Berlin Heidelberg New Research Articles

On the windings of complex-valued Ornstein–Uhlenbeck processes driven by a Brownian motion and by a stable process

We deal with a complex-valued Ornstein–Uhlenbeck (OU) process with parameter starting from a point different from 0 and the way that it winds around the origin. The starting point of this paper is the skew product representation for an OU process which is associated with the skew product representation of its driving planar Brownian motion (BM) under a new deterministic time scale. We present the stochastic differential equations for the radial and for the winding process. Moreover, we obtain the large time (analogue of Spitzer's Theorem for BM in the complex plane) and the small time asymptotics for the winding and for the radial process, and we explore the exit time from a cone for a 2-dimensional OU process. Some limit theorems concerning the angle of the cone (when our process winds in a cone) and the parameter are also presented. Furthermore, we discuss the decomposition of the winding process of a complex-valued OU process in ‘small’ and ‘big’ windings, where, for the ‘big’ windings, we use some results already obtained by J. Bertoin and W. Werner [Asymptotic windings of planar Brownian motion revisited via the Ornstein-Uhlenbeck process. Sém. Prob., XXVIII, Lect. Notes in Mathematics 1583, Springer, Berlin Heidelberg New York, 1994, pp. 138–152] and we show that only the ‘small’ windings contribute in the large time limit. Finally, we study the windings of a complex-valued OU process driven by a stable process and we obtain similar results for its (well-defined) winding and radial process.

A 6-year-old girl with progressive ataxia

A 6-year-old girl with progressive ataxia

Correlation of high-risk human papilloma viruses but not of herpes viruses or Chlamydia trachomatis with endometriosis lesions

To investigate whether sexually transmitted viruses or prokaryotes, like human papilloma viruses (HPV), herpes viruses, and Chlamydia trachomatis, are associated with endometriosis lesions. Sixty-six endometriosis lesions from 56 patients, including 49 peritoneum, 16 ovarian, and one endometrium, were analyzed using polymerase chain reaction-based ELISA and Invader technology. Thirty control tissues including endometrium and peritoneum from patient-matched (n = 13) and patients without endometriosis (n = 13) and one cervical carcinoma were tested for HPV DNA. University hospital. Seventy individual patients with and without endometriosis. Laparoscopy or laparotomy was performed, and endometriotic lesions were isolated. Herpes viruses and Chlamydia trachomatis were not detected in endometriosis lesions. High-risk and medium-risk HPV were detected in 11.3% of lesions, corresponding to 13.2% of patients. In addition, 27.5% of control tissues were positive for HPV high and medium risk. One HPV18-positive ovarian endometriosis also associated with an ovarian carcinoma. Associating clinical history with HPV-positive endometriosis and control tissues, all patients had a prior HPV cervical infection. HPV infection in endometriosis lesions including control tissues supports spreading of the virus or HPV-infected endometrial cells via retrograde menstruation. Owing to an association of HPV in carcinomas, we propose that persistent HPV infection of endometriosis lesions could contribute to malignant progression.

Rapid UPLC-MS/MS method for routine analysis of plasma pristanic, phytanic, and very long chain fatty acid markers of peroxisomal disorders

Quantification of pristanic acid, phytanic acid, and very long chain fatty acids (i.e., hexacosanoic, tetracosanoic, and docosanoic acids) in plasma is the primary method for investigateing a multitude of peroxisomal disorders (PDs). Typically based on GC-MS, existing methods are time-consuming and laborious. In this paper, we present a rapid and specific liquid chromatography tandem mass spectrometric method based on derivatization with 4-[2-(N,N-dimethylamino)ethylaminosulfonyl]-7-(2-aminoethylamino)-2,1,3-benzoxadiazole (DAABD-AE). Derivatization was undertaken to improve the poor mass spectrometric properties of these fatty acids. Analytes in plasma (20 mul) were hydrolyzed, extracted, and derivatized with DAABD-AE in approximately 2 h. Derivatives were separated on a reverse-phase column and detected by positive-ion electrospray ionization tandem mass spectrometry with a 5 min injection-to-injection time. Calibration plots were linear over ranges that cover physiological and pathological concentrations. Intraday (n = 12) and interday (n = 10) variations at low and high concentrations were less than 9.2%. Reference intervals in normal plasma (n = 250) were established for each compound and were in agreement with the literature. Using specimens from patients with established diagnosis (n = 20), various PDs were reliably detected. In conclusion, this method allows for the detection of at least nine PDs in a 5 min analytical run. Furthermore, this derivatization approach is potentially applicable to other disease markers carrying the carboxylic group.

