cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.25549/examiner-c44-48312
title: Football -- University of Southern California versus University of California Los Angeles football, 1958

description: 55 images. Football -- University of Southern California versus University of California Los Angeles football, 22 November 1958. (Sleeve reads: SP-12512); Caption slip reads: "Photographer: Jensen. Assignment: UCLA vs USC. 1st Q -- J-1: #17 UCLA, 9 yds. J-2: Maudlin intercepts & then drops ball. J-5: #17, 4 yds. J-6: UCLA fumble by Kilmer on bad pass from center. J-7: #20 USC 1st down. J-8: Referee down. J-9: UCLA drops ball. J-10: Pass to Brown, UCLA end zone. J-11-12: UCLA attempt field goal. 2nd quarter -- J-13: #35, 1st down, 29 yds. J-14: SC kicks, nearly blocked by UCLA. J-15: Pass to 80 UCLA, Coia & Buford on defense. 3rd Q -- J-17: Buford ret. J-18: USC, 1st T.D. J-98: USC xtra pt., 1st T.D. J-99: UCLA 2 pt. after 1st T.D. 4th Q -- J-25: Fast whistle on 25, Coia fumble on 25 yd line. J-26: SC attempts 3 pts. JX-116: Kilmer 1st down. JX-117-113: SC 2nd T.D. X-110: SC 2 pt. after 2nd T.D.".; Other caption slip reads: "Photographer: Monte[verde]. 1st Q: 45: #17 makes 25 yds. 46: #15 USC almost intercept ball meant for #31 Gilmer passed. 9: Buford #20 makes 1st down. 10: Pass meant for Brown knocked down by Brown, etc. in end zone. 2nd Q -- 21: #21 SC hit by #21 UCLA. 3rd Q -- 23: #17 UCLA hit by 80, 15 & 54. 24: USC T.D. 51: UCLA T.D. 52: Buford in kick return. 4th Q -- 59: #80 SC on punt return to 30. 60: UCLA conversion on 2nd T.D.".; Other caption slip reads: "Photographer: Rustan. Date: 1958-11-22. Assignment: UC -- SC. 1st quarter -- 39: UC 86 inc., 20 SC trys (sic) too and misses. 40: 30 UC injured. 5: 80 UC pass inc. 20 SC & 15 SC defending. 6: 81 UC inc. in end zone. 20, 15, 81 SC covering. 2nd Q -- 47: 83 UC inc., 15 & 20 SC defending. 48: 85 UC inc. on goal line. 3rd Q -- 33: SC misses latteral & SC recovers on 6 yard line. 34: 17 to 1 yd line. 59: 1st UC Touchdown. 60 UC 2 pts after T.D. 4th Q -- 96, 37: 17 UC injured after interception. 38: 80 SC. 1: SC field goal attempt. 2: UCLA intercepts pitch out for 2nd T.D. 57: 2nd SC TD. 95: 2 points after T.D. FLASH. 21: 80 SC inc. in end zone. 22: Coaches Billy Barnes, UCLA; & Don Clark, SC".; Supplementary material reads: 2nd half -- 46: Buford kickoff 5 to UCLA 42 - 50 yds crouch. 47: Maudlin pitched back to Buford, fumble- recovered by Wallace on SC 49. 48: Davis - reverse - Mar. McKeever 3 yds to SC 42. 49: Kilmer off tackle to SC 39, first down".
DOI: 10.25549/examiner-c44-48660
title: Interior view of the Los Angeles Stock Exchange, [s.d.]

