B. A. Schmitt

发表

Equilibrium attractivity of Runge–Kutta methods

B. A. Schmitt, R. Weiner, 2001 .

Equilibrium attractivity of Krylov-W-methods for nonlinear stiff ODEs

B. A. Schmitt, R. Weiner, 1998 .

Matrix-free W-methods using a multiple Arnoldi iteration

B. A. Schmitt, R. Weiner, 1995 .

An algebraic approximation for the matrix exponential in singularly perturbed boundary value problems

B. A. Schmitt, 1990 .

Perturbation bounds for matrix square roots and pythagorean sums

B. A. Schmitt, 1992 .

Algebraic criteria for A-stability of peer two-step methods

B. A. Schmitt, 2015, 1506.05738.

ROWMAP—a ROW-code with Krylov techniques for large stiff ODEs

B. A. Schmitt, R. Weiner, H. Podhaisky, 1997 .

Two-step peer methods with continuous output

Rüdiger Weiner, Bernhard A. Schmitt, Steffen Beck, 2013 .

Krylov methods for adjoint‐free singular vector based perturbations in dynamical systems

B. A. Schmitt, M. Denhard, J. Winkler, 2019, Quarterly Journal of the Royal Meteorological Society.

Implicit A-Stable Peer Triplets for ODE Constrained Optimal Control Problems

J. Lang, B. A. Schmitt, 2022, Algorithms.

A model for spatio-temporal dynamics in a regulatory network for cell polarity.

B. A. Schmitt, S. Dahlke, Peter Rashkov, 2014, Mathematical biosciences.

Norm bounds for rational matrix functions

B. A. Schmitt, 1983 .

A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution

J. Lang, B. A. Schmitt, 2022, 2209.14051.

A Model of Oscillatory Protein Dynamics in Bacteria

B. A. Schmitt, Peter Rashkov, P. Lenz, 2012, Bulletin of Mathematical Biology.

Stability of implicit Runge-Kutta methods for nonlinear stiff differential equations

B. A. Schmitt, 1988 .

Rapid turnover of DnaA at replication origin regions contributes to initiation control of DNA replication

Seán M. Murray, B. A. Schmitt, S. Dahlke, 2017, PLoS genetics.

Parameter optimization for explicit parallel peer two-step methods

Rüdiger Weiner, Bernhard A. Schmitt, Stefan Jebens, 2009 .

Implicit peer methods for large stiff ODE systems

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2012 .

Implicit peer methods for large stiff ODE systems

B. A. Schmitt, R. Weiner, H. Podhaisky, 2011, Journal of Applied Mathematics and Computation.

Order results for Krylov-W-methods

Rüdiger Weiner, Bernhard A. Schmitt, B. A. Schmitt, 1998, Computing.

Parallel two‐step W‐methods

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2001 .

Polynomial preconditioning in Krylov-ROW-methods

B. A. Schmitt, R. Weiner, 1998 .

Numerical experiments with Krylov integrators

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 1998 .

Consistency of Krylov-w-methods in Initial Value Problems

B. A. Schmitt, R. Weiner, 1995 .

Superconvergent explicit two-step peer methods

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2009 .

Rosenbrock-type 'Peer' two-step methods

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2005 .

Implicit parallel peer methods for stiff initial value problems

Rüdiger Weiner, Bernhard A. Schmitt, B. A. Schmitt, 2005 .

Multi-Implicit Peer Two-Step W-Methods for Parallel Time Integration

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2005 .

Parallel Two-Step W-Methods with Peer Variables

Rüdiger Weiner, Bernhard A. Schmitt, B. A. Schmitt, 2004, SIAM J. Numer. Anal..

W-methods with automatic partitioning by Krylov techniques for large stiff systems

Rüdiger Weiner, Bernhard A. Schmitt, B. A. Schmitt, 1995 .

Krylov approximations for matrix square roots in stiff boundary value problems

Bernhard A. Schmitt, B. A. Schmitt, 1992 .

Implicit Peer Triplets in Gradient-Based Solution Algorithms for ODE Constrained Optimal Control

J. Lang, B. A. Schmitt, 2023, Journal of Optimization Theory and Applications.

Discrete Adjoint Implicit Peer Methods in Optimal Control pdf

Bernhard A. Schmitt, Jens Lang, J. Lang, 2020, J. Comput. Appl. Math..

Efficient A-stable peer two-step methods

Rüdiger Weiner, Bernhard A. Schmitt, B. A. Schmitt, 2017, J. Comput. Appl. Math..

Two-step peer methods with continuous output

B. A. Schmitt, R. Weiner, Steffen Beck, 2013, BIT Numerical Mathematics.

On algebraic stability of general linear methods and peer methods

B. A. Schmitt, 2012 .

Explicit two-step peer methods

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2008, Comput. Math. Appl..

Explicit parallel two-step peer methods

B. A. Schmitt, R. Weiner, H. Podhaisky, 2006 .

Reprint of: Peer methods with improved embedded sensitivities for parameter-dependent ODEs

Bernhard A. Schmitt, B. A. Schmitt, 2014, J. Comput. Appl. Math..

Peer Two-Step Methods with Embedded Sensitivity Approximation for Parameter-Dependent ODEs

Bernhard A. Schmitt, Ekaterina A. Kostina, B. A. Schmitt, 2012, SIAM J. Numer. Anal..

Peer methods with improved embedded sensitivities for parameter-dependent ODEs

Bernhard A. Schmitt, B. A. Schmitt, 2014, J. Comput. Appl. Math..

2 Organization and Funding 3 Registered Participants and Lectures Implicit-explicit Methods for Time-dependent Pdes Alternating Direction Orthogonal Spline Collocation Methods for Initial/boundary Value Prob- Lems Adaptive and Parallel Computational Techniques with Applications in Materials Science

J. M. Sanz-Serna, Hyman, J. Flaherty, 2007 .

Dew drops on spider webs: A symmetry breaking bifurcation for a parabolic differential-algebraic equation

Bernhard A. Schmitt, Klaus Böhmer, Karl-Heinz Schild, 2013, J. Comput. Appl. Math..

Design, analysis and testing of some parallel two-step W-methods for stiff systems

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2002 .

Numerical experiments with parallel two‐step W‐methods for DAEs

B. A. Schmitt, R. Weiner, H. Podhaisky, 2002 .

Parallel Two-Step W-Methods on Singular Perturbation Problems

Helmut Podhaisky, Rüdiger Weiner, Bernhard A. Schmitt, 2001, PPAM.

Automatic partitioning in linearly-implicit Runge-Kutta methods

B. A. Schmitt, R. Weiner, M. Buettner, 1993 .