2.4. Numerical Analysis

Papers in journals and proceedings

P.J.F. BERKVENS, M.A. BOTCHEV, W.M. LIOEN, J.G. VERWER, A Zooming Technique for Wind Transport of Air Pollution. In: Finite Volumes for Complex Applications II, Problems and Perspectives, Hermes Science Publications, Paris, 499-506 (1999).

J.G. BLOM, W.M. LIOEN, J.G. VERWER, HPCN and Air Quality Modeling, In: High Performance Computing and Networking, Lecture Notes in Computer Science 1401, Procs. HPCN Europe '98, 141-150 (1998).

M.A. BOTCHEV, G.L.G. SLEIJPEN, H.A. VAN DER VORST, Stability control for approximate implicit time-stepping schemes with minimum residual iterations. Appl. Numer. Math. 31, 239-254 (1999).

M.J.S. CHIN-JOE-KONG, W.A. MULDER, M. VAN VELDHUIZEN, Higher-order triangular and tetrahedal finite elements with mass lumping for solving the wave equation. J. of Engineering Math. 35, 405-426 (1999).

J.L.M. VAN DORSSELAER, C. LUBICH, Inertial manifolds of parabolic differential equations under higher-order discretizations. IMA Journal of Numerical Analysis 19, 455-471 (1999).

C. EICHLER-LIEBENOW, P.J. VAN DER HOUWEN,, B.P. SOMMEIJER, Analysis of approximate factorization in iteration methods. Appl. Numer. Math. 28, 245-258 (1998).

F.E. ERNST, G.C. HERMAN, Removal of guided waves from seismic data in laterally varying media. Wave Motion 28, 173-189 (1998).

F.E. ERNST, G.C. HERMAN, A generalized traveltime inversion method for estimating a laterally varying dispersive velocity field. Proceedings International Conference on Theoretical and Computational Acoustics 97, World Scientific Publishing Co., Singapore. 91-101 (1999).

F.E. ERNST, G.C. HERMAN, Surface-consistent reduction of near-surface scattering in 3D seismic land data. Proceedings 61st EAGE Conference (1999), Helsinki, EAGE, Houten, 4-54.

F.E. ERNST, G.C. HERMAN, B. BLONK, Reduction of near-surface scattering effects in seismic data. The Leading Edge 17, 759-764 (1998).

C.T.H. EVERAARS, B. KOREN, Using coordination to parallelize sparse-grid methods for 3D CFD problems. Parallel Computing 24, 1081-1106 (1998).

C.T.H. EVERAARS, B. KOREN, F. ARBAB, Dynamic process composition and communication patterns in irregularly structured applications. Proceedings of the 10th Symposium on Parallel and Distributed Processing, San Juan, Puerto Rico, (1999), Lecture Notes in Computer Science 1586 1046-1054, Springer, Berlin.

P.W. HEMKER, B. KOREN, J. NOORDMANS, 3D multigrid on partially ordered sets of grids. In: Multigrid Methods V. Proceedings of the Fifth European Multigrid Conference, Springer Verlag, 105-124 (1998).

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, Acceleration of the numerical solution of parabolic singularly perturbed problems by parallel methods based on a defect correction technique. In: Proceedings of IMMB'98, Conference on Iterative Solution Methods for the Elasticity Equations as Arising in Mechanics and Biomechanics, Nijmegen, (1998) 125-128.

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, A defect correction method for parabolic singular perturbation problems on a rectangle. In: Proceedings of the Second International Conference Finite Difference Methods: Theory and Applications, Minsk, Belarus, 2, 30-34 (1998).

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, $epsilon$-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. IMA J. Numer. Anal.. (1998).

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, An $epsilon$-uniform defect correction method for a parabolic convection-diffusion problem. In Proceedings of the Fourth International Conference, NMA'98, Sofia, (1998) Recent Advances in Numerical Methods and Applications II, 521-529, World Scientific. (1999).

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, The numerical solution of a Neumann problem for parabolic singularly perturbed equations with high-order time accuracy. In Proceedings of the Fourth International Conference, NMA'98, Sofia, (1998) Recent Advances in Numerical Methods and Applications II, 27-39, World Scientific. (1999).

