A5051484843- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Boron Compounds in Chemistry
- X-ray Diffraction in Crystallography
- Differential Equations and Boundary Problems
- Crystallization and Solubility Studies
- Protein Structure and Dynamics
- Crystallography and molecular interactions
- Inorganic and Organometallic Chemistry
- Porphyrin and Phthalocyanine Chemistry
- Metal-Catalyzed Oxygenation Mechanisms
- Spectroscopy and Quantum Chemical Studies
- Chemical Synthesis and Characterization
- Analytical Chemistry and Chromatography
- Radioactive element chemistry and processing
- Advanced NMR Techniques and Applications
- Chemical Synthesis and Reactions
- Metal complexes synthesis and properties
- Matrix Theory and Algorithms
- Organic Chemistry Cycloaddition Reactions
- Nuclear Physics and Applications
- Cardiac, Anesthesia and Surgical Outcomes
- Civil and Structural Engineering Research
- Organoboron and organosilicon chemistry
- Molecular spectroscopy and chirality
Connecticut Children's Medical Center
2000-2025
Hartford Financial Services (United States)
2018-2025
University of Stuttgart
2024
Universität der Bundeswehr München
2024
University of Colorado System
2023
ETH Zurich
2018-2022
Universitätsklinikum Gießen und Marburg
2018-2019
Humboldt-Universität zu Berlin
2014-2019
Board of the Swiss Federal Institutes of Technology
2019
University of Connecticut
1971-2018
The application of certain difference schemes (box, trapezoidal, Euler and backward Euler) to the numerical solution boundary value problems for nonlinear first order systems ordinary differential equations with a singularity kind is examined. linear eigenvalue problem also considered.
We computed the transport of methane through 1 nm wide slit-shaped pores carved out solid substrates. Models for silica, magnesium oxide, and alumina were used as The filled with water. results show that permeability hydrated is strongly dependent on substrate. Detailed analysis simulated systems reveals local properties confined water, including its structure, more importantly, evolution solvation free energy hydrogen bond structure are responsible pronounced differences observed....
The solution of a nonlinear system first order differential equations with boundary conditions by implicit Runge-Kutta methods based on interpolatory quadrature formulae is examined. An equivalence between and collocation schemes established. It shown that the difference obtained have unique in neighbourhood an isolated continuous problem, this can be computed Newton iteration it converges to solution. convergence equal degree precision related formula plus one. efficient implementation...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTPolyhedral cobaltaboranes. Versatile replacement of borane(1) groups by (.eta.5-cyclopentadienyl)cobalt units in boron hydride frameworks. Borane-metal cluster hybrid moleculesVernon R. Miller, Richard Weiss, and Russell N. GrimesCite this: J. Am. Chem. Soc. 1977, 99, 17, 5646–5651Publication Date (Print):August 1, 1977Publication History Published online1 May 2002Published inissue 1 August...
The application of collocation methods based on piecewise polynomials to the numerical solution boundary value problems for systems ordinary differential equations with a singularity first kind is examined. schemes are shown be stable and convergent. Enhanced accuracy at nodes suitably chosen points (superconvergence) established class important problems.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTSmall cobalt and nickel metallocarboranes from 2,3-dicarbahexaborane(8) 1,6-dicarbahexaborane(6). Sandwich complexes of the cyclic C2B3H72- C2B3H54- ligandsRussell N. Grimes, Don C. Beer, Larry G. Sneddon, Vernon R. Miller, Richard. WeissCite this: Inorg. Chem. 1974, 13, 5, 1138–1146Publication Date (Print):May 1, 1974Publication History Published online1 May 2002Published inissue 1...
A generalized Euler-Maclaurin sum formula is established for product integration based on piecewise Lagrangian interpolation. The integrands considered may have algebraic or logarithmic singularities. results are used to obtain accurate convergence rates of numerical methods Fredholm and Volterra integral equations with singular kernels.
Abstract This work shows new insights on the application of two-color laser-induced-fluorescence (2c-LIF) thermometry in a droplet chain. A two-dye mixture is used ethanol, water and ethanol/water mixtures order to reach high-temperature sensitivity avoid detection lasing effects droplets. Various sizes are recorded regard limitation system for very small micrometric The breakup chain measured assess spectral applications with liquid structures different sizes. Additionally, proposal expand...
