Prof. dr. R.P. (Rob) Stevenson
Faculteit der Natuurwetenschappen, Wiskunde en Informatica
Korteweg-de Vries Instituut
Bezoekadres
- Science Park 107
- Kamernummer: F3.46
Postadres
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Postbus 94248
1090 GE Amsterdam
Contactgegevens
Social media
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Publicaties
2023
Dahmen, W., Monsuur, H., & Stevenson, R. (2023). Least squares solvers for ill-posed PDEs that are conditionally stable. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2227-2255. https://doi.org/10.1051/M2AN/2023050 [details]- Monsuur, H., & Stevenson, R. (2023). A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. Computers & Mathematics with Applications, 148, 241-255. https://doi.org/10.1016/J.CAMWA.2023.08.013 [details]
- Stevenson, R., & Storn, J. (2023). Interpolation operators for parabolic problems. Numerische Mathematik, 155(1-2), 211-238. https://doi.org/10.1007/s00211-023-01373-9 [details]
2022
- Boehm, U., Cox, S., Gantner, G., & Stevenson, R. (2022). Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions. Bit : numerical mathematics , 62(4), 1355–1382 . Advance online publication. https://doi.org/10.1007/s10543-022-00914-2 [details]
- Dahmen, W., Stevenson, R., & Westerdiep, J. (2022). Accuracy controlled data assimilation for parabolic problems. Mathematics of Computation, 91(334), 557-595. Advance online publication. https://doi.org/10.1090/mcom/3680 [details]
- Stevenson, R., & van Venetië, R. (2022). Operator preconditioning: the simplest case. Applied Numerical Mathematics, 172, 292-299. https://doi.org/10.1016/j.apnum.2021.09.016 [details]
- Stevenson, R., van Venetië, R., & Westerdiep, J. (2022). A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Advances in Computational Mathematics, 48(3), Article 17. https://doi.org/10.1007/s10444-022-09930-w [details]
2021
- Boehm, U., Cox, S., Gantner, G., & Stevenson, R. (2021). Fast solutions for the first-passage distribution of diffusion models with space-time-dependent drift functions and time-dependent boundaries. Journal of Mathematical Psychology, 105, Article 102613. https://doi.org/10.1016/j.jmp.2021.102613 [details]
- Carere, C., Strazzullo, M., Ballarin, F., Rozza, G., & Stevenson, R. P. (2021). A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences. Computers & Mathematics with Applications, 102, 261-276. https://doi.org/10.1016/j.camwa.2021.10.020 [details]
- Gantner, G., & Stevenson, R. (2021). Further results on a space-time FOSLS formulation of parabolic PDEs. ESAIM: Mathematical Modelling and Numerical Analysis, 55(1), 283-299. https://doi.org/10.1051/m2an/2020084 [details]
- Snijders, T. E., Schlösser, T. P. C., Heckmann, N. D., Tezuka, T., Castelein, R. M., Stevenson, R. P., Weinans, H., de Gast, A., & Dorr, L. D. (2021). The Effect of Functional Pelvic Tilt on the Three-Dimensional Acetabular Cup Orientation in Total Hip Arthroplasty Dislocations. Journal of Arthroplasty, 36(6), 2184-2188. https://doi.org/10.1016/j.arth.2020.12.055 [details]
- Snijders, T. E., Schlösser, T. P. C., van Stralen, M., Castelein, R. M., Stevenson, R. P., Weinans, H., & de Gast, A. (2021). The Effect of Postural Pelvic Dynamics on the Three-dimensional Orientation of the Acetabular Cup in THA Is Patient Specific. Clinical Orthopaedics and Related Research, 479(3), 561-571. https://doi.org/10.1097/CORR.0000000000001489 [details]
- Stevenson, R., & Van Venetië, R. (2021). Uniform preconditioners of linear complexity for problems of negative order. Computational methods in applied mathematics, 21(2), 469-478. https://doi.org/10.1515/cmam-2020-0052 [details]
- Stevenson, R., & Westerdiep, J. (2021). Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. Computers & Mathematics with Applications, 101, 107-118. https://doi.org/10.1016/j.camwa.2021.09.014 [details]