Causes for “ghost” manifolds

The paper concerns intrinsic low-dimensional manifold (ILDM) method suggested in [Maas U, Pope SB. Simplifying chemical kinetics: intrinsic low-dimensional manifolds in composition space, combustion and flame 1992;88:239–64] for dimension reduction of models describing kinetic processes. It has been shown in a number of publications [Goldfarb I, Gol’dshtein V, Maas U. Comparative analysis of two asymptotic approaches based on integral manifolds. IMA J Appl Math 2004;69:353–74; Kaper HG, Kaper TJ, Asymptotic analysis of two reduction methods for systems of chemical reactions. Phys D 2002;165(1–2):66–93; Rhodes C, Morari M, Wiggins S. Identification of the low order manifolds: validating the algorithm of Maas and Pope. Chaos 1999;9(1):108–23] that the ILDM-method works successfully and the intrinsic low-dimensional manifolds belong to a small vicinity of invariant slow manifolds. The ILDM-method has a number of disadvantages. One of them is appearance of so-called “ghost”-manifolds, which do not have connection to the system dynamics [Borok S, Goldfarb I, Gol’dshtein V. “Ghost” ILDM – manifolds and their discrimination. In: Twentieth Annual Symposium of the Israel Section of the Combustion Institute, Beer-Sheva, Israel; 2004. p. 55–7; Borok S, Goldfarb I, Gol’dshtein V. About non-coincidence of invariant manifolds and intrinsic low-dimensional manifolds (ILDM). CNSNS 2008;71:1029–38; Borok S, Goldfarb I, Gol’dshtein V, Maas U. In: Gorban AN, Kazantzis N, Kevrekidis YG, Ottinger HC, Theodoropoulos C, editors. “Ghost” ILDM-manifolds and their identification: model reduction and coarse-graining approaches for multiscale phenomena. Berlin–Heidelberg–New York: Springer; 2006. p. 55–80; Borok S, Goldfarb I, Gol’dshtein V. On a modified version of ILDM method and its asymptotic analysis. IJPAM 2008; 44(1): 125–50; Bykov V, Goldfarb I, Gol’dshtein V, Maas U. On a modified version of ILDM approach: asymptotic analysis based on integral manifolds. IMA J Appl Math 2006;71:359–82; Flockerzi D. Tutorial: intrinsic low-dimensional manifolds and slow attractors. Magdeburg: Max-Planck-Institut; 2001–2005. <www.mpi-magdeburg.mpg.de/people/flocke/tutorial-ildm.pdf>; Flockerzi D, Heineken W. Comment on “Identification of low order manifolds: validating the algorithm of Maas and Pope”. Chaos 1999;9:108–23; Flockerzi D, Heineken W. Comment on “Identification of low order manifolds: validating the algorithm of Maas and Pope”. Chaos 2006;16:048101]. The present work studies the causes for the “ghost” manifolds appearance for the case of a two-dimensional singularly perturbed system.

Nematic polymer mechanics: flow-induced anisotropy

In this paper, we model and compute flow-induced mechanical properties of nematic polymer nano-composites, consisting of transversely isotropic rigid spheroids in an isotropic matrix. Our goal is to fill a gap in the theoretical literature between random and perfectly aligned spheroidal composites (Odegard et al. in Compos. Sci. Technol. 63, 1671–1687, 2003; Gusev et al. in Adv. Eng. Mater. 4(12), 927–931 2002; Torquato in Random heterogeneous materials. Springer, Berlin Heidelberg New York, 2002; Milton in The Theory of Composites. Cambridge University Press, Cambridge, 2002) by modeling the influence of nano-particle volume fraction, flow type and flow rate on nano-composite elasticity tensors. As these influences vary, we predict the degree of elastic anisotropy, determining the number of independent moduli, and compute their values relative to the nano-particle and matrix moduli. We restrict here to monodomains, addressing features associated with orientational configurations of the rod or platelet ensemble. The key modeling advance is the transfer of symmetries (Forest et al. in Phys. Fluids 12(3), 490–498, 2000) and numerical databases (Forest et al. in Rheol. Acta 43(1), 17–37, 2004a, Rheol. Acta 44(1), 80–93, 2004b) for the orientational probability distribution function of the nematic polymer ensemble into the classical Mori–Tanaka effective elasticity tensor formalism. Isotropic, transversely isotropic, orthotropic, monoclinic, and maximally anisotropic elasticity tensors are realized as volume fraction, imposed flow type and flow strength are varied, with 2, 5, 9, 13 or 21 independent moduli for the various symmetries.

