## Koch, Othmar

Compute Distance To:
 Author ID: koch.othmar Published as: Koch, Othmar; Koch, O. External Links: MGP
 Documents Indexed: 70 Publications since 2000 Reviewing Activity: 45 Reviews Co-Authors: 44 Co-Authors with 65 Joint Publications 615 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 30 Auzinger, Winfried 29 Weinmüller, Ewa B. 16 Hofstätter, Harald 11 Thalhammer, Mechthild 6 Kitzhofer, Georg 5 Budd, Christopher John 4 Lubich, Christian 3 Quell, Michael 2 Amodio, Pierluigi 2 Happenhofer, Natalie 2 Herfort, Wolfgang N. 2 Higueras, Inmaculada 2 Kassebacher, Thomas 2 Kofler, Peter 2 Kupka, Friedrich 2 Lima, Paulo 2 März, Roswitha 2 Neuhauser, Christof 2 Praetorius, Dirk 2 Pulverer, Gernot 2 Scrinzi, Armin 2 Settanni, Giuseppina 2 Simon, Christa 1 Bagherzadeh, Amir Saboor 1 Blaha, Peter 1 Cash, Jeff R. 1 Dick, Alexander 1 Ede, Christopher 1 Grosz, Alexander 1 Hammerling, Robert 1 Jawecki, Tobias 1 Jordan, Gerald 1 Karner, Ernst 1 Ketcheson, David I. 1 Kneisl, Günter 1 Kreuzer, Wolfgang 1 Kropielnicka, Karolina 1 Laskowsky, Rolf 1 Moore, Gerald 1 Rachůnková, Irena 1 Rottschäfer, Vivi 1 Schwarz, Karlheinz 1 Singh, Pranav 1 Taghizadeh, Leila
all top 5

### Serials

 8 Numerical Algorithms 6 Journal of Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Applied Mathematics and Computation 4 BIT 3 Mathematics of Computation 3 Numerische Mathematik 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 2 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 Opuscula Mathematica 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Computing 1 Physica D 1 Analysis (München) 1 WSEAS Transactions on Mathematics 1 International Journal of Applied and Computational Mathematics
all top 5

### Fields

 62 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 20 Partial differential equations (35-XX) 8 Quantum theory (81-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

