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Finite Difference Schemes for Differential Equations [PDF]
Mathematics of Computation, 1964 (1) ~~~~~L = d p(x) d + q(x) and the related variational problem for the functional b ~~~~~~~~~~b (2) Q(u) = ] (pu'2 + qu') dx - 2 fu dx viz., min Q(u) uE Q where the class Q consists of smooth functions u(x) satisfying u(a) = u(b) = 0. Following Ritz, the solution of the variational problem may be discussed within the framework of the direct methods ...
openaire +2 more sources
Separations, 2023 High-performance liquid chromatography (HPLC) is a dynamic separation process with a lot of parameters having different roles. The equilibrium-dispersive model is relevant for simulating HPLC because it is relatively simple and suitable for high ...
Ha-Thanh Cao, Tuan-Anh Nguyen
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Stability of central finite difference schemes for the Heston PDE
, 2010 This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete ...
A Böttcher +14 more
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Comparison of finite‐difference schemes for the Gross‐Pitaevskii equation
Mathematical Modelling and Analysis, 2009 A conservative finite‐difference scheme for numerical solution of the Gross‐Pitaevskii equation is proposed. The scheme preserves three invariants of the problem: the L 2 norm of the solution, the impulse functional, and the energy functional.
Vyacheslav A. Trofimov, Nikolai Peskov
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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Stable higher order finite-difference schemes for stellar pulsation calculations
, 2013 Context: Calculating stellar pulsations requires a sufficient accuracy to match the quality of the observations. Many current pulsation codes apply a second order finite-difference scheme, combined with Richardson extrapolation to reach fourth order ...
Reese, D. R.
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First derivatives estimates for finite-difference schemes [PDF]
, 2008 . We give sufficient conditions under which solutions of discretized in space second-order parabolic and elliptic equations, perhaps degenerate, admit estimates of the first derivatives in the space variables independent of the mesh size ...
Gyongy, Istvan, Krylov, Nicolai
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Overview of molecular signatures of senescence and associated resources: pros and cons
FEBS Open Bio, EarlyView.Cells can enter a stress response state termed cellular senescence that is involved in various diseases and aging. Detecting these cells is challenging due to the lack of universal biomarkers. This review presents the current state of senescence identification, from biomarkers to molecular signatures, compares tools and approaches, and highlights ...
Orestis A. Ntintas +6 more
wiley +1 more source
Journal of Applied Mathematics, 2014 We construct modified forward, backward, and central finite difference schemes, specifically for the Helmholtz equation, by using the Bloch wave property.
Hafiz Abdul Wajid +3 more
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