David F. GriffithsJohn William DoldDavid SilvesterSpringer International PublishingAbbott, M. B., 1966. The Method of Characteristics, American Elsevier, New York, 243 p.problems. The method of characteristics (MoC) and the matrix rational
TheMethodofCharacteristicsisageneraltechniqueusedtosolvefirstorderlinearPDEs. However,onecouldalwaystrythismethodonnonlinearequationsifthe“characteristics” (tobedefinedbelow)yieldsomethingtractible.Thetypicalformtobeconsideredis a(x,t) ∂u(x,t) ∂t +b(x,t) ∂u(x,t) ∂x +f[u(x,t),...
PDE solution uniqueness is typically proven using mathematical techniques such as the method of characteristics, energy methods, or maximum principle. These methods involve analyzing the properties of the PDE and its boundary conditions to show that there can only be one solution. Are there any cases...
introducing the method of characteristics for a general nonlinear second order pde in two variables. to this end we assume, unless explicitly stated otherwise, that all functions are continuous and have continuous derivatives of all orders involved. let the pde of interest be given by $$\begin{...
creditnote creed key board perfo creed n creed or color creep characteristics creep loss of concret creep rate creep rate-time plot creep viscosity creepage clearance te creepratio creeps skin creepy rider creg mortenson creka crema de fuego crema intelestelar cremades calvo- sotel cremastermuscle cr...
\(CF_{i}\) is used to assure that the PN topology respects the patient-specific anatomy, and other know characteristics of human PN topology, such as segment length, angle between bifurcating segments, among others. 4. \(CF_{a}\) is used to assure that the PN reproduces the patient...
Such a unique distribution of nonpolar-polar amino acid residues makes the grooves identify the target proteins with common characteristics. Fusicoccin A, a natural product, is the first reported stabilizer to regulate the interaction between the 14-3-3 protein and its ligand (Fig. 12). ...
In 1998, Kim first proposed the joinpoint regression model (JRM) [30], the core idea of which was to establish segmented regression, according to the time characteristics of disease distribution. They divided the research time into different intervals through several connection points, and performed...
Publications of the Results 1942 Bulgakov, B.V., Self-Oscillations of the Controlled Systems, Dokl. Akad. Nauk SSSR, 1942, vol. 37, no. 9, pp. 283–287. MathSciNet Google Scholar 1946 Bulgakov, B.V., Some Problems of the Theory of Control with Nonlinear Characteristics, Prikl. Mat...
To archive a controllable nonlinear high-dimensional system with short-term memory, some specific physical systems with nonlinear dynamic characteristics can be used to implement reservoirs (see Box3), where network connections are determined by the physical interactions. As the development of integration...