Providian Financial Corp., which has been plagued by lawsuits and related bad publicity, said it had a net increase of 1.1 million accounts during the second quarter.

In an earnings announcement Thursday, Providian said it had discovered a "programming error" that had resulted "over a period of months, in the billing of erroneous late fees related to specific weekend days." Providian said it has fixed the problem, and took a one-time charge of $20 million to cover the cost of refunds.

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