Hyper and strong singularities of the Fourier BEM

The range of applications of Boundary Element Methods (BEM) is restricted to cases where the fundamental solution is known. An approach recently developed by the author via the Fourier transform generalizes the BEM to the so-called Fourier BEM (Fourier BEM—generalization of boundary element methods by Fourier Transform. Springer, Berlin Heidelberg New York, 2002). There, new boundary integral equations (BIE) are formulated, which consist only of Fourier transformed terms and lead to equivalent matrices as in the standard approach. They make use of only the Fourier transform of the fundamental solution, which is much easier to obtain (available for all cases as long as the differential operator is linear and has constant coefficients). No inverse transform and no fundamental solution in the original space are required. Here, the theory is summarized and an example of anisotropic elasticity is given to motivate the discussion of singularities, which is the topic of this paper. It is shown, that all types of singularities (weak, strong, and hyper) occur as in the standard approach and that they require a new treatment because they are originating from newly developed integral equations. The main result is that the non-regular parts of the strong and hyper singular integrals cancel if ordered correctly.

A shorter proof of Kanter’s Bessel function concentration bound

We give a shorter proof of Kanter’s (J. Multivariate Anal. 6, 222–236, 1976) sharp Bessel function bound for concentrations of sums of independent symmetric random vectors. We provide sharp upper bounds for the sum of modified Bessel functions I0(x) + I1(x), which might be of independent interest. Corollaries improve concentration or smoothness bounds for sums of independent random variables due to Cekanavicius & Roos (Lith. Math. J. 46, 54–91, 2006); Roos (Bernoulli, 11, 533–557, 2005), Barbour & Xia (ESAIM Probab. Stat. 3, 131–150, 1999), and Le Cam (Asymptotic Methods in Statistical Decision Theory. Springer, Berlin Heidelberg New York, 1986).

Mechanics of extended continua: modeling and simulation of elastic microstretch materials

The investigation of microstretch and micromorphic continua (which are prominent examples of so-called extended continua) dates back to Eringens pioneering works in the mid 1960, cf. (Eringen in Mechanics of micromorphic materials. Springer, Berlin Heidelberg New York, pp 131–138, 1966; Eringen in Int J Eng Sci 8:819–828; Eringen in Microcontinuum field theories. Springer, Berlin Heidelberg New York, 1999). Here, we re-derive the governing equations of microstretch continua in a variational setting, providing a natural framework within which numerical implementations of the model equations by means of the finite element method can be obtained straightforwardly. In the application of Dirichlets principle, the postulation of an appropriate form of the Helmholtz free energy turns out to be crucial to the derivation of the balance laws and constitutive relations for microstretch continua. At present, the material parameters involved in the free energy have been assigned fixed values throughout all numerical simulations—this simplification is addressed in detail as the influence of those parameters must not be underestimated. Since only few numerical results demonstrating elastic microstretch material behavior in engineering applications are available, the focus is here on the presentation of numerical results for simple twodimensional test specimens subjected to a plane strain condition and uniaxial tension. Confidence in the simulations for microstretch materials is gained by showing that they exhibit a “downward-compatibility” to Cosserat continuum formulation: by switching off all stretch-related effects, the governing set of equations reduces to the one used for polar materials. Further, certain material parameters can be chosen to act as penalty parameters, forcing stretch-related contributions to an almost negligible range in a full microstretch model so that numerical results obtained for a polar model can be obtained as a limiting case from the full microstretch model.

