Publikationen - Prof. Dr. Andrea Walther
Bücher
- K. Fackeldey, A. Kannan, S. Pokutta, K. Sharma, D. Walter, A. Walther und M. Weiser (Eds.). Mathematical Optimization for Machine Learning (Proceedings des MATH+ TES im Sommersemester 2023), de Gruyter, erscheint in 2025.
- S. Forth, P. Hovland, E. Phipps, J. Utke und A. Walther (Eds.). Recent Advances in Algorithmic Differentiation (Proceedings der AD 2012 Konferenz). Lecture Notes in Computational Science and Engineering, Vol. 87 (2012).
- A. Griewank und A. Walther: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Second Edition. SIAM (2008).
Preprints
- R. Kuess und A. Walther: On regularized structure exploiting Quasi-Newton methods for ill-posed problems. Eingereicht, hier verfügbar.
- L. Baumgärtner, F. Bethke, G. Shyshkanova und A. Walther: How Stringent is the Linear Independence Kink Qualification in Abs-Smooth Optimization? Eingereicht, hier verfügbar.
- A. Wiertz, A. Walther und G. Zöttl: Strategic retailers in the energy sector. In Überarbeitung.
- O. Sander und A. Walther: Two-phase calculation of second derivatives for fixed-point iterations. In Überarbeitung.
- R. Tannenberg, C. Hochkirch, A. Walther, S. Turnock und S. Boyd: Development of an adjoint system-based hydrofoil optimisation framework using algorithmic differentiation. In Überarbeitung.
- S. Tadinada, T. Siebert, J. Fuhrmann, S. Pokutta und A. Walther: An AD-enabled Frank-Wolfe method for non-smooth optimization. In Überarbeitung.
- A. Hnatiuk, N. R. Gauger, J. Kusch, L. Kusch und A. Walther: Stochastic aspects of dynamical low-rank approximation in the context of machine learning. In Überarbeitung, hier verfügbar.
- A. Kannan, T. Kreimeier und A. Walther: On solving nonsmooth retail portfolio maximization problem using active signature methods. In Überarbeitung, hier verfügbar.
Artikel in Journalen
- F. Binkowski, J. Kullig, F. Betz, L. Zschiedrich, A. Walther, J. Wiersig und S. Burger: Computing eigenfrequency sensitivities near exceptional points. Erscheint in Physical Review Research.
- T. Kreimeier, S. Pokutta, A. Walther und Z. Woodstock: On a Frank-Wolfe Approach for Abs-smooth Functions. Erscheint in Optimization Methods and Software.
- F. Bethke, A. Griewank und A. Walther: A semismooth conjugate gradients method — Theoretical Analysis. Optimization Methods and Software 39(4):911-935 (2024).
- Learning from small data sets: Patch-based regularizers in inverse problems for image reconstruction, GAMM-Mitteilungen 47(4):e202470002 (2024). , , , , und
- J. Bulling, B. Jurgelucks, J. Prager und A. Walther: Experimental validation of an inverse method for defect reconstruction in a two-dimensional waveguide model. Journal of the Acoustical Society of America 155, 3794–3806 (2024).
- L. Claes, N. Feldmann, V. Schulze, L. Meihost, H. Kuhlmann, B. Jurgelucks, A. Walther und B. Henning: Inverse procedure for measuring piezoelectricmaterial parameters using a single, multi-electrode sample. Journal of Sensors and Sensor Systems 12(1):163-173 (2023).
- V. Rengaraj, S. Jost, F. Bethke, C. Plessl, H. Mirhosseini, A. Walther und T. Kühne: A two-step machine learning method for predicting the thermodynamic stability of ternary compounds. Computation, Section Computational Chemistry 11(5):95 (2023).
- J. Bulling, B. Jurgelucks, J. Prager und A. Walther: Defect reconstruction in a 2D semi-analytical waveguide model via derivative-based optimization. Journal of the Acoustical Society 152(2):1217-1229 (2022).
- O. Weiß und A. Walther: A Structure Exploiting Algorithm for Non-Smooth Semi-Linear Elliptic Optimal Control Problems. Surveys in Mathematics and its Applications 17:139-179 (2022).