- Stevenson, R., & Westerdiep, J. (2021). Stability of Galerkin discretizations of a mixed space–time variational formulation of parabolic evolution equations. IMA Journal of Numerical Analysis, 41(1), 28-47. Advance online publication. https://doi.org/10.1093/imanum/drz069 [details]
2020
- Stevenson, R., & van Venetië, R. (2020). Uniform preconditioners for problems of negative order. Mathematics of Computation, 89(322), 645-674. https://doi.org/10.1090/MCOM/3481 [details]
- Stevenson, R., & van Venetië, R. (2020). Uniform preconditioners for problems of positive order. Computers and Mathematics with Applications, 79(12), 3516-3530. https://doi.org/10.1016/j.camwa.2020.02.009 [details]
2019
- Berrone, S., Bonito, A., Stevenson, R., & Verani, M. (2019). An optimal adaptive fictitious domain method. Mathematics of Computation, 88(319), 2101-2134. https://doi.org/10.1090/mcom/3414 [details]
- Canuto, C., Nochetto, R. H., Stevenson, R. P., & Verani, M. (2019). A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. ESAIM: Mathematical Modelling and Numerical Analysis, 53(3), 987-1003. https://doi.org/10.1051/m2an/2019015 [details]
- Dahmen, W., & Stevenson, R. P. (2019). Adaptive Strategies for Transport Equations. Computational methods in applied mathematics, 19(3), 431-464. https://doi.org/10.1515/cmam-2018-0230 [details]
- Rekatsinas, N., & Stevenson, R. P. (2019). An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. Advances in Computational Mathematics, 45(2), 1031–1066. https://doi.org/10.1007/s10444-018-9644-2 [details]
2018
- Broersen, D., Dahmen, W., & Stevenson, R. P. (2018). On the stability of DPG formulations of transport equations. Mathematics of Computation, 87(311), 1051-1082. https://doi.org/10.1090/mcom/3242 [details]
- Chegini, N., & Stevenson, R. (2018). Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems. Journal of Computational and Applied Mathematics, 336, 72-97. https://doi.org/10.1016/j.cam.2017.12.021 [details]
- Rekatsinas, N., & Stevenson, R. (2018). A quadratic finite element wavelet Riesz basis. International Journal of Wavelets, Multiresolution and Information Processing, 16(4), Article 1850033. https://doi.org/10.1142/S0219691318500339 [details]
- Rekatsinas, N., & Stevenson, R. (2018). An optimal adaptive wavelet method for first order system least squares. Numerische Mathematik, 140(1), 191-237. https://doi.org/10.1007/s00211-018-0961-7 [details]
2017
- Canuto, C., Nochetto, R. H., Stevenson, R., & Verani, M. (2017). Convergence and optimality of hp-AFEM. Numerische Mathematik, 135(4), 1073-1119. https://doi.org/10.1007/s00211-016-0826-x [details]
- Canuto, C., Nochetto, R. H., Stevenson, R., & Verani, M. (2017). On p-robust saturation for hp-AFEM. Computers and Mathematics with Applications, 73(9), 2004-2022. https://doi.org/10.1016/j.camwa.2017.02.035 [details]
- Schwab, C., & Stevenson, R. (2017). Fractional space-time variational formulations of (Navier-) stokes equations. SIAM Journal on Mathematical Analysis, 49(4), 2442-2467. https://doi.org/10.1137/15M1051725 [details]
2016
- Canuto, C., Nochetto, R. H., Stevenson, R. P., & Verani, M. (2016). Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM journal on numerical analysis, 54(6), 3193–3213. https://doi.org/10.1137/15M104579X [details]
- Dahlke, S., Lellek, D., Lui, S. H., & Stevenson, R. (2016). Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation. Numerical Functional Analysis and Optimization, 37(10), 1213-1234 . https://doi.org/10.1080/01630563.2016.1198916 [details]
- Diening, L., Kreuzer, C., & Stevenson, R. (2016). Instance Optimality of the Adaptive Maximum Strategy. Foundations of Computational Mathematics, 16(1), 33-68. https://doi.org/10.1007/s10208-014-9236-6 [details]
- Stevenson, R. (2016). Divergence-Free Wavelets on the Hypercube: General Boundary Conditions. Constructive Approximation, 44(2), 233-267. https://doi.org/10.1007/s00365-016-9325-7 [details]
2015
- Broersen, D., & Stevenson, R. P. (2015). A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form. IMA Journal of Numerical Analysis, 35(1), 39-73. https://doi.org/10.1093/imanum/dru003 [details]
