Robustness of the Additive and Multiplicative Frequency Decomposition Multi-Level Method. - Rob P. Stevenson (Computing, 1995)

The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner. - Rob P. Stevenson (Math. Comput., 1996)

Stable three-point wavelet bases on general meshes. - Rob Stevenson 001 (Numerische Mathematik, 1998)

Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions. - Wolfgang Dahmen; Rob Stevenson 001 (SIAM J. Numer. Anal., 1999)

Nonconforming finite elements and the cascadic multi-grid method. - Rob Stevenson 001 (Numerische Mathematik, 2002)

A stable, direct solver for the gradient equation. - Rob P. Stevenson (Math. Comput., 2003)

An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. - Rob P. Stevenson (Math. Comput., 2003)

Adaptive Solution of Operator Equations Using Wavelet Frames. - Rob P. Stevenson (SIAM J. Numer. Anal., 2003)

On the Compressibility of Operators in Wavelet Coordinates. - Rob Stevenson 001 (SIAM J. Math. Anal., 2004)

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)

The uniform saturation property for a singularly perturbed reaction-diffusion equation. - Rob P. Stevenson (Numerische Mathematik, 2005)

An Optimal Adaptive Finite Element Method. - Rob P. Stevenson (SIAM J. Numer. Anal., 2005)

Computation of Singular Integral Operators in Wavelet Coordinates. - Tsogtgerel Gantumur; Rob P. Stevenson (Computing, 2006)

Computation of differential operators in wavelet coordinates. - Tsogtgerel Gantumur; Rob P. Stevenson (Math. Comput., 2006)

Wavelets with patchwise cancellation properties. - Helmut Harbrecht; Rob P. Stevenson (Math. Comput., 2006)

Optimality of a Standard Adaptive Finite Element Method. - Rob P. Stevenson (Found. Comput. Math., 2007)

An optimal adaptive wavelet method without coarsening of the iterands. - Tsogtgerel Gantumur; Helmut Harbrecht; Rob P. Stevenson (Math. Comput., 2007)

Composite Wavelet Bases with Extended Stability and Cancellation Properties. - Rob P. Stevenson (SIAM J. Numer. Anal., 2007)

Adaptive wavelet algorithms for elliptic PDE's on product domains. - Christoph Schwab; Rob P. Stevenson (Math. Comput., 2008)

The completion of locally refined simplicial partitions created by bisection. - Rob P. Stevenson (Math. Comput., 2008)

An Optimal Adaptive Finite Element Method for the Stokes Problem. - Yaroslav Kondratyuk; Rob P. Stevenson (SIAM J. Numer. Anal., 2008)

Space-time adaptive wavelet methods for parabolic evolution problems. - Christoph Schwab; Rob P. Stevenson (Math. Comput., 2009)

A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. - Rob P. Stevenson; Manuel Werner (Math. Comput., 2009)

A Goal-Oriented Adaptive Finite Element Method with Convergence Rates. - Mario S. Mommer; Rob P. Stevenson (SIAM J. Numer. Anal., 2009)

A sparse Laplacian in tensor product wavelet coordinates. - Tammo Jan Dijkema; Rob Stevenson 001 (Numerische Mathematik, 2010)

Sparse Tensor Product Wavelet Approximation of Singular Functions. - Monique Dauge; Rob P. Stevenson (SIAM J. Math. Anal., 2010)

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)

Convergence and quasi-optimality of an adaptive finite element method for controlling L 2 errors. - Alan Demlow; Rob Stevenson 001 (Numerische Mathematik, 2011)

Fast evaluation of nonlinear functionals of tensor product wavelet expansions. - Christoph Schwab; Rob Stevenson 001 (Numerische Mathematik, 2011)

Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results. - Nabi Chegini; Rob P. Stevenson (SIAM J. Numer. Anal., 2011)

An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method. - Sebastian Kestler; Rob P. Stevenson (J. Sci. Comput., 2013)

Piecewise tensor product wavelet bases by extensions and approximation rates. - Nabi Chegini; Stephan Dahlke; Ulrich Friedrich; Rob Stevenson 001 (Math. Comput., 2013)

A robust Petrov-Galerkin discretisation of convection-diffusion equations. - Dirk Broersen; Rob Stevenson 001 (Comput. Math. Appl., 2014)

A Remark on Newest Vertex Bisection in Any Space Dimension. - Dietmar Gallistl; Mira Schedensack; Rob P. Stevenson (Comput. Methods Appl. Math., 2014)

Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems. - Rob P. Stevenson (Found. Comput. Math., 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)

An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares. - Nabi Chegini; Rob P. Stevenson (Comput. Methods Appl. Math., 2015)

