Matches in SemOpenAlex for { <https://semopenalex.org/work/W50110933> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W50110933 abstract "Finite-difference methods for partial differential equations in several dimensions are presented by first handling the basic (parabolic) diffusion equation in two dimensions by explicit and implicit difference schemes, allowing us to introduce the corresponding stability criteria. The treatment of alternating direction implicit (ADI) schemes is supplemented by the extension to three space dimensions. Several schemes for solutions of hyperbolic equations are listed. Solving elliptic equations (Poisson and Laplace) by classical relaxation methods (Jacobi, Gauss–Seidel, SOR, SSOR) is discussed, as well as high-resolution schemes for hyperbolic equations. The need to respect the underlying nature of the physical problems is emphasized by solving the two-dimensional diffusion and Poisson equations in polar coordinates with various boundary conditions. The boundary element method, the finite element method, and a mesh-free method based on radial basis functions are presented. In addition to many variants of Laplace and Poisson equations, the Problems include several instances of the linear diffusion equation, as well as a non-linear case describing the growth of bacterial biofilms." @default.
- W50110933 created "2016-06-24" @default.
- W50110933 creator A5064090264 @default.
- W50110933 creator A5069804746 @default.
- W50110933 date "2012-01-01" @default.
- W50110933 modified "2023-10-05" @default.
- W50110933 title "Difference Methods for PDE in Several Dimensions" @default.
- W50110933 cites W1585274809 @default.
- W50110933 cites W1607053641 @default.
- W50110933 cites W162238331 @default.
- W50110933 cites W1933568329 @default.
- W50110933 cites W1969551027 @default.
- W50110933 cites W1976391619 @default.
- W50110933 cites W1983450111 @default.
- W50110933 cites W1986177588 @default.
- W50110933 cites W1987971235 @default.
- W50110933 cites W1990631565 @default.
- W50110933 cites W1997542937 @default.
- W50110933 cites W2015725973 @default.
- W50110933 cites W2024995147 @default.
- W50110933 cites W2047877145 @default.
- W50110933 cites W2055528045 @default.
- W50110933 cites W2056507115 @default.
- W50110933 cites W2098032032 @default.
- W50110933 cites W2100520873 @default.
- W50110933 cites W2108681002 @default.
- W50110933 cites W2111551995 @default.
- W50110933 cites W2135301926 @default.
- W50110933 cites W2150991141 @default.
- W50110933 cites W2152848099 @default.
- W50110933 cites W2169269621 @default.
- W50110933 cites W2485564802 @default.
- W50110933 cites W391578156 @default.
- W50110933 cites W4251391716 @default.
- W50110933 cites W4301491118 @default.
- W50110933 doi "https://doi.org/10.1007/978-3-642-32478-9_10" @default.
- W50110933 hasPublicationYear "2012" @default.
- W50110933 type Work @default.
- W50110933 sameAs 50110933 @default.
- W50110933 citedByCount "0" @default.
- W50110933 crossrefType "book-chapter" @default.
- W50110933 hasAuthorship W50110933A5064090264 @default.
- W50110933 hasAuthorship W50110933A5069804746 @default.
- W50110933 hasConcept C33923547 @default.
- W50110933 hasConceptScore W50110933C33923547 @default.
- W50110933 hasLocation W501109331 @default.
- W50110933 hasOpenAccess W50110933 @default.
- W50110933 hasPrimaryLocation W501109331 @default.
- W50110933 hasRelatedWork W1587224694 @default.
- W50110933 hasRelatedWork W1979597421 @default.
- W50110933 hasRelatedWork W2007980826 @default.
- W50110933 hasRelatedWork W2061531152 @default.
- W50110933 hasRelatedWork W2077600819 @default.
- W50110933 hasRelatedWork W2142036596 @default.
- W50110933 hasRelatedWork W2911598644 @default.
- W50110933 hasRelatedWork W3002753104 @default.
- W50110933 hasRelatedWork W4225152035 @default.
- W50110933 hasRelatedWork W4245490552 @default.
- W50110933 isParatext "false" @default.
- W50110933 isRetracted "false" @default.
- W50110933 magId "50110933" @default.
- W50110933 workType "book-chapter" @default.