61 Publications have been cited 638 times in 325 Documents Cited by Year
Dynamical low-rank approximation. Zbl 1145.65031
Koch, Othmar; Lubich, Christian
2008
Dynamical tensor approximation. Zbl 1214.15017
Koch, Othmar; Lubich, Christian
2010
Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1178.76280
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E.
2007
A collocation code for singular boundary value problems in ordinary differential equations. Zbl 1030.65089
Auzinger, Winfried; Kneisl, Günter; Koch, Othmar; Weinmüller, Ewa
2003
The new MATLAB code bvpsuite for the solution of singular implicit BVPs. Zbl 1432.65100
Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B.
2010
Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Zbl 1076.65073
Koch, Othmar
2005
Iterated defect correction for the solution of singular initial value problems. Zbl 0989.65068
Koch, Othmar; Weinmüller, Ewa B.
2001
Efficient collocation schemes for singular boundary value problems. Zbl 1021.65038
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2002
Analysis of a new error estimate for collocation methods applied to singular boundary value problems. Zbl 1087.65082
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2005
From nonlinear PDEs to singular ODEs. Zbl 1089.65104
Budd, Chris; Koch, Othmar; Weinmüller, Ewa
2006
Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076
Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich
2014
Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. Zbl 1029.34002
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B.
2001
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010
Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar
2012
On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013
Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa
2007
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380
Koch, Othmar; Lubich, Christian
2007
Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Zbl 1089.34004
Koch, Othmar; Weinmüller, Ewa
2004
Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066
Budd, C.; Koch, O.; Weinmüller, E.
2006
The convergence of shooting methods for singular boundary value problems. Zbl 1013.65081
Koch, Othmar; Weinmüller, Ewa B.
2003
Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Zbl 1216.65096
Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B.
2010
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics. Zbl 1311.65053
Koch, Othmar; Neuhauser, Christof; Thalhammer, Mechthild
2013
Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations. Zbl 1255.65102
Koch, O.; Neuhauser, Ch.; Thalhammer, M.
2013
Efficient mesh selection for collocation methods applied to singular BVPs. Zbl 1069.65093
Auzinger, W.; Koch, O.; Weinmüller, E.
2005
Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation. Zbl 1162.65372
Kitzhofer, Georg; Koch, Othmar; Weinmüller, Ewa B.
2009
The implicit Euler method for the numerical solution of singular initial value problems. Zbl 0953.65052
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B.
2000
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems. Zbl 1291.65282
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2014
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case. Zbl 1238.65091
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2012
Numerical solution of singular two point BVPs. Zbl 1191.65099
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E.
2009
Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes. Zbl 1359.65080
Auzinger, Winfried; Hofstätter, Harald; Ketcheson, David; Koch, Othmar
2017
Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics. Zbl 1218.81040
Koch, Othmar; Lubich, Christian
2011
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Zbl 1338.65214
Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild
2016
Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134
Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa
2010
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Zbl 1305.65197
Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild
2014
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case. Zbl 1294.35115
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild
2015
Collocation methods for boundary value problems with an essential singularity. Zbl 1151.65336
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2004
Defect-based local error estimators for high-order splitting methods involving three linear operators. Zbl 1325.65131
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2015
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations. Zbl 1132.65070
Auzinger, Winfried; Karner, Ernst; Koch, Othmar; Weinmüller, Ewa
2006
New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079
Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa
2005
Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. Zbl 1311.65104
Auzinger, Winfried; Koch, Othmar; Bagherzadeh, Amir Saboor
2014
Computable upper error bounds for Krylov approximations to matrix exponentials and associated $$\varphi$$-functions. Zbl 1432.65053
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar
2020
Erratum: Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1179.76062
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E.
2007
Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Zbl 1088.65092
Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin
2006
Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148
Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E.
2014
Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. Zbl 1183.82003
Blaha, P.; Hofstätter, H.; Koch, O.; Laskowski, R.; Schwarz, K.