Instance Optimality of the Adaptive Maximum Strategy. - Lars Diening; Christian Kreuzer; Rob Stevenson 001 (Found. Comput. Math., 2016)

Adaptive Spectral Galerkin Methods with Dynamic Marking. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (SIAM J. Numer. Anal., 2016)

On p-robust saturation for hp-AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Comput. Math. Appl., 2017)

Convergence and optimality of ({ mathbf {hp}} ) -AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Numerische Mathematik, 2017)

Fractional Space-Time Variational Formulations of (Navier-) Stokes Equations. - Christoph Schwab; Rob Stevenson 001 (SIAM J. Math. Anal., 2017)

A quadratic finite element wavelet Riesz basis. - Nikolaos Rekatsinas; Rob Stevenson 001 (Int. J. Wavelets Multiresolution Inf. Process., 2018)

Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems. - Nabi Chegini; Rob Stevenson 001 (J. Comput. Appl. Math., 2018)

On the stability of DPG formulations of transport equations. - Dirk Broersen; Wolfgang Dahmen; Rob P. Stevenson (Math. Comput., 2018)

An optimal adaptive wavelet method for first order system least squares. - Nikolaos Rekatsinas; Rob Stevenson 001 (Numerische Mathematik, 2018)

An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems. - Nikolaos Rekatsinas; Rob Stevenson 001 (Adv. Comput. Math., 2019)

Adaptive Strategies for Transport Equations. - Wolfgang Dahmen; Rob P. Stevenson (Comput. Methods Appl. Math., 2019)

An optimal adaptive Fictitious Domain Method. - Stefano Berrone; Andrea Bonito; Rob Stevenson 001; Marco Verani (Math. Comput., 2019)

Uniform preconditioners for problems of positive order. - Rob P. Stevenson; Raymond van Venetië (Comput. Math. Appl., 2020)

Further results on a space-time FOSLS formulation of parabolic PDEs. - Gregor Gantner; Rob Stevenson 001 (CoRR, 2020)

Uniform preconditioners for problems of negative order. - Rob Stevenson 001; Raymond van Venetië (Math. Comput., 2020)

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 001 (Comput. Math. Appl., 2021)

Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. - Rob P. Stevenson; Jan Westerdiep (Comput. Math. Appl., 2021)

Uniform Preconditioners of Linear Complexity for Problems of Negative Order. - Rob Stevenson 001; Raymond van Venetië (Comput. Methods Appl. Math., 2021)

Operator preconditioning: the simplest case. - Rob P. Stevenson; Raymond van Venetië (CoRR, 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)

A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. - Rob Stevenson 001; Raymond van Venetië; Jan Westerdiep (Adv. Comput. Math., 2022)

Least squares solvers for ill-posed PDEs that are conditionally stable. - Wolfgang Dahmen; Harald Monsuur; Rob P. Stevenson (CoRR, 2022)

Applications of a space-time FOSLS formulation for parabolic PDEs. - Gregor Gantner; Rob P. Stevenson (CoRR, 2022)

Accuracy controlled data assimilation for parabolic problems. - Wolfgang Dahmen; Rob P. Stevenson; Jan Westerdiep (Math. Comput., 2022)

A Well-Posed First Order System Least Squares Formulation of the Instationary Stokes Equations. - Gregor Gantner; Rob Stevenson 001 (SIAM J. Numer. Anal., 2022)

A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. - Harald Monsuur; Rob P. Stevenson (Comput. Math. Appl., 2023)

Minimal residual methods in negative or fractional Sobolev norms. - Harald Monsuur; Rob P. Stevenson; Johannes Storn (Math. Comput., 2023)

Interpolation operators for parabolic problems. - Rob Stevenson 001; Johannes Storn (Numerische Mathematik, 2023)

Quasi-Optimal Least Squares: Inhomogeneous boundary conditions, and application with machine learning. - Harald Monsuur; Robin Smeets; Rob P. Stevenson (CoRR, 2024)

Improved rates for a space-time FOSLS of parabolic PDEs. - Gregor Gantner; Rob P. Stevenson (Numerische Mathematik, 2024)

A Convenient Inclusion of Inhomogeneous Boundary Conditions in Minimal Residual Methods. - Rob Stevenson 001 (Comput. Methods Appl. Math., 2024)

Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems. - Harald Monsuur; Rob P. Stevenson (SIAM J. Numer. Anal., 2025)

A quasi-optimal space-time FEM with local mesh refinements for parabolic problems. - Lars Diening; Rob P. Stevenson; Johannes Storn (CoRR, 2025)