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Next: Stochastics Up: Analysis Previous: 2.3. Non-lineair Partial Differential

2.4. Numerical Analysis

Papers in journals and proceedings

J.G. BLOM, R.A. TROMPERT, J.G. VERWER, Algorithm 758: VLUGR2: A Vectorizable Adaptive Grid Solver for PDEs in 2D, ACM Trans. Math. Softw., Vol. 22, pp. 302-328 (1996).

J.G. BLOM, J.G. VERWER, Algorithm 759 V:IGR3: Vectorizable Adaptive Grid Solver for PDEs in 3D. II. Code Description, ACM Trans. Math. Software, Vol. 22, 329-347 (1996).

B. BLONK, G.C. HERMAN, G.G. DRIJKONINGEN, An elastodynamic inverse scattering method for removing scattered surface waves from field data, Geophysics 60, No. 6, 1897-1905 (1995).

A. BOOTEN, H.A. VAN DER VORST, Cracking large-scale eigenvalue problems, Part I: Algorithms, Part II: Implementations, Computers in Physics, 10, nr. 3, 239-242 (Part I), resp. nr. 3, 331-334 (Part II) (1996).

A. BOOTEN, D. FOKKEMA, G. SLEIJPEN, H.A. VAN DER VORST (EDS.), Jacobi-Davidson Methods for Generalized MHD-Eigenvalue Problems, Zeitschrift für Angewandte Mathematik und Mechanik, 76, Supplement 1, 131-134 (1996).

J.-A. D´ESID´ERI, P.W. HEMKER, Convergence anaysis of the defect-correction iteration for hyperbolic problems, SIAM J. Sci. Comput., 16 88-118 (1995).

J.L.M. VAN DORSSELAER, An algorithm to compute sets enclosing M-numerical ranges with applications in numerical analysis, Lin. Multilin. Alg. 41, 49-61, (1996).

F.E. ERNST, G.C. HERMAN, Computation of Green's function of laterally varying media by means of a modal expansion, SEG Ann. Internat. Mtg., ISSN 1052-3812, 623-626 (1995).

P.A. FARRELL, P.W. HEMKER, G.I. SHISHKIN, Discrete approximations for singularly perturbed boundary value problems with parabolic layers, i. Journal of Computational Mathematics, 14:71-97 (1996).

P.A. FARRELL, P.W. HEMKER, G.I. SHISHKIN, Discrete approximations for singularly perturbed boundary value problems with parabolic layers, ii. Journal of Computational Mathematics, 14:183-194 (1996).

P.A. FARRELL, P.W. HEMKER, G.I. SHISHKIN, Discrete approximations for singularly perturbed boundary value problems with parabolic layers, iii. Journal of Computational Mathematics, 14:273-290 (1996).

W. VAN GELOVEN, G.C. HERMAN, Crosswell tomography using generalized traveltime inversion, SEG Ann. Internat. Mtg., ISSN 1052-3812, 446-449 (1995).

P.W. HEMKER, P.W., B. KOREN, Defect correction and nonlinear multigrid for steady Euler equations, in: W.G. Habashi, editor, Solution Techniques for Large-scale CFD Problems, 273-291, Chichester, 1995, John Wiley & Sons.

P.W. HEMKER, Sparse-grid finite-volume multigrid for 3D-problems, Advances in Computational Mathematics, 4, 83-110 (1995).

P.W. HEMKER, B. KOREN, Correction and nonlinear multigrid for steady Euler equations. In W.G. Habashi and M.M. Hafez, editors, Computational Fluid Dynamics Techniques, pages 699-718. Gordon and Breach, Basel, 1995.

P.W. HEMKER, B. KOREN, W.M. LIOEN, M. NOOL, H.T.M. VAN DER MAAREL, Multigrid for steady gas dynamics problems. In M. Hafez and K. Oshima, editors, Computational Fluid Dynamics Review, 1995, pages 477-494. John Wiley & Sons, Chichester, 1995.

P.W. HEMKER, Corrigendum on remarks on sparse-grid finite-volume multigrid. Advances in Computational Mathematics, 5:125 - 126 (1996).