2010
An improved local error estimator for symmetric time-stepping schemes. Zbl 1404.65127
Auzinger, Winfried; Koch, Othmar
2018
New variants of defect correction for boundary value problems in ordinary differential equations. Zbl 1040.65064
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2003
Numerical treatment of singular BVPs: the new Matlab code bvpsuite. Zbl 1182.65122
Kitzhofer, G.; Koch, O.; Weinmüller, E.
2009
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Zbl 1365.65212
Auzinger, Winfried; Koch, Othmar; Quell, Michael
2017
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Zbl 1262.65092
Dick, Alexander; Koch, Othmar; März, Roswitha; Weinmüller, Ewa
2013
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Zbl 1408.65042
Hofstätter, Harald; Koch, Othmar
2019
Convergence of a strang splitting finite element discretization for the Schrödinger-Poisson equation. Zbl 1379.65071
Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild
2017
Setup of order conditions for splitting methods. Zbl 1453.65115
Auzinger, Winfried; Herfort, Wolfgang; Hofstätter, Harald; Koch, Othmar
2016
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Zbl 1415.65151
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar
2019
Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Zbl 1401.65113
Budd, Chris; Koch, Othmar; Taghizadeh, Leila; Weinmüller, Ewa
2018
Convergence of exponential Lawson-multistep methods for the MCTDHF equations. Zbl 1431.65148
Koch, Othmar
2019
Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation. Zbl 1131.65081
Koch, Othmar
2006
Numerical solution of the time-dependent Schrödinger equation in ultrafast laser dynamics. Zbl 1205.65255
Koch, Othmar
2004
A posteriori error estimation for Magnus-type integrators. Zbl 1416.65188
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Quell, Michael; Thalhammer, Mechthild
2019
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Zbl 07111512
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar
2019
An approximate eigensolver for self-consistent field calculations. Zbl 1317.65098
Hofstätter, Harald; Koch, Othmar
2014
Analysis of a defect correction method for geometric integrators. Zbl 1099.65058
Hofstätter, Harald; Koch, Othmar
2006
An algorithm for computing coefficients of words in expressions involving exponentials and its application to the construction of exponential integrators. Zbl 1442.65121
Hofstätter, Harald; Auzinger, Winfried; Koch, Othmar
2019
Computable upper error bounds for Krylov approximations to matrix exponentials and associated $$\varphi$$-functions. Zbl 1432.65053
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar
2020
Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four. Zbl 1408.65042
Hofstätter, Harald; Koch, Othmar
2019
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Zbl 1415.65151
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar
2019
Convergence of exponential Lawson-multistep methods for the MCTDHF equations. Zbl 1431.65148
Koch, Othmar
2019
A posteriori error estimation for Magnus-type integrators. Zbl 1416.65188
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Quell, Michael; Thalhammer, Mechthild
2019
Non-existence of generalized splitting methods with positive coefficients of order higher than four. Zbl 07111512
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar
2019
An algorithm for computing coefficients of words in expressions involving exponentials and its application to the construction of exponential integrators. Zbl 1442.65121
Hofstätter, Harald; Auzinger, Winfried; Koch, Othmar
2019
An improved local error estimator for symmetric time-stepping schemes. Zbl 1404.65127
Auzinger, Winfried; Koch, Othmar
2018
Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Zbl 1401.65113
Budd, Chris; Koch, Othmar; Taghizadeh, Leila; Weinmüller, Ewa
2018
Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes. Zbl 1359.65080
Auzinger, Winfried; Hofstätter, Harald; Ketcheson, David; Koch, Othmar
2017
Adaptive high-order splitting methods for systems of nonlinear evolution equations with periodic boundary conditions. Zbl 1365.65212
Auzinger, Winfried; Koch, Othmar; Quell, Michael
2017
Convergence of a strang splitting finite element discretization for the Schrödinger-Poisson equation. Zbl 1379.65071
Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild
2017
Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime. Zbl 1338.65214
Auzinger, Winfried; Kassebacher, Thomas; Koch, Othmar; Thalhammer, Mechthild
2016
Setup of order conditions for splitting methods. Zbl 1453.65115
Auzinger, Winfried; Herfort, Wolfgang; Hofstätter, Harald; Koch, Othmar
2016
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. III: The nonlinear case. Zbl 1294.35115
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild
2015
Defect-based local error estimators for high-order splitting methods involving three linear operators. Zbl 1325.65131
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2015
Optimized strong stability preserving IMEX Runge-Kutta methods. Zbl 1294.65076
Higueras, Inmaculada; Happenhofer, Natalie; Koch, Othmar; Kupka, Friedrich
2014
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems. Zbl 1291.65282
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2014
Convergence analysis of high-order time-splitting pseudo-spectral methods for rotational Gross-Pitaevskii equations. Zbl 1305.65197
Hofstätter, Harald; Koch, Othmar; Thalhammer, Mechthild
2014
Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations. Zbl 1311.65104
Auzinger, Winfried; Koch, Othmar; Bagherzadeh, Amir Saboor
2014
Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148
Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E.
2014
An approximate eigensolver for self-consistent field calculations. Zbl 1317.65098
Hofstätter, Harald; Koch, Othmar
2014
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics. Zbl 1311.65053
Koch, Othmar; Neuhauser, Christof; Thalhammer, Mechthild
2013
Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations. Zbl 1255.65102
Koch, O.; Neuhauser, Ch.; Thalhammer, M.
2013
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. Zbl 1262.65092
Dick, Alexander; Koch, Othmar; März, Roswitha; Weinmüller, Ewa
2013
Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics. Zbl 1241.85010
Kupka, Friedrich; Happenhofer, Natalie; Higueras, Inmaculada; Koch, Othmar
2012
Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case. Zbl 1238.65091
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild
2012
Variational-splitting time integration of the multi-configuration time-dependent Hartree-Fock equations in electron dynamics. Zbl 1218.81040
Koch, Othmar; Lubich, Christian
2011
Dynamical tensor approximation. Zbl 1214.15017
Koch, Othmar; Lubich, Christian
2010
The new MATLAB code bvpsuite for the solution of singular implicit BVPs. Zbl 1432.65100
Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B.
2010
Numerical solution of singular ODE eigenvalue problems in electronic structure computations. Zbl 1216.65096
Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B.
2010
Collocation methods for index 1 DAEs with a singularity of the first kind. Zbl 1196.65134
Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa
2010
Iterative diagonalization in augmented plane wave based methods in electronic structure calculations. Zbl 1183.82003
Blaha, P.; Hofstätter, H.; Koch, O.; Laskowski, R.; Schwarz, K.
2010
Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation. Zbl 1162.65372
Kitzhofer, Georg; Koch, Othmar; Weinmüller, Ewa B.
2009
Numerical solution of singular two point BVPs. Zbl 1191.65099
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E.
2009
Numerical treatment of singular BVPs: the new Matlab code bvpsuite. Zbl 1182.65122
Kitzhofer, G.; Koch, O.; Weinmüller, E.
2009
Dynamical low-rank approximation. Zbl 1145.65031
Koch, Othmar; Lubich, Christian
2008
Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1178.76280
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E.
2007
On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013
Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa
2007
Regularity of the multi-configuration time-dependent Hartree approximation in quantum molecular dynamics. Zbl 1135.81380
Koch, Othmar; Lubich, Christian
2007
Erratum: Efficient numerical solution of the density profile equation in hydrodynamics. Zbl 1179.76062
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E.
2007
From nonlinear PDEs to singular ODEs. Zbl 1089.65104
Budd, Chris; Koch, Othmar; Weinmüller, Ewa
2006
Computation of self-similar solution profiles for the nonlinear Schrödinger equation. Zbl 1122.65066
Budd, C.; Koch, O.; Weinmüller, E.
2006
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations. Zbl 1132.65070
Auzinger, Winfried; Karner, Ernst; Koch, Othmar; Weinmüller, Ewa
2006
Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. Zbl 1088.65092
Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin
2006
Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation. Zbl 1131.65081
Koch, Othmar
2006
Analysis of a defect correction method for geometric integrators. Zbl 1099.65058
Hofstätter, Harald; Koch, Othmar
2006
Asymptotically correct error estimation for collocation methods applied to singular boundary value problems. Zbl 1076.65073
Koch, Othmar
2005
Analysis of a new error estimate for collocation methods applied to singular boundary value problems. Zbl 1087.65082
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2005
Efficient mesh selection for collocation methods applied to singular BVPs. Zbl 1069.65093
Auzinger, W.; Koch, O.; Weinmüller, E.
2005
New a posteriori error estimates for singular boundary value problems. Zbl 1082.65079
Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa
2005
Analytical and numerical treatment of a singular initial value problem in avalanche modeling. Zbl 1089.34004
Koch, Othmar; Weinmüller, Ewa
2004
Collocation methods for boundary value problems with an essential singularity. Zbl 1151.65336
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2004
Numerical solution of the time-dependent Schrödinger equation in ultrafast laser dynamics. Zbl 1205.65255
Koch, Othmar
2004
A collocation code for singular boundary value problems in ordinary differential equations. Zbl 1030.65089
Auzinger, Winfried; Kneisl, Günter; Koch, Othmar; Weinmüller, Ewa
2003
The convergence of shooting methods for singular boundary value problems. Zbl 1013.65081
Koch, Othmar; Weinmüller, Ewa B.
2003
New variants of defect correction for boundary value problems in ordinary differential equations. Zbl 1040.65064
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2003
Efficient collocation schemes for singular boundary value problems. Zbl 1021.65038
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa
2002
Iterated defect correction for the solution of singular initial value problems. Zbl 0989.65068
Koch, Othmar; Weinmüller, Ewa B.
2001
Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. Zbl 1029.34002
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B.
2001
The implicit Euler method for the numerical solution of singular initial value problems. Zbl 0953.65052
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B.
2000
all top 5