- Canuto, C., Nochetto, R. H., Stevenson, R., & Verani, M. (2015). High-Order Adaptive Galerkin Methods. In R. M. Kirby, M. Berzins, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations : ICOSAHOM 2014: selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA (pp. 51-72). (Lecture Notes in Computational Science and Engineering ; Vol. 106). Springer. https://doi.org/10.1007/978-3-319-19800-2_4 [details]
- Chegini, N., & Stevenson, R. (2015). An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares. Computational methods in applied mathematics, 15(4), 439-463. https://doi.org/10.1515/cmam-2015-0023 [details]
2014
- Broersen, D., & Stevenson, R. (2014). A robust Petrov-Galerkin discretisation of convection-diffusions. Computers & Mathematics with Applications, 68(11), 1605-1618. https://doi.org/10.1016/j.camwa.2014.06.019 [details]
- Chegini, N. G., Dahlke, S., Friedrich, U., & Stevenson, R. (2014). Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates. In S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter, R. Schneider, C. Schwab, & H. Yserentant (Eds.), Extraction of quantifiable information from complex systems (pp. 69-81). (Lecture Notes in Computational Science and Engineering; No. 102). Springer. https://doi.org/10.1007/978-3-319-08159-5_4 [details]
- Gallistl, D., Schedensack, M., & Stevenson, R. P. (2014). A Remark on Newest Vertex Bisection in Any Space Dimension. Computational methods in applied mathematics, 14(3), 317-320. https://doi.org/10.1515/cmam-2014-0013 [details]
- Guberovic, R., Schwab, C., & Stevenson, R. (2014). Space-time variational saddle point formulations of Stokes and Navier-Stokes equations. ESAIM : Mathematical Modelling and Numerical Analysis, 48(3), 875-894. https://doi.org/10.1051/m2an/2013124 [details]
- Kestler, S., & Stevenson, R. (2014). Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. Journal of Computational and Applied Mathematics, 260, 103-116. https://doi.org/10.1016/j.cam.2013.09.015 [details]
- Stevenson, R. (2014). Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems. Foundations of Computational Mathematics, 14(2), 237-283. https://doi.org/10.1007/s10208-013-9184-6 [details]
- Stevenson, R. P. (2014). First-order system least squares with inhomogeneous boundary conditions. IMA Journal of Numerical Analysis, 34(3), 863-878. Advance online publication. https://doi.org/10.1093/imanum/drt042 [details]
2013
- Chegini, N., Dahlke, S., Friedrich, U., & Stevenson, R. (2013). Piecewise tensor product wavelet bases by extensions and approximation rates. Mathematics of Computation, 82(284), 2157-2190. https://doi.org/10.1090/S0025-5718-2013-02694-4 [details]
- Kestler, S., & Stevenson, R. (2013). An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method. Journal of Scientific Computing, 57(3), 439-463. https://doi.org/10.1007/s10915-013-9712-1 [details]
2012
- Chegini, N., & Stevenson, R. (2012). The adaptive tensor product wavelet scheme: sparse matrices and the application to singularly perturbed problems. IMA Journal of Numerical Analysis, 32(1), 75-104. https://doi.org/10.1093/imanum/drr013 [details]
2011
- Chegini, N., & Stevenson, R. (2011). Adaptive wavelet schemes for parabolic problems: sparse matrices and numerical results. SIAM journal on numerical analysis, 49(1), 182-212. https://doi.org/10.1137/100800555 [details]
- Demlow, A., & Stevenson, R. (2011). Convergence and quasi-optimality of an adaptive finite element method for controlling L2 errors. Numerische Mathematik, 117(2), 185-218. https://doi.org/10.1007/s00211-010-0349-9 [details]
- Schwab, C., & Stevenson, R. (2011). Fast evaluation of nonlinear functionals of tensor product wavelet expansions. Numerische Mathematik, 119(4), 765-786. https://doi.org/10.1007/s00211-011-0397-9 [details]
- Stevenson, R. (2011). Divergence-free wavelet bases on the hypercube. Applied and Computational Harmonic Analysis, 30(1), 1-19. https://doi.org/10.1016/j.acha.2010.01.007 [details]