- T. Praschan, D. Heinze, D. Breddermann, A. Zrenner, A. Walther und S. Schumacher: Pulse shaping for on-demand emission of single Raman photons from a quantum-dot biexciton. Physical Review B 105:045302 (2022).
- A. Walther, O. Weiß, A. Griewank und S. Schmidt: Nonsmooth Optimization by Successive Abs-Linearisation in Function Spaces. Applicable Analysis 101:.225-240 (2022).
- N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, L. Meihost, A. Walther und B. Henning: Modelling damping in piezoceramics: A comparative study. Technisches Messen 88:294–302 (2021).
- N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, A. Walther und B. Henning: Inverse piezoelectric material parameter characterization using a single disc-shaped specimen. Technisches Messen 87:50-55 (2020).
- A. Griewank und A. Walther: Polyhedral DC decomposition and DCA optimization of piecewise linear functions. Algorithms 13(7), 166 (2020).
- M. Banović, I. Vasilopoulos, A. Walther und M. Meyer: Algorithmic differentiation of an industrial airfoil design tool coupled with the adjoint CFD method. Optimization and Engineering 21:1221-1242 (2020).
- A. Gebremedhin und A. Walther: An Introduction to Algorithmic Differentiation. WIREs Data Mining and Knowledge Discovery 10(1):e1334 (2020).
- S. Fiege, A. Walther und A. Griewank: An algorithm for nonsmooth optimization by successive piecewise linearization. Mathematical Programming 177(1-2):343-370 (2019).
- A. Walther und A. Griewank: Characterizing and testing subdifferential regularity for piecewise smooth objective functions. SIAM Journal on Optimization 29(2):1473-1501 (2019).
- K. Eppler, H. Harbrecht, S. Schlenkrich und A. Walther: Exterior Electromagnetic Shaping: AD-based Computation of Shape Derivatives. Journal of Mathematics Study 52(3):227-243 (2019).
- A. Griewank und A. Walther: Finite convergence of an active signature method to local minima of piecewise linear functions. Optimization Methods and Software 34(5):1035-1055 (2019).
- N. Feldmann, B. Jurgelucks, L. Claes, V. Schulze, B. Henning und A. Walther: An inverse approach to the characterisation of material parameters of piezoelectric discs with triple-ring-electrodes. Technisches Messen, 86(2):59-65 (2019).
- D. Richters, M. Lass, A. Walther, C. Plessl und T. Kühne: A general algorithm to calculate the inverse principal p-th root of symmetric positive definite matrices. Communications in Computational Physics, 25(2):564-585 (2019).
- A. Griewank und A. Walther: Relaxing kink qualifications and proving convergence rates in piecewise smooth optimization. SIAM Journal on Optimization, 29(1):262–289 (2019).
- O. Mykhaskiv, J.-D. Müller, P. Mohanamuraly, M. Banovic, A. Walther, S. Auriemma und H. Legrand: NURBS-based and Parametric-based Shape Optimisation with Differentiated CAD Kernel. Computer-Aided Design and Applications, 15(6):916-926 (2018).
- A. Walther, L. Kusch und N. Gauger: New Results for the Handling of Additional Equality Constraints in One-Shot Optimization. Vietnam Journal of Mathematics, 46:825-836 (2018).
- L. Kusch, T. Albring, A. Walther und N.R. Gauger: A one-shot optimization framework with additional equality constraints applied to multi-objective aerodynamic shape optimization. Optimization Methods and Software, 33(4-6):694-707 (2018).
- B. Jurgelucks, L. Claes, A. Walther und B. Henning: Optimisation of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation. Optimization Methods and Software, 33(4-6):868-888 (2018).
- M. Banovic, O. Mykhaskiv, S. Auriemma, A. Walther, H. Legrand und J.-D. Müller: Automatic differentiation of the Open CASCADE Technology CAD system and its coupling with an adjoint CFD Solver. Optimization Methods and Software, 33(4-6):813-828 (2018).
- S. Fiege, A. Walther, K. Kulshreshtha und A. Griewank: Algorithmic differentiation for piecewise smooth functions: A case study for robust optimization. Optimization Methods and Software, 33(4-6):1073-1088 (2018).
