Rob P. Stevenson

According to our database, Rob P. Stevenson authored at least 67 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Improved rates for a space-time FOSLS of parabolic PDEs.

Gregor Gantner, Rob P. Stevenson

Numerische Mathematik, February, 2024

2023

Interpolation operators for parabolic problems.

Rob Stevenson, Johannes Storn

Numerische Mathematik, October, 2023

Minimal residual methods in negative or fractional Sobolev norms.

Harald Monsuur, Rob P. Stevenson, Johannes Storn

Math. Comput., October, 2023

A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation.

Harald Monsuur, Rob P. Stevenson

Comput. Math. Appl., October, 2023

A convenient inclusion of inhomogeneous boundary conditions in minimal residual methods.

Rob Stevenson

CoRR, 2023

2022

A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations.

Gregor Gantner, Rob Stevenson

SIAM J. Numer. Anal., June, 2022

Accuracy controlled data assimilation for parabolic problems.

Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep

Math. Comput., 2022

Applications of a space-time FOSLS formulation for parabolic PDEs.

Gregor Gantner, Rob P. Stevenson

CoRR, 2022

Least squares solvers for ill-posed PDEs that are conditionally stable.

Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson

CoRR, 2022

A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations.

Rob Stevenson, Raymond van Venetië, Jan Westerdiep

Adv. Comput. Math., 2022

2021

Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions.

Udo Boehm, Sonja Cox, Gregor Gantner, Rob P. Stevenson

CoRR, 2021

Operator preconditioning: the simplest case.

Rob P. Stevenson, Raymond van Venetië

CoRR, 2021

Uniform Preconditioners of Linear Complexity for Problems of Negative Order.

Rob Stevenson, Raymond van Venetië

Comput. Methods Appl. Math., 2021

Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators.

Rob P. Stevenson, Jan Westerdiep

Comput. Math. Appl., 2021

A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences.

Giuseppe Carere, Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza, Rob Stevenson

Comput. Math. Appl., 2021

2020

Uniform preconditioners for problems of negative order.

Rob Stevenson, Raymond van Venetië

Math. Comput., 2020

Further results on a space-time FOSLS formulation of parabolic PDEs.

Gregor Gantner, Rob Stevenson

CoRR, 2020

Uniform preconditioners for problems of positive order.

Rob P. Stevenson, Raymond van Venetië

Comput. Math. Appl., 2020

2019

An optimal adaptive Fictitious Domain Method.

Stefano Berrone, Andrea Bonito, Rob Stevenson, Marco Verani

Math. Comput., 2019

Adaptive Strategies for Transport Equations.

Wolfgang Dahmen, Rob P. Stevenson

Comput. Methods Appl. Math., 2019

An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems.

Nikolaos Rekatsinas, Rob Stevenson

Adv. Comput. Math., 2019

2018

An optimal adaptive wavelet method for first order system least squares.

Nikolaos Rekatsinas, Rob Stevenson

Numerische Mathematik, 2018

On the stability of DPG formulations of transport equations.

Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson

Math. Comput., 2018

Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems.

Nabi Chegini, Rob Stevenson

J. Comput. Appl. Math., 2018

A quadratic finite element wavelet Riesz basis.

Nikolaos Rekatsinas, Rob Stevenson

Int. J. Wavelets Multiresolution Inf. Process., 2018

2017

Fractional Space-Time Variational Formulations of (Navier-) Stokes Equations.

Christoph Schwab, Rob Stevenson

SIAM J. Math. Anal., 2017

Convergence and optimality of \({\mathbf {hp}}\) -AFEM.

Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani

Numerische Mathematik, 2017

On p-robust saturation for hp-AFEM.

Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani

Comput. Math. Appl., 2017

2016

Adaptive Spectral Galerkin Methods with Dynamic Marking.

Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani

SIAM J. Numer. Anal., 2016

Instance Optimality of the Adaptive Maximum Strategy.

Lars Diening, Christian Kreuzer, Rob Stevenson

Found. Comput. Math., 2016

2015

An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares.

Nabi Chegini, Rob P. Stevenson

Comput. Methods Appl. Math., 2015

2014

Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions.

Sebastian Kestler, Rob P. Stevenson

J. Comput. Appl. Math., 2014

Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems.

Rob P. Stevenson

Found. Comput. Math., 2014

A Remark on Newest Vertex Bisection in Any Space Dimension.

Dietmar Gallistl, Mira Schedensack, Rob P. Stevenson

Comput. Methods Appl. Math., 2014

A robust Petrov-Galerkin discretisation of convection-diffusion equations.