P.W. HEMKER, G.I. SHISHKIN, L.P. SHISHKINA, Parallel methods based on a defect-correction technique for parabolic singularly perturbed problems. In Proceedings of the Workshop on the Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems, Analytical and Numerical Methods for Singularly Perturbed Problems, Nuova Science Publishing House, USA. (1999).

G.C. HERMAN, P.A. MILLIGAN, Q. DONG, J.W. RECTOR, Analysis and removal of multiply scattered tube waves. SEG 68th Annual Meeting, New Orleans, (1998), 284-287.

G.C. HERMAN, P.A. MILLIGAN, R. HUGGINS, J.W. RECTOR, Imaging shallow objects with scattered guided waves. SEG 68th Annual Meeting, New Orleans, (1998), 825-828.

G.C. HERMAN, P.A. MILLIGAN, R. HUGGINS, J.W. RECTOR, A Dutch day in the field at the Richmond field station. Proceedings 61st EAGE Conference, (1999) Helsinki, EAGE, Houten, P138.

W. HOFFMANN, The Gauss-Huard algorithm and LU factorization. Lin. Algebra Appl. 275-276, 281-286 (1998).

K.J. IN 'T HOUT, CH. LUBICH, Periodic orbits of delay differential equations under discretization. BIT 38, 72-91 (1998).

P.J. VAN DER HOUWEN, Parallel aspects of integration methods for initial value problems. in: Special Functions and Differential Equations, Proceedings of a Workshop held at IMS, Madras 1997, Applied Publishers, 403-431 (1998).

P.J. VAN DER HOUWEN, Parallel methods for nonstiff VIDEs. J. Integral Equations and Appl. 10, 503-515 (1998).

P.J. VAN DER HOUWEN, Parallel aspects of integration methods for initial value problems. In: Proc. of the Workshop Special Functions and Differential Equations, Madras 1997, Allied Publishers Limited, 403-431 (1998).

P.J. VAN DER HOUWEN, E. MESSINA, Splitting methods for second-order initial-value problems. Numerical Algorithms 18, 233-257 (1998).

P.J. VAN DER HOUWEN, E. MESSINA, Parallel Adams methods. J. Comp. Appl. Math. 101, 153-165 (1999).

P.J. VAN DER HOUWEN, E. MESSINA, J.J.B. DE SWART, Parallel Störmer-Cowell methods for high-precision orbit computations. Appl. Numer. Math. 31, 353-374 (1999).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, CWI contributions to the development of parallel Runge-Kutta methods. CWI Quarterly 11, 33-53 (1998).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, The use of approximate factorization methods in stiff ODE solvers. Comput. Appl. Math. 100, 11-21 (1998).

W.H. HUNDSDORFER, Trapezoidal and midpoint splittings for initial-boundary value problems. Math. Comp. 67, 1047-1062 (1998).

W.H. HUNDSDORFER, A note on stability of the Douglas splitting method. Math. Comp. 67, 183-190 (1998).

W.H. HUNDSDORFER, Stability of approximate factorization with $\theta$-methods. BIT 39, 473-483 (1999).

R. KEPPENS, G. TSOTH, M.A. BOTCHEV, A. VAN DER PLOEG, Implicit and semi-implicit schemes: algorithms. Internat. J. Numer. Methods Fluids 30, 335-352 (1999).

B. KOREN, P.W. HEMKER, C.T.H. EVERAARS, Sparse-grid solution of the steady Euler equations of gas dynamics. Computational Fluid Dynamics '98 2, Invited Lectures, Minisymposia and Special Technological Sessions of the Fourth European Computational Fluid Dynamics Conference, (1998) Wiley, Chichester, 252-257.

B. KOREN, D. LANSER, A computational method for internal flows with mixed inlet-outlet ports, application to nozzle flows in melt-spinning processes. Computational Fluid Dynamics '98 1, Proceedings of the Fourth European Computational Fluid Dynamics Conference, Wiley, Chichester, 1212-1217.

B. KOREN, P.F.M. MICHIELSEN, J.W. KARS, P. WESSELING, A computational method for high-frequency oleodynamics, application to hydraulic-shock-absorber designs. Surveys on Mathematics for Industry 7, 283-301 (1998).

