Edit Profile (opens in new tab) Schilders, Wil H. A. Co-Author Distance Author ID: schilders.wil-h-a Published as: Schilders, Wil; Schilders, W. H. A.; Schilders, Wil H. A.; Schilders, W. more...less Documents Indexed: 48 Publications since 1980, including 3 Books and 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 45 Co-Authors with 33 Joint Publications 1,376 Co-Co-Authors all top 5 Co-Authors 8 single-authored 6 Banagaaya, Nicodemus 6 Benner, Peter 6 Doolan, E. P. 5 Heres, Pieter J. 4 Alì, Giuseppe 4 Grivet-Talocia, Stefano 4 Lungten, Sangye 4 Maubach, Joseph M. L. 4 Quarteroni, Alfio M. 4 Rozza, Gianluigi 4 Silveira, Luís Miguel 4 van de Wouw, Nathan 3 Cao, Xingang 3 Iapichino, Laura 3 Miller, John James Henry 3 Tischendorf, Caren 2 Abbasi, M. H. 2 Bansal, Harvir S. 2 Dollar, H. Sue 2 Gould, Nicholas Ian Mark 2 Lutowska, Agnieszka 2 Schoenmaker, Wim 2 Wathen, Andrew John 1 Besselink, Bart 1 Boef, Pascal Den 1 Chabory, Alexandre 1 Ciggaar, E. 1 Ciuprina, Gabriela 1 Dağ, Hasan 1 de Hon, Bastiaan P. 1 Deschrijver, Dirk 1 Dhaene, Tom 1 Günther, Michael 1 Hochstenbach, Michiel E. 1 Ioan, Daniel 1 Janssen, H. H. J. M. 1 Janssens, Erik 1 Maex, Karen 1 Mandeep, Bamal 1 Maubach, Jos 1 Meijer, P. B. L. 1 Meuris, Peter 1 Niehof, J. 1 Pflanzl, Walter 1 Pontes Duff, Igor 1 Rave, Stephan David 1 Schulze, Philipp 1 Scott, Jennifer A. 1 Seebacher, Ehrenfried 1 Stucchi, Michele 1 ten Thije Boonkkamp, Jan H. M. 1 Tijhuis, Anton G. 1 van der Meijs, Nick P. 1 Verschaeve, Michael 1 Weiland, Siep 1 Yetkin, Emrullah Fatih 1 Zwart, Hans J. all top 5 Serials 4 COMPEL 3 Linear Algebra and its Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Journal of Computational Physics 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Numerical Modelling 1 Mathematics in Industry 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematics in Industry all top 5 Fields 33 Numerical analysis (65-XX) 16 Optics, electromagnetic theory (78-XX) 14 Ordinary differential equations (34-XX) 13 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 6 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 147 times in 111 Documents Cited by ▼ Year ▼ Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 449 1980 Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. Zbl 1104.65310 Dollar, H. Sue; Gould, Nicholas I. M.; Schilders, Wil H. A.; Wathen, Andrew J. 24 2006 Using constraint preconditioners with regularized saddle-point problems. Zbl 1124.65033 Dollar, H. S.; Gould, N. I. M.; Schilders, W. H. A.; Wathen, A. J. 20 2007 Introduction to model order reduction. Zbl 1154.93322 Schilders, Wil 19 2008 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Index-aware model order reduction for differential-algebraic equations. Zbl 1298.93096 Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C. 8 2014 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 8 2021 Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 6 1983 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 6 2021 A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems. Zbl 1434.93011 Benner, Peter; Cao, Xingang; Schilders, Wil 6 2019 Index-aware model order reduction: LTI DAEs in electric networks. Zbl 1358.94105 Banagaaya, N.; Schilders, W. H. A.; Alì, G.; Tischendorf, C. 5 2014 Index-aware model order reduction for linear index-2 DAEs with constant coefficients. Zbl 1272.78022 Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C. 5 2013 Solution of indefinite linear systems using an LQ decomposition for the linear constraints. Zbl 1169.65039 Schilders, Wil H. A. 4 2009 Index-aware model order reduction methods. Applications to differential-algebraic equations. Zbl 1350.65082 Banagaaya, N.; Alì, G.; Schilders, W. H. A. 4 2016 Models for integrated components coupled with their EM environment. Zbl 1206.78010 Ioan, Daniel; Schilders, Wil; Ciuprina, Gabriela; van der