Rob P. Stevenson

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 19

Top Topics

Super Resolution Reconstruction

Adaptive Wavelet

Video Representation

Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

Publications

Gregor Gantner, Rob P. Stevenson
Improved rates for a space-time FOSLS of parabolic PDEs. Numerische Mathematik 156 (1) (2024)
Harald Monsuur, Rob P. Stevenson, Johannes Storn
Minimal residual methods in negative or fractional Sobolev norms. Math. Comput. 93 (347) (2023)
Harald Monsuur, Rob P. Stevenson, Johannes Storn
Minimal residual methods in negative or fractional Sobolev norms. CoRR (2023)
Harald Monsuur, Rob P. Stevenson
A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. CoRR (2023)
Harald Monsuur, Rob P. Stevenson
A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. Comput. Math. Appl. 148 (2023)
Gregor Gantner, Rob P. Stevenson
Improved rates for a space-time FOSLS of parabolic PDEs. CoRR (2022)
Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
Accuracy controlled data assimilation for parabolic problems. Math. Comput. 91 (334) (2022)
Gregor Gantner, Rob P. Stevenson
A well-posed First Order System Least Squares formulation of the instationary Stokes equations. CoRR (2022)
Gregor Gantner, Rob P. Stevenson
Applications of a space-time FOSLS formulation for parabolic PDEs. CoRR (2022)
Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson
Least squares solvers for ill-posed PDEs that are conditionally stable. CoRR (2022)
Rob P. Stevenson, Raymond van Venetië
Operator preconditioning: the simplest case. CoRR (2021)
Rob P. Stevenson, Jan Westerdiep
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. Comput. Math. Appl. 101 (2021)
Rob P. Stevenson, Raymond van Venetië, Jan Westerdiep
A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. CoRR (2021)
Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
Accuracy controlled data assimilation for parabolic problems. CoRR (2021)
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 (2021)
Rob P. Stevenson, Raymond van Venetië
Uniform preconditioners for problems of positive order. Comput. Math. Appl. 79 (12) (2020)
Rob P. Stevenson, Raymond van Venetië
Uniform preconditioners of linear complexity for problems of negative order. CoRR (2020)
Wolfgang Dahmen, Rob P. Stevenson
Adaptive Strategies for Transport Equations. Comput. Methods Appl. Math. 19 (3) (2019)
Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson
On the stability of DPG formulations of transport equations. Math. Comput. 87 (311) (2018)
Nabi Chegini, Rob P. Stevenson
An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares. Comput. Methods Appl. Math. 15 (4) (2015)
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 (2014)
Rob P. Stevenson
Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems. Found. Comput. Math. 14 (2) (2014)
Dietmar Gallistl, Mira Schedensack, Rob P. Stevenson
A Remark on Newest Vertex Bisection in Any Space Dimension. Comput. Methods Appl. Math. 14 (3) (2014)
Sebastian Kestler, Rob P. Stevenson
An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method. J. Sci. Comput. 57 (3) (2013)
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) (2011)
Nabi Chegini, Rob P. Stevenson
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results. SIAM J. Numer. Anal. 49 (1) (2011)
Monique Dauge, Rob P. Stevenson
Sparse Tensor Product Wavelet Approximation of Singular Functions. SIAM J. Math. Anal. 42 (5) (2010)
Christoph Schwab, Rob P. Stevenson
Space-time adaptive wavelet methods for parabolic evolution problems. Math. Comput. 78 (267) (2009)
Mario S. Mommer, Rob P. Stevenson
A Goal-Oriented Adaptive Finite Element Method with Convergence Rates. SIAM J. Numer. Anal. 47 (2) (2009)
Rob P. Stevenson, Manuel Werner
A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Math. Comput. 78 (266) (2009)
Rob P. Stevenson
The completion of locally refined simplicial partitions created by bisection. Math. Comput. 77 (261) (2008)
Yaroslav Kondratyuk, Rob P. Stevenson
An Optimal Adaptive Finite Element Method for the Stokes Problem. SIAM J. Numer. Anal. 46 (2) (2008)
Christoph Schwab, Rob P. Stevenson
Adaptive wavelet algorithms for elliptic PDE's on product domains. Math. Comput. 77 (261) (2008)
Rob P. Stevenson
Optimality of a Standard Adaptive Finite Element Method. Found. Comput. Math. 7 (2) (2007)
Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson
An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. 76 (258) (2007)
Rob P. Stevenson
Composite Wavelet Bases with Extended Stability and Cancellation Properties. SIAM J. Numer. Anal. 45 (1) (2007)
Helmut Harbrecht, Rob P. Stevenson
Wavelets with patchwise cancellation properties. Math. Comput. 75 (256) (2006)
Tsogtgerel Gantumur, Rob P. Stevenson
Computation of Singular Integral Operators in Wavelet Coordinates. Computing 76 (1-2) (2006)
Tsogtgerel Gantumur, Rob P. Stevenson
Computation of differential operators in wavelet coordinates. Math. Comput. 75 (254) (2006)
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) (2005)
Rob P. Stevenson
The uniform saturation property for a singularly perturbed reaction-diffusion equation. Numerische Mathematik 101 (2) (2005)
Rob P. Stevenson
An Optimal Adaptive Finite Element Method. SIAM J. Numer. Anal. 42 (5) (2005)
Rob P. Stevenson
Adaptive Solution of Operator Equations Using Wavelet Frames. SIAM J. Numer. Anal. 41 (3) (2003)
Rob P. Stevenson
A stable, direct solver for the gradient equation. Math. Comput. 72 (241) (2003)
Rob P. Stevenson
An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Math. Comput. 72 (241) (2003)
Rob P. Stevenson
The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner. Math. Comput. 65 (215) (1996)
Rob P. Stevenson
Robustness of the Additive and Multiplicative Frequency Decomposition Multi-Level Method. Computing 54 (4) (1995)