Microlocal study of topological Radon transforms and real projective duality

Various topological properties of projective duality between real projective varieties and their duals are obtained by making use of the microlocal theory of (subanalytically) constructible sheaves developed by Kashiwara [M. Kashiwara, Index theorem for constructible sheaves, Astérisque 130 (1985) 193–209] and Kashiwara–Schapira [M. Kashiwara, P. Schapira, Sheaves on Manifolds, Grundlehren Math. Wiss., vol. 292, Springer, Berlin–Heidelberg–New York, 1990]. In particular, we prove in the real setting some results similar to the ones proved by Ernström in the complex case [L. Ernström, Topological Radon transforms and the local Euler obstruction, Duke Math. J. 76 (1994) 1–21]. For this purpose, we describe the characteristic cycles of topological Radon transforms of constructible functions in terms of curvatures of strata in real projective spaces.

Topology optimization of 2D continua for minimum compliance using parallel computing

Topology optimization is often used in the conceptual design stage as a preprocessing tool to obtain overall material distribution in the solution domain. The resulting topology is then used as an initial guess for shape optimization. It is always desirable to use fine computational grids to obtain high-resolution layouts that minimize the need for shape optimization and postprocessing (Bendsoe and Sigmund, Topology optimization theory, methods and applications. Springer, Berlin Heidelberg New York 2003), but this approach results in high computation cost and is prohibitive for large structures. In the present work, parallel computing in combination with domain decomposition is proposed to reduce the computation time of such problems. The power law approach is used as the material distribution method, and an optimality criteria-based optimizer is used for locating the optimum solution [Sigmund (2001)21:120–127; Rozvany and Olhoff, Topology optimization of structures and composites continua. Kluwer, Norwell 2000]. The equilibrium equations are solved using a preconditioned conjugate gradient algorithm. These calculations have been done using a master–slave programming paradigm on a coarse-grain, multiple instruction multiple data, shared-memory architecture. In this study, by avoiding the assembly of the global stiffness matrix, the memory requirement and computation time has been reduced. The results of the current study show that the parallel computing technique is a valuable tool for solving computationally intensive topology optimization problems.

Localized Thickening of a Compressed Elastic Band

An infinite elastic band is compressed along its unbounded direction, giving rise to a continuous family of homogeneous configurations that is parameterized by the compression rate β < 1 (β = 1 when there is no compression). It is assumed that, for some critical value β0, the compression force as a function of β has a strict local extremum and that the linearized equation around the corresponding homogeneous configuration is strongly elliptic. Under these conditions, there are nearby localized deformations that are asymptotically homogeneous. When the compression force reaches a strict local maximum at β0, they describe localized thickening and they occur for values of β slightly smaller than β0. Since the material is supposed to be hyperelastic, homogeneous and isotropic, the localized deformations are not due to localized imperfections. The method follows the one developed by A. Mielke for an elastic band under traction: interpretation of the nonlinear elliptic system as an infinite dimensional dynamical system in which the unbounded direction plays the role of time, its reduction to a center manifold and the existence of a homoclinic solution to the reduced finite dimensional problem in [A. Mielke, Hamiltonian and Lagrangian fiows on center manifolds, Lecture Notes in Mathematics 1489. Springer, Berlin Heidelberg New York, 1991]. The main difference lies in the fact that Agmon's condition does not hold anymore and therefore the linearized problem cannot be analyzed as in Mielke's work.