Meijs, Nick; Schoenmaker, Wim 4 2008 Uniformly convergent difference schemes for stiff initial value problems. Zbl 0511.65056 Doolan, E. P.; Schilders, W. H. A. 3 1980 An exponential fitting scheme for the electrothermal device equations specifically for the simulation of avalanche generation. Zbl 0812.65124 ten Thije Boonkkamp, J. H. M.; Schilders, W. H. A. 3 1993 Combining Krylov subspace methods and identification-based methods for model order reduction. Zbl 1128.93314 Heres, P. J.; Deschrijver, D.; Schilders, W. H. A.; Dhaene, T. 3 2007 Index-aware model order reduction for higher index DAEs. Zbl 1319.65075 Banagaaya, Nicodemus; Schilders, Wil H. A. 3 2014 Port-Hamiltonian formulation of two-phase flow models. Zbl 1478.93238 Bansal, H.; Schulze, P.; Abbasi, M. H.; Zwart, H.; Iapichino, L.; Schilders, W. H. A.; van de Wouw, N. 3 2021 A novel approach to model order reduction for coupled multiphysics problems. Zbl 1308.93051 Schilders, Wil H. A.; Lutowska, Agnieszka 2 2014 Sparse inverse incidence matrices for Schilders’ factorization applied to resistor network modeling. Zbl 1333.65049 Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. 2 2014 Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080 Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil 2 2021 Simulation of electromagnetic descriptor models using projectors. Zbl 1277.78034 Banagaaya, Nicodemus; Schilders, Wil 2 2013 Model order reduction framework for problems with moving discontinuities. Zbl 1470.65179 Bansal, H.; Rave, S.; Iapichino, L.; Schilders, W.; van de Wouw, N. 2 2021 Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 1 1982 Uniform finite difference methods for singularly perturbed initial value problems. Zbl 0522.65052 Schilders, W. H. A. 1 1982 Threshold incomplete factorization constraint preconditioners for saddle-point matrices. Zbl 1390.15045 Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. 1 2018 Advanced numerical techniques in semiconductor device simulation. Zbl 0799.65139 Schilders, W. H. A. 1 1991 Application of exponential fitting techniques to semiconductor device simulation. Zbl 0772.65091 Schilders, W. H. A. 1 1991 Accurate modeling of complete functional RF blocks: CHAMELEON RF. Zbl 1130.78301 Janssen, H. H. J. M.; Niehof, J.; Schilders, W. H. A. 1 2007 Industrial mathematics in Europe. Zbl 1326.01039 Schilders, Wil 1 2014 Sparse block factorization of saddle point matrices. Zbl 1386.65128 Lungten, S.; Schilders, W. H. A.; Maubach, J. M. L. 1 2016 Behavioural modelling using the MOESP algorithm, dynamic neural networks and the Bartels-Stewart algorithm. Zbl 1170.93318 Schilders, W. H. A.; Meijer, P. B. L.; Ciggaar, E. 1 2008 Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions. Zbl 1441.65131 Abbasi, M. H.; Iapichino, L.; Besselink, B.; Schilders, W. H. A.; van de Wouw, N. 1 2020 Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004 11 2021 Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001 8 2021 Model order reduction: basic concepts and notation. Zbl 1480.93046 Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel 6 2021 Port-Hamiltonian formulation of two-phase flow models. Zbl 1478.93238 Bansal, H.; Schulze, P.; Abbasi, M. H.; Zwart, H.; Iapichino, L.; Schilders, W. H. A.; van de Wouw, N. 3 2021 Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080 Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil 2 2021 Model order reduction framework for problems with moving discontinuities. Zbl 1470.65179 Bansal, H.; Rave, S.; Iapichino, L.; Schilders, W.; van de Wouw, N. 2 2021 Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions. Zbl 1441.65131 Abbasi, M. H.; Iapichino, L.; Besselink, B.; Schilders, W. H. A.; van de Wouw, N. 1 2020 A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems. Zbl 1434.93011 Benner, Peter; Cao, Xingang; Schilders, Wil 6 2019 Threshold incomplete factorization constraint preconditioners for saddle-point matrices. Zbl 1390.15045 Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. 