B. KOREN, A.C.J. VENIS, A fed back level-set method for moving material-void interfaces. Journal of Computational and Applied Mathematics 101, 131-152 (1999).

B. KOREN, A.C.J. VENIS, A fed back level-set method for moving material-void interfaces. In Proceedings of the Seventh International Conference on Hyperbolic Problems, International Series of Numerical Mathematics, 130, 579-588, Birkhäuser, Basel. (1999).

D. LANSER, J.G. VERWER, Analysis of operator splitting for advection-diffusion-reaction problems. J. Comp. Appl. Math. 111, 201-216 (1999).

A.J.H. MUIJRES, G.C. HERMAN, P.G.J. BUSSINK, Acoustic wave propagation in two-dimensional media containing small-scale heterogeneities. Wave Motion 27, 137-154 (1998).

A.C. PETERSEN, E.J. SPEE, H. VAN DOP, W. HUNDSDORFER, An evaluation and intercomparison of four new advection schemes for use in global chemistry models. J. Geophys. Res. 103, 19,253-19,270 (1998).

H. RAVEN, E.H. VAN BRUMMELEN, A new approach to computing steady free-surface viscous flow problems. In Proceedings of the First MARNET-CFD Workshop, Barcelona, (1999).

G.I. SHISHKIN, L.P. SHISHKINA, P.W. HEMKER, (1997): A Numerical Method with Floating Meshes for Singularly Perturbed Problems with a Concentrated Disturbance in the Initial Data. CWI Quarterly 10, 317-336 1997.

W. SICKEL, F. SPRENGEL, Some error estimates for periodic interpolation of functions from Besov spaces. Advances in Multivariate Approximation 269-288, Mathematical Research 107, Wiley-VCH, Berlin. (1999).

W. SICKEL, F. SPRENGEL, Interpolation on sparse grids and tensor products of Nikol'skij-Besov spaces. Journal of Computational Analysis and Applications 1 261-286 (1999).

B.P. SOMMEIJER, An explicit Runge-Kutta method of order twenty-five. CWI Quarterly 11, 75-82 (1998).

B.P. SOMMEIJER, The iterative solution of fully implicit discretizations of three-dimensional transport models. In Procs. of the 10th Parallel CFD Conference, Taiwan, (1998), 67-74 (1999).

B.P. SOMMEIJER, L.F. SHAMPINE, J.G. VERWER, RKC: An explicit solver for parabolic PDEs. J. Comp. Appl. Math. 88, 315-326 1997

E.J. SPEE, J.G. VERWER, P.M. DE ZEEUW, J.G. BLOM, W. HUNDSDORFER, A numerical study for global atmospheric transport-chemistry problems. Mathematics and Computers in Simulation 48 2, 177-204 (1998).

M.N. SPIJKER, F.A.J. STRAETEMANS, A note on the order of contact between sets in the complex plane. Journ. Math. Anal. Applic. 217, 707-723 (1998).

F. SPRENGEL, A class of function spaces and interpolation on sparse grids. Approximation Theory, Computational Aspects IX, vol. 2, 319-326, Vanderbilt University Press, Nashville. (1999).

F.A.J. STRAETEMANS, Resolvent conditions for discretizations of diffusion-convection-reaction equations in several space dimensions. Appl. Numer. Math. 28, 45-67 (1998).

J.J.B. DE SWART, W.M. LIOEN, Collecting real-life problems to set solvers for implicit differential equations. CWI Quarterly 11, 83-100 (1998).

G.B. VAN BAREN, W.A. MULDER, G.C. HERMAN, Sub-grid finite-difference modeling in cracked media. Proceedings 61st EAGE Conference (1999), Helsinki, EAGE, Houten, 4-09.

M. VAN VELDHUIZEN, J.A. HENDRIKS, C.A.J. APPELO, Numerical Computation in Heterovalent Chromatography. Appl. Num. Math. 28, 69-89 (1998).

J.G. VERWER, W. HUNDSDORFER, J.G. BLOM, Numerical time integration for air pollution models. In: Procs. APMS'98 (Air Pollution Modelling and Simulation '98), ENPC/INRIA, 276-334.

J.G. VERWER, E.J. SPEE, J.G. BLOM, W. HUNDSDORFER, A second order Rosenbrock method applied to photochemical dispersion problems. SIAM J. Sci. Comput. 20, 1456-1480 (1999).