BACKGROUND AND OBJECTIVES Diagnosis of adnexal torsion is challenging due to variable clinical presentations and often inconclusive imaging results. We hypothesized that diagnostic delays are common, leading prolonged ischemia subsequent tissue loss. aimed identify factors associated with in pediatric patients torsion. METHODS performed a multi-institutional retrospective review females aged 5 18 years confirmed between 2013 2022. Delay care was defined as prior emergency department...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTTetracarbon metallocarboranes. 2. Thermal rearrangement of 14-vertex cage systems. Crystal structures three tetracarbon diferracarborane isomers, (.eta.5-C5H5)2Fe2(CH3)4C4B8H8William M. Maxwell, Richard Weiss, Ekk Sinn, and Russell N. GrimesCite this: J. Am. Chem. Soc. 1977, 99, 12, 4016–4029Publication Date (Print):June 1, 1977Publication History Published online1 May 2002Published inissue 1 June...
article Free Access Share on SOLVEBLOK: A Package for Solving Almost Block Diagonal Linear Systems Authors: Carl de Boor Mathematics Research Center, University of Wisconsin-Madison, Madison, WI WIView Profile , Richard Weiss Institut fur Numerische Mathematik, Technische Universitat-Wien, Gusshausstrasse 27-29, A-1040 Wien, Austria AustriaView Authors Info & Claims ACM Transactions Mathematical SoftwareVolume 6Issue 1March 1980 pp 80–87https://doi.org/10.1145/355873.355880Published:01 March...
The application of collocation methods for the numerical solution singularly perturbed ordinary differential equations is investigated. Collocation at Gauss, Radau and Lobatto points considered, both initial boundary value problems first order systems with constant coefficients. Particular attention paid to symmetric schemes problems; these may have layers interval ends. Our analysis shows that certain schemes, in particular those based on Gauss or points, do perform very well such problems,...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTStudies of 2-(.eta.5-C5H5)CoB4H8, a cobaltaborane analog pentaborane(9)Richard Weiss, James R. Bowser, and Russell N. GrimesCite this: Inorg. Chem. 1978, 17, 6, 1522–1527Publication Date (Print):June 1, 1978Publication History Published online1 May 2002Published inissue 1 June 1978https://pubs.acs.org/doi/10.1021/ic50184a027https://doi.org/10.1021/ic50184a027research-articleACS PublicationsRequest reuse permissionsArticle...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTConstraint and electronegativity effects on selenium-77-phosphorus-31 spin-spin couplings in selenophosphoryl compoundsR. D. Kroshefsky, R. Weiss, J. G. VerkadeCite this: Inorg. Chem. 1979, 18, 2, 469–472Publication Date (Print):February 1, 1979Publication History Published online1 May 2002Published inissue 1 February 1979https://pubs.acs.org/doi/10.1021/ic50192a059https://doi.org/10.1021/ic50192a059research-articleACS PublicationsRequest reuse...
The solution of the generalized Abel integral equation <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="g left-parenthesis t right-parenthesis equals Subscript 0 Superscript Baseline left-brace k comma s slash minus alpha right-brace f d greater-than 1 comma"> <mml:semantics> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>t</mml:mi> stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:msubsup>...
A Fredholm theory for linear boundary value problems $t^\alpha y' = G(t)y + g(t),\,0 < t \leqq 1,\,y \in C[0,1] \cap C^1 (0,1],\,\alpha \geqq 1$; $B_0 y(0) B_1y(1) \gamma $ is established, together with existence and regularity results continuous solutions of nonlinear systems ordinary differential equations f(t,y)$. This applied to on infinite intervals illustrated by two examples. Finally, some fundamental properties the generalized eigenvalue problem - (G(t) \lambda H(t))y 0,\,0 (0,1]$;...
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTNew ferraboranes. Structural analogs of hexaborane(10) and ferrocene. A complex cyclic B5H10-, a counterpart C5H5-Richard Weiss Russell N. GrimesCite this: J. Am. Chem. Soc. 1977, 99, 24, 8087–8088Publication Date (Print):November 1, 1977Publication History Published online1 May 2002Published inissue 1 November 1977https://pubs.acs.org/doi/10.1021/ja00466a071https://doi.org/10.1021/ja00466a071research-articleACS PublicationsRequest reuse...
A new class of finite difference methods based on the concept product integration is proposed for numerical solution systems weakly singular first kind Volterra equations which arise in study Brownian motion processes.