description: Photograph of an interior view of the Los Angeles Stock Exchange. "Putnam Studios. Com'l photographers. 417 East 8th Street, Los Angeles, Calif. VA. 7749" -- stamped on verso.
DOI: 10.25549/examiner-c44-45430
title: New chancellor at UCLA, 1952

description: 12 images. New chancellor at UCLA, 16 November 1952. Doctor Raymond B. Allen (new chancellor); Mrs. Raymond B. Allen (wife); Dorothy Allen -- 12 years; Barbara Jean Allen -- 10 years; Raymond Allen, Junior -- 17 years.
DOI: 10.25549/examiner-c44-55282
title: Aerial views from Goodyear blimp (Paegel), 1955

description: 22 images. Aerial views from Goodyear blimp (Paegel), 8 December 1954. Site of new auditorium; Harbor Freeway South; Smoggy Los Angeles; Santa Monica Pier; Freeways in Los Angeles; Rose Bowl; Civic Center; Whittier Downs; Looking South from Adams Boulevard; Downtown Los Angeles.
DOI: 10.25549/examiner-c44-55463
title: American Federation of Labor (AFL) meeting with the mayor, 1955

description: 4 images. American Federation of Labor (AFL) meeting with the mayor, 14 July 1955. Mayor Norris Poulson; Francis J. Donnelly; Victor Munyer.; Caption slip reads: "Photographer: Mitchell. Date: 1955-07-14. Reporter: Reay. Assignment: A.F.L. meet with Mayor. 35/36, L to R: Mayor Norris Poulson; Francis J. Donnelly of the A.F. of L. Union; Victor Munyer, of the Union meet with the mayor. 13/14, L to R: Mayor Norris Poulson; Francis J. Donnelly, of the A.F. of L. Union get together in the Mayor's office".
DOI: 10.15468/dl.82sbf4
title: Occurrence Download

description: A dataset containing 5913 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Milicia excelsa (Welw.) C.C.Berg"
 ]
}

 The dataset includes 5913 records from 198 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0015508-240506114902167/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6y95vn
title: Occurrence Download

description: A dataset containing 63 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((33.261 -27.35665,31.4779 -27.04766,30.85992 -29.00457,32.2568 -29.84141,33.261 -27.35665))",
 "TaxonKey is Brycinus lateralis (Boulenger, 1900)"
 ]
}

 The dataset includes 63 records from 3 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0015510-240506114902167/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.25549/examiner-c44-55694
title: Fire at University of Southern California's Theta Chi House, 1955

description: 4 images. Fire at University of Southern California's Theta Chi House, 19 November 1955. General views.; Caption slip reads: "Photographer: Mack. Date: 1955-11-19. Reporter: Sid Bernstein. Assignment: Fire at Theta Chi fraternity house, 2715 Portland Avenue on SC's fraternity row. General shots of smoke and flames as fire makes total loss of Theta chi house".
DOI: 10.25549/examiner-c44-55507
title: Police moving to new police building, 1955

description: 3 images. Police moving to new police building, 30 July 1955. Mickie Alpern (Accounting Division); Eloise Campbell (Accounting Division); Phil Hodges (Moving stuff out of City Hall).; Caption slip reads: "Photographer: Gray. Date: 07-30. Reporter: Petty. Assignment: Police moving. Mickie Alpern, l, & Eloise Campbell, r, of accounting division, working on floor in new building. Phil Hodges, right, boss of moving job, & 2 of his men, moving police stuff out of City Hall".
DOI: 10.25549/examiner-c44-79051
title: Grand Canyon hiker (rescued by helicopter), 1954

description: 4 images. Grand Canyon hiker (rescued by helicopter), 19 August 1954. Sam Cane (father of hiker); Dr. Arthur I. Cane (brother); Mrs. Sara Cane (mother); Steve Cane- 9 years (son of Arthur); Albert Cane (copy) rescued from Grand Canyon".; Caption slip reads: "Photographer: Wyman Date: 1954-08-19. Reporter: Brown. Assignment: Grand Canyon Hiker. 57/58: l/r Sam Cane, Father of found hiker; Dr. Arthur I. Cane, brother of hiker; Mrs. Sara Cane, mother of hiker; Steve Cane, 9, son of Arthur, looking at pictures of Albert Cane's hiking feats. 27: Sam and Sara Cane (parents of hiker Albert Cane) Copy of Albert Cane atop Mt. Whitney".
DOI: 10.25549/examiner-c44-55302
title: Resignation of fire commissioners, 1955