1 2018 Index-aware model order reduction methods. Applications to differential-algebraic equations. Zbl 1350.65082 Banagaaya, N.; Alì, G.; Schilders, W. H. A. 4 2016 Sparse block factorization of saddle point matrices. Zbl 1386.65128 Lungten, S.; Schilders, W. H. A.; Maubach, J. M. L. 1 2016 Index-aware model order reduction for differential-algebraic equations. Zbl 1298.93096 Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C. 8 2014 Index-aware model order reduction: LTI DAEs in electric networks. Zbl 1358.94105 Banagaaya, N.; Schilders, W. H. A.; Alì, G.; Tischendorf, C. 5 2014 Index-aware model order reduction for higher index DAEs. Zbl 1319.65075 Banagaaya, Nicodemus; Schilders, Wil H. A. 3 2014 A novel approach to model order reduction for coupled multiphysics problems. Zbl 1308.93051 Schilders, Wil H. A.; Lutowska, Agnieszka 2 2014 Sparse inverse incidence matrices for Schilders’ factorization applied to resistor network modeling. Zbl 1333.65049 Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. 2 2014 Industrial mathematics in Europe. Zbl 1326.01039 Schilders, Wil 1 2014 Index-aware model order reduction for linear index-2 DAEs with constant coefficients. Zbl 1272.78022 Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C. 5 2013 Simulation of electromagnetic descriptor models using projectors. Zbl 1277.78034 Banagaaya, Nicodemus; Schilders, Wil 2 2013 Solution of indefinite linear systems using an LQ decomposition for the linear constraints. Zbl 1169.65039 Schilders, Wil H. A. 4 2009 Introduction to model order reduction. Zbl 1154.93322 Schilders, Wil 19 2008 Models for integrated components coupled with their EM environment. Zbl 1206.78010 Ioan, Daniel; Schilders, Wil; Ciuprina, Gabriela; van der Meijs, Nick; Schoenmaker, Wim 4 2008 Behavioural modelling using the MOESP algorithm, dynamic neural networks and the Bartels-Stewart algorithm. Zbl 1170.93318 Schilders, W. H. A.; Meijer, P. B. L.; Ciggaar, E. 1 2008 Using constraint preconditioners with regularized saddle-point problems. Zbl 1124.65033 Dollar, H. S.; Gould, N. I. M.; Schilders, W. H. A.; Wathen, A. J. 20 2007 Combining Krylov subspace methods and identification-based methods for model order reduction. Zbl 1128.93314 Heres, P. J.; Deschrijver, D.; Schilders, W. H. A.; Dhaene, T. 3 2007 Accurate modeling of complete functional RF blocks: CHAMELEON RF. Zbl 1130.78301 Janssen, H. H. J. M.; Niehof, J.; Schilders, W. H. A. 1 2007 Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems. Zbl 1104.65310 Dollar, H. Sue; Gould, Nicholas I. M.; Schilders, Wil H. A.; Wathen, Andrew J. 24 2006 An exponential fitting scheme for the electrothermal device equations specifically for the simulation of avalanche generation. Zbl 0812.65124 ten Thije Boonkkamp, J. H. M.; Schilders, W. H. A. 3 1993 Advanced numerical techniques in semiconductor device simulation. Zbl 0799.65139 Schilders, W. H. A. 1 1991 Application of exponential fitting techniques to semiconductor device simulation. Zbl 0772.65091 Schilders, W. H. A. 1 1991 Uniform numerical methods for problems with initial and boundary layers. (Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem). Transl. from the English. Zbl 0527.65058 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 6 1983 Corrections to the monograph ”Uniform numerical methods for problems with initial and boundary layers”. Zbl 0511.65055 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 1 1982 Uniform finite difference methods for singularly perturbed initial value problems. Zbl 0522.65052 Schilders, W. H. A. 1 1982 Uniform numerical methods for problems with initial and boundary layers. Zbl 0459.65058 Doolan, E. P.; Miller, J. J. H.; Schilders, W. H. A. 449 1980 Uniformly convergent difference schemes for stiff initial value problems. Zbl 0511.65056 Doolan, E. P.; Schilders, W. H. A. 