- S. Schmidt, M. Schütte und A. Walther: Efficient numerical solution of geometric inverse problems involving Maxwell's equations using shape derivatives and automatic code generation. SIAM Journal of Scientific Computing, 40(2):B405-B428 (2018).
- A. Griewank und A. Walther: First and second order optimality conditions for piecewise smooth objective functions. Optimization Methods and Software, 31(5):904-930 (2016).
- A. Walther, N. Gauger, L. Kusch und N. Richert: On an extension of one-shots methods to incorporate additional constraints. Optimization Methods and Software, 31(3):494-510 (2016).
- A. Griewank, A. Walther, S. Fiege und T. Bosse: On Lipschitz optimization based on gray-box piecewise linearization. Mathematical Programming Series A, 158(1):383-415 (2016).
- A. Walther und L. Biegler: On an inexact trust-region SQP-filter method for constrained nonlinear optimization. Computational Optimization and Applications, 63(3):613-638 (2016).
- S. Hegler, C. Statz, M. Mütze, H. Mooshofer, M. Goldammer, K. Fendt, S. Schwarzer, K. Feldhoff, M. Flehmig, U. Markwardt, W. Nagel, M. Schütte, A. Walther, M. Meinel, A. B. und Dirk Plettemeier: Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen für große zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung. Technisches Messen, 82(9):414-475 (2015).
- F. Bause, A. Walther, J. Rautenberg und B. Henning: Reliable computation of roots in analytical waveguide modelling using an interval-Newton approach and algorithmic differentiation. Transaction on Ultrasonics, Ferroelectrics, and Frequency Control 60(12):2597-2606 (2013).
- N. Gauger, A. Walther, E. Özkaya und C. Moldenhauer: Efficient aerodynamic shape optimization by structure exploitation. Optimization and Engineering 13(4):563-578 (2012).
- A. Walther, R. Vetukuri und L. Biegler: A first-order convergence analysis of trust-region methods with inexact Jacobians and inequality constraints. Optimisation Methods and Software 27(2):373-389 (2012).
- A. Griewank, K. Kulshreshtha und A. Walther: On the numerical stability of algorithmic differentiation. Computing 94:125-149 (2012).
- A. Walther und L. Biegler: Numerical experiments with an inexact Jacobian trust-region algorithm. Journal of Computational Optimization and Applications 48(2):255- 271 (2011).
- R. Vetukuri, L. Biegler und A. Walther: An Inexact Trust-Region Algorithm for the Optimization of Periodic Adsorption Processes. Industrial & Engineering Chemistry Research 49:12004–12013 (2010).
- M. Diehl, A. Walther, H. G. Bock und E. Kostina: An adjoint-based SQP algorithm with quasi-Newton Jacobian updates for inequality constrained optimization. Optimization Methods and Software 25(4):531-552 (2010).
- P. Stumm und A. Walther: New Algorithms for Optimal Online Checkpointing. SIAM Journal on Scientific Computing 32(2):836-854 (2010).
- M. Wagner, B.-J. Schaefer und A. Walther: On the efficient computation of high-order derivatives for implicitly defined functions. Computer Physics Communications 181:756-764 (2010).
- S. Schlenkrich, A. Griewank und A. Walther: On the local convergence of adjoint Broyden methods. Mathematical Programming 121(2):221-247 (2010).
- A. Gebremedhin, A. Pothen, A. Tarafdar und A. Walther: Efficient Computation of Sparse Hessians Using Coloring and Automatic Differentiation. INFORMS Journal on Computing 21(2):209-223 (2009).
- P. Stumm und A. Walther: Multi-stage Approaches for Optimal Offline Checkpointing. SIAM Journal of Scientific Computing 31(3):1946-1967 (2009).Constrained Piecewise Linear Optimization by an Active Signature Method
- S. Schlenkrich und A. Walther: Global convergence of quasi--Newton methods based on Adjoint Tangent Rank-1 updates. Applied Numerical Mathematics 59(5):1120-1136 (2009).
- A. Walther: A first-order convergence analysis of trust-region methods with inexact Jacobians. SIAM Journal on Optimization 19(1):307-325 (2008).