P.W. HEMKER, B. KOREN, W.M. LIOEN, M. NOOL, H.T.M. VAN DER MAAREL, Multigrid for steady Gas Dynamics Problems, pp. 477-494 in: M. Hafez and K. Oshima (eds.), Computational Fluid Dynamics Reviews, 1995, Wiley, 1995.

K.J. IN 'T HOUT, On the convergence of waveform relaxation methods for stiff nonlinear ordinary differential equations, Appl. Numer. Math., 18, 175-90 (1995).

K.J. IN 'T HOUT, A note on unconditional maximum norm contractivity of diagonally split Runge-Kutta methods, SIAM J. Numer. Anal. 33, 1125-1134 (1996).

K.J. IN 'T HOUT, On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations, Appl. Numer. Math. 22, 237-250 (1996).

P.J. VAN DER HOUWEN, K. STREHMEL, R. WEINER (EDS.), Selected papers of the Seventh Conference on the Numerical Treatment of Differential Equations, Sept .'94, Halle, Germany. Applied Numerical Mathematics, 18, 1-430 (1995).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, W.A. VAN DER VEEN, Parallel iterat ion across the steps of high-order Runge-Kutta methods for non-stiff initial value problems. JCAM 60, 309-329 (1995).

P.J. VAN DER HOUWEN, The Development of Runge-Kutta Methods for Partial Differential Equations, Appl. Numer. Math. 20, 261-272 (1996).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Iteration of Runge-Kutta methods w ith block-triangular Jacobians, ZAMM 76, 367-375 (1996).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, J.J.B. DE SWART, Parallel predicto r-corrector methods, J. Comput. Appl. Math. 66, 53-71 (1996).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, CWI contributions to the development of parallel Runge-Kutta methods, Appl. Numer. Math. 22, 327-344 (1996).

W.H. HUNDSDORFER, E.J. SPEE, An efficient horizontal advection scheme for modelling of global transport of constituents, Montly Weather Review, 123, No. 12, 3554-3564 (1995).

W.H. HUNDSDORFER, J.G. VERWER, A note on splitting errors for advection- reaction equations. Appl. Numer. Math. 18, 191-199 (1995).

W.H. HUNDSDORFER, B. KOREN, M. VAN LOON, J.G. VERWER, A positive finite-difference advection scheme. J. Comput. Phys., 117 35-46 (1995).

B. KOREN, Condition improvement for point relaxation in multigrid, subsonic Euler-flow computations. Applied Numerical Mathematics, 16:457-469, 1995.

B. KOREN, Improving Euler computations at low Mach numbers. International Journal of Computational Fluid Dynamics, 6:51-70 (1996).

B. KOREN, B. VAN LEER, Analysis of preconditioning and multigrid for Euler flows with low-subsonic regions. Advances in Computational Mathematics, 4 127-144 (1995).

W.M. LIOEN, On the diagonal approximation of full matrices, J. Comput. Appl. Math. 75, 35-42 (1996).

M. VAN LOON, Fast and efficient solution methods for ozone chemistry. In: Air Pollution III, eds. H. Power, N. Moussiopolos and C.A. Brebbia. Computational Mechanics Publications, Southampton-Boston, pp. 335-342 (1995).

H.T.M. VAN DER MAAREL, P.W. HEMKER, Structured adaptive finite-volume multigrid for compressible flows. In W. Hackbusch and G. Wittum, editors, Fast Solvers for Flow Problems, volume 49 of Notes on Numerical Fluid Mechanics, pages 14-37, Brauns

R. NIEUWENHUIZEN, W. ZIJL, M. VAN VELDHUIZEN, Flow Pattern Analysis for a Well Defined by Point Sinks. Transport in Porous Media 21, 209-223, (1995).

J. NOORDMANS., Solutions of highly anisotropic Stokes equations for lubrication problems. In J.-A Désidéri, P. Le Tallec, E. Oñate, J. Périaux, and E. Stein, editors, Proceedings of the second ECCOMAS Conference on Numerical Methods

G.J.A. SEVINK, G.C. HERMAN, 3D nonlinear asymptotic seismic inversion: application to real and synthetic data, SEG, ISSN 1052-3812, 639-642 (1995).