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 242 Authors 12 Benner, Peter 9 Schilders, Wil H. A. 7 Banagaaya, Nicodemus 6 Rozza, Gianluigi 5 Gondzio, Jacek 5 Morini, Benedetta 4 Bellavia, Stefania 4 De Simone, Valentina 4 di Serafino, Daniela 4 Feng, Lihong 4 Grundel, Sara M. 4 Gugercin, Serkan 4 Jiang, Yaolin 4 Simoncini, Valeria 3 Alì, Giuseppe 3 Lungten, Sangye 3 Maubach, Joseph M. L. 3 Pestana, Jennifer 2 Ballarin, Francesco 2 Casacio, Luciana 2 D’Apuzzo, Marco 2 Fehr, Jörg 2 Girfoglio, Michele 2 Gosea, Ion Victor 2 Grunert, Dennis 2 Haasdonk, Bernard 2 Hess, Martin Wilfried 2 Lyra Filho, Christiano 2 Mlinarić, Petar 2 Oliveira, Aurelio Ribeiro Leite 2 Pearson, John W. 2 Peitz, Sebastian 2 Petra, Cosmin G. 2 Pontes Duff, Igor 2 Pulch, Roland 2 Qi, Zhen-Zhong 2 Stabile, Giovanni 2 Stykel, Tatjana 2 Tischendorf, Caren 2 van de Wouw, Nathan 2 Werner, Steffen W. R. 2 Xiao, Zhihua 1 Absil, Pierre-Antoine 1 Aguado, Jose Vicente 1 Ahmad, Mian Ilyas 1 Akram, Namra 1 Alam, Mehboob 1 Ali, Asghar 1 Alireza Mirhoseini, Marzieh 1 Anitescu, Mihai 1 Antonini, Giulio 1 Antoulas, Athanasios C. 1 Asif, Mian Mohammad Arsalan 1 Askri, Ramzi 1 Astolfi, Alessandro 1 Augustin, Florian 1 Bansal, Harvir S. 1 Barabinot, Philippe 1 Beccari, Andrea Rosario 1 Bekemeyer, Philipp 1 Bendokat, Thomas 1 Berenguel, Manuel 1 Bergamaschi, Luca 1 Beschi, Manuel 1 Besselink, Bart 1 Bhatt, Ashish 1 Birouche, Abderazik 1 Bischoff, Manfred 1 Bonanni, Domenico 1 Borzacchiello, Domenico 1 Bouklas, Nikolaos 1 Braukmüller, Maike 1 Brüls, Olivier 1 Buchan, Andrew G. 1 Caccamo, Marco 1 Cafieri, Sonia 1 Cao, Xi-Ren 1 Cao, Xingang 1 Castelletto, Nicola 1 Castro, Cecilia Orellana 1 Chen, Jiun-Shyan 1 Cheng, Fangxiong 1 Cheng, Guo 1 Chiang, Naiyuan 1 Clees, Tanja 1 Comas-Cardona, Sébastien 1 Condon, Marissa 1 Correnty, Siobhán 1 Cugnon, Frederic 1 Darve, Eric 1 Dashkovskiy, Sergey N. 1 de Magistris, Massimiliano 1 De Tommasi, Luciano 1 Dellnitz, Michael 1 Delsemme, Jean-Pierre 1 Deng, Nan 1 Deschrijver, Dirk 1 Dhaene, Tom 1 Diaz, Alejandro N. 1 Discetti, Stefano ...and 142 more Authors all top 5 Cited in 50 Serials 8 Computational Optimization and Applications 6 Computer Methods in Applied Mechanics and Engineering 5 International Journal for Numerical Methods in Engineering 4 Computers & Mathematics with Applications 4 International Journal of Control 4 Journal of Computational Physics 4 Linear Algebra and its Applications 4 Numerical Linear Algebra with Applications 4 Advances in Computational Mathematics 3 Journal of the Franklin Institute 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Scientific Computing 2 Computers and Fluids 2 Applied Mathematics and Computation 2 Automatica 2 Calcolo 2 Mathematics and Computers in Simulation 2 COMPEL 2 Journal of Scientific Computing 2 Numerical Algorithms 2 International Journal of Robust and Nonlinear Control 2 Numerical Algebra, Control and Optimization 2 Journal of Mathematics in Industry 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Computers & Operations Research 1 Journal of Global Optimization 1 Automation and Remote Control 1 European Journal of Operational Research 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Computational and Applied Mathematics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Numerical Modelling 1 Dynamical Systems 1 4OR 1 Acta Numerica 1 GAMM-Mitteilungen 1 Networks and Heterogeneous Media 1 GEM - International Journal on Geomathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 30 Fields 63 Numerical analysis (65-XX) 26 Systems theory; control (93-XX) 22 Operations research, mathematical programming (90-XX) 14 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 10 Optics, electromagnetic theory (78-XX) 8 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year