B. ZUBIK-KOWAL, The method of lines for first order partial differential-functional equations, Stud. Scien. Math. Hung., 34, 413-428 (1998).

B. ZUBIK-KOWAL, The method of lines for impulsive functional partial differential equations of the first order. Comm. Appl. Anal. 2, 111-128 (1998).

Ph.D. Theses

E.J. SPEE, Numerical Methods in Global Transport-Chemistry Models. University of Amsterdam, (1998).

W.J.H. STORTELDER, Parameter Estimation in Nonlinear Dynamical Systems. University of Amsterdam, (1998).

Reports and pre-prints

P.J.F. BERKVENS, M.A. BOTCHEV, W.M. LIOEN, J.G. VERWER, A zooming technique for wind transport of air pollution, CWI Report MAS-R9921.

J.G. BLOM, W.M. LIOEN, J.G. VERWER, HPCN and Air Quality Modeling, CWI Report MAS-R9801.

J.G. BLOM, J.G. VERWER, A comparison of integration methods for atmospheric transport-chemistry problems, CWI Report MAS-R9910.

N. BOROVYKH, D. DRISSI, M.N. SPIJKER, A note about Ritt's condition and related resolvent conditions. Report no. 98-10.

N. BOROVYKH, D. DRISSI, M.N. SPIJKER, A note about Ritt's condition and related resolvent conditions. (Revised Version of report TW-98-10). Report no. MI 99-12.

N. BOROVYKH, M.N. SPIJKER, A note on boundedness, in weighted norms, of partial sums of Fourier power series. Report no. 98-04.

N. BOROVYKH, M.N. SPIJKER, Stability estimates and resolvent conditions in the numerical solutions of initial value problems. Report no. MI 99-09.

N. BOROVYKH, M.N. SPIJKER, The sharpness of stability estimates corresponding to a general resolvent condition. Report no. MI 99-33.

E.H. VAN BRUMMELEN, A Godunov-type scheme with applications in hydrodynamics, CWI Report MAS-R9829.

E.H. VAN BRUMMELEN, Analysis of the incompressible Navier-Stokes equations with a quasi free-surface condition, CWI Report MAS-R9922.

H. BRUNNER, P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Splitting methods for partial Volterra integro-differential equations, CWI Report MAS-R9909.

J.L.M. VAN DORSSELAER, M.E. HOCHSTENBACH, H.A. VAN DER VORST, Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method, CWI Report MAS-R9934, (Also appeared as Preprint #1124, Mathematical Institute, Utrecht University, (1999)).

K. ENGELBORGHS, T. LUZYANINA, K.J. IN 'T HOUT, D. ROOSE, Collocation methods for the computation of periodic solutions of delay differential equations. Report no. MI 99-37.

J.E. FRANK, P.J. VAN DER HOUWEN, Parallel iteration of the extended backward differentiation formulas, CWI Report MAS-R9913.

J.E. FRANK, P.J. VAN DER HOUWEN, Diagonalizable extended backward differentiation formulas, CWI Report MAS-R9917.

E.D. HAVIK, P.W. HEMKER, W. HOFFMANN, Application of the over-set grid technique to a model singular perturbation problem, CWI Report MAS-R9931.

P.W. HEMKER, F. SPRENGEL, On the representation of functions and finite difference operators on adaptive sparse grids, CWI Report MAS-R9933.

E.G. VAN DEN HEUVEL, Using resolvent conditions to obtain new stability results for methods for delay differential equations. Report no. 98-01.

E.G. VAN DEN HEUVEL, New stability results for Runge-Kutta methods adapted to delay differential equations. Report no. 98-06.

K.J. IN 'T HOUT, Convergence of Runge-Kutta methods for delay differential equations. Report no. 98-11.

P.J. VAN DER HOUWEN, arallel methods for nonstiff VIDEs, CWI Report MAS-R9811.

P.J. VAN DER HOUWEN, E. MESSINA, Splitting methods for second-order initial value problems, CWI Report MAS-R9809.

P.J. VAN DER HOUWEN, E. MESSINA, Parallel Adams methods, CWI Report MAS-R9810.

