{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1361418521390278016.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1090/s0025-5718-1988-0935077-0"}},{"identifier":{"@type":"URI","@value":"http://www.ams.org/mcom/1988-51-184/S0025-5718-1988-0935077-0/S0025-5718-1988-0935077-0.pdf"}},{"identifier":{"@type":"URI","@value":"https://www.ams.org/mcom/1988-51-184/S0025-5718-1988-0935077-0/S0025-5718-1988-0935077-0.pdf"}}],"dc:title":[{"@value":"Generation of finite difference formulas on arbitrarily spaced grids"}],"description":[{"type":"abstract","notation":[{"@value":"<p>Simple recursions are derived for calculating the weights in compact finite difference formulas for any order of derivative and to any order of accuracy on one-dimensional grids with arbitrary spacing. Tables are included for some special cases (of equispaced grids).</p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381418521390278016","@type":"Researcher","foaf:name":[{"@value":"Bengt Fornberg"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"00255718"},{"@type":"EISSN","@value":"10886842"},{"@type":"PISSN","@value":"http://id.crossref.org/issn/00255718"}],"prism:publicationName":[{"@value":"Mathematics of Computation"}],"dc:publisher":[{"@value":"American Mathematical Society (AMS)"}],"prism:publicationDate":"1988","prism:volume":"51","prism:number":"184","prism:startingPage":"699","prism:endingPage":"706"},"reviewed":"false","url":[{"@id":"http://www.ams.org/mcom/1988-51-184/S0025-5718-1988-0935077-0/S0025-5718-1988-0935077-0.pdf"},{"@id":"https://www.ams.org/mcom/1988-51-184/S0025-5718-1988-0935077-0/S0025-5718-1988-0935077-0.pdf"}],"createdAt":"2010-06-30","modifiedAt":"2021-11-02","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050001338873870080","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Phase-space wavepacket dynamics of internal conversion via conical intersection: Multi-state quantum Fokker-Planck equation approach"}]},{"@id":"https://cir.nii.ac.jp/crid/1360002214578176384","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Parallel implementation of efficient charge–charge interaction evaluation scheme in periodic divide‐and‐conquer density‐functional tight‐binding calculations"}]},{"@id":"https://cir.nii.ac.jp/crid/1360013168748296960","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"High-order accurate kinetic-energy and entropy preserving (KEEP) schemes on curvilinear grids"}]},{"@id":"https://cir.nii.ac.jp/crid/1360017282430120576","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Dissipative Berry phase effect in quantum tunneling"}]},{"@id":"https://cir.nii.ac.jp/crid/1360021390746803712","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Emergent electric field from magnetic resonances in a one-dimensional chiral magnet"}]},{"@id":"https://cir.nii.ac.jp/crid/1360298755637766016","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Modified wavenumber and aliasing errors of split convective forms for compressible flows"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679653094528","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical Analysis of Control of Flow Oscillations in Open Cavity Using Moving Bottom Wall"}]},{"@id":"https://cir.nii.ac.jp/crid/1391130851443816960","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"A Data-Centric Directive-Based Framework to Accelerate Out-of-Core Stencil Computation on a GPU"}]},{"@id":"https://cir.nii.ac.jp/crid/2051714791869788544","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Quasi-Cartesian finite-difference computation of seismic wave propagation for a three-dimensional sub-global model"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1090/s0025-5718-1988-0935077-0"},{"@type":"CROSSREF","@value":"10.1002/jcc.25086_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1299/jsmeb.49.1098_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1016/j.jcp.2021.110482_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1103/physrevb.102.245426_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1103/physrevb.108.134436_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1016/j.jcp.2022.111336_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1016/j.chemphys.2018.07.013_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1186/s40623-017-0651-1_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"},{"@type":"CROSSREF","@value":"10.1587/transinf.2020pap0014_references_DOI_MBCvsHpAi8T0im1dVTST8VRfZdi"}]}