An adaptive multilevel approach to parabolic equations I. General theory and 1D implementation. - Folkmar A. Bornemann (IMPACT Comput. Sci. Eng., 1990)

An adaptive multilevel approach to parabolic equations : II. Variable-order time discretization based on a multiplicative error correction. - Folkmar A. Bornemann (IMPACT Comput. Sci. Eng., 1991)

An adaptive multilevel approach to parabolic equations III. 2D error estimation and multilevel preconditioning. - Folkmar A. Bornemann (IMPACT Comput. Sci. Eng., 1992)

Homogenization in Time of Singularly Perturbed Mechanical Systems. - Folkmar Bornemann (Springer, 1998)

Approximation Properties and Limits of the Quantum-Classical Molecular Dynamics Model. - Christof Schütte; Folkmar A. Bornemann (Computational Molecular Dynamics, 1999)

Adaptive accuracy control for Car-Parrinello simulations. - Folkmar A. Bornemann; Christof Schütte (Numerische Mathematik, 1999)

On the Singular Limit of the Quantum-Classical Molecular Dynamics Model. - Christof Schütte; Folkmar A. Bornemann (SIAM J. Appl. Math., 1999)

The SIAM 100-Digit Challenge - A study in High-Accuracy Numerical Computing. - Folkmar Bornemann; Dirk Laurie; Stan Wagon; Jörg Waldvogel (The SIAM 100-Digit Challenge, 2004)

Vom Lösen numerischer Probleme - Ein Streifzug entlang der SIAM 10x10-Digit Challenge. - Folkmar Bornemann; Dirk Laurie; Stan Wagon; Jörg Waldvogel (Springer, 2006)

Problem 11194. - Folkmar Bornemann (Am. Math. Mon., 2006)

Fast Image Inpainting Based on Coherence Transport. - Folkmar Bornemann; Tom März (J. Math. Imaging Vis., 2007)

A Disguised Radius of Convergence: 11194. - Folkmar Bornemann; Robert B. Israel (Am. Math. Mon., 2007)

Taming a Hydra of Singularities. - Folkmar Bornemann; Thomas Schmelzer (Am. Math. Mon., 2007)

Konkrete Analysis - für Studierende der Informatik. - Folkmar Bornemann (Springer, 2008)

On the numerical evaluation of Fredholm determinants. - Folkmar Bornemann (Math. Comput., 2010)

Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals. - Folkmar Bornemann (Found. Comput. Math., 2011)

On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity. - Shuhuang Xiang; Folkmar Bornemann (SIAM J. Numer. Anal., 2012)

Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains. - Christian B. Mendl; Folkmar Bornemann (CoRR, 2020)

The Challenge of Sixfold Integrals: The Closed-Form Evaluation of Newton Potentials between Two Cubes. - Folkmar Bornemann (CoRR, 2022)

A Stirling-type formula for the distribution of the length of longest increasing subsequences, applied to finite size corrections to the random matrix limit. - Folkmar Bornemann (CoRR, 2022)

A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences. - Folkmar Bornemann (Found. Comput. Math., 2024)