B.P. SOMMEIJER, J. KOK, Implementation and performance of the time integration of a 3D numerical transport model. Int. J. Numer. Meth. Fluids 21, 349-367 (1995).

B.P. SOMMEIJER, J. KOK, Splitting methods for three-dimensional bio-chemical transport, Appl. Numer. Math. 21, 303-320 (1996).

E.J. SPEE, Coupling advection and chemistry in a global atmospheric test model. In: Air Pollution III, eds. H. Power, N. Moussiopolos and C.A. Brebbia. Computational Mechanics Publications, Southampton-Boston, pp. 319-326 (1995).

M.N. SPIJKER, The effect of the stopping of the Newton iteration in implicit linear multistep methods, Appl. Numer. Math. 18, 367-386 (1995).

M.N. SPIJKER, Stiffness in numerical initial-value problems, Journ.Comp. Appl. Math. 72, 393-406 (1996).

M.N. SPIJKER, The effect of stopping Newton-type iterations in implicit linear multistep methods, CWI Quarterly 9, 137-142 (1996).

M.N. SPIJKER, Error propagation in Runge-Kutta methods, Appl. Numer. Math. 22, 309-325 (1996).

M.N. SPIJKER, Error propagation in the numerical solution of initial value problems, Proceedings Recent Advances in Applied Mathematics (RAAM96), Kuwait University, 501-506 (1996).

M.N. SPIJKER, F.A.J. STRAETEMANS, Stability estimates for families of matrices of nonuniformly bounded order, Linear Algebra Appl. 239, 77-102 (1996).

W. STORTELDER, Parameter estimation in dynamic systems. In Proceedings of the IMACS/IFAC First International Symposium on Mathematical Modeling and Simulation in Agriculture and Bio-industries, pages II.C.3-1 to II.C.3-6. Free University of Amsterdam.

W. STORTELDER, Parameter estimation in chemical engineering, a case study for resin production. In F. Keil, W. Mackens, H. Voß, and J. Werther, eds., Scientific Computing in Chemical Engineering, pages 226-238. Springer-Verlag Berlin

W. STORTELDER, Parameter estimation in dynamic systems. Mathematics and Computers in Simulation, 42, Nos. 2-3:135-142, 1996.

W. STORTELDER, Parameter estimation in nonlinear models by using total least squares. In J. Gottlieb and P. DuChateau, editors, Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology, pages 249-259. Kluwer Academ

J.J.B. DE SWART, Efficient parallel predictor-corrector methods, Appl. Numer. Math. 18, 387-396 (1995).

J.J.B. DE SWART, J.G. BLOM, Experiences with Sparse Matrix Solvers in Parallel ODE Software, Computers Math. Applic. 31, 43-55 (1996).

S. TRACOGNA, JACKIEWICZ, Variable stepsize continuous two step Runge-Kutta methods for ordinary differential equations, Numer. Algorithms, 12, 347-368 (1996).

W.A. VAN DER VEEN, Step-parallel algorithms for stiff initial value problems. CMA 30, 9-23 (1995).

W.A. VAN DER VEEN, J.J.B. DE SWART, P.J. VAN DER HOUWEN, Convergence aspects of step-parallel iteration of Runge-Kutta methods, Appl. Numer. Math. 18, 397-411 (1995).

M. VAN VELDHUIZEN, C.A.J. APPELO, J. GRIFFIOEN, The Least squares quotient algorithm as a rapid tool for obtaining sorption isotherms from column elution curves. Water Resources Research 31, 849-857 (1995).

J.G. VERWER, Explicit methods for stiff ODEs from atmospheric chemistry, Appl. Numer. Math. 18, 413-430 (1995).

J.G. VERWER, Explicit Runge-Kutta methods for parabolic partial differential equations, Appl. Numer. Math. 22, 359-380 (1996).