- A. Griewank, S. Schlenkrich und A. Walther: A quasi-Newton method with optimal R-order without independence assumption. Optimization Methods and Software 23(2):215-225 (2008).
- A. Walther: Computing Sparse Hessians with Automatic Differentiation. Transaction on Mathematical Software 34(1), Article 3 (15 pages) (2008).
- A. Griewank, A. Walther und M. Korzec: Maintaining factorized KKT Systems subject to Rank-one Updates of Hessians and Jacobians. Optimization Methods and Software 22(2):279-295 (2007).
- A. Walther: Automatic differentiation of explicit Runge-Kutta methods for optimal control. Journal of Computational Optimization and Applications 36:83-108 (2007).
- A. Noack und A. Walther: Adjoint concepts for the optimal control of Burgers equation. Journal of Computational Optimization and Applications 36:109-133 (2007).
- M. Hinze, A. Walther und J. Sternberg: An optimal memory-reduced procedure for calculating adjoints of the instationary Navier-Stokes equations. Optimal Control Applications and Methods 27(1):19-40 (2006).
- R. Griesse und A. Walther: Evaluating Gradients in Optimal Control - Continuous Adjoints versus Automatic Differentiation. Journal of Optimization Theory and Applications 122(1):63-86 (2004).
- A. Walther: Bounding the number of processes and checkpoints needed in time-minimal parallel reversal schedules. Computing 731:35-154 (2004).
- A. Griewank und A. Walther: How up-to-date are low-rank updates? Rev. Invest. Oper. 25:137-147 (2004).
- A. Walther: Program reversals for evolutions with non-uniform step costs. Acta Informatica 40:235-263 (2004).
- R. Griesse und A. Walther: Parametric Sensitivities for Optimal Control Problems using Automatic Differentiation. Optimal Control Applications and Methods 24(6):297-314 (2003).
- A. Griewank und A. Walther: On constrained optimization by adjoint based quasi-Newton methods. Optimization Methods and Software 17:869-889 (2002).
- A. Griewank und A. Walther: Optimal program execution reversal. Australian Mathematical Society, ANZIAM 42:C627-C652 (2000).
- W. Klein und A. Walther: Application of techniques of computational differentiation to a cooling system. Optimization Methods and Software 13:65-78 (2000).
- A. Griewank, J. Utke und A. Walther: Evaluating higher derivative tensors by forward propagation of univariate Taylor series. Mathematics of Computation 69:1117-1130 (2000).
- A. Griewank und A. Walther: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation. Transaction on Mathematical Software 26:19-45 (2000).
- A. Walther, A. Griewank und A. Best: Multiple vector-Jacobian products are cheap. Applied Numerical Mathematics 30:367-377 (1999).
Artikel in Tagungsbände
- T. Kreimeier, A. Walther und A. Griewank: Constrained Piecewise Linear Optimization by an Active Signature Method. In: Mathematical Optimization for Machine Learning (Proceedings des MATH+ TES im Sommersemester 2023), de Gruyter, erscheint 2025.
- G. Shyshkanova, T. Kreimeier, L. Baumgärtner, F. Bethke und A. Walther: On the nonsmooth regularity condition LIKQ for different abs-normal representations. In: Mathematical Optimization for Machine Learning (Proceedings des MATH+ TES im Sommersemester 2023), de Gruyter, erscheint 2025.
- R. Tannenberg, C. Hochkirch, A. Walther, S. Turnock und S. Boyd: Development of an adjoint VPP-driven hydrofoil optimisation framework. Proceedings of the 8th High Performance Yacht Design Conference (2024).
- G. Shyshkanova und A. Walther: Simple layer potential expansion for optimization of contact interaction taking into account friction and adhesion. Journal of Physics: Conference Series 2675, 012033 (2023).
- G. Shyshkanova und A. Walther: Contact pressure over doubly connected rectangular domains and punch shape optimization. AIP Conf. Proc. 2953, 060002 (2023).
- G. Shyshkanova und A. Walther: Optimization of a punch shape with a doubly connected contact domain. Journal of Physics: Conference Series 2609 (2023) doi:10/1088/1742-6596/2609/1/012009.