Dirk Broersen, Rob Stevenson

Comput. Math. Appl., 2014

2013

Piecewise tensor product wavelet bases by extensions and approximation rates.

Nabi Chegini, Stephan Dahlke, Ulrich Friedrich, Rob Stevenson

Math. Comput., 2013

An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method.

Sebastian Kestler, Rob P. Stevenson

J. Sci. Comput., 2013

2011

Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results.

Nabi Chegini, Rob P. Stevenson

SIAM J. Numer. Anal., 2011

Fast evaluation of nonlinear functionals of tensor product wavelet expansions.

Christoph Schwab, Rob Stevenson

Numerische Mathematik, 2011

Convergence and quasi-optimality of an adaptive finite element method for controlling <i>L</i> ₂ errors.

Alan Demlow, Rob Stevenson

Numerische Mathematik, 2011

Divergence-free wavelet bases on the hypercube: Free-slip boundary conditions, and applications for solving the instationary Stokes equations.

Rob P. Stevenson

Math. Comput., 2011

2010

Sparse Tensor Product Wavelet Approximation of Singular Functions.

Monique Dauge, Rob P. Stevenson

SIAM J. Math. Anal., 2010

A sparse Laplacian in tensor product wavelet coordinates.

Tammo Jan Dijkema, Rob Stevenson

Numerische Mathematik, 2010

2009

A Goal-Oriented Adaptive Finite Element Method with Convergence Rates.

Mario S. Mommer, Rob P. Stevenson

SIAM J. Numer. Anal., 2009

A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems.

Rob P. Stevenson, Manuel Werner

Math. Comput., 2009

Space-time adaptive wavelet methods for parabolic evolution problems.

Christoph Schwab, Rob P. Stevenson

Math. Comput., 2009

2008

An Optimal Adaptive Finite Element Method for the Stokes Problem.

Yaroslav Kondratyuk, Rob P. Stevenson

SIAM J. Numer. Anal., 2008

The completion of locally refined simplicial partitions created by bisection.

Rob P. Stevenson

Math. Comput., 2008

Adaptive wavelet algorithms for elliptic PDE's on product domains.

Christoph Schwab, Rob P. Stevenson

Math. Comput., 2008

2007

Composite Wavelet Bases with Extended Stability and Cancellation Properties.

Rob P. Stevenson

SIAM J. Numer. Anal., 2007

An optimal adaptive wavelet method without coarsening of the iterands.

Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson

Math. Comput., 2007

Optimality of a Standard Adaptive Finite Element Method.

Rob P. Stevenson

Found. Comput. Math., 2007

2006

Wavelets with patchwise cancellation properties.

Helmut Harbrecht, Rob P. Stevenson

Math. Comput., 2006

Computation of differential operators in wavelet coordinates.

Tsogtgerel Gantumur, Rob P. Stevenson

Math. Comput., 2006

Computation of Singular Integral Operators in Wavelet Coordinates.

Tsogtgerel Gantumur, Rob P. Stevenson

Computing, 2006

2005

An Optimal Adaptive Finite Element Method.

Rob P. Stevenson

SIAM J. Numer. Anal., 2005

The uniform saturation property for a singularly perturbed reaction-diffusion equation.

Rob P. Stevenson

Numerische Mathematik, 2005

Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases.

Bishnu P. Lamichhane, Rob P. Stevenson, Barbara I. Wohlmuth

Numerische Mathematik, 2005

2004

On the Compressibility of Operators in Wavelet Coordinates.

Rob Stevenson

SIAM J. Math. Anal., 2004

2003

Adaptive Solution of Operator Equations Using Wavelet Frames.

Rob P. Stevenson

SIAM J. Numer. Anal., 2003

An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element.

Rob P. Stevenson

Math. Comput., 2003

A stable, direct solver for the gradient equation.

Rob P. Stevenson

Math. Comput., 2003

2002

Nonconforming finite elements and the cascadic multi-grid method.

Rob Stevenson

Numerische Mathematik, 2002

1999

Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions.

Wolfgang Dahmen, Rob Stevenson

SIAM J. Numer. Anal., 1999

1998

Stable three-point wavelet bases on general meshes.

Rob Stevenson

Numerische Mathematik, 1998

1996

The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner.

Rob P. Stevenson

Math. Comput., 1996

1995

Robustness of the Additive and Multiplicative Frequency Decomposition Multi-Level Method.

Rob P. Stevenson

Computing, 1995