Commentary by Lawrence D. Longo, MD

The concept that the placenta and fetus, in concert with the mother, consists of a unit for hormonal synthesis and metabolism derived from the work of Diczfalusy et al. 1 Diczfalusy E. Das Verhalten von Choriongonadotropin und Oestrogenen in der menschlichen Placenta. 3. Symposium der Deutschen Gesellschaft für Endocrinologie, über probleme der fetalen Endocrinologie (in German). Berlin Heidelberg New York: Springer-Verlag;1970. p. 32-46. Google Scholar , 2 Diczfalusy E. Endocrine functions of the human fetus and placenta. Am J Obstet Gynecol. 1974; 119: 419-433 Abstract Full Text PDF Scopus (64) Google Scholar , 3 Mathur R.S. Archer D.F. Wiqvist N. Diczfalusy E. Quantitative assessment of the de novo sterol and steroid synthesis in the human foeto-placental unit: I, synthesis and secretion of cholesterol and cholesterol sulphate. Acta Endocrinol. 1970; 65: 663-674 PubMed Google Scholar , 4 van Leusden H.A. Siemerink M. Telegdy G. Diczfalusy E. Squalane and lanosterol synthesis in the foeto-placental unit of midgestation. Acta Endocrinol. 1971; 66: 711-719 PubMed Google Scholar In the case of steroid biosynthesis, by aromatization, the placenta converts 16α-hydroxy dehydroepiandrosterone sulfate that is made by the fetus from dehydroepiandrosterone sulfate into estriol. This is secreted into the maternal circulation and is the main estrogen metabolite that is excreted in the mother's urine. The fetus also can initiate the pathways for conversion of cholesterol to pregnenolone and on to dehydroepiandrosterone sulfate. Thus, the placenta, in concert with several fetal organs, plays a unique role in the regulation of steroid hormone production in pregnancy. Endocrine functions of the human fetoplacental unitAmerican Journal of Obstetrics & GynecologyVol. 193Issue 6Preview Full-Text PDF

Limits on the resolution of correlation PIV iterative methods. Fundamentals

The spatial resolution of correlation particle image velocimetry (PIV) is a frequently addressed issue that still raises scientific interest. In conventional non-iterative PIV, the spatial resolution limits are of common knowledge (Willert and Gharib (1991) Exp Fluids 10:181–193; Raffel et al. (1998) ISBN 3-540-63683-8, Springer, Berlin Heidelberg New York, among others). On the contrary, those advanced iterative multipass methods that use image distortion techniques or multigrid techniques present a more complex scenario. One of the concepts that raises more debate is the limiting effect of the interrogation window size. This paper focuses on the subject, trying to clarify key points. The results indicate that iterative algorithms using an appropriate weighting function eliminate the window size from the ensemble of spatial resolution limits.

Epitaxy of Binary Compounds and Alloys

The present work aims at constructing a theoretical framework within which to address the issues of morphological instabilities (one-dimensional step bunching and two-dimensional step meandering), alloying, and phase segregation in binary systems in the context of (physical or chemical) vapor deposition. The length scale of interest, although nanoscopic, is sufficiently large that the steps on a vicinal surface can be viewed as smooth curves and, correspondingly, the theory is a continuum one. In a departure from theories inaugurated by Burton, Cabrera, and Frank [The growth of crystals and the equilibrium structure of their surfaces. Phil. Trans. Roy. Soc. A243 (1951) 299–358] the steps are endowed with a thermodynamic structure whose main ingredients are a step free-energy density and edge species chemical potentials. Moreover, crystal anisotropy, with its altering of the dynamics of steps and the associated morphological instabilities, is accounted for – in a manner consistent with the second law – both in the thermodynamic and kinetic properties of terraces and, more importantly, of steps. Additionally, in contrast with most of the literature on the subject (cf. [J. Krug, Introduction to step dynamics and step instabilities. In: A. Voigt (ed.) Multiscale Modeling in Epitaxial Growth. Birkhausser, Berlin (2005)]), adsorption–desorption along the steps, bulk atomic diffusion, and chemical reactions (both on the terraces and along the step edges) are incorporated and coupled to the other mechanisms, e.g., terrace adatom diffusion and step attachment–detachment kinetics, whose interplay governs the evolution of steps on vicinal surfaces. Importantly, aided by the concept of configurational forces for which a separate balance law is postulated Configurational Forces as Basic Concepts of Continuum Physics. Springer, Berlin Heidelberg New York (2000)]), the proposed theory allows the steps to evolve away from local equilibrium thus contributing to a general treatment of the dynamics of steps. Finally, a specialization to the epitaxy of binary compounds and alloys is afforded, yielding a generalization of the classical Gibbs–Thomson relation in the former and novel evolution equations for an individual step in the latter.