- T. Kreimeier, M. Kuchlbauer, F. Liers, M. Stingl und A. Walther: Towards the Solution of Robust Gas Network Optimization Problems Using the Constrained Active Signature Method. Proceedings of INOC 2022, p. 45 - 50 (2022) doi:10.48786/inoc.2022.09.
- L. Claes, N. Feldmann, B. Jurgelucks, V. Schulze, S. Schmidt, A. Walther und B. Henning: Optimised Multi-Electrode Topology for Piezoelectric Material Characterisation. Sensor and Measurement Science International (2021).
- A. Bockhorn, K. Narayanan und A. Walther: Checkpointing Approaches for the Computation of Adjoints Covering Resilience Issues. Proceedings of the SIAM Workshop on Combinatorial Scientific Computing 2020, SIAM, pp. 22-31 (2020).
- S. Auriemma, M. Banovic, A. Walther, O Mykhaskiv und J.-D. Müller: Applications of differentiated CAD kernel in gradient-based aerodynamic shape optimization. Joint Propulsion Conference 2018, American Institute of Aeronautics and Astronautics, 2018-4828 (2018).
- S. Auriemma, M. Banovic, O. Mykhaskiv, H. Legrand, J.-D. Müller, T. Verstraete und A. Walther: Optimisation of a U-bend using a CAD-based adjoint method with differentiated CAD kernel. Proceedings des ECCOMAS Congress 2016 (2016).
- Y. Wang, A.W. Dowling, C. Krieft, A. Walther und L.T. Biegler: Pressure Swing Adsorption Optimization Strategies for CO2 Capture. In: Sustainability of Products, Processes and Supply Chains: Theory and Applications. Computer-Aided Chemical Engineering, 36:197-223 (2015).
- P. Kloke, T. Herken, V. Schöppner, J. Rudloff, K. Kretschmer, P. Heidemeyer, M. Bastian, A. Walther und A. Dridger: Modelling of the glass fiber length and the glass fiber length distribution in the compounding of short glass fiber-reinforced thermoplastics.AIP Conference Proceedings 1593, 39 (2014).
- K. Feldhoff, M. Flehmig, U. Markwardt, W.E. Nagel, M. Schütte und A. Walther: SCADOPT: An Open-source HPC Framework for Solving PDE Constrained Optimization Problems Using AD. Proceedings der 2014 IEEE International Conference on High Performance Computing and Communications (HPCC), pp. 46-53 (2014).
- T. Steinle, J. Vrabec und A. Walther: Numerical Simulation of the Damping Behavior of Particle-Filled Hollow Spheres. Proceedings of HPSC 2012, pp. 233-244 (2014).
- V. Ruge, W. Braun, B. Bachmann, A. Walther und K. Kulshreshtha: Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C. In Proceedings of the 10th Modelica Conference, 1017-1025 (2014). online verfügbar
- F. Bause, C. Unverzagt, A. Walther und B. Henning: Utilizing interval-Newton approach for the reliablecomputation of roots in analytic waveguide modelling. Proceedings of the 2013 International Congress on Ultrasonics 2013, 504-509 (2013).
- M. Reichelt, A. Hildebrandt, A. Walther, J. Förstner und T. Meier: Engineering high harmonic generation in semiconductors via pulse shaping. Proc. SPIE 8260, Ultrafast Phenomena and Nanophotonics XVI, 82601L (2012).
- A. Walther: On the Efficient Computation of Sparsity Patterns for Hessians, Proceedings der AD 2012: Recent Advances in Algorithmic Differentiation, Lecture Notes in Computational Science and Engineering 87:139-149 (2012).
- B. Letschert, K. Kulshreshtha, A. Walther, D. Nguyen, A. Gebremedhin und A. Pothen: Exploiting Sparsity in Automatic Differentiation on Multicore Architectures, Proceedings der AD 2012: Recent Advances in Algorithmic Differentiation, Lecture Notes in Computational Science and Engineering 87: 151-161 (2012).
- M. Reichelt, A. Walther und T. Meier: Tailoring the high-harmonic emission in two-level systems and semiconductors by pulse shaping. Journal of the Optical Society of America B 29:A36–A42 (2012).