description: 2 images. Resignation of fire commissioners, 11 May 1955. Mayor Norris Poulson; Dotor J. Richard Sneed; G. William Shea; Victor M. Carter; Roy M. Sheldon (To take place of commissioners).; Caption slip reads: :Photographer: Mitchell; Date: 1955-05-11. Reporter: Reay. Assignment: Fire Commission. 23/24: Mayor Poulson seated including L to R: Dr. J. Richard Sneed; G. William Shea; Victor M. Carter; Roy M. Sheldon".
DOI: 10.25549/examiner-c44-36903
title: Bandits shot, 1952

description: 14 images. Bandits shot, 12 May 1952. Doctor Dorothy Sill (work over Lester Sherwood, victim); W. Lilliendahl (male nurse); Lester Sherwood (victim); Albert Redford (male nurse); Frank Antes (gas station attendant); Ted Kuhlkin (officer); H.J. Virgin (officer); R.M. Reddish (officer); Max Herman (officer); M.J. Lee (officer); G.D. McGehee (officer); Lee Bouey (officer); C.L. Buckland.; Caption slip reads: "Photographer: McCarty. Date: 1952-05-12. Reporter: Mandel. Assignment: Holdup men shot. 7-8: Left to right -- Herb Rosenberg, 18, 15 Paloma Avenue, Venice; Sid Kaner, 25, 127 Marine Street, Ocean Park (kneeling) and Sam Rafeedie, 25, of 814 Commonwealth Avenue, Venice, look at bullet hole made in his car by stray police bullet. 10: Station attendant Frank Antes, 25, of 1200 South Westlake Avenue, looks at bullet hole made by police through station door. In background is Officer Ted Kuhlkin. 11, 12, 14: suspect Lester Sherwood lies on ground after being shot by police. With him are officers Lee Bouey and C.L. Buckland who helped catch him. 13, 15, 16: Left to right -- Officer M.J. Lee, Officer G.D. McGehee stand by suspect Albert Redford at Georgia Street Hospital. 18: Officer Max Herman from Central Robbery Division questions victim Lester Sherwood at Georgia Street Hospital. 19-21: Left to right -- reporter, Officer H.J. Virgin, Officer R.M. Reddish and Officer Max Herman (in hat) from Central Robbery division, stand around suspect Lester Sherwood at Georgia Street Hospital. 22: Doctor Dorothy Sill, left, and male nurse W. Lilliedahl, right, work over victim Lester Sherwood at Georgia Street Hospital. In background are Officers H.J. Virgin, R.M. Reddish and Max Herman (in hat)".
DOI: 10.25549/examiner-c44-37083
title: Warner Brothers studio fire -- Burbank, 1952

description: 31 images. Warner Brothers studio fire -- Burbank, 1952. General scenes of fire.
DOI: 10.25549/examiner-c44-55355
title: Los Angeles Transit Lines strike vote, 1955

description: 9 images. Los Angeles Transit Lines strike vote, 24 July 1955. Louis Hunter; F.J. Donnelly; Ralph Johnson.; Caption slip reads: "Photographer: Mack. Date: 07-24. Reporter: Bernstein. Assignment: LATL strike vote. 55, L to R: Louis Hunter, member; F.J. Donnelly, union president, count ballots; Ralph Johnson in foreground. 67: Union officials sort and count ballots. Victor Munger holds ballot up.
DOI: 10.25549/examiner-c44-74841
title: Fish, 1952

description: 4 images. Fish, 9 June 1952. Leonard Berkitz (explaining about fish to kids); Cecelia Aspey -- 8 years; Carol Bitterly -- 3 years.
DOI: 10.25549/examiner-c44-45871
title: Russian housing delegation, 1955

