Articles in Refereed Journals 2002
B. Albers, Linear stability of a 1D flow in porous media under transversal disturbance with adsorption, Arch. Mech. (Arch. Mech. Stos.), 54 (2002) pp. 361--375.
G. Albinus, H. Gajewski, R. Hünlich, Thermodynamic design of energy models of semiconductor devices, Nonlinearity, 15 (2002) pp. 367--383.
A. Bovier, G. caps">Ben Arous, Aging in the random energy model, Phys. Rev. Lett., 88 (2002) pp. 087201/1--087201/4.
A. Bovier, M. Eckhoff, V. Gayrard, M. Klein, Metastability and low lying spectra in reversible Markov chains, Comm. Math. Phys., 228 (2002) pp. 219--255.
A. Bovier, I. Kourkova, M. Löwe, Fluctuations of the free energy in the REM and the $p$-spin SK models, Ann. Probab., 30 (2002) pp. 605--651.
A. Bovier, F. Manzo, Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics, J. Statist. Phys., 107 (2002) pp. 757--779.
A. Bovier, B. Niederhauser, The spin-glass phase-transition in the Hopfield model with $p$-spin interactions, Adv. Theor. Math. Phys., 5 (2001) pp. 1001-1046.
A. Bovier, M. Zahradník, Cluster expansions and Pirogov-Sinai theory for long range spin systems, Markov Process. Related Fields, 8 (2002) pp. 443--478.
G. Bruckner, J. Cheng, M. Yamamoto, An inverse problem in diffractive optics: Conditional stability, Inverse Problems, 18 (2002) pp. 415--433.
E. Bänsch, D. Davis, An operator-splitting finite-element approach to the 8:1 thermal cavity problem, Internat. J. Numer. Methods Fluids, (2002) pp. 1019--1030.
E. Bänsch, P. Morin, R.H. Nochetto, An adaptive Uzawa FEM for Stokes: Convergence without the Inf-Sup, SIAM J. Numer. Anal., 40 (2002) pp. 1207--1229.
E. Bonetti, P. Colli, W. Dreyer, G. Gilardi, G. Schimperna, J. Sprekels, On a model for phase separation in binary alloys driven by mechanical effects, Phys. D, 165 (2002) pp. 48--65.
W. Dreyer, M. Herrmann, M. Kunik, Kinetic schemes and initial boundary value problems, Transport Theory Statist. Phys., 31 (2002) pp. 1--33.
C.M. Brown, W. Dreyer, W.H. Müller, Discrete Fourier transforms and their application to stress-strain problems in composite mechanics: A convergence study, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 458 (2002) pp. 1967--1987.
R. Günther, B.H. Kleemann, J. Elschner, G. Schmidt, Determination of longitudinal and transverse shifts of three-dimensional Gaussian beams reflecting at a grating near an anomaly, J. Modern Opt., 49 (2002) pp. 1785--1793.
J. Elschner, R. Hinder, G. Schmidt, Finite element solution of conical diffraction problems, Adv. Comput. Math., 16 (2002) pp. 139--156.
J. Elschner, M. Yamamoto, An inverse problem in periodic diffractive optics: Reconstruction of Lipschitz grating profiles, Appl. Anal., 81 (2002) pp. 1307--1328.
D.A. Dawson, A.M. Etheridge, K. Fleischmann, L. Mytnik, E.A. Perkins, J. Xiong, Mutually catalytic branching in the plane: Infinite measure states, Electron. J. Probab., 7 (2002) pp. 1-61.
D.A. Dawson, A.M. Etheridge, K. Fleischmann, L. Mytnik, E.A. Perkins, J. Xiong, Mutually catalytic branching in the plane: Finite measure states, Ann. Probab., 30 (2002) pp. 1681--1762.
D.A. Dawson, K. Fleischmann, P. Mörters, Strong clumping of super-Brownian motion in a stable catalytic medium, Ann. Probab., 30 (2002) pp. 1990--2045.
K. Fleischmann, V.A. Vatutin, A. Wakolbinger, Branching systems with long living particles at the critical dimension, Teor. Veroyatnost. i Primenen., 47 (2002) pp. 417--451.