J.G. VERWER, J.G. BLOM, On the coupled solution of diffusion and chemistry in air pollution models, in: Proceedings of the Third International Congress on Industrial and Applied Mathematics (ICIAM/GAMM 95),
ZAMM, Issue 4: Applied Sciences, esp

J.G. VERWER, J.G. BLOM, W.H. HUNDSDORFER, An Implicit-Explicit Approach for Atmospheric Transport-Chemistry Problems, Appl. Numer. Math. 20, 191-209.

J.G. VERWER, J.G. BLOM, M. VAN LOON, E.J. SPEE, A Comparison of Stiff ODE Solvers for Atmospheric Chemistry Problems, Atmospheric Environment 30, 49-58 (1996).

Ph.D. Theses

M. VAN LOON, Numerical methods in smog prediction, 1996, University of Amsterdam.

Reports and pre-prints

C. BEETS, B. KOREN, Large-eddy simulation with accurate implicit subgrid-scale diffusion, CWI Report NM-R9601.

B. BLONK, G.C. HERMAN, Removal of scattered surface waves using multicomponent seismic data, TWI Report 95-07 (1995).

J.G. BLOM, CH. KESSLER AND J.G. VERWER, An Evaluation of the Cray T3D Programming Paradigms in Atmospheric Chemistry/Transport Models, CWI report NM-R9604, (1996), to appear in Proceedings of EUROSIM conference (Delft).

J.G.L. BOOTEN, D. FOKKEMA, G.L.G SLEIJPEN, H.A. VAN DER VORST, Jacobi-Davidson methods for generalized MHD-eigenproblems, CWI Report NM-R9514, August 1995.

A. BOOTEN, H.A. VAN DER VORST, Cracking large-scale eigenvalue problems, Universiteit Utrecht, Department of Mathematics, Preprint nr. 935, November 1995.

C.T.H. EVERAARS, P.W. HEMKER, W. STORTELDER, Manual of spIds, a software package for parameter identification in dynamical systems, Technical Report NM-R9521, CWI (1995).

P.A. FARRELL, P.W. HEMKER, G.I. SHISHKIN, Discrete approximations for singularly perturbed boundary value problems with parabolic layers, Technical Report NM-R9502, CWI (1995).

J. FRANK, W.H. HUNDSDORFER, J.G. VERWER, Stability of implicit-explicit linear multistep methods, NM-R9623.

P.W. HEMKER, Solution of 3D elliptic systems by semi-refinement. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 3:63-82 (1996)

P.W. HEMKER, C. PFLAUM, Approximation on partially ordered sets of regular grids, Technical Report NM-R9611, CWI, Amsterdam (1996).

W. HOFFMANN, J.J.B. DE SWART, Approximating Runge-Kutta matrices by triangular matrices, NM-R9517 CWI (1995).

K.J. IN 'T HOUT, Stability analysis of Runge-Kutta methods for systems of delay differential equations, Report TW-95-08, Dept. Math. Comp. Sc., Leiden University (1995).

K.J. IN 'T HOUT, On the stability of adaptations of the class of Runge-Kutta methods to delay differential equations, Report TW-96-04, Dept. Math. Comp. Sc., Leiden University (1996).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Iteration of Runge-Kutta methods with block triangular Jacobians, NM-R9506 CWI (1995).

P.J. VAN DER HOUWEN, J.J.B. DE SWART, Triangularly implicit iteration methods for ODE-IVP solvers, NM-R9510 CWI (1995).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Splitting methods for three-dimensional transport models with interaction terms, NM-R9516 CWI (1995).

P.J. VAN DER HOUWEN, W.A. VAN DER VEEN, Solving implicit differential equations on parallel computers, NM-R9526 CWI (1995).

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, CWI contributions to the development of parallel Runge-Kutta methods, NM-R9608.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, Euler-Chebyshev methods for integro-differential equations, NM-R9612.

P.J. VAN DER HOUWEN, E. MESSINA, Parallel linear system solvers for Runge-Kutta-Nyström methods, NM-R9613.

P.J. VAN DER HOUWEN, J.J.B. DE SWART, Parallel Linear System Solvers for Runge-Kutta Methods, NM-R9616.

P.J. VAN DER HOUWEN, W.A. VAN DER VEEN, Waveform relaxation methods for implicit differential equations, NM-R9617.