description: 16 images. Russian housing delegation, 18 October 1955. Bert Given (Executive Vice President of Given Manufacturing Company); I.K. Kozuilia; Vladimir Pojidaeff; Marie Garcia; Elizabeth Hare; Henry Snyder; Walter W. Keusder; N.P. Lysenko; A.F. Dubrovin; Alfred Arebalo.; Caption slip reads: "Photographer: Mack. Date: 1955-10-18. Reporter: Dunn; Assignment: Russian housing delegation. 27-28: (l to r) A.F. Dubrovin; N.P. Lysenko; I.K. Kozuilia; Vladimir Pojidaeff, and Henry Snyder, president of Sani-Top, Inc. 50-51: (l to r) I.K. Kozuilia, Vladimir Pojidaeff; N.P. Lysenko; Henry Snyder. 26: (l to r) Bert Given, exec vp of Given Mfg Co., I.K. Kozuilia and Vladimir Pojidaeff. 19: Members of Russian group at assembly line in Given Company, which makes waste disposers. 81: Members of Russian group watch demonstration of waste disposers. 6: Marie Garcia, employee, hands part to I.K. Kozuilia. 80: Elizabeth Hare, empolyee, and members of Russian group. 21: (l to r) Henry Snyder; Vladimir Pojidaeff; I.K. Kozuilia; Walter W. Keusder; N.P. Lysenko; A.F. Dubrovin; and Alfred Arebalo working on formica top. 17-18: Russian delegation and local construction officials at a press machine at Soule Steel plant. 40-41: Members of Russian group at cleaning machine in steel plant. 18-27: Members of Russian group at steel casements work. 5: Gen. view in Given Company".
DOI: 10.25549/examiner-c44-55180
title: Weingart tour -- Skid row, 1955

description: 13 images. Weingart tour -- Skid row, 28 January 1955. Renovated hotel at 518 San Julian Street, etc.
DOI: 10.25549/examiner-c44-112846
title: Alimony suit, 1952

description: 4 images. Alimony suit, 15 December 1952. Carlos M. Teran; Doctor Samuel Ayres The Third.
DOI: 10.25549/examiner-c44-113145
title: American Legion caucus, 1953

description: 2 images. American Legion caucus, 15 November 1953. Bud Gilliland, 20th District Chaplain; Louis K. Gough. ; Caption slip reads: "Photographer: Rustan. Date: 11-15. Reporter: Brown. Assignment: Amer. Legion caucus. 95/96, L to R: Bud Gilliland, 20th District Chaplain; Louis K. Gough, past nat'l. commander. Gough receives painting of Christ and certificate of merit for contributions to Legion's 'Back to God' movement."
DOI: 10.25549/examiner-c44-113149
title: Joe Scott testimonial dinner, 1953

description: 6 images. Joe Scott testimonial dinner, 8 November 1953. James Francis Cardinal McIntyre; William Parker; Joe Scott and wife; Judge Thomas P. White; Mary Ellen Scott; Mrs. Mary Ebetts; Judge A.A. Scott; Joe Scott, Junior; Mrs. Norwood Jaqua; Monsignor George Scott. ; Caption slip reads: "Photographer: Olmo. Date: 1953-11-08. Reporter: Fiske. Assignment: Joe Scott testimonial dinner. 67, L to R: James Francis Cardinal McIntyre; William Parker, Police Chief; Joe Scott. 69, L to R: James Francis Cardinal McIntyre; Joe Scott; Judge Thomas P. White. 71-72, L to R: James Francis Cardinal McIntyre; Mrs. Joe Scott; Joe Scott; Justice Thomas P. White. 73-74, L to R: Mary Ellen Scott, granddaughter; Mrs. Mary Ebetts; Cuthbert Scott, Sr.; Judge A.A. Scott; Mrs. Joe Scott; Joe Scott, Jr., grandson (rear); Joe Scott; Mrs. Norwood Jaqua; Msgr. George Scott."
DOI: 10.25549/examiner-c44-36263
title: Valley Charity League planning aid for School of Visually Handicapped Children, 4120 Marathon Street, Los Angeles, 1951