- N. Burschäpers, S. Fiege, R. Schuhmann und A. Walther: Sensitivity analysis of waveguide eigenvalue problems. Advances Radio Science 9:85–89, (2011).
- A. Walther, M. Reichelt und T. Meier: Calculus-based Optimization of Nanostructures. Photonics and Nanostructures - Fundamentals and Applications 9(4):328-336 (2011).
- D. Landmann, D. Plettemeier, C. Statz, F. Hoffeins, U. Markwardt, W. Nagel, A. Walther, A. Herique und W. Kofman: Three-dimensional reconstruction of comet nucleus by optimal control of Maxwell's equations: A contribution to the experiment CONSERT onboard space mission ROSETTA. Proceedings IEEE International Radar Conference 2010, Pages 1392-1396 (2010).
- C. Bischof, N. Guertler, A. Kowarz und A. Walther: Parallel reverse mode automatic differentiation for OpenMP programs with ADOL-C. In Chr. Bischof et al., eds., Proceedings AD 2008 conference, LNCSE 64, pp. 163-173, Springer (2008).
- U. Naumann, J. Riehme, J. Stiller und A. Walther: Adjoints for Time-Dependent Optimal Control. In Chr. Bischof et al., eds., Proceedings AD 2008 conference, LNCSE 64, pp. 175-185, Springer (2008).
- A. Gebremedhin, A. Pothen und A. Walther: Exploiting Sparsity in Jacobian Computation via Coloring and Automatic Differentiation: A Case Study in a Simulated Moving Bed Process. In Chr. Bischof et al., eds., Proceedings AD 2008 conference, LNCSE 64, pp. 327-338, Springer (2008).
- P. Stumm, A. Walther, J. Riehme und U. Naumann: Structure-exploiting Automatic Differentiation of Finite Element Discretizations. In Chr. Bischof et al., eds., Proceedings AD 2008 conference, LNCSE 64, pp. 339-349, Springer (2008).
- S. Schlenkrich, A. Walther, N.R. Gauger und R. Heinrich: Differentiating Fixed Point Iterations with ADOL-C: Gradient Calculation for Fluid Dynamics. In H.-G. Bock et al., eds., Proceedings of HPSC 2006, pp. 499-508 (2008).
- A. Kowarz und A. Walther: Parallel Derivative Computation Using ADOL-C. Proceedings PASA 2008, Lecture Notes in Informatics, Vol. 124, pp. 83-92(2008).
- N. Gauger, A. Walther, C. Moldenhauer und M. Widhalm: Automatic differentiation of an entire design chain for aerodynamic shape optimization. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 96, pp. 454-461 (2007).
- A. Kowarz und A. Walther: Efficient calculation of sensitivities for optimization problems. Proceedings of 3th German Polish Conference on Optimization 2005. Discussiones Mathematicae, Differential Inclusions, Control and Optimization 27, pp. 119-134 (2007).
- V. Heuveline und A. Walther: Online checkpointing for parallel adjoint computation in PDEs: Application to goal oriented adaptivity and flow control. In W. Nagel et al., eds., Proceedings of Euro-Par 2006, LNCS 4128, pp. 689-699, Springer (2006).
- A. Kowarz und A. Walther: Optimal Checkpointing for time-stepping procedures. In V. Alexandrov et al., eds., Proceedings of ICCS 2006, LNCS 3994, pp. 541-549, Springer (2006).
- A. Griewank und A. Walther: On the efficient generation of Taylor expansions for DAE solutions by automatic differentiation. In J. Dongarra et al., eds., Proceedings of PARA'04, LNCS 3732, pp. 1089-1098, Springer (2006).
- S. Schlenkrich, A. Walther und A. Griewank: AD-based quasi-Newton-Methods for the integration of stiff ODEs. In M. Bücker et al., eds., Automatic Differentiation - Applications, Theory and Implementations, LNCSE 50, pp. 89-98, Springer (2006).
- A. Walther und A. Griewank: Advantages of binomial checkpointing for memory-reduced adjoint calculations. Numerical Mathematics and Advanced Applications, ENUMATH 2003, Prague. M. Feistauer, V. V. Dolejsi, and P. Knobloch, and K. Najzar, eds., pp. 834-843, Springer (2004).
