Rob P. Stevenson

51 papers Journal 51

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A quasi-optimal space-time FEM with local mesh refinements for parabolic problems. CoRR Lars Diening, Rob P. Stevenson, Johannes Storn
2025	J	`jnl`	Quasi-optimal time-space discretizations for a class of nonlinear parabolic PDEs. CoRR Nina Beranek, Robin Smeets, Rob P. Stevenson
2025	J	`jnl`	Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems. SIAM J. Numer. Anal. Harald Monsuur, Rob P. Stevenson
2024	J	`jnl`	Improved rates for a space-time FOSLS of parabolic PDEs. Numerische Mathematik Gregor Gantner, Rob P. Stevenson
2024	J	`jnl`	Quasi-Optimal Least Squares: Inhomogeneous boundary conditions, and application with machine learning. CoRR Harald Monsuur, Robin Smeets, Rob P. Stevenson
2023	J	`jnl`	A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. Comput. Math. Appl. Harald Monsuur, Rob P. Stevenson
2023	J	`jnl`	A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation. CoRR Harald Monsuur, Rob P. Stevenson
2023	J	`jnl`	Minimal residual methods in negative or fractional Sobolev norms. CoRR Harald Monsuur, Rob P. Stevenson, Johannes Storn
2023	J	`jnl`	Minimal residual methods in negative or fractional Sobolev norms. Math. Comput. Harald Monsuur, Rob P. Stevenson, Johannes Storn
2022	J	`jnl`	A well-posed First Order System Least Squares formulation of the instationary Stokes equations. CoRR Gregor Gantner, Rob P. Stevenson
2022	J	`jnl`	Accuracy controlled data assimilation for parabolic problems. Math. Comput. Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
2022	J	`jnl`	Applications of a space-time FOSLS formulation for parabolic PDEs. CoRR Gregor Gantner, Rob P. Stevenson
2022	J	`jnl`	Improved rates for a space-time FOSLS of parabolic PDEs. CoRR Gregor Gantner, Rob P. Stevenson
2022	J	`jnl`	Least squares solvers for ill-posed PDEs that are conditionally stable. CoRR Wolfgang Dahmen, Harald Monsuur, Rob P. Stevenson
2021	J	`jnl`	A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. CoRR Rob P. Stevenson, Raymond van Venetië, Jan Westerdiep
2021	J	`jnl`	Accuracy controlled data assimilation for parabolic problems. CoRR Wolfgang Dahmen, Rob P. Stevenson, Jan Westerdiep
2021	J	`jnl`	Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. CoRR Udo Boehm, Sonja Cox, Gregor Gantner, Rob P. Stevenson
2021	J	`jnl`	Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators. Comput. Math. Appl. Rob P. Stevenson, Jan Westerdiep
2021	J	`jnl`	Operator preconditioning: the simplest case. CoRR Rob P. Stevenson, Raymond van Venetië
2020	J	`jnl`	Uniform preconditioners for problems of positive order. Comput. Math. Appl. Rob P. Stevenson, Raymond van Venetië
2020	J	`jnl`	Uniform preconditioners of linear complexity for problems of negative order. CoRR Rob P. Stevenson, Raymond van Venetië
2019	J	`jnl`	Adaptive Strategies for Transport Equations. Comput. Methods Appl. Math. Wolfgang Dahmen, Rob P. Stevenson
2018	J	`jnl`	On the stability of DPG formulations of transport equations. Math. Comput. Dirk Broersen, Wolfgang Dahmen, Rob P. Stevenson
2015	J	`jnl`	An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares. Comput. Methods Appl. Math. Nabi Chegini, Rob P. Stevenson
2014	J	`jnl`	A Remark on Newest Vertex Bisection in Any Space Dimension. Comput. Methods Appl. Math. Dietmar Gallistl, Mira Schedensack, Rob P. Stevenson
2014	J	`jnl`	Adaptive Wavelet Methods for Linear and Nonlinear Least-Squares Problems. Found. Comput. Math. Rob P. Stevenson
2014	J	`jnl`	Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. J. Comput. Appl. Math. Sebastian Kestler, Rob P. Stevenson
2013	J	`jnl`	An Efficient Approximate Residual Evaluation in the Adaptive Tensor Product Wavelet Method. J. Sci. Comput. Sebastian Kestler, Rob P. Stevenson
2011	J	`jnl`	Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results. SIAM J. Numer. Anal. Nabi Chegini, Rob P. Stevenson
2011	J	`jnl`	Divergence-free wavelet bases on the hypercube: Free-slip boundary conditions, and applications for solving the instationary Stokes equations. Math. Comput. Rob P. Stevenson
2010	J	`jnl`	Sparse Tensor Product Wavelet Approximation of Singular Functions. SIAM J. Math. Anal. Monique Dauge, Rob P. Stevenson
2009	J	`jnl`	A Goal-Oriented Adaptive Finite Element Method with Convergence Rates. SIAM J. Numer. Anal. Mario S. Mommer, Rob P. Stevenson
2009	J	`jnl`	A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. Math. Comput. Rob P. Stevenson, Manuel Werner
2009	J	`jnl`	Space-time adaptive wavelet methods for parabolic evolution problems. Math. Comput. Christoph Schwab, Rob P. Stevenson
2008	J	`jnl`	Adaptive wavelet algorithms for elliptic PDE's on product domains. Math. Comput. Christoph Schwab, Rob P. Stevenson
2008	J	`jnl`	An Optimal Adaptive Finite Element Method for the Stokes Problem. SIAM J. Numer. Anal. Yaroslav Kondratyuk, Rob P. Stevenson
2008	J	`jnl`	The completion of locally refined simplicial partitions created by bisection. Math. Comput. Rob P. Stevenson
2007	J	`jnl`	An optimal adaptive wavelet method without coarsening of the iterands. Math. Comput. Tsogtgerel Gantumur, Helmut Harbrecht, Rob P. Stevenson
2007	J	`jnl`	Composite Wavelet Bases with Extended Stability and Cancellation Properties. SIAM J. Numer. Anal. Rob P. Stevenson
2007	J	`jnl`	Optimality of a Standard Adaptive Finite Element Method. Found. Comput. Math. Rob P. Stevenson
2006	J	`jnl`	Computation of Singular Integral Operators in Wavelet Coordinates. Computing Tsogtgerel Gantumur, Rob P. Stevenson
2006	J	`jnl`	Computation of differential operators in wavelet coordinates. Math. Comput. Tsogtgerel Gantumur, Rob P. Stevenson
2006	J	`jnl`	Wavelets with patchwise cancellation properties. Math. Comput. Helmut Harbrecht, Rob P. Stevenson
2005	J	`jnl`	An Optimal Adaptive Finite Element Method. SIAM J. Numer. Anal. Rob P. Stevenson
2005	J	`jnl`	Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases. Numerische Mathematik Bishnu P. Lamichhane, Rob P. Stevenson, Barbara I. Wohlmuth
2005	J	`jnl`	The uniform saturation property for a singularly perturbed reaction-diffusion equation. Numerische Mathematik Rob P. Stevenson
2003	J	`jnl`	A stable, direct solver for the gradient equation. Math. Comput. Rob P. Stevenson
2003	J	`jnl`	Adaptive Solution of Operator Equations Using Wavelet Frames. SIAM J. Numer. Anal. Rob P. Stevenson
2003	J	`jnl`	An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. Math. Comput. Rob P. Stevenson
1996	J	`jnl`	The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner. Math. Comput. Rob P. Stevenson
1995	J	`jnl`	Robustness of the Additive and Multiplicative Frequency Decomposition Multi-Level Method. Computing Rob P. Stevenson