TY - JOUR A1 - Powell, Gary A1 - Weiser, Martin T1 - Views, A new form of container adaptors JF - C/C++ Users Journal N2 - The C++ standard template library has many useful containers for data. The standard library includes two adpators, queue, and stack. The authors have extended this model along the lines of relational database semantics. Sometimes the analogy is striking, and we will point it out occasionally. An adaptor allows the standard algorithms to be used on a subset or modification of the data without having to copy the data elements into a new container. The authors provide many useful adaptors which can be used together to produce interesting views of data in a container. Y1 - 2000 VL - 18 IS - 4 SP - 40 EP - 51 ER - TY - JOUR A1 - Weiser, Martin A1 - Ghosh, Sunayana T1 - Theoretically optimal inexact SDC methods JF - Communications in Applied Mathematics and Computational Science N2 - In several inital value problems with particularly expensive right hand side evaluation or implicit step computation, there is a trade-off between accuracy and computational effort. We consider inexact spectral deferred correction (SDC) methods for solving such initial value problems. SDC methods are interpreted as fixed point iterations and, due to their corrective iterative nature, allow to exploit the accuracy-work-tradeoff for a reduction of the total computational effort. On one hand we derive error models bounding the total error in terms of the evaluation errors. On the other hand, we define work models describing the computational effort in terms of the evaluation accuracy. Combining both, a theoretically optimal local tolerance selection is worked out by minimizing the total work subject to achieving the requested tolerance. The properties of optimal local tolerances and the predicted efficiency gain compared to simpler heuristics, and a reasonable practical performance, are illustrated on simple numerical examples. Y1 - 2018 U6 - https://doi.org/10.2140/camcos.2018.13.53 IS - 13-1 SP - 53 EP - 86 ER - TY - JOUR A1 - Gellermann, Johanna A1 - Weihrauch, Mirko A1 - Cho, C. A1 - Wlodarczyk, Waldemar A1 - Fähling, Horst A1 - Felix, Roland A1 - Budach, Volker A1 - Weiser, Martin A1 - Nadobny, Johanna A1 - Wust, Peter T1 - Comparison of MR-thermography and planning calculations in phantoms JF - Medical Physics Y1 - 2006 VL - 33 SP - 3912 EP - 3920 ER - TY - JOUR A1 - Gänzler, Tobias A1 - Volkwein, S. A1 - Weiser, Martin T1 - SQP methods for parameter identification problems arising in hyperthermia JF - Optim. Methods Softw. Y1 - 2006 VL - 21 IS - 6 SP - 869 EP - 887 ER - TY - JOUR A1 - Schiela, Anton A1 - Weiser, Martin T1 - Superlinear convergence of the Control Reduced Interior Point Method for PDE Constrained Optimization JF - Computational Optimization and Applications Y1 - 2008 VL - 39 IS - 3 SP - 369 EP - 393 ER - TY - JOUR A1 - Weiser, Martin T1 - Pointwise Nonlinear Scaling for Reaction-Diffusion Equations JF - Appl. Num. Math. Y1 - 2009 VL - 59 IS - 8 SP - 1858 EP - 1869 ER - TY - JOUR A1 - Weihrauch, Mirko A1 - Wust, Peter A1 - Weiser, Martin A1 - Nadobny, Johanna A1 - Eisenhardt, Steffen A1 - Budach, Volker A1 - Gellermann, Johanna T1 - Adaptation of antenna profiles for control of MR guided hyperthermia (HT) in a hybrid MR-HT system JF - Medical Physics Y1 - 2007 VL - 34 IS - 12 SP - 4717 EP - 4725 ER - TY - JOUR A1 - Weiser, Martin T1 - Interior point methods in function space JF - SIAM J. Control Optimization Y1 - 2005 VL - 44 IS - 5 SP - 1766 EP - 1786 ER - TY - JOUR A1 - Volkwein, S. A1 - Weiser, Martin T1 - Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian SQP Methods JF - SIAM J. Control Optim. Y1 - 2002 VL - 41 IS - 3 SP - 875 EP - 899 ER - TY - JOUR A1 - Weiser, Martin A1 - Gänzler, Tobias A1 - Schiela, Anton T1 - A control reduced primal interior point method for a class of control constrained optimal control problems JF - Comput. Optim. Appl. Y1 - 2007 VL - 41 IS - 1 SP - 127 EP - 145 ER -