Results 41 to 50 of about 494,879 (330)

MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation

, 2015
MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods with ...
Beylkin, Gregory, Bischoff, Florian A., Calvin, Justus A., Fann, George I., Fosso-Tande, Jacob, Galindo, Diego, Hammond, Jeff R., Harrison, Robert J., Hartman-Baker, Rebecca, Hill, Judith C., Jia, Jun, Kottmann, Jakob S., Ou, M.J. Yvonne, Pei, Junchen, Ratcliff, Laura E., Reuter, Matthew G., Richie-Halford, Adam C., Romero, Nichols A., Sekino, Hideo, Shelton, William A., Sundahl, Bryan E., Thornton, W. Scott, Valeev, Edward F., Vazquez-Mayagoitia, Alvaro, Vence, Nicholas, Yanai, Takeshi, Yokoi, Yukina   +26 more
core   +1 more source

High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels [PDF]

, 1974
The solution of the Volterra integral equation, \[ ( * )\qquad x(t) = g_1 (t) + \sqrt {t}g_2 (t) + \int _0^t \frac {K(t,s,x(s))} {\sqrt {t - s} } ds, \quad 0 \leqq t \leqq T,\] where $g_1 (t)$, $g_2 (t)$ and $K(t,s,x)$ are smooth functions, can be ...
de Hoog, Frank, Weiss, Richard
core   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source

Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation

Numerical Methods for Partial Differential Equations, 2023
In this article, we propose a second‐order shifted composite numerical integral formula, which is denoted as the SCNIF2. We transform the nonlinear time fractional wave equation into a partial differential equation with a fractional integral term and use
H. Ren, Yang Liu, Baoli Yin, Haiyang Li
semanticscholar   +1 more source

A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind [PDF]

, 2007
This is a personal perspective on the development of numerical methods for solving Fredholm integral equations of the second kind, discussing work being done principally during the 1950s and 1960s.
Kendall Atkinson
core   +1 more source

hp-finite element method for simulating light scattering from complex 3D structures

, 2015
Methods for solving Maxwell's equations are integral part of optical metrology and computational lithography setups. Applications require accurate geometrical resolution, high numerical accuracy and/or low computation times.
Burger, S., Herrmann, S., Pomplun, J., Schmidt, F., Zschiedrich, L.   +4 more
core   +1 more source

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
doaj   +1 more source

Numerical Solutions of Some Weak Singular Nonlinear Integral Equations of The First Type Using The Spectral Collocation Method

Journal of Al-Qadisiyah for Computer Science and Mathematics
In this paper, a collocation-spectral approximation is proposed for weakly nonlinear and neutral singular Volterra integral-differential equations with rough solutions.
Ruaa Ahmed Abdulhussein Al Hussein
semanticscholar   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

FEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source