MULTI-DIMENSIONAL SEMI-LAGRANGIAN CHARACTERISTIC APPROACH TO THE SHALLOW WATER EQUATIONS BY THE CIP METHOD

International Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 699-730 (2004) No AccessMULTI-DIMENSIONAL SEMI-LAGRANGIAN CHARACTERISTIC APPROACH TO THE SHALLOW WATER EQUATIONS BY THE CIP METHODYOICHI OGATA and TAKASHI YABEYOICHI OGATADepartment of Mechanical Engineering and Science, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan Search for more papers by this author and TAKASHI YABEDepartment of Mechanical Engineering and Science, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8552, Japan Search for more papers by this author https://doi.org/10.1142/S1465876304002642Cited by:10 Previous AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractWe propose a multi-dimensional scheme to solve the shallow water equations by using the CIP(Constrained Interpolation Profile/Cubic Interpolated Pseudoparticle) method which has the accuracy by one-order of magnitude better than the cubic Lagrange. This third-order accuracy is kept even in non-uniform grid, while the cubic Lagrange becomes the first order. The semi-Lagrangian approach to the characteristic equations has been used for solving gravity waves because it can make time step be much longer than the Courant-Friedrichs-Lewy (CFL) condition. Even in two dimensions, the method can give a symmetrical wave propagation under the large CFL condition. References T. Yabe, F. Xiao and T. Utsumi, J. Comput. Phys. 169, 556 (2001). Crossref, Google ScholarF. H. Harlow and J. E. Welch, Phys. Fluids 8, 2182 (1965). Crossref, Google Scholar I. Kinnmark , The Shallow Water Wave Equations; Formulation, Analysis and Application ( Springer-Verlag , Berlin Heidelberg New York Tokyo , 1986 ) . Crossref, Google ScholarG. Erbes, Mon. Wea. Rev. 121, 3443 (1993). Crossref, Google ScholarH. Takewaki, A. Nishiguchi and T. Yabe, J. Comput. Phys. 61, 261 (1985). Crossref, Google ScholarT. Yabe and E. Takei, J. Phys. Soc. Japan 57, 2598 (1988). Crossref, Google ScholarT. Yabe and T. Aoki, Comput. Phys. Commun 66, 219 (1991). Crossref, Google ScholarT. Yabe, T. Ishikawa and P. Y. Wang, Comput. Phys. Commun. 66, 233 (1991). Crossref, Google Scholar E. F. Toro , Riemann Solvers and Numerical Methods for Fluid Dynamics ( Springer , 1997 ) . Crossref, Google ScholarT. Utsumi, T. Kunugi and T. Aoki, Comput. Phys. Commun. 101, 9 (1997). Crossref, Google ScholarA. Staniforth and J. Côté, Mon. Wea. Rev. 119, 2206 (1991). Crossref, Google ScholarJ. R. Bates and A. Mcdonald, Mon. Wea. Rev. 110, 1831 (1982). Crossref, Google ScholarI. H. Parpia, AIAA Journal 29, 567 (1991). Crossref, Google Scholar T. Aoki and T. Yabe, Multi-dimensional Cubic-Interpolation for ICF Hydrodynamics Simulation, Research Report of National Institute for Fusion Sciences, NIFS-82(1991) . Google ScholarA. Arakawa and V. R. Lamb, Mon. Wea. Rev. 109, 19 (1981). Google ScholarD. G. Dritschel, L. M. Polvani and A. R. Mohebalhojei, Mon. Wea. Rev. 127, 1551 (1999). Crossref, Google ScholarD. L. Williamsonet al., J. Comput. Phys. 102, 211 (1992). Crossref, Google Scholar FiguresReferencesRelatedDetailsCited By 10Bicompact interpolation-characteristic scheme of the third order of approximation for the linear transport equationBoris Vadimovich Rogov1 January 2020 | Keldysh Institute Preprints, No. 106CIP Method of Characteristics for the Solution of Tide Wave EquationsYafei Nie, Kai Fu and Xianqing Lv2 Jul 2018 | Advances in Mathematical Physics, Vol. 2018Tree-based mesh-refinement GPU-accelerated tsunami simulator for real-time operationMarlon Arce Acuña and Takayuki Aoki21 September 2018 | Natural Hazards and Earth System Sciences, Vol. 18, No. 9New optimized fourth-order compact finite difference schemes for wave propagation phenomenaMaurizio Venutelli1 Jan 2015 | Applied Numerical Mathematics, Vol. 87Numerical Study of Violent Impact Flow Using a CIP-Based ModelQiao-ling Ji, Xi-zeng Zhao and Sheng Dong1 Jan 2013 | Journal of Applied Mathematics, Vol. 2013Application of the characteristic CIP method to a shallow water model on the sphereXindong Peng, Yan Chang, Xingliang Li and Feng Xiao19 June 2010 | Advances in Atmospheric Sciences, Vol. 27, No. 4Conservative semi-Lagrangian CIP technique for the shallow water equationsTakashi Yabe and Youichi Ogata7 November 2009 | Computational Mechanics, Vol. 46, No. 1Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equationsKunihiko Toda, Youichi Ogata and Takashi Yabe1 Jul 2009 | Journal of Computational Physics, Vol. 228, No. 13Implementation of a non-oscillatory and conservative scheme into magnetohydrodynamic equationsShin Tanaka, Takayuki Umeda, Yosuke Matsumoto, Takahiro Miyoshi and Tatsuki Ogino31 August 2009 | Earth, Planets and Space, Vol. 61, No. 7Accuracy study of the IDO scheme by Fourier analysisYohsuke Imai and Takayuki Aoki1 Sep 2006 | Journal of Computational Physics, Vol. 217, No. 2 Recommended Vol. 05, No. 03 Metrics History PDF download