description: 6 images. Valley Charity League planning aid for School of Visually Handicapped Children, 4120 Marathon Street, Los Angeles, 29 February 1951. Mrs. Don Conroy; Mrs. Louis K. Frost; Mrs. Robert J. Stahl. (Sleeve reads: S-9569).; Caption slip reads: "Photographer: Snow. Date: 1951-02-29. Reporter: Society. Assignment: Valley Charity League Planning Event.11-12: L-R: Mrs. Don Conroy, Mrs. Louis K. Frost, Mrs. Robert J. Stahl.9-10: L-R: Mrs. Robert J. Stahl, Mrs. Don Conroy, Mrs. Louis K. Frost.25-26: L-R: Mrs. Louis K. Frost, Mrs. Don Conroy, Mrs. Robert J. Stahl."
DOI: 10.25549/examiner-c44-36673
title: Armed Forces Day Parade, 1952

description: 47 images. Armed Forces Day Parade, 17 May 1952. Major General Walter B. Kean; Corporal Gerald Coutts; Marilyn Maxwell; Mayor Bowron; Irene Dunne; General Lawton Collins; Charles P. Skouras; Jeanne Lambros, 22; Henry S. Eaton; Archie Presby; Audie Murphy; Raymond Harvey.
DOI: 10.25549/examiner-c44-55280
title: Aerial views from Goodyear blimp (Paegel), 1955

description: 22 images. Aerial views from Goodyear blimp (Paegel), 8 December 1954. Site of new auditorium; Harbor Freeway South; Smoggy Los Angeles; Santa Monica Pier; Freeways in Los Angeles; Rose Bowl; Civic Center; Whittier Downs; Looking South from Adams Boulevard; Downtown Los Angeles.
DOI: 10.25549/examiner-c44-36332
title: Jewel Suspect (Lincoln Heights Jail), 1952

description: 3 images. Jewel Suspect (Lincoln Heights Jail), 11 May 1952. Frank Lightfoot -- 46 years old (4333 McNab Street, Long Beach), suspect; Gene W. George -- 28 years old (salesman), 7412 Neo Street, Downey; James C. Whitecotton -- 24 years old (merchant seaman), 11288 Ardmore; Louis T. Burke -- 30 years old (salesman), 253 1/2 East 83rd Street; Sheldon Chasin -- 28 years (cement contractor), 7807 Hefner Avenue.
DOI: 10.25549/examiner-c44-36709
title: Armed Forces Day Parade, 1952

description: 47 images. Armed Forces Day Parade, 17 May 1952. Major General Walter B. Kean; Corporal Gerald Coutts; Marilyn Maxwell; Mayor Bowron; Irene Dunne; General Lawton Collins; Charles P. Skouras; Jeanne Lambros, 22; Henry S. Eaton; Archie Presby; Audie Murphy; Raymond Harvey.
DOI: 10.25549/examiner-c44-55430
title: Transit strike, 1955