### Cited by 464 Authors

 40 Weinmüller, Ewa B. 38 Koch, Othmar 27 Rachůnková, Irena 22 Auzinger, Winfried 15 Lubich, Christian 11 Hofstätter, Harald 11 Staněk, Svatoslav 8 Guglielmi, Nicola 8 Rachůnek, Lukáš 8 Si, Zhiyong 7 Einkemmer, Lukas 7 Kressner, Daniel 7 Thalhammer, Mechthild 7 Tomeček, Jan 6 Burkotová, Jana 6 Pulverer, Gernot 6 Uschmajew, André 6 Vandereycken, Bart 5 Amodio, Pierluigi 5 Babaee, Hessam 5 Lima, Pedro Miguel 5 Nobile, Fabio 5 Parvaz, Reza 5 Settanni, Giuseppina 5 Trabelsi, Saber 5 Zarebnia, Mohammad 4 Budd, Christopher John 4 Hackbusch, Wolfgang 4 He, Yinnian 4 Jahnke, Tobias 4 Kacewicz, Bolesław Z. 4 Lermusiaux, Pierre F. J. 4 März, Roswitha 4 Mauser, Norbert Julius 4 Nouy, Anthony 4 Oseledets, Ivan V. 4 Ostermann, Alexander 4 Przybyłowicz, Paweł 4 Schneider, Reinhold 4 Venturi, Daniele 4 Walach, Hanna 3 Bagherzadeh, Amir Saboor 3 Balsara, Dinshaw S. 3 Bardos, Claude Williams 3 Bulatov, Mikhail Valer’yanovich 3 Casas, Fernando 3 Ceruti, Gianluca 3 Dektor, Alec 3 Feppon, Florian 3 Garain, Sudip K. 3 Horst, Ulrich 3 Kieri, Emil 3 Konguetsof, Avrilia 3 Kutniv, Myroslav V. 3 Morgado, Luisa 3 Musharbash, Eleonora 3 Piazzola, Chiara 3 Scalone, Carmela 3 Spiteri, Raymond J. 3 Wang, Yunxia 3 Xiao, Aiguo 3 Zhang, Gengen 2 Absil, Pierre-Antoine 2 Allouche, Hassane 2 An, Dong 2 Bachmayr, Markus 2 Bader, Philipp 2 Blanes, Sergio 2 Carpenter, Mark H. 2 Catto, Isabelle 2 Cen, Zhongdi 2 Cervi, Jessica 2 Conte, Dajana 2 Dimarco, Giacomo 2 Dolgov, Sergey V. 2 Ehrlacher, Virginie 2 Falcó, Antonio 2 Feichtinger, Anna 2 Friess, Marie Billaud 2 Herfort, Wolfgang N. 2 Hesthaven, Jan S. 2 Higueras, Inmaculada 2 Hu, Jingwei 2 Izzo, Giuseppe 2 Jackiewicz, Zdzislaw 2 Jawecki, Tobias 2 Kazashi, Yoshihito 2 Kitzhofer, Georg 2 Kreuzer, Wolfgang 2 Kupka, Friedrich 2 Kurganov, Alexander 2 Lin, Lin 2 Lombardi, Damiano 2 Lu, Jianfeng 2 Mena, Hermann 2 Mikl, Marcel 2 Montecinos, Gino I. 2 Pagliantini, Cecilia 2 Pfurtscheller, Lena-Maria 2 Praetorius, Dirk ...and 364 more Authors
all top 5

### Cited in 103 Serials

 28 Journal of Computational Physics 21 Applied Mathematics and Computation 19 Journal of Computational and Applied Mathematics 19 Numerical Algorithms 16 Applied Numerical Mathematics 14 BIT 14 SIAM Journal on Scientific Computing 10 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 7 SIAM Journal on Matrix Analysis and Applications 7 Boundary Value Problems 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Scientific Computing 4 Computers & Mathematics with Applications 4 Computer Physics Communications 4 Mathematics of Computation 4 Mathematics and Computers in Simulation 4 Advances in Computational Mathematics 4 Advances in Difference Equations 3 Journal of Complexity 3 Applied Mathematics Letters 3 Computational Optimization and Applications 3 Journal of Difference Equations and Applications 3 Journal of Mathematical Chemistry 3 Foundations of Computational Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Physica D 2 Mathematical and Computer Modelling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Acta Numerica 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Computing 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Computational Economics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Finance and Stochastics 1 Mathematics and Mechanics of Solids 1 Soft Computing 1 Data Mining and Knowledge Discovery 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Journal of Cosmology and Astroparticle Physics 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Numerical Algebra, Control and Optimization 1 Journal of Mathematics in Industry 1 Axioms 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Computational Dynamics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation ...and 3 more Serials
all top 5

### Cited in 37 Fields

 250 Numerical analysis (65-XX) 91 Ordinary differential equations (34-XX) 86 Partial differential equations (35-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 35 Fluid mechanics (76-XX) 22 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Approximations and expansions (41-XX) 6 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Differential geometry (53-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Information and communication theory, circuits (94-XX)