The Science of Cooking

Food Service TechnologyVolume 1, Issue 3-4 p. 183-184 The Science of Cooking Peter Barham, Peter Barham Springer-Verlag, Berlin–Heidelberg–New York, 244 pp. Cost: £19.95 (Amazon UK). ISBN 3-540-67466-7Search for more papers by this authorJohn S. A. Edwards PhD, John S. A. Edwards PhD Professor of Food Service ManagementSearch for more papers by this authorJoachim M. Schafheitle MPhil, Joachim M. Schafheitle MPhil Senior Lecturer in Food Studies School of Service Industries Bournemouth University, UK E-mail: edwardsj@bournemouth.ac.ukSearch for more papers by this author Peter Barham, Peter Barham Springer-Verlag, Berlin–Heidelberg–New York, 244 pp. Cost: £19.95 (Amazon UK). ISBN 3-540-67466-7Search for more papers by this authorJohn S. A. Edwards PhD, John S. A. Edwards PhD Professor of Food Service ManagementSearch for more papers by this authorJoachim M. Schafheitle MPhil, Joachim M. Schafheitle MPhil Senior Lecturer in Food Studies School of Service Industries Bournemouth University, UK E-mail: edwardsj@bournemouth.ac.ukSearch for more papers by this author First published: 28 June 2008 https://doi.org/10.1046/j.1471-5740.2001.00018.xRead the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Volume1, Issue3-4September 2001Pages 183-184 RelatedInformation

Extracorporeal renal surgery and autotransplantation Berlin Heidelberg New York: Springer

Transplant InternationalVolume 11, Issue 5 p. 390-390 Free Access Extracorporeal renal surgery and autotransplantation Berlin Heidelberg New York: Springer I. B. Breeke, I. B. BreekeSearch for more papers by this authorA. Flatmark, A. FlatmarkSearch for more papers by this author I. B. Breeke, I. B. BreekeSearch for more papers by this authorA. Flatmark, A. FlatmarkSearch for more papers by this author First published: 28 June 2008 https://doi.org/10.1111/j.1432-2277.1998.tb00824.xCitations: 2AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article.Citing Literature Volume11, Issue5September 1998Pages 390-390 RelatedInformation

G. Pisier, Similarity problems and completely bounded maps (Lecture Notes in Mathematics Vol. 1618, Springer-Verlag, Berlin–Heidelberg–New York–London–Paris–Tokyo–Hong Kong, 1996), vii + 156 pp., 3 540 60322 0, (softcover) £20.50.

G. Pisier, Similarity problems and completely bounded maps (Lecture Notes in Mathematics Vol. 1618, Springer-Verlag, Berlin–Heidelberg–New York–London–Paris–Tokyo–Hong Kong, 1996), vii + 156 pp., 3 540 60322 0, (softcover) £20.50.

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