Answer by taking a quote from the following article:

Sir Edward William Elgar, 1st Baronet  (2 June 1857 - 23 February 1934) was an English composer, many of whose works have entered the British and international classical concert repertoire. Among his best-known compositions are orchestral works including the Enigma Variations, the Pomp and Circumstance Marches, concertos for violin and cello, and two symphonies. He also composed choral works, including The Dream of Gerontius, chamber music and songs. He was appointed Master of the King's Musick in 1924.

Elgar was contemptuous of folk music and had little interest in or respect for the early English composers, calling William Byrd and his contemporaries "museum pieces". Of later English composers, he regarded Purcell as the greatest, and he said that he had learned much of his own technique from studying Hubert Parry's writings. The continental composers who most influenced Elgar were Handel, Dvorak and, to some degree, Brahms. In Elgar's chromaticism, the influence of Wagner is apparent, but Elgar's individual style of orchestration owes much to the clarity of nineteenth-century French composers, Berlioz, Massenet, Saint-Saens and, particularly, Delibes, whose music Elgar played and conducted at Worcester and greatly admired.  Elgar began composing when still a child, and all his life he drew on his early sketchbooks for themes and inspiration. The habit of assembling his compositions, even large-scale ones, from scraps of themes jotted down randomly remained throughout his life. His early adult works included violin and piano pieces, music for the wind quintet in which he and his brother played between 1878 and 1881, and music of many types for the Powick Asylum band. Diana McVeagh in Grove's Dictionary finds many embryonic Elgarian touches in these pieces, but few of them are regularly played, except Salut d'Amour and (as arranged decades later into The Wand of Youth Suites) some of the childhood sketches. Elgar's sole work of note during his first spell in London in 1889-91, the overture Froissart, was a romantic-bravura piece, influenced by Mendelssohn and Wagner, but also showing further Elgarian characteristics. Orchestral works composed during the subsequent years in Worcestershire include the Serenade for Strings and Three Bavarian Dances. In this period and later, Elgar wrote songs and partsongs. W. H. Reed expressed reservations about these pieces, but praised the partsong The Snow, for female voices, and Sea Pictures, a cycle of five songs for contralto and orchestra which remains in the repertory.  Elgar's principal large-scale early works were for chorus and orchestra for the Three Choirs and other festivals. These were The Black Knight, King Olaf, The Light of Life, The Banner of St George and Caractacus. He also wrote a Te Deum and Benedictus for the Hereford Festival. Of these, McVeagh comments favourably on his lavish orchestration and innovative use of leitmotifs, but less favourably on the qualities of his chosen texts and the patchiness of his inspiration. McVeagh makes the point that, because these works of the 1890s were for many years little known (and performances remain rare), the mastery of his first great success, the Enigma Variations, appeared to be a sudden transformation from mediocrity to genius, but in fact his orchestral skills had been building up throughout the decade.

by which titles?
Serenade for Strings and Three Bavarian Dances.