Search Results - "Schwab, Christoph"

ISOTROPIC GAUSSIAN RANDOM FIELDS ON THE SPHERE: REGULARITY, FAST SIMULATION AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS by Lang, Annika, Schwab, Christoph

“…Isotropic Gaussian random fields on the sphere are characterized by Karhunen–Loève expansions with respect to the spherical harmonic functions and the angular…”
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Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations by RAUHUT, HOLGER, SCHWAB, CHRISTOPH

“…We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of…”
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DeepCME: A deep learning framework for computing solution statistics of the chemical master equation by Gupta, Ankit, Schwab, Christoph, Khammash, Mustafa

“…Stochastic models of biomolecular reaction networks are commonly employed in systems and synthetic biology to study the effects of stochastic fluctuations…”
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Direct solution of the Chemical Master Equation using quantized tensor trains by Kazeev, Vladimir, Khammash, Mustafa, Nip, Michael, Schwab, Christoph

“…The Chemical Master Equation (CME) is a cornerstone of stochastic analysis and simulation of models of biochemical reaction networks. Yet direct solutions of…”
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Space-time adaptive wavelet methods for parabolic evolution problems by Schwab, Christoph, Stevenson, Rob

“…With respect to space-time tensor-product wavelet bases, parabolic initial boundary value problems are equivalently formulated as bi-infinite matrix problems…”
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Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems by KUO, FRANCES Y., SCHEICHL, ROBERT, SCHWAB, CHRISTOPH, SLOAN, IAN H., ULLMANN, ELISABETH

“…multilevel Quasi-Monte Carlo finite element discretisations and give a constructive proof of the dimension-independent convergence of the QMC rules. More…”
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First order k-th moment finite element analysis of nonlinear operator equations with stochastic data by Chernov, Alexey, Schwab, Christoph

“…-point correlation equation in anisotropic smoothness scales and deduce that sparse tensor Galerkin discretizations of this equation converge in accuracy vs…”
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hp-dGFEM for second-order mixed elliptic problems in polyhedra by Schötzau, Dominik, Schwab, Christoph, Wihler, Thomas P.

“…We prove exponential rates of convergence of hp-geometric anisotropic meshes of mapped hexahedra and anisotropic polynomial degree distributions of \mu…”
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Crystal structure and Hirshfeld surface analysis of N- {[diphenyl(vinyl)silyl]methyl}-2-methylpropan-2-ammonium chloride by Schwab, Christoph, Voss, Andreas, Strohmann, Carsten

“…N -{[Diphenyl(vinyl)silyl]methyl}-2-methylpropan-2-amine, C 19 H 25 NSi, is a newly synthesized secondary aminomethylsilane that can be used, for example, to…”
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Efficient Characterization of Parametric Uncertainty of Complex (Bio)chemical Networks by Schillings, Claudia, Sunnåker, Mikael, Stelling, Jörg, Schwab, Christoph

“…Parametric uncertainty is a particularly challenging and relevant aspect of systems analysis in domains such as systems biology where, both for inference and…”
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The use of dermatoscopy in diagnosis and therapy of nonmelanocytic skin cancer by Deinlein, Teresa, Richtig, Georg, Schwab, Christoph, Scarfi, Federica, Arzberger, Edith, Wolf, Ingrid, Hofmann-Wellenhof, Rainer, Zalaudek, Iris

“…Summary Today, dermatoscopy is an integral part of every clinical skin examination, as it markedly enhances the early detection of melanocytic and…”
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Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations by Dick, Josef, Kuo, Frances Y., Le Gia, Quoc T., Schwab, Christoph

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Evolution of Early Changes at the Vitreoretinal Interface After Cataract Surgery Determined by Optical Coherence Tomography and Ultrasonography by Ivastinovic, Domagoj, Schwab, Christoph, Borkenstein, Andreas, Lackner, Eva-Maria, Wedrich, Andreas, Velikay-Parel, Michaela

“…Purpose To evaluate the onset of posterior vitreous detachment (PVD) including early changes at the vitreoretinal interface after uneventful…”
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Adaptive wavelet algorithms for elliptic PDE's on product domains by Schwab, Christoph, Stevenson, Rob

“…With standard isotropic approximation by (piecewise) polynomials of fixed order in a domain D\subset \mathbb{R}^d, the convergence rate in terms of the number…”
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Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method by Schötzau, Dominik, Schwab, Christoph

“…The discontinuous Galerkin finite element method (DGFEM) for the time discretization of parabolic problems is analyzed in the context of the hp-version of the…”
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Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problems by Castillo, Paul, Cockburn, Bernardo, Schotzau, Dominik, Schwab, Christoph

“…We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider…”
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Adjuvant therapy for children treated by enucleation at diagnosis of retinoblastoma by Diarra, Yelena, Brockmeyer, Christina, Fischhuber, Karen, Hülsenbeck, Isabel, Ting, Saskia, Reschke, Madlen, Kiefer, Tobias, Hannbücken, Anna, Wagemanns, Maren, Jabbarli, Leyla, Sirin, Selma, Wieland, Regina, Fleischhack, Gudrun, Schulte, Johannes H., Ebinger, Martin, Lohmann, Dietmar, Müller, Bert, Süsskind, Daniela, Schwab, Christoph, Brecht, Ines, Eggert, Angelika, Schönberger, Stefan, Ritter-Sovinz, Petra, Bechrakis, Nikolaos, Göricke, Sophia, Timmermann, Beate, Biewald, Eva, Ketteler, Petra

“…Advanced localized retinoblastoma can be cured by enucleation, but extraocular spread of retinoblastoma cells is associated with a high mortality…”
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Late seed migration after prostate brachytherapy with Iod-125 permanent implants by Maletzki, Philipp, Schwab, Christoph, Markart, Patrick, Engeler, Daniel, Schiefer, Johann, Plasswilm, Ludwig, Schmid, Hans-Peter

“…Seed migration is a common finding after low dose rate brachytherapy of the prostate. It has often been assessed soon after implantation, but little is known…”
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Prevalence of early and late stages of physiologic PVD in emmetropic elderly population by Schwab, Christoph, Ivastinovic, Domagoj, Borkenstein, Andreas, Lackner, Eva-Maria, Wedrich, Andreas, Velikay-Parel, Michaela

“… Purpose:  To investigate the early and late stages of posterior vitreous detachment (PVD) in the foveal area in correlation with age and gender. Methods: …”
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Monte Carlo convergence rates for kth moments in Banach spaces by Kirchner, Kristin, Schwab, Christoph

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