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Refinement Equations and Spline Functions

Mathematics – Numerical Analysis
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Regular polynomial interpolation and approximation of global solutions of linear partial differential equations

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Regularization independent of the noise level: an analysis of quasi-optimality

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Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities

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Relationship formula between nonlinear polynomial equations and the corresponding Jacobian matrix

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Relative Error Control in Bivariate Interpolatory Cubature

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Reliable a-posteriori error estimators for $hp$-adaptive finite element approximations of eigenvalue/eigenvector problems

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Reliable operations on oscillatory functions

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Remarks on Hilbert identities, isometric embeddings, and invariant cubature

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Remarks on the Cayley Representation of Orthogonal Matrices and on Perturbing the Diagonal of a Matrix to Make it Invertible

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Remarks on the stability of Cartesian PMLs in corners

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Renormalized reduced models for singular PDEs

Mathematics – Numerical Analysis
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Reorthogonalized Block Classical Gram--Schmidt

Mathematics – Numerical Analysis
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Representation of the Lagrange reconstructing polynomial by combination of substencils

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Reproducing Kernels of Sobolev Spaces via a Green Kernel Approach with Differential Operators and Boundary Operators

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Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks

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Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems

Mathematics – Numerical Analysis
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Residual Velocities in Steady Free Boundary Value Problems of Vector Laplacian Type

Mathematics – Numerical Analysis
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Residual, restarting and Richardson iteration for the matrix exponential, revised

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Resolution of the finite Markov moment problem

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