P.J. VAN DER HOUWEN, B.P. SOMMEIJER, J. KOK, The Iterative Solution of Fully Implicit Discretizations of Three-Dimensional Transport Models, NM-R9621.

P.J. VAN DER HOUWEN, W.A. VAN DER VEEN, Solving implicit differential equations on parallel computers, NM-R9526 CWI (1995).

W.H. HUNDSDORFER, Trapezoidal and Midpoint Splittings for Initial-Boundary Value Problems, NM-R9605.

W.H. HUNDSDORFER, A Note on Stability of the Douglas Splitting Method, NM-R9606.

W.H. HUNDSDORFER, Numerical solution of advection-diffusion-reaction equations - lectures notes, NM-N9603.

CH. KESSLE, J.G. BLOM, J.G. VERWER, Porting a 3D-model for the transport of reactive air pollutants to the parallel machine T3D, NM-R9519 CWI (1995).

B. KOREN, Computational forging in the Eulerian formulation at MacNeal-Schwendler (E.D.C.) B.V., Technical Report NM-N9601, CWI, Amsterdam, 1996.

B. KOREN, P.F.M. MICHIELSEN, J.W. KARS, P.WESSELING, A computational method for oleo-acoustics, application to hydraulic shock absorbers, Technical Report NM-R9515, CWI (1995).

W.M. LIOEN, J.J.B. DE SWART, W.A. VAN DER VEEN, Test set for IVP solvers, NM-R9615.

W.M. LIOEN, On the diagonal approximation of full matrices, CWI Report NM-R9518, October 1995.

M. VAN LOON, Fast and efficient solution methods for ozone chemistry, NM-N9501 CWI (1995).

M. VAN LOON, Numerical smog prediction II: grid refinement and its application to the Dutch smog prediction model, NM-R9523 CWI (1995).

E. MESSINA, J.J.B. DE SWART, W.A. VAN DER VEEN, Parallel iterative linear solvers for Multistep Runge-Kutta methods, NM-R9619.

J.D. PINTéR: LGO, An implementation of a Lipschitzian global optimization procedure, user's guide, Technical Report NM-R922, CWI (1995).

A. VAN DER PLOEG, Reordering strategies and LU-decomposition of block tridiagonal matrices for parallel processing, CWI Report NM-R9618.

J.A. SANDERS, The transition of light through several media - a Lie theoretic approach 8 RIACA, Amsterdam (1995).

J.A. SANDERS, J.P. WANG, Hodge decomposition and conservation laws WS-441, Free University, Amsterdam (1995).

J.A. SANDERS, J.P. WANG, On the (non)existence of conservation laws for evolution equations, WS-445, Free University Amsterdam (1995).

J.A. SANDERS, J.P. WANG, Classification of conservation laws for KdV-like equations. I, WS-468, Free University Amsterdam (1996).

A. SANDU, J.G. VERWER, M. VAN LOON, G.R. CARMICHAEL, F.A. POTRA, D. DABDUB, J.H. SEINFELD, Benchmarking Stiff ODE Solvers for Atmospheric Chemistry Problems I: Implicit versus Explicit, NM-R9603.

A. SANDU, J.G. BLOM, J.G. VERWER, E.J. SPEE, G.R. CARMICHAEL, Benchmarking Stiff ODE Solvers for Atmospheric Chemistry Problems II: Rosenbrock Methods, NM-R9614.

G.J.A. SEVINK, G.C. HERMAN, Three-dimensional, nonlinear, asymptotic seismic inversion, TWI Report 95-63 (1995).

G.L.G. SLEIJPEN, A.G.L. BOOTEN, D.R. FOKKEMA, H.A. VAN DER VORST, Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems: Part I, Utrecht University, Department of Mathematics, Preprint nr. 923, September 199

B.P. SOMMEIJER, J. KOK, A vector/parallel method for a three-dimensional transport model coupled with biochemical terms, NM-R9503 CWI (1995).

B.P. SOMMEIJER, J. KOK, Splitting methods for three-dimensional bio-chemical transport, NM-R9607.

E.J. SPEE, Coupling advection and chemical kinetics in a global atmospheric test model, NM-R9508 CWI (1995).