- A. Walther und A. Griewank: ADOL-C: Computing higher-order derivatives and sparsity patterns for functions written in C/C++. Proceeding of ECCOMAS Conference, P. Neittaanmäaki et al., eds., Paper 577 (14 pages) (2004).
- U. Naumann, J. Utke und A. Walther: An introduction to using and developing software tools for automatic differentiation. Proceeding of ECCOMAS Conference, P. Neittaanmäki et al., eds., Paper 701 (37 pages) (2004).
- R. Griesse und A. Walther: Using AD-generated derivatives in optimal control of an industrial robot. Progress in Industrial Mathematics at ECMI 2002, pp. 127-132, Springer (2004).
- A. Walther und U. Lehmann: Adjoint calculation using time-minimal program reversals for multi-processor machines. In E.W. Sachs and R. Tichatschke, eds., System Modelling and Optimization XX, pp. 317-331, Kluwer (2003).
- U. Lehmann und A. Walther: The implementation and testing of time-minimal and resource-optimal parallel reversal schedules. In ICCS 2002, Proceedings of the International Conference on Computational Science, pp. 1049-1058, Springer (2002).
- W. Klein, A. Griewank und A. Walther: Differentiation methods for industrial strength problems. In Corliss et. al., Automatic Differentiation: From Simulation to Optimization, pp. 3-23, Springer (2001).
- A. Walther und A. Griewank: New results on program reversals. In Corliss et. al., Automatic Differentiation: From Simulation to Optimization, pp. 237-244, Springer (2001).
- A. Walther und A. Griewank: Applying the checkpointing routine treeverse to discretizations of Burgers' equation. In H.-J. Bungartz, F. Durst and C. Zenger, High Performance Scientific and Engineering Computing, Vol. 8 of Lecture Notes in Computational Science and Engineering, pp. 13-24, Springer (1999).
Kapitel in Büchern
- T. Kreimeier, A. Walther und A. Griewank: Constrained piecewise linear optimization by an active signature method. Proceedings of the TES Optimization for Machine Learning (2024).
- G. Shyshkanova, T. Kreimeier, L. Baumgärtner, F. Bethke und A. Walther: On the nonsmooth regularity condition
LIKQ for different abs-normal representations. Proceedings of the TES Optimization for Machine Learning (2024). - O. Weiß, A. Walther und S. Schmidt: Algorithms Based on Abs-Linearization for Non-smooth Optimization with PDE Constraints. In: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization, Springer International Publishing, pp. 377-395 (2022).
- A. Griewank und A. Walther: Beyond the Oracle: Opportunities of Piecewise Differentiation. In N. Karmitsa et al., Numerical nonsmooth optimization, Springer, pp. 331-362 (2020).
- U. Naumann und A. Walther: Combinatorial problems in algorithmic differentiation. In U. Naumann und O. Schenk, Combinatorial Scientific Computing, Chapman-Hall CRC Computational Science, pp. 129-162 (2012).
- A. Walther und A. Griewank: Getting started with ADOL-C. In U. Naumann und O. Schenk, Combinatorial Scientific Computing, Chapman-Hall CRC Computational Science, pp. 181-202 (2012).
- P. Stumm, A. Walther und D. Holfeld: Structure exploiting adjoints for finite element discretizations. In G. Leugering et al., Constrained Optimization and Optimal Control for Partial Differential Equations, ISNM160, Birkhäuser, pp.183-196 (2012).
- A. Walther: Wie fliegt ein Flugzeug besser? Oder: moderne Fragestellungen der nichtlinearen Optimierung. In K. Wendland und A. Werner, Facettenreiche Mathematik, Vieweg+Teubner, pp. 391-408 (2011).
Qualifizierungsarbeiten
- A. Walther: Discrete Adjoints: Theoretical Analysis, Efficient Computation, and Applications. Habilitation, TU Dresden, 2007.
- A. Walther: Program Reversal Schedules for Single- and Multi-processor Machines. Promotion, TU Dresden, 2000.
- A. Walther: Modellierung und numerische Simulation von Infrarotsensoren. Diplomarbeit, Uni Bayreuth, 1996.