One-step and extrapolation methods for differential- algebraic systems
Numerische Mathematik
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Dynamic sparsing in stiff extrapolation methods
IMPACT of Computing in Science and Engineering
Numerical methods and software for sensitivity analysis of differential-algebraic systems
Applied Numerical Mathematics
Efficient sensitivity analysis of large-scale differential-algebraic systems
Applied Numerical Mathematics
Practical methods for optimal control using nonlinear programming
Practical methods for optimal control using nonlinear programming
Design of new Daspk for Sensitivity Analysis
Design of new Daspk for Sensitivity Analysis
Parameter estimation and accuracy matching strategies for 2-D reactor models
Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller
Parameter estimation and accuracy matching strategies for 2-D reactor models
Journal of Computational and Applied Mathematics - Special issue on the method of lines: Dedicated to Keith Miller
SIAM Journal on Scientific Computing
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In this work we present an approach for the sensitivity analysis of linearly-implicit differential-algebraic equation systems. Solutions for both states and sensitivities are obtained by applying an extrapolated linearly implicit Euler discretization scheme. This approach is compared to the widely used sensitivity extensions of multistep BDF methods by means of case studies. Especially, we point out the benefit of this method in the context of dynamic optimization using the sequential approach.