E.J. SPEE, P.M. DE ZEEUW, J.G. BLOM, J.G. VERWER, W.H. HUNDSDORFER, Vectorization and Parallelizatio of a Numerical Scheme for 3D Global Atmospheric Transport-Chemistry Problems, NM-R9620.

M.N. SPIJKER, Error propagation in Runge-Kutta methods, Report TW-96-03, Dept. Math. Comp. Sc., Leiden University (1996).

M.N. SPIJKER, Numerical Stability, Resolvent Conditions and Delay Differential Equations, Report TW-96-05, Dept. Math. Comp. Sc., Leiden University (1996).

M.N. SPIJKER, F.A.J. STRAETEMANS, Linear stability analysis and stability regions in the numerical solution of initial value problems, Report TW-95-02, Dep. Math. Comp. Sc., Leiden University (1995).

M.N. SPIJKER, F.A.J. STRAETEMANS, Error growth analysis, via stability regions, for discretizations of initial value problems (Revised Version), Report TW-96-01, Dept. Math. Comp. Sc., Leiden University (1996).

M.N. SPIJKER, F.A.J. STRAETEMANS, A note on the order of contact between sets in the complex plane, Report TW-96-06, Dept. Math. Comp. Sc., Leiden University (1996).

W. STORTELDER, Parameter estimation in chemical engineering; a case study for resin production, Technical Report NM-R9610, CWI, 1996.

J.J.B. DE SWART, J.G. BLOM, Experiences with sparse matrix solvers in parallel ODE software, NM-R9520 CWI (1995).

S. TRACOGNA, Implementation of Two-step Runge-Kutta methods for ordinary differential equations, Technical Report n. 135, Arizona State University, Department of Mathematics, Tempe, AZ 85287-1804, USA.

S. TRACOGNA, J.C. BUTCHER, Order conditions for Two-Step Runge-Kutta methods, Technical Report n. 136, Arizona State University, Department of Mathematics, Tempe, AZ 85287-1804, U.S.A.

W.A. VAN DER VEEN, Step-parallel algorithms for stiff initial value problems, NM-R9507 CWI (1995).

J.G. VERWER, J.G. BLOM, W.H. HUNDSDORFER, An implicit-explicit approach for atmospheric transport-chemistry problems, NM-R9501 CWI (1995).

J.G. VERWER, J.G. BLOM, M. VAN LOON, E.J. SPEE, A comparison of stiff ODE solvers for atmospheric chemistry problems, NM-R9505 CWI (1995).

J.G. VERWER, J.G. BLOM, On the coupled solution of diffusion and chemistryin air pollution models, NM-R9509 CWI (1995).

J.G. VERWER, Explicit Runge-Kutta methods for parabolic partial differential equations, NM-R9602.

J.G. VERWER, J.M. SANZ-SERNA, Workshop Innovative Time Integrators, NM-N9602.

P.M. DE ZEEUW, Development of semi-coarsening and sparse-grid techniques, Technical Report NM-R9504, CWI, 1995.

Other publications

G.T. ANTHONY, H.M. ANTHONY, B. BITTNER, B.P. BUTLER, M.G. COX, R. DRIESCHNER, R. ELLIGSEN, A.B. FORBES, H. GROSS, S.A. HANNABY, P.M. HARRIS, J. KOK, References software for finding Chebyshev best-fit geometric elements, Precision Engineering.

G.C. HERMAN, A.W. HEEMINK, Rekenen naar de realiteit, Natuur en Techniek, 63e jaargang 11, ISSN 0028-1093, 772-783 (1995).

H.J.J. TE RIELE, H.A. VAN DER VORST (EDITORS), Special Issue on Massively Parallel Computing and Applications, Applied Numerical Mathematics, Vol. 19, November 1995, pp. 1-171.

A. STEWART, M. NOOL, H.J.J. TE RIELE, D.T. WINTER, An investigation of data reuse on the Cray S-MP system 500, Supercomputer, vol. XI-1, nr. 59 (1994/1995).


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Next: Stochastics Up: Analysis Previous: 2.3. Non-lineair Partial Differential

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