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Other references: check the webpage of the course for other related books. Course description : The topics include a survey of numerical methods for IVPs, shooting methods, collocation methods and finite difference methods. A presentation of one or more particular areas of difficulty, such as singular perturbation problems, bifurcation problems or parameter… (More)

- Chapter, R M M Mattheij, S W Rienstra, J H M Ten, Thije Boonkkamp
- 2005

In this chapter we give a brief introduction to PDEs. In Section 1.1 some simple problems that arise in real-life phenomena are derived. (A more detailed derivation of such problems will follow in later chapters.) We show by a number of examples how they may often be seen as continuous analogues of discrete formulations (i.e., based on difference… (More)

- Bratislav Tasic, Robert M. M. Mattheij
- Applied Mathematics and Computation
- 2004

This paper is concerned with finding numerical solutions of a flow of ODE solutions. It describes a new method, based on Euler Backward method and interpolation , for finding solutions of autonomous problems. The special aspect is that this method is explicit, and resolves the flow with similar accuracy as Euler Backward method, even when the problem is… (More)

- U M Ascher, R M M Mattheij, +9 authors H J Pesch

Numerical solution of boundary value problems for ordinary differential equations. Adaptive finite element methods for optimal control of partial differential equations: basic concepts. Abort landing in windshear: An optimal control problem with third-order state constraint and varied switching structure. A multiple shooting algorithm for direct solution of… (More)

- M E Rudnaya, R M M Mattheij, J M L Maubach
- Journal of microscopy
- 2010

Fast and reliable autofocus techniques are an important topic for automated scanning electron microscopy. In this paper, different autofocus techniques are discussed and applied to a variety of experimental through-focus series of scanning electron microscopy images with different geometries. The procedure of quality evaluation is described, and for a… (More)

A simultaneous autofocus and twofold astigmatism correction method for electron microscopy is described. The method uses derivative-free optimization in order to find a global optimum of an image variance, which is an image quality measure. The Nelder-Mead simplex method and the Powell interpolation-based trust-region method are discussed and compared for… (More)

- Arie Verhoeven, Jan ter Maten, Michael Striebel, Robert M. M. Mattheij
- System Modelling and Optimization
- 2007

Model order reduction is a mathematical technique to transform nonlin-ear dynamical models into smaller ones, that are easier to analyze. In this paper we demonstrate how model order reduction can be applied to nonlinear electronic circuits. First we give an introduction to this important topic. For linear time-invariant systems there exist already some… (More)

- M E Rudnaya, W Van den Broek, R M P Doornbos, R M M Mattheij, J M L Maubach
- Ultramicroscopy
- 2011

A new simultaneous autofocus and twofold astigmatism correction method is proposed for High Angle Annular Dark Field Scanning Transmission Electron Microscopy (HAADF-STEM). The method makes use of a modification of image variance, which has already been used before as an image quality measure for different types of microscopy, but its use is often justified… (More)

- Meso Micro Macro, P M A Sloot, +14 authors K G Langedoen
- 2007

- S H M J Houben, Way, W H A Schilders, R M M Mattheij, J M L Maubach
- 1999

Designers of electric circuits are often interested in the behaviour of the designed circuits after turn-on effects have damped out. The traditional way to compute this long-term behaviour is by simulating the electric circuit over a large time interval. However, when the turn-on effects damp out slowly, the computational costs may become prohibitive. Many… (More)