In this paper, consideration is given to how aliasing errors, introduced when evaluating nonlinear products, inexactly affect the solution of Galerkin spectral/hp element polynomial discretisations on triangles. A theoretical discussion is presented of how aliasing errors are introduced by a collocation projection onto a set of quadrature points insufficient for exact integration, and consider ...

The influence of explant nodal positions on the in vitro shoot growth and proliferation were studied in the two rose cvs. ‘Bianca’ and ‘El Torro’. Third, fourth and fifth nodal explants were cultured on the modified MS medium supplemented with 1.0 and 5.0 mg/l BA. In both the cultivars, higher rate of proliferation (‘Bianca’ 3.75; ‘El Torro’ 2.65) were obtained from the explants distal to the a...

in this paper a modification of he's variational iteration method (vim) has been employed to solve dung and riccati equations. sometimes, it is not easy or even impossible, to obtain the first few iterations of vim, therefore, we suggest to approximate the integrand by using suitable expansions such as taylor or chebyshev expansions.

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.

PURPOSE Clinical target volumes (CTV) for radiotherapy (RT) in esophageal cancer (EC) are based on standard expansions of primary tumor volume. Data is needed to define regions at highest risk for occult disease, based on histology and location of the primary tumor. We therefore reviewed PET scans in EC patients to characterize the location of FDG-avid lymph node metastases (LNM). MATERIALS A...

PURPOSE To develop contouring guidelines to be used in the Radiation Therapy Oncology Group protocol 0848, a Phase III randomized trial evaluating the benefit of adjuvant chemoradiation in patients with resected head of pancreas cancer. METHODS AND MATERIALS A consensus committee of six radiation oncologists with expertise in gastrointestinal radiotherapy developed stepwise contouring guideli...

background: axillary nodal spread is an established prognostic factor in breast cancer. axillary nodal dissection and subsequent pathological examination is considered the gold standard technique of assessing the axilla for metastatic disease. a minimum of ten level i axillary nodes are required to be examined before an axillary specimen can be reliably labeled as disease free. this recommendat...

We investigate pfaffian trial wavefunctions with singlet and triplet pair orbitals by quantum Monte Carlo methods. We present mathematical identities and the key algebraic properties necessary for efficient evaluation of pfaffians. Following upon our previous study Bajdich et al., Phys. Rev. Lett. 96, 130201 2006 , we explore the possibilities of expanding the wavefunction in linear combination...