- Stevenson, R. (2011). Divergence-free wavelet bases on the hypercube: free-slip boundary conditions, and applications for solving the instationary Stokes equations. Mathematics of Computation, 80(275), 1499-1523. https://doi.org/10.1090/S0025-5718-2011-02471-3 [details]
2010
- Dauge, M., & Stevenson, R. (2010). Sparse tensor product wavelet approximation of singular functions. SIAM Journal on Mathematical Analysis, 42(5), 2203-2228. https://doi.org/10.1137/090764694 [details]
- Dijkema, T. J., & Stevenson, R. P. (2010). A sparse Laplacian in tensor product wavelet coordinates. Numerische Mathematik, 115(3), 433-449. https://doi.org/10.1007/s00211-010-0288-5 [details]
2009
- Dijkema, T. J., Schwab, C., & Stevenson, R. (2009). An adaptive wavelet method for solving high-dimensional elliptic PDEs. Constructive Approximation, 30(3), 423-455. https://doi.org/10.1007/s00365-009-9064-0 [details]
- Mommer, M. S., & Stevenson, R. (2009). A goal-oriented adaptive finite element method with convergence rates. SIAM journal on numerical analysis, 47(2), 861-868. https://doi.org/10.1137/060675666 [details]
- Nguyen, H., & Stevenson, R. (2009). Finite element wavelets with improved quantitative properties. Journal of Computational and Applied Mathematics, 230(2), 706-727. https://doi.org/10.1016/j.cam.2009.01.007 [details]
- Schwab, C., & Stevenson, R. (2009). Space-time adaptive wavelet methods for parabolic evolution problems. Mathematics of Computation, 78(267), 1293-1318. https://doi.org/10.1090/S0025-5718-08-02205-9 [details]
- Stevenson, R. (2009). Adaptive wavelet methods for solving operator equations: An overview. In R. A. DeVore, & A. Kunoth (Eds.), Multiscale, nonlinear and adaptive approximation: Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday (pp. 543-597). Springer. https://doi.org/10.1007/978-3-642-03413-8_13 [details]
- Stevenson, R., & Werner, M. (2009). A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Mathematics of Computation, 78(266), 619-644. https://doi.org/10.1090/S0025-5718-08-02186-8 [details]
2008
- Kondratyuk, Y., & Stevenson, R. (2008). An optimal adaptive finite element method for the Stokes problem. SIAM journal on numerical analysis, 46(2), 747-775. https://doi.org/10.1137/06066566X [details]
- Schwab, C., & Stevenson, R. (2008). Adaptive wavelet algorithms for elliptic PDE's on product domains. Mathematics of Computation, 77(261), 71-92. https://doi.org/10.1090/S0025-5718-07-02019-4 [details]
- Stevenson, R. (2008). More on the order of prolongations and restrictions. Applied Numerical Mathematics, 58(12), 1875-1880. https://doi.org/10.1016/j.apnum.2007.11.009 [details]
- Stevenson, R. (2008). The completion of locally refined simplicial partitions created by bisection. Mathematics of Computation, 77(261), 227-241. https://doi.org/10.1090/S0025-5718-07-01959-X [details]
- Stevenson, R., & Werner, M. (2008). Computation of differential operators in aggregated wavelet frame coordinates. IMA Journal of Numerical Analysis, 28(2), 354-381. https://doi.org/10.1093/imanum/drm025 [details]
2011
- Stevenson, R. (2011). Multischaal methoden in de numerieke wiskunde. (Oratiereeks; No. 415). Universiteit van Amsterdam. http://www.oratiereeks.nl/upload/pdf/PDF-5143weboratie_Stevenson_Latex.pdf [details]
Lidmaatschap / relevante positie
- Stevenson, R. (2020-2025). Koninklijk Wiskunde Genootschap. https://www.wiskgenoot.nl/index.php?page=Over_de_club&sid=1
This list of publications is extracted from the UvA-Current Research Information System. Questions? Ask the library or the Pure staff of your faculty / institute. Log in to Pure to edit your publications. Log in to Personal Page Publication Selection tool to manage the visibility of your publications on this list. -
Nevenwerkzaamheden
- Geen nevenwerkzaamheden
Dahmen, W., Monsuur, H., & Stevenson, R. (2023). Least squares solvers for ill-posed PDEs that are conditionally stable. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2227-2255.