P.J. VAN DER HOUWEN, E. MESSINA, B.P. SOMMEIJER, Oscillatory Störmer-Cowell methods, CWI Report MAS-R9813.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Approximate factorization in shallow water applications, CWI Report MAS-R9835.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Factorization in block-triangularly implicit methods for shallow water applications, CWI Report MAS-R9906.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Diagonally implicit Runge-Kutta methods for 3D shallow water applications, CWI Report MAS-R9907.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Approximate factorization for time-dependent partial differential equations, CWI Report MAS-R9915.

W.H. HUNDSDORFER, Partially implicit BDF2 blends for convection dominated flows, CWI Report MAS-R9831.

W.H. HUNDSDORFER, Accuracy and stability of splitting with stabilizing corrections, CWI Report MAS-R9935.

B. KOREN, Note on PARNASSOS, a Navier-Stokes method for ship-stern flows, CWI Report MAS-R9808.

D. LANSER, J.G. BLOM, J.G. VERWER, Spatial discretization of the shallow water equations in spherical geometry using Osher's scheme, CWI Report MAS-R9918.

B. LASTDRAGER, B. KOREN, Error analysis for function representation by the sparse-grid combination technique, CWI Report MAS-R9823.

B. LASTDRAGER, B. KOREN, J.G. VERWER, The sparse-grid combination technique applied to time-dependent advection problems, CWI Report MAS-R9930.

W.M. LIOEN, J.J.B. DE SWART, Test set for initial value problem solvers, CWI Report MAS-R9832.

W.M. LIOEN, J.J.B. DE SWART, W.A. VAN DER VEEN, PSIDE users' guide, CWI Report MAS-R9834.

J. NOORDMANS, Adaptive sparse-grid combination-solutions for a singular perturbation problem, CWI Report MAS-R9916.

W. SICKEL, F. SPRENGEL, Some error estimates for periodic interpolation of functions from Besov spaces, CWI Report MAS-R9826.

M.N. SPIJKER, S. TRACOGNA, B.D. WELFERT, About the sharpness of the stability estimates in the Kreiss matrix theorem. Report no. 98-02.

F. SPRENGEL, Interpolation on sparse Gauss-Chebyshev grids in higher dimensions, CWI Report MAS-9824.

F. SPRENGEL, Some remarks on multilevel algorithms for finite difference discretizations on sparse grids, CWI Report MAS-R9924.

J.J.B. DE SWART, W.M. LIOEN, W.A. VAN DER VEEN, Specification of SPIDE, CWI Report MAS-R9833.

J.G. VERWER, B. SPORTISSE, A note on operator splitting in a stiff linear case, CWI Report MAS-R9801.

B. ZUBIK-KOWAL, Stability in the numerical solution of linear parabolic equations with a delay term. Report no. MI 99-19.

Other publications

P.W. HEMKER, B.W. VAN DER FLIERT, Proceedings of the Thirty-third European Study Group with Industry, CWI Syllabus 46, CWI, Amsterdam. (1999).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, CWI contributions to the development of parallel Runge-Kutta methods, CWI Quarterly (1), 33-53. (1998).

P.J. VAN DER HOUWEN, K. STREHMEL, R. WEINER (EDS.), Selected papers of the Eighth Conference on the Numerical Treatment of Differential Equations, September 1997, Alexisbad (Germany) Appl. Numer. Math. 28. (1998).

W.M. LIOEN, J.J.B. DE SWART, Test set for initial value problem solvers, Release 2.1, Available at http://www.cwi.nl/cwi/projects/IVPtestset/. (1999).

B.P. SOMMEIJER, An explicit Runge-Kutta method of order twenty-five, CWI Quarterly 11(1), 75-82.

W.J.H. STORTELDER, J.J.B. DE SWART, J.D. PINTÉR, Finding elliptic Fekete point sets: two numerical solution approaches, CWI Quarterly 12(1), 63-76. (1999).

J.J.B. DE SWART, W.M. LIOEN, Collecting real-life problems to test solvers for implicit differential equations, CWI Quarterly 11(1), 83-100.

J.J.B. DE SWART, W.M. LIOEN, W.A. VAN DER VEEN, PSIDE - Parallel software for implicit differential equations, Available at http://www.cwi.nl/cwi/projects/PSIDE/.