[PDF] Top 20 A total variation diminishing high resolution scheme for nonlinear conservation laws

... the nonlinear hyperbolic conservation laws [11, ...of nonlinear conservation laws is undoubtedly one of the most challenging ...the high resolution schemes are ... See full document

... the scheme can capture the hydraulic jump waves accurately or ...more high-resolution schemes such as MacCormack, TVD and ENO schemes [5-7] are applied into numerical simulation of discontinuous ... See full document

... difference scheme for conserva- tion laws preserving total variation diminishing (TVD) property, is ...This scheme is derived by using nonlocal approximation for nonlinear ... See full document

... implicit scheme, wherein the coupled nonlinear system is solved in each time step, is far too expensive for practical ...a scheme is to leave the solution step for the physical PDE unaltered, so that ... See full document

... In this scheme, Serre examined Euler’s equations for the motion for an incompressible inviscid fluid under the assumption that the conserved quantities are independent of the space-time [r] ... See full document

... of conservation laws (notably, those of hydrodynamics), the “proper” choice for solutions with defects turns out to be relatively tame, with defects consisting only of jump discontinuities and being ... See full document

... obtained high-order precision with Cartesian and cylindrical ...Lagrangian scheme was used to determine a solution for compressible fluid flows in cylindrical coordinates, proven to maintain symmetry and ... See full document

... Two points should be made regarding the relation between this argument, CoE, and (1)—the claim that every physical effect has a sufficient physical cause. First, while it was noted above that CoE is not needed to deduce ... See full document

... But nonlinear terms of the KdV and mKdV equations often si- multaneously exist in practical problems such as fluid physics and quantum field theory and form the so-called combined KdV ... See full document

... laws, depending on an arbitrary number of derivatives , are found for a gene ral first order quasi-linear equation in two independent variables, using two differential operators, which a[r] ... See full document

... the noise in the solution, smoothness constraints were introduced in it. But some details were lost by the constraints. Farsiu’s algorithm 0 is another representative methods. It uses bilateral total ... See full document

... We have shown before that capitalism violates the laws of conservation, because it is a system designed to cheat people, and cheating violates the laws of conservation.. We have also est[r] ... See full document

... a high-resolution (HR) image from a set of low-resolution (LR) ...generalized total variation (TV) but adding a bilateral filter (BTV) ...the high-resolution ...bounded ... See full document

... article, nonlinear propagation of envelope gravity waves is studied in baroclinic ...dimensional nonlinear Schrödinger (NLS) equation can be derived by using the multiple-scale, perturbation ...dimensional ... See full document

... largely academic in the case of the pencil, because very violent pro- cesses such as nuclear reactions are required in order to convert any significant fraction of an object’s mass into energy. Cosmic rays, however, are ... See full document

... Super resolution (SR) for real-life video sequences is a challenging problem due to complex nature of the motion ...spatial resolution of video sequences, while the overall point spread function of the ... See full document

... For small BV initial data, the Glimmscheme 20, 24] and the wave-front tracking algorithms 2, 5, 19, 26] provide control of the total variation, in terms of a wave interaction potential. Unfortunately, none ... See full document

... It has been showed in [45] that the method is monotoni- cally convergent. To solve the above linear equation, any lin- ear optimization solution can be employed. Generally, the preconditioned conjugate gradient (PCG) ... See full document

... fifth-order nonlinear evolution equation which describes ...of conservation laws are derived for a new fifth-order nonlinear evolution equation just mentioned using the corre- sponding ... See full document

... Abstract. We present reliable a posteriori estimators for some fully discrete schemes applied to nonlinear systems of hyperbolic conservation laws in one space dimension with strictly convex entropy. ... See full document