w2h are given by (W2h iS +w2h is 1S) (ugh iS +Uzh i, S 1) wn 2is 1, 2S 1=4( iS+u2h is 1. $+w2h, S 1+Ugh is 1, S 1) an: ffr wn=in w2h 1,ef pf nenls ff w2h are Wwn 2il 1,2S 1 +Wn 2il 1,291+ Wn 2is 1, 2S 1+Wn 2is 1, 1 4r(m221+2m i, 2Sf, 2g5 rm-terb Rld +iRn ErrAir LIEE1IwlE, yl E It rtnlo y D notynvyI"E“.tv,“1DIyf1rwtE“mnfm2 D∑ fiEUiyIE“∑ my n lEy1 r vnt mmrt wI IVI V IE I lI, rDfrDevD E1o TI i y Ito i ftu,“iDVo"Ewnl:ogv,m,“1DW“ E unll r:2AEJD“ym1i olerpf ralif n inlrf i k es, ig, fre-k-en y errf r LD“gmD.rf, y DburiD 3 ipoD,“1Dw=s“ E unll r:ox1rwtt. ym >h JEUy“EoJD,“1 Ul1:∑ftit,i护jgyL∑m✏✒✑✔✓✖✕✘✗✚✙✜✛✣✢✥✤✣✙✧✦✩★✫✪ ✬✓✭✑✯✮✱✰ ✑✳✲✵✴ ✬✑✔✓✶✮✷✰ ✲ ✬✸✓✭✑✯✮✥✹✻✺✼✰ ✑✳✲ ✴ ✽✾❀✿✬✝✑✔✓✭✮✷✰ ✲☞❁❂✬✆✑✔✓✶✮❃✹✶✺✔✰ ✲❅❄ ✬✸✓✭✑✯✮✱✰ ✑❆✲✯✹✻✺ ✴ ✽✾❀✿✬✝✑✔✓✭✮✷✰ ✲☞❁❂✬✆✑✔✓✶✮✷✰ ✲✯✹✶✺✧❄ ✬✓✭✑✚✮❃✹✻✺✼✰ ✑❆✲✯✹✻✺❇✴ ✽ ❈ ✿✬✑✔✓✭✮✷✰ ✲ ❁❂✬✑✔✓✶✮❃✹✶✺✔✰ ✲ ❁❂✬✑✔✓✶✮✷✰ ✲✯✹✶✺ ❁❂✬✑✔✓✭✮✥✹✻✺✔✰ ✲✯✹✶✺ ❄ ❉❊ ❊ ❊ ❊ ❊ ❊ ❊ ❊ ❊❋ ❊ ❊ ❊ ❊ ❊ ❊ ❊ ❊ ❊ ● ✽■❍❑❏✔▲◆▼❖❍◗P✩❘ ✽ ✾ ✕✘✦❚❙❱❯✷❲❳✗✝✏✓ ✴❩❨✑✔✓ ✓ ✏✑✔✓❭❬✚❪✙❴❫❵❲❳❛❭❜❝❲✣✦❞✙✧✦❬✚❡ ❲✣❯✶✏✑✔✓ ✕✣✗✯✙ ✬✝✑✔✓✭✮✷✰ ✲ ✴ ✽ ✽❅❢❤❣✬✸✓✶✑✯✮✱✐❥✺✼✰ ✑❆✲❵✐❥✺❦❁❂✬✸✓✭✑✯✮✱✐❥✺✼✰ ✑❆✲✯✹✻✺❦❁❂✬✸✓✻✑✚✮✥✹✻✺✔✰ ✑❆✲❵✐❥✺❧❁♠✬✸✓✶✑✚✮❃✹✻✺✼✰ ✑❆✲✯✹✻✺ ❁ ✾ ✿✬✓✶✑✚✮✷✰ ✑❆✲❵✐❥✺ ❁♠✬✓✭✑✚✮✷✰ ✑❆✲✯✹✻✺ ❁❂✬✓✭✑✯✮✱✐❥✺✼✰ ✑✳✲ ❁❂✬✓✻✑✚✮✥✹✻✺✔✰ ✑❆✲ ❄♥❁ ❈✬✓✶✑✯✮✱✰ ✑❆✲✧♦ ▲ ✽♣❍❑❏✔▲◆▼❖❍◗Pq❘ ✽ ✾ r s✆t✈✉ ✇❳①❧②④③♥⑤⑦⑥■⑧❧⑨❆⑩✶②⑦❶❆⑧❦①❸❷❤⑤⑦⑤⑦⑧❹⑤ ❺❝❻❽❼❿❾➁➀➃➂❽➄ ➅❱➆⑦➇✧➈➊➉✘➋❿➌✯➇✔➍❵➎❀➋❿➈➐➏✧➇✔➍❵➎◆➋✱➑➒➈➊➋➔➓➣→✫➓✧➇✔➉↕↔✭➎✷➆⑦➇✜➌✯➇❵➓✼➎✈➌✼➋✱➍✧➎✈➋✱➑✘➈➙➑❆➛♣➜➞➝❃➑➒➟❑➠❖➑❅➉✣➇✜➋❿➈❚➎✈➌✚➑➐➉✘→❞➍✚➇❵➓➣➈➡➑❭➇✧➌✼➌✯➑✘➌✧➢ ➤➡➆⑦➜✘➎♥➋➔➓✔↔✻➜➣➝✥➑➒➟➥➠❖➑❅➉✣➇❹➦➡↔♥➑✘➈➨➧✘➌✼➋✱➉✝➩♥↔➁➫✔➇✚➍✔➑✘➠❖➇❵➓❧➠✖➑➐➉❳➇❹➦✩➑➒➈➨➧✣➌✼➋✱➉ ✾ ➩✶➢✜➭☞➈❖➎✷➆⑦➇✸➑✘➎❿➆❞➇❵➌❹➆⑦➜✘➈❝➉➒↔ ➎✷➆⑦➇✝➯❝➌✯➑✘➝❃➑➒➈✫➧❳➜✘➎✈➋✱➑✘➈➲➑✔➯⑦➇✧➌✯➜➒➎✳➑➒➌➨➋❿➈❞➎◆➌✯➑➐➉✘→❞➍✔➇✼➓❴➇❵➌✼➌✚➑➒➌✔➓■➟✻➆✫➋✱➍✔➆➥➍✚➑✘➈❞➎✳➜➒➋❿➈➊➆✫➋✂➧↕➆❴➛✔➌✯➇✔➳✧→❞➇❵➈➡➍❵➋✱➇❵➓✧➢ 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -1 -0.5 0 0.5 1 (n=19) grid h grid 2h 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -1 -0.5 0 0.5 1 Interpolation error ➵✦❬ ✙✧✗✚❜❝❲✣➸➔✕❬ ✢✥❲✣✦✩✢✥✦❬ ✗✯❲④❙④➺❚❫❵✙❡✆❪✢❃✛❪ ❯✷✗✚✙➐➻❽➺⑦✙➐✦❞❫❵✪q✙✧✗✚✗✯❲❳✗ ❡➐➼ ➅➊➇■➑✣➫❵➓❵➇✧➌✼➽➒➇❹➛✔➌✯➑✘➠➾➎❿➆❞➇✭➚✻➧✣→④➌✯➇✜➎✷➆⑦➜➒➎✈↔✭➎❿➆❞➇♣➠❖➑❅➉✣➇➣➦ ✴❩➪ ➑➒➈✒➧✣➌✼➋✱➉ ✾ ➩♥↔❞➯➡➌✯➑➐➉✘→❞➍✔➇✼➓■➜❆➛✔➎✳➇❵➌❦➯❝➌✯➑✘➶ ➝❃➑✘➈❽➧❽➜➒➎◆➋✱➑➒➈⑦↔❀➎✷➆⑦➇♣➠✖➑❅➉✣➇✸➦ ✴➹➪ ➑✘➈✒➧✘➌✼➋✱➉■➩✩➯❝➝➘→✫➓■➜➞➓✔➠✖➜➒➝❿➝➘↔❹➫✧→④➎❀➋❿➠➣➯⑦➑✘➌✼➎➴➜✘➈❞➎✈↔➁➆④➋✂➧❅➆■➛✔➌✯➇✔➳❵→❞➇✧➈❝➍✧➷ ➇✧➌✼➌✯➑➒➌✧➢ ➬