M.A. Efendiev, H. Gajewski, S. Zelik, The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity, Adv. Differential Equations, 7 (2002) pp. 1073--1100.
H. Gajewski, On a nonlocal model of non-isothermal phase separation, Adv. Math. Sci. Appl., 12 (2002) pp. 569--586.
N. Berglund, B. Gentz, Pathwise description of dynamic pitchfork bifurcations with additive noise, Probab. Theory Related Fields, 122 pp. 341--388.
N. Berglund, B. Gentz, Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems, J. Phys. A, 35 (2002) pp. 2057--2091.
N. Berglund, B. Gentz, The effect of additive noise on dynamical hysteresis, Nonlinearity, 15 (2002) pp. 605--632.
N. Berglund, B. Gentz, A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential, Ann. Appl. Probab., 12 (2002) pp. 1419-1470.
N. Berglund, B. Gentz, Metastability in simple climate models: Pathwise analysis of slowly driven Langevin equations, Stoch. Dyn., 2 (2002) pp. 327-356.
J.A. Griepentrog, K. Gröger, H.-Chr. Kaiser, J. Rehberg, Interpolation for function spaces related to mixed boundary value problems, Math. Nachr., 241 (2002) pp. 110--120.
J.A. Griepentrog, Linear elliptic boundary value problems with non-smooth data: Campanato spaces of functionals, Math. Nachr., 243 (2002) pp. 19--42.
K. Gärtner, O. Schenk, Two-level dynamic scheduling in PARDISO: Improved scalability on shared memory multiprocessing systems, Parallel Comput., 28 (2002) pp. 187--197.
R. Henrion, A. Jourani, J. Outrata, On the calmness of a class of multifunctions, SIAM J. Optim., 13 (2002) pp. 603--618.
R. Henrion, A. Jourani, Subdifferential conditions for calmness of convex constraints, SIAM J. Optim., 13 (2002) pp. 520--534.
R. Henrion, On the connectedness of probabilistic constraint sets, J. Optim. Theory Appl., 112 (2002) pp. 657--663.
D. Hömberg, A.M. Khludnev, On safe crack shapes in elastic bodies, Eur. J. Mech. A Solids, 21 (2002) pp. 991-998.
S. Jaschke, The Cornish-Fisher expansion in the context of delta-gamma-normal approximations, J. Risk, 4 (2002) pp. 33--52.
S. Jaschke, Maths of all angles, GARP Risk Review, 6 (2002) pp. 28--33.
H.-Chr. Kaiser, H. Neidhardt, J. Rehberg, Density and current of a dissipative Schrödinger operator, J. Math. Phys., 43 (2002) pp. 5325--5350.
O. Klein, P. Philip, Correct voltage distribution for axisymmetric sinusoidal modeling of induction heating with prescribed current, voltage, or power, IEEE Trans. Magnetics, 38 (2002) pp. 1519--1523.
O. Klein, P. Philip, Transient numerical investigation of induction heating during sublimation growth of silicon carbide single crystals, J. Crystal Growth, 247 (2002) pp. 219--235.
O. Klein, Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions, Interfaces Free Bound., 4 (2002) pp. 47--70.
P. Mathé, S.V. Pereverzev, Direct estimation of linear functionals from indirect noisy observations, J. Complexity, 18 (2002) pp. 500--516.
P. Mathé, S.V. Pereverzev, Moduli of continuity of operator valued functions, Numer. Funct. Anal. Optim., 23 (2002) pp. 623--631.
P. Mathé, Stable summation of orthogonal series with noisy coefficients, J. Approx. Theory, 117 (2002) pp. 66--80.
G.N. Milstein, J.G.M. Schoenmakers, Numerical construction of hedging strategies against multi-asset European claims, Stoch. Stoch. Rep., 73 (2002) pp. 125--157.
P. Imkeller, G.N. Milstein, Moment Lyapunov exponent for conservative systems with small periodic and random perturbations, Stoch. Dyn., 2 (2002) pp. 25--48.
G.N. Milstein, Y.M. Repin, M.V. Tretyakov, Numerical methods for stochastic systems preserving symplectic structure, SIAM J. Numer. Anal., 40 (2002) pp. 1583--1604.
