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ORCIDRob P. Stevenson
Person information
- affiliation: University of Amsterdam, Netherlands
Other persons with the same name
- Rob Stevenson 0002 — University of Massachusetts, Boston, MA, USA
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2020 – today
- 2024
[j62]Rob Stevenson:
A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods. Comput. Methods Appl. Math. 24(4): 983-994 (2024)- [j61]Gregor Gantner
, Rob P. Stevenson:
Improved rates for a space-time FOSLS of parabolic PDEs. Numerische Mathematik 156(1): 133-157 (2024) - [i18]Harald Monsuur, Rob Stevenson:
Ultra-weak least squares discretizations for unique continuation and Cauchy problems. CoRR abs/2407.04571 (2024) - 2023
- [j60]Harald Monsuur, Rob P. Stevenson:
A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. Comput. Math. Appl. 148: 241-255 (2023) - [j59]Harald Monsuur, Rob P. Stevenson, Johannes Storn:
Minimal residual methods in negative or fractional Sobolev norms. Math. Comput. 93(347): 1027-1052 (2023) - [j58]Rob Stevenson, Johannes Storn:
Interpolation operators for parabolic problems. Numerische Mathematik 155(1-2): 211-238 (2023) - [i17]Harald Monsuur, Rob P. Stevenson, Johannes Storn:
Minimal residual methods in negative or fractional Sobolev norms. CoRR abs/2301.10484 (2023) - [i16]Rob Stevenson:
A convenient inclusion of inhomogeneous boundary conditions in minimal residual methods. CoRR abs/2303.12555 (2023) - [i15]Harald Monsuur, Rob P. Stevenson:
A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. CoRR abs/2303.16508 (2023) - 2022
- [j57]Rob Stevenson, Raymond van Venetië, Jan Westerdiep:
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Adv. Comput. Math. 48(3): 17 (2022) - [j56]Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep:
Accuracy controlled data assimilation for parabolic problems. Math. Comput. 91(334): 557-595 (2022) - [j55]Gregor Gantner, Rob Stevenson:
A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations. SIAM J. Numer. Anal. 60(3): 1607-1629 (2022) - [i14]Gregor Gantner, Rob P. Stevenson:
A well-posed First Order System Least Squares formulation of the instationary Stokes equations. CoRR abs/2201.10843 (2022) - [i13]Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson:
Least squares solvers for ill-posed PDEs that are conditionally stable. CoRR abs/2207.07542 (2022) - [i12]Gregor Gantner, Rob P. Stevenson:
Applications of a space-time FOSLS formulation for parabolic PDEs. CoRR abs/2208.09616 (2022) - [i11]Gregor Gantner, Rob P. Stevenson:
Improved rates for a space-time FOSLS of parabolic PDEs. CoRR abs/2208.10824 (2022) - [i10]Rob Stevenson, Johannes Storn:
Interpolation Operators for parabolic Problems. CoRR abs/2212.04134 (2022) - 2021
- [j54]Rob P. Stevenson, Jan Westerdiep:
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. Comput. Math. Appl. 101: 107-118 (2021) - [j53]Giuseppe Carere, Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza, Rob Stevenson:
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences. Comput. Math. Appl. 102: 261-276 (2021) - [j52]Rob Stevenson, Raymond van Venetië:
Uniform Preconditioners of Linear Complexity for Problems of Negative Order. Comput. Methods Appl. Math. 21(2): 469-478 (2021) - [i9]Rob P. Stevenson, Raymond van Venetië, Jan Westerdiep:
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. CoRR abs/2101.03956 (2021) - [i8]Rob P. Stevenson, Raymond van Venetië:
Operator preconditioning: the simplest case. CoRR abs/2102.11951 (2021) - [i7]Giuseppe Carere, Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza, Rob Stevenson:
A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences. CoRR abs/2103.00632 (2021) - [i6]Udo Boehm, Sonja Cox, Gregor Gantner, Rob P. Stevenson:
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. CoRR abs/2103.04839 (2021) - [i5]Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep:
Accuracy controlled data assimilation for parabolic problems. CoRR abs/2105.05836 (2021) - [i4]Rob Stevenson, Jan Westerdiep:
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. CoRR abs/2106.01090 (2021) - 2020
- [j51]Rob P. Stevenson, Raymond van Venetië:
Uniform preconditioners for problems of positive order. Comput. Math. Appl. 79(12): 3516-3530 (2020) - [j50]Rob Stevenson, Raymond van Venetië:
Uniform preconditioners for problems of negative order. Math. Comput. 89(322): 645-674 (2020) - [i3]Rob P. Stevenson, Raymond van Venetië:
Uniform preconditioners of linear complexity for problems of negative order. CoRR abs/2004.06418 (2020) - [i2]Gregor Gantner, Rob Stevenson:
Further results on a space-time FOSLS formulation of parabolic PDEs. CoRR abs/2005.11000 (2020)
2010 – 2019
- 2019
- [j49]Nikolaos Rekatsinas, Rob Stevenson:
An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. Adv. Comput. Math. 45(2): 1031-1066 (2019) - [j48]Wolfgang Dahmen, Rob P. Stevenson:
Adaptive Strategies for Transport Equations. Comput. Methods Appl. Math. 19(3): 431-464 (2019) - [j47]Stefano Berrone, Andrea Bonito, Rob Stevenson, Marco Verani:
An optimal adaptive Fictitious Domain Method. Math. Comput. 88(319): 2101-2134 (2019) - [i1]Rob Stevenson, Raymond van Venetië:
Uniform preconditioners for problems of positive order. CoRR abs/1906.09164 (2019) - 2018
- [j46]Nikolaos Rekatsinas, Rob Stevenson:
A quadratic finite element wavelet Riesz basis. Int. J. Wavelets Multiresolution Inf. Process. 16(4): 1850033:1-1850033:17 (2018) - [j45]Nabi Chegini, Rob Stevenson:
Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems. J. Comput. Appl. Math. 336: 72-97 (2018) - [j44]Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson:
On the stability of DPG formulations of transport equations. Math. Comput. 87(311): 1051-1082 (2018) - [j43]Nikolaos Rekatsinas, Rob Stevenson:
An optimal adaptive wavelet method for first order system least squares. Numerische Mathematik 140(1): 191-237 (2018) - 2017
- [j42]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
On p-robust saturation for hp-AFEM. Comput. Math. Appl. 73(9): 2004-2022 (2017) - [j41]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
Convergence and optimality of \({\mathbf {hp}}\) -AFEM. Numerische Mathematik 135(4): 1073-1119 (2017) - [j40]Christoph Schwab, Rob Stevenson:
Fractional Space-Time Variational Formulations of (Navier-) Stokes Equations. SIAM J. Math. Anal. 49(4): 2442-2467 (2017) - 2016
- [j39]Lars Diening, Christian Kreuzer, Rob Stevenson:
Instance Optimality of the Adaptive Maximum Strategy. Found. Comput. Math. 16(1): 33-68 (2016) - [j38]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM J. Numer. Anal. 54(6): 3193-3213 (2016) - 2015
- [j37]Nabi Chegini, Rob P. Stevenson:
An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares. Comput. Methods Appl. Math. 15(4): 439-463 (2015) - 2014
- [j36]Dirk Broersen, Rob Stevenson:
A robust Petrov-Galerkin discretisation of convection-diffusion equations. Comput. Math. Appl. 68(11): 1605-1618 (2014) - [j35]Dietmar Gallistl, Mira Schedensack, Rob P. Stevenson:
A Remark on Newest Vertex Bisection in Any Space Dimension. Comput. Methods Appl. Math. 14(3): 317-320 (2014) - [j34]Rob P. Stevenson:
Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems. Found. Comput. Math. 14(2): 237-283 (2014) - [j33]Sebastian Kestler, Rob P. Stevenson:
Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. J. Comput. Appl. Math. 260: 103-116 (2014) - 2013
- [j32]Sebastian Kestler, Rob P. Stevenson:
An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method. J. Sci. Comput. 57(3): 439-463 (2013) - [j31]Nabi Chegini, Stephan Dahlke, Ulrich Friedrich, Rob Stevenson:
Piecewise tensor product wavelet bases by extensions and approximation rates. Math. Comput. 82(284): 2157-2190 (2013) - 2011
- [j30]Rob P. Stevenson:
Divergence-free wavelet bases on the hypercube: Free-slip boundary conditions, and applications for solving the instationary Stokes equations. Math. Comput. 80(275): 1499-1523 (2011) - [j29]Alan Demlow, Rob Stevenson:
Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors. Numerische Mathematik 117(2): 185-218 (2011) - [j28]Christoph Schwab, Rob Stevenson:
Fast evaluation of nonlinear functionals of tensor product wavelet expansions. Numerische Mathematik 119(4): 765-786 (2011) - [j27]Nabi Chegini, Rob P. Stevenson:
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results. SIAM J. Numer. Anal. 49(1): 182-212 (2011) - 2010
- [j26]Tammo Jan Dijkema, Rob Stevenson:
A sparse Laplacian in tensor product wavelet coordinates. Numerische Mathematik 115(3): 433-449 (2010) - [j25]Monique Dauge, Rob P. Stevenson:
Sparse Tensor Product Wavelet Approximation of Singular Functions. SIAM J. Math. Anal. 42(5): 2203-2228 (2010)
2000 – 2009
- 2009
- [j24]Rob P. Stevenson, Manuel Werner:
A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Math. Comput. 78(266): 619-644 (2009) - [j23]Christoph Schwab, Rob P. Stevenson:
Space-time adaptive wavelet methods for parabolic evolution problems. Math. Comput. 78(267): 1293-1318 (2009) - [j22]Mario S. Mommer, Rob P. Stevenson:
A Goal-Oriented Adaptive Finite Element Method with Convergence Rates. SIAM J. Numer. Anal. 47(2): 861-886 (2009) - 2008
- [j21]Christoph Schwab, Rob P. Stevenson:
Adaptive wavelet algorithms for elliptic PDE's on product domains. Math. Comput. 77(261): 71-92 (2008) - [j20]Rob P. Stevenson:
The completion of locally refined simplicial partitions created by bisection. Math. Comput. 77(261): 227-241 (2008) - [j19]Yaroslav Kondratyuk, Rob P. Stevenson:
An Optimal Adaptive Finite Element Method for the Stokes Problem. SIAM J. Numer. Anal. 46(2): 747-775 (2008) - 2007
- [j18]Rob P. Stevenson:
Optimality of a Standard Adaptive Finite Element Method. Found. Comput. Math. 7(2): 245-269 (2007) - [j17]Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson:
An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. 76(258): 615-629 (2007) - [j16]Rob P. Stevenson:
Composite Wavelet Bases with Extended Stability and Cancellation Properties. SIAM J. Numer. Anal. 45(1): 133-162 (2007) - 2006
- [j15]Tsogtgerel Gantumur, Rob P. Stevenson:
Computation of Singular Integral Operators in Wavelet Coordinates. Computing 76(1-2): 77-107 (2006) - [j14]Tsogtgerel Gantumur, Rob P. Stevenson:
Computation of differential operators in wavelet coordinates. Math. Comput. 75(254): 697-709 (2006) - [j13]Helmut Harbrecht, Rob P. Stevenson:
Wavelets with patchwise cancellation properties. Math. Comput. 75(256): 1871-1889 (2006) - 2005
- [j12]Rob P. Stevenson:
The uniform saturation property for a singularly perturbed reaction-diffusion equation. Numerische Mathematik 101(2): 355-379 (2005) - [j11]Bishnu P. Lamichhane, Rob P. Stevenson, Barbara I. Wohlmuth:
Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases. Numerische Mathematik 102(1): 93-121 (2005) - [j10]Rob P. Stevenson:
An Optimal Adaptive Finite Element Method. SIAM J. Numer. Anal. 42(5): 2188-2217 (2005) - 2004
- [j9]Rob Stevenson:
On the Compressibility of Operators in Wavelet Coordinates. SIAM J. Math. Anal. 35(5): 1110-1132 (2004) - 2003
- [j8]Rob P. Stevenson:
A stable, direct solver for the gradient equation. Math. Comput. 72(241): 41-53 (2003) - [j7]Rob P. Stevenson:
An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Math. Comput. 72(241): 55-81 (2003) - [j6]Rob P. Stevenson:
Adaptive Solution of Operator Equations Using Wavelet Frames. SIAM J. Numer. Anal. 41(3): 1074-1100 (2003) - 2002
- [j5]Rob Stevenson:
Nonconforming finite elements and the cascadic multi-grid method. Numerische Mathematik 91(2): 351-387 (2002)
1990 – 1999
- 1999
- [j4]Wolfgang Dahmen, Rob Stevenson:
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions. SIAM J. Numer. Anal. 37(1): 319-352 (1999) - 1998
- [j3]Rob Stevenson:
Stable three-point wavelet bases on general meshes. Numerische Mathematik 80(1): 131-158 (1998) - 1996
- [j2]Rob P. Stevenson:
The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner. Math. Comput. 65(215): 983-997 (1996) - 1995
- [j1]Rob P. Stevenson:
Robustness of the Additive and Multiplicative Frequency Decomposition Multi-Level Method. Computing 54(4): 331-346 (1995)
Coauthor Index
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