He also has good working experience with various other simulation tools, such as Aspen-Plus / Unisim, Gaussian and Abacus. His current research program is focused on "multi-scale modeling, analysis and control of catalytic micro-reactors for energy and fuel processing applications."

• Chapter 1 IntroductionSection I Dynamic Simulations and Linear AnalysisChapter 2 Linear AlgebraChapter 3 Ordinary Differential Equations: Explicit MethodsChapter 4 Partial Differential Equations in TimeChapter 5 Section Wrap-Up: Simulation and AnalysisSection II Linear and Nonlinear Equations and BifurcationChapter 6 Nonlinear Algebraic EquationsChapter 7 Special Methods for Linear and Nonlinear EquationsChapter 8 Implicit Methods: Differential and Differential AlgebraicSystemsChapter 9 Section Wrap-Up: Nonlinear AnalysisSection III Modeling of DataChapter 10 Regression and Parameter Estimation

Dr. Niket Kaisare is currently an Associate Professor in the Department of Chemical Engineering at IIT-Madras. He obtained PhD in Chemical Engineering from Georgia Institute of Technology, working in model-based advanced process control. After a post-doc in the department of chemical engineering at University of Delaware, he joined IIT-Madras as Assistant Professor in 2007. While in IIT-Madras, he taught several courses in process modeling and analysis, computational techniques, process simulation laboratory, and advanced control theory. His courses have consistently gotten good student feedback.He spent three years, from mid-2011 to 2014, in Industrial R&D. During this stint, he worked on numerous simulation problems related to modeling of vehicle catalytic convertors, cryogenic hydrogen storage, monitoring and control of oil and gas wells, and automation engineering. As a part of R&D team, he used MATLAB extensively and spent important fraction of his time interfacing with engineering and development teams.He has extensive experience working in MATLAB and FORTRAN as well as simulation software Fluent and Comsol. He also has good working experience with various other simulation tools, such as Aspen-Plus / Unisim, Gaussian and Abacus. His current research program is focused on "multi-scale modeling, analysis and control of catalytic micro-reactors for energy and fuel processing applications."

• Chapter 1 IntroductionSection I Dynamic Simulations and Linear AnalysisChapter 2 Linear AlgebraChapter 3 Ordinary Differential Equations: Explicit MethodsChapter 4 Partial Differential Equations in TimeChapter 5 Section Wrap-Up: Simulation and AnalysisSection II Linear and Nonlinear Equations and BifurcationChapter 6 Nonlinear Algebraic EquationsChapter 7 Special Methods for Linear and Nonlinear EquationsChapter 8 Implicit Methods: Differential and Differential AlgebraicSystemsChapter 9 Section Wrap-Up: Nonlinear AnalysisSection III Modeling of DataChapter 10 Regression and Parameter Estimation