G.N. Milstein, Y.M. Repin, M.V. Tretyakov, Symplectic integration of Hamiltonian systems with additive noise, SIAM J. Numer. Anal., 39 (2002) pp. 2066-2088.
G.N. Milstein, M.V. Tretyakov, The simplest random walks for the Dirichlet problem, Theory Probab. Appl., 47 (2002) pp. 39--58.
G.N. Milstein, M.V. Tretyakov, A probabilistic approach to the solution of the Neumann problem for nonlinear parabolic equations, IMA J. Numer. Anal., 22 (2002) pp. 599--622.
G.N. Milstein, The probability approach to numerical solution of nonlinear parabolic equations, Numer. Methods Partial Differential Equations, 18 (2002) pp. 490--522.
G.N. Milstein, The asymptotic behavior of semi-invariants for linear stochastic systems, Stoch. Dyn., 2 (2002) pp. 281--294.
H.-G. Bartel, H.-J. Mucha, J. Dolata, Automatische Klassifikation in der Archäometrie: Berliner und Mainzer Arbeiten zu oberrheinischen Ziegeleien in römischer Zeit, Berliner Beiträge zur Archäometrie, 19 (2002) pp. 31-62.
P. caps">Dai Pra, S. Rœlly, H. Zessin, A Gibbs variational principle in space-time for infinite dimensional diffusions, Probab. Theory Related Fields, 122 (2002) pp. 289--315.
P.-Y. Louis, P. caps">Dai Pra, S. Rœlly, Stationary measures and phase transition for a class of probabilistic cellular automata, ESAIM Probab. Stat., 6 (2002) pp. 89--104.
S. Rœlly, M. Thieullen, A characterization of reciprocal processes via an integration by parts formula on the path space, Probab. Theory Related Fields, 123 (2002) pp. 97--120.
O. Kurbanmuradov, K. Sabelfeld, J.G.M. Schoenmakers, Lognormal approximations to LIBOR market models, J. Comput. Finance, 6 (2002) pp. 69--100.
K. Sabelfeld, I.A. Shalimova, Random walk on spheres methods for iterative solution of elasticity problems, Monte Carlo Methods Appl., 8 (2002) pp. 171--202.
V.F. Butuzov, N.N. Nefedov, K.R. Schneider, On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation, Comput. Math. Math. Phys., 42 (2002) pp. 176--187.
V.F. Butuzov, N.N. Nefedov, K.R. Schneider, Singularly perturbed dissipative reaction-diffusion systems in case of exchange of stabilities, J. Math. Anal. Appl., 273 (2002) pp. 217--235.
G.A. Leonov, K.R. Schneider, Longtime dynamics in adaptive gain control systems, Lecture Notes in Control and Inform. Sci., 273 (2002) pp. 241--254.
J.G.M. Schoenmakers, A.W. Heemink, K. Ponnambalm, P.E. Kloeden, Variance reduction for Monte Carlo simulation of stochastic environmental models, Appl. Math. Modelling, 26 (2002) pp. 787--795.
J. Sieber, Numerical bifurcation analysis for multisection semiconductor lasers, SIAM J. Appl. Dyn. Syst., 1 (2002) pp. 248--270.
J.L. Horowitz, V. Spokoiny, An adaptive, rate-optimal test of linearity for median regression models, J. Amer. Statist. Assoc., 97 (2002) pp. 822--835.
R. Liptser, A.Y. Veretennikov, V. Spokoiny, Freidlin-Wentzell type moderate deviations for smooth processes, Markov Process. Related Fields, 8 (2002) pp. 611-636.
V. Spokoiny, Variance estimation for high-dimensional regression models, J. Multivariate Anal., 82 (2002) pp. 111--133.
A. Ignat, J. Sprekels, D. Tiba, A model of a general elastic curved rod, Math. Methods Appl. Sci., 25 (2002) pp. 835-854.
J. Sprekels, D. Tiba, An analytic approach to a generalized Naghdi shell model, Adv. Math. Sci. Appl., 12 (2002) pp. 175-190.
N. Kenmochi, J. Sprekels, Phase-field systems with vectorial order parameters including diffusional hysteresis effects, Commun. Pure Appl. Anal., 1 (2002) pp. 495-511.
P. Krejčí, J. Sprekels, U. Stefanelli, Phase-field models with hysteresis in one-dimensional thermovisco-plasticity, SIAM J. Math. Anal., 34 (2002) pp. 409-434.
J. Sprekels, P. Krejčí, Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics, Math. Methods Appl. Sci., 25 (2002) pp. 309-325.
P. Krejčí, J. Sprekels, Parabolic regularization of differential inclusions and the stop operator, Interfaces Free Bound., 4 (2002) pp. 423-435.
D. Turaev, M. Wolfrum, Instabilities of lasers with moderately delayed optical feedback, IEEE J. Quantum Electron., 213 (2002) pp. 127--138.
J. Engländer, D. Turaev, A scaling limit theorem for a class of super diffusions, Ann. Probab., 30 (2002) pp. 683--722.
A. Kirillov, D. Turaev, Modifications of Newton's law of gravity at very large distances, Phys. Lett. B, 532 (2002) pp. 185--192.
S.M. Ermakov, W. Wagner, Monte Carlo difference schemes for the wave equation, Monte Carlo Methods Appl., 8 (2002) pp. 1--30.
A.L. Garcia, W. Wagner, Some new properties of the kinetic equation for the consistent Boltzmann algorithm, Transport Theory Statist. Phys., 31 (2002) pp. 579-594.
M. Kraft, W. Wagner, An efficient stochastic chemistry approximation for the PDF transport equation, Monte Carlo Methods Appl., 8 (2002) pp. 371--394.
I. Edelman, K. Wilmanski, Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interface, Contin. Mech. Thermodyn., 14 (2002) pp. 25--44.
K. Wilmanski, E. Radkevich, O dispersii v modeli dlya poristo-uprugikh sred c uravneniem balanca poristosti, Tr. Semin. im. I. G. Petrovskogo, 22 (2002) pp. 74--104.
TH. Wilhelm, K. Wilmanski, On the onset of flow instabilities in granular media due to porosity inhomogeneities, Internat. J. Multiphase Flows, 28 (2002) pp. 1929--1944.
K. Wilmanski, Thermodynamical admissibility of Biot's model of poroelastic saturated materials, Arch. Mech. (Arch. Mech. Stos.), 54 (2002) pp. 709--736.
M. Wolfrum, A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE, J. Differential Equations, 183 (2002) pp. 56--78.
M. Wolfrum, Geometry of heteroclinic cascades in scalar parabolic differential equations, J. Dynam. Differential Equations, 14 (2002) pp. 207--241.
S. Yanchuk, Preserving of one-sided invariance in R$^n$ with respect to systems of ordinary differential equations, Nonlinear Oscil., 5 (2002) pp. 278--285.
H. Luo, D. Kolb, H.-J. Flad, W. Hackbusch, Th. Koprucki, Wavelet approximation of correlated wavefunctions. II. Hyperbolic wavelets and adaptive approximation schemes, J. Chem. Phys., 117 (2002) pp. 3625-3638.
J.F. Brasche, M. Malamud, H. Neidhardt, Weyl function and spectral properties of self-adjoint extensions, Integral Equations Operator Theory, 43 (2002) pp. 264--289.
V. Cachia, H. Neidhardt, V.A. Zagrebnov, Comments on the Trotter product formula error-bound estimates for nonself-adjoint semigroups, Integral Equations Operator Theory, 42 (2002) pp. 425--448.
H.-J. Wünsche, O. Brox, M. Radziunas, F. Henneberger, Excitability of a semiconductor laser by a two-mode homoclinic bifurcation, Phys. Rev. Lett., 88 (2002) pp. 023901/1--023901/4.
G.C. Hsiao, A. Rathsfeld, Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering, Adv. Comput. Math., 17 (2002) pp. 281--308.
P. Junghanns, A. Rathsfeld, A polynomial collocation method for Cauchy singular integral equations over the interval, Electron. Trans. Numer. Anal., 14 (2002) pp. 63--109.
P. Junghanns, A. Rathsfeld, On polynomial collocation for Cauchy singular integral equations with fixed singularities, Integral Equations Operator Theory, 43 (2002) pp. 155--176.