description: 25 images. Transit strike, 20 June 1955. Street cars idle; General views, overcrowded parking lots; Tony Absy (Parking lot attendant); Richard Hanson; Ralph Reh; David Race; Frank Goldberg; H. Boice; Sid Brand; Caroline Jacobs; Mrs. Cheryl Rector; Coleen Granger; Mrs. Josina Damme; Eula Miller; Alex Safer; Kitty Sollinger.; Caption slip reads: "Photographer: Mack. Date: 06-20. Reporter: Adler. Assignment: Transit strike. 7/8/80/81: Shots of LA Transit Lines street cars idle in yards on Georgia Street. 1/2: Shot of overcrowded parking lot at Olympic Boulevard and Olive Street. 3/4: Tony Absy, attendant in parking lot at Olympic and Olive, looks vainly for another open spot to park a car. 50/51: Shot of County parking lots at Temple and Broadway -- the corner of Temple and Hill streets being in left foreground. 15/16: Santa Monica people who work in Los Angeles are boarding a Santa Monica Municipal Bus Lines bus at Pico and Rimpau for a shuttle service to Crenshaw and Venice where they can pick up Metropolitan Coach Lines bus for downtown. The Santa Monica line ends at the start of the 'P' streetcar of Los Angeles Transit Lines which usually takes on the Santa Monica passengers. This shuttle service was started as a courtesy by the Santa Monica Line, strictly for their own people. 36/35: Mrs. Cheryl Rector attempts to thumb a ride at 6th Street and Rampart Boulevard to go to work as a secretary".; Caption slip continues: "Photographer: Mack...27/28: Women getting a ride downtown from 6th Street and Rampart Boulevard. 67: A pickup truck driven by Coleen Granger, Ohrbachs employee, is thrown into service to pick up fellow workers -- Alex Safer helps Mrs. Josina Damme into back of truck, while Eula Miller gets into front, seated in front is Kitty Sollinger -- at Wilshire and Vermont. 68: Ohrbachs employees use pickup truck to get fellow workers to their job. Alex Safer helps Kitty Sollinger into back of truck, Mrs. Josina Damme seated in back, Eula Miller at the door and driver Coleen Granger in front, at Wilshire and Vermont:.; Other caption slip reads: "Photographer: Wyman. Date: 1955-06-20. Reporter: Coart. Assignment: Transit strike. 55, L / R: Richard Hanson; Ralph Reh; David Race; & Frank Goldberg(he's looking disgustedly at his watch) look hopefully for their early morning bus at Western & Santa Monica. 62: Motorist giving ride to stranded transit liners. 56-61: H. Boice (right) reads about the strike in the Examiner as his (unidentified) friend tries to hitch a ride (Beverly & Santa Monica). 54, L / R: Sid Brand hitching ride; Caroline Jacobs reading paper, Wilshire & Western. No name on dismal soul at right. (He's waiting too)".; Other caption slip reads: "Photographer: Hecht. Date: 1955-06-20. Assignment: Strike car strike. 5/6: Crowded parking lot just west of the Hall of Justice".
DOI: 10.25549/examiner-c44-112955
title: Society -- Children Charity Workers, 1955

description: 4 images. Society -- Children Charity Workers, 10 May 1955. Mrs. don Dowling; Mrs. Guy Van Buskirk; Mrs. Ken Brooks (standing); Mrs. Clayton V. Smith; Mrs. Robert C. Springsteen; Pat Jones (model); Mrs. George Fiore; Mrs. H.S. Caward; Mrs. Carlton Faulkner; Mrs. Russell Wenzel. (negatives and contacts to Ludlow). (Sleeve reads: S-9777). ; Caption slip reads: "Photographer: Lapp. Date: 1955-05-09. Assignment: Soc. -- Children Charity Workers. 23-24: Seated: Mrs. Don Dowling; Mrs. Guy Van Buskirk; standing: Mrs. Ken Brooks; Mrs. Clayton Smith; Mrs. Robert G. Springsteen; Pat Jones, the model. 51-52: Mrs. George Fiore; Mrs. H.S. Caward; Mrs. Carlton Faulkner; Mrs. Russell Wenzel; & Pat Jones." ; Photo assignment for May 9 at 2:30 p.m. Pls. go to home of Mrs. Stack, 345 St. Pierre Road, see Mrs. Noack, get shots of Children's Charity Workers Inc. planning festival. Candid, all doing something, four cols. Contacts Tuesday. Thanks, Carter Ludlow."
DOI: 10.25549/examiner-c44-112968
title: Society -- Maier shower, 1955

description: 3 images. Society -- Maier shower, 14 May 1955. Mrs. William Lee; Estelle Maier; Mrs. John W. Schallert. ; Caption slip reads: "Photographer: Gray. Date: 1955-05-14. Assignment: Maier shower. 37-38-5: Mrs. William Lee; Estelle Maier; Mrs. John W. Schallert. Contacts to Ludlow." ; Supplementary material reads: "Photo assignment for Saturday May 14 at 12:30 p.m. Pls. go to the Bel-Air Hotel, Bougainvillea Room, get shots of Estelle Maier, Mrs. William S. Lee, and Mrs. John W. Schallert. They are giving a shower for Miss Maier. Candid, three cols., all doing something, busy with presents, etc. Contacts Monday. Thanks, Carter Ludlow."
DOI: 10.25549/examiner-c44-37205
title: Interview, 1952

description: 4 images. Interview, 12 May 1952. Norman Myer; Pamela Myer.
DOI: 10.25549/examiner-c44-75140
title: Robbery suspects, 1954

description: 2 images. Robbery suspects, 24 August 1954. Officer N.V. Allen; Don Alfred Long -- 38 years (suspect); Frank W. Brassell -- 22 years (suspect).; Caption slip reads: "Photographer: Paegel. Date: 1954-08-24. Reporter: McMahon. Assignment: City Hall. 17-18: L to R. Officer M.V. Allen; Robbery suspects Don Alfred Long, 38; Frank W. Brassell, 22".
DOI: 10.25549/examiner-c44-78924
title: Haymes, 1954

description: 6 images. Haymes, 23 June 1954. Richard R. Cody; Attorney S.S. Schwartz; Attorney Bartley Crumm; Dick Haymes.; Caption slip reads: "Photographer: Olmo. Date: 1954-06-23. Reporter: Devlin. 5/6: L to R, Richard R. Cody & Atty. S.S. Schwartz. 7/8/9/10: L to R, Atty. Bartley Crumm & Dick Haymes".
DOI: 10.25392/leicester.data.24260602
title: Supplementary data of my PhD thesis "Multilevel sparse grid Lagrange collocation method with positive definite radial basis functions for the solution of elliptic boundary value problems."

description: We introduce the Lagrange collocation method with radial basis functions (LRBF) as a novel approach to solving $n$-dimensional PDEs. Our method addresses the fundamental challenge -- the `trade-off principle' -- often associated with standard RBF collocation methods. We aim to maintain the accuracy and convergence of the numerical solution while improving stability and efficiency.
In 1D, we establish its existence and uniqueness for specific differential operators, including the Laplacian operator, and positive definite RBFs. In 2D, we provide some theoretical proofs and validate our claims through numerical experiments.
A pivotal innovation is to perturb the primary matrix, thus defining the perturbed LRBF method (PLRBF). This perturbation enables Cholesky decomposition, reducing the condition number to its square root, leading to the CPLRBF. This allows us to select larger shape parameters without compromising stability and accuracy. Consequently, we achieve highly accurate solutions early in the process, thus saving time. Surprisingly, the stability of CPLRBF in 2D is not solely influenced by the main matrix but also affected by a second matrix that does not play a key role in 1D. For sufficiently large shape parameters, this second matrix dominates the overall stability, posing limitations to be addressed in future work.
To address stagnation issues arising from using an adaptive shape parameter inversely proportional to the node spacing, we combine PLRBF/CPLRBF with multilevel techniques, resulting in the MuPLRBF/\allowbreak MuCPLRBF. Our findings reveal that MuCPLRBF significantly enhances accuracy early in the process.
In this context, the Multilevel Sparse Grid method yields improvement in terms of accuracy and efficiency for the Gaussian. However, no accuracy improvement was observed for IMQ when using a sparse grid.
Through a series of numerical experiments, we underscore the effectiveness of MuCPLRBF in achieving stability, accuracy, and efficiency in 1D and 2D.
Excel files containing results from testing of our method (MuCPLRBF) for numerically approximating solutions of partial differential equations against other methods using RBF , as discussed in my thesis, with data